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	<id>https://mathed.net/w/index.php?action=history&amp;feed=atom&amp;title=Lehrer_%282009%29</id>
	<title>Lehrer (2009) - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://mathed.net/w/index.php?action=history&amp;feed=atom&amp;title=Lehrer_%282009%29"/>
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	<updated>2026-09-20T21:48:30Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1168&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: Changed Kuhn (1962) link to go to Wikipedia</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1168&amp;oldid=prev"/>
		<updated>2015-04-28T01:44:11Z</updated>

		<summary type="html">&lt;p&gt;Changed Kuhn (1962) link to go to Wikipedia&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:44, 28 April 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l54&quot;&gt;Line 54:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 54:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer describes a design for science education that attempts to base children&amp;#039;s education &amp;quot;in the invention and revision of models&amp;quot; (p. 763) of natural systems. This work includes design at two levels: the level of the student, and the level of the teacher who engages students in modeling. To define modeling, Lehrer differentiates between &amp;#039;&amp;#039;science as logic&amp;#039;&amp;#039; and &amp;#039;&amp;#039;science as modeling&amp;#039;&amp;#039; ([[Lehrer &amp;amp; Schauble (2006) scientific|Lehrer &amp;amp; Schauble, 2006b]]), where science as logic reflects a more traditional view such as [[Inhelder &amp;amp; Piaget (1958)|Inhelder &amp;amp; Piaget&amp;#039;s (1958)]] description of science as skills and heuristics for hypothetical-deductive reasoning. Rooted in logical positivism ({{Cite|Carnap|1967}}; {{Cite|Hempel|1952}}; {{Cite|Mach|1898/1942}}), this logical view of science is believed to be generalizable ({{Cite|Schunn &amp;amp; Anderson|1999}}) and is recommended by some to be taught via direct instruction ({{Cite|Klahr &amp;amp; Nigam|2004}}) or in experiments focused on maintaining control of variables ({{Cite|Dean &amp;amp; Kuhn|2007}}).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer describes a design for science education that attempts to base children&amp;#039;s education &amp;quot;in the invention and revision of models&amp;quot; (p. 763) of natural systems. This work includes design at two levels: the level of the student, and the level of the teacher who engages students in modeling. To define modeling, Lehrer differentiates between &amp;#039;&amp;#039;science as logic&amp;#039;&amp;#039; and &amp;#039;&amp;#039;science as modeling&amp;#039;&amp;#039; ([[Lehrer &amp;amp; Schauble (2006) scientific|Lehrer &amp;amp; Schauble, 2006b]]), where science as logic reflects a more traditional view such as [[Inhelder &amp;amp; Piaget (1958)|Inhelder &amp;amp; Piaget&amp;#039;s (1958)]] description of science as skills and heuristics for hypothetical-deductive reasoning. Rooted in logical positivism ({{Cite|Carnap|1967}}; {{Cite|Hempel|1952}}; {{Cite|Mach|1898/1942}}), this logical view of science is believed to be generalizable ({{Cite|Schunn &amp;amp; Anderson|1999}}) and is recommended by some to be taught via direct instruction ({{Cite|Klahr &amp;amp; Nigam|2004}}) or in experiments focused on maintaining control of variables ({{Cite|Dean &amp;amp; Kuhn|2007}}).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Science as modeling is rooted in refutations of positivism ({{Cite|Duschl &amp;amp; Grandy|2008}}; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Cite|&lt;/del&gt;Kuhn&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|&lt;/del&gt;1962&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/del&gt;) and proposes that scientists invent and revise models to connect theory and the world ({{Cite|Giere|1988}}; {{Cite|Hesse|1962}}). Modeling may be central to laboratory tasks (e.g., {{Cite|Clement|1988}}; {{Cite|Gentner &amp;amp; Gentner|1983}}), historical studies ({{Cite|Gooding|1990}}; {{Cite|Nersessian|2008}}), or ethnography ({{Cite|Dunbar|1998}}; {{Cite|Nersessian, Kurz-Milcke, Newsletter, &amp;amp; Davies|2003}}) that generates idealizations of a working system in context.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Science as modeling is rooted in refutations of positivism ({{Cite|Duschl &amp;amp; Grandy|2008}}; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[http://en.wikipedia.org/wiki/The_Structure_of_Scientific_Revolutions &lt;/ins&gt;Kuhn&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, &lt;/ins&gt;1962&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]&lt;/ins&gt;) and proposes that scientists invent and revise models to connect theory and the world ({{Cite|Giere|1988}}; {{Cite|Hesse|1962}}). Modeling may be central to laboratory tasks (e.g., {{Cite|Clement|1988}}; {{Cite|Gentner &amp;amp; Gentner|1983}}), historical studies ({{Cite|Gooding|1990}}; {{Cite|Nersessian|2008}}), or ethnography ({{Cite|Dunbar|1998}}; {{Cite|Nersessian, Kurz-Milcke, Newsletter, &amp;amp; Davies|2003}}) that generates idealizations of a working system in context.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While model-based approaches to science education existed (e.g. {{Cite|Hestenes|1992}}; {{Cite|Lesh &amp;amp; Doerr|1998}}; {{Cite|White &amp;amp; Frederiksen|1998}}), Lehrer wished to focus on modeling practices with younger learners whose scientific participation was just emerging. Because modeling involves comparisons of representations to the world, Lehrer leveraged research on childrens&amp;#039; analogial reasoning ({{Cite|Gentner &amp;amp; Toupin|1986}}), thinking not only about models might be accessible to children, but which may best be generated and revised by the children themselves. Lehrer&amp;#039;s professional development around modeling (Lehrer &amp;amp; Schauble, [[Lehrer &amp;amp; Schauble (2000)|2000]], [[Lehrer &amp;amp; Schauble (2005)|2005]]) focused on (a) arranging activity and opportunities for students to question and model a natural system and (b) the investigation of student thinking as students proposed, tested, and revised their models. The products of this professional development (e.g., {{Cite|Lehrer &amp;amp; Curtis|2000}}; [[Lehrer &amp;amp; Schauble (2002) investigating|Lehrer &amp;amp; Schauble, 2002a]]; {{Cite|Lucas, Broderick, Lehrer, &amp;amp; Bohanan|2005}}), combined with cooperation with school administrators, fostered a professional community ({{Cite|Gamoran, Anderson, Quiroz, Secada, Williams, &amp;amp; Ashmann|2003}}) to support students&amp;#039; use of models.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While model-based approaches to science education existed (e.g. {{Cite|Hestenes|1992}}; {{Cite|Lesh &amp;amp; Doerr|1998}}; {{Cite|White &amp;amp; Frederiksen|1998}}), Lehrer wished to focus on modeling practices with younger learners whose scientific participation was just emerging. Because modeling involves comparisons of representations to the world, Lehrer leveraged research on childrens&amp;#039; analogial reasoning ({{Cite|Gentner &amp;amp; Toupin|1986}}), thinking not only about models might be accessible to children, but which may best be generated and revised by the children themselves. Lehrer&amp;#039;s professional development around modeling (Lehrer &amp;amp; Schauble, [[Lehrer &amp;amp; Schauble (2000)|2000]], [[Lehrer &amp;amp; Schauble (2005)|2005]]) focused on (a) arranging activity and opportunities for students to question and model a natural system and (b) the investigation of student thinking as students proposed, tested, and revised their models. The products of this professional development (e.g., {{Cite|Lehrer &amp;amp; Curtis|2000}}; [[Lehrer &amp;amp; Schauble (2002) investigating|Lehrer &amp;amp; Schauble, 2002a]]; {{Cite|Lucas, Broderick, Lehrer, &amp;amp; Bohanan|2005}}), combined with cooperation with school administrators, fostered a professional community ({{Cite|Gamoran, Anderson, Quiroz, Secada, Williams, &amp;amp; Ashmann|2003}}) to support students&amp;#039; use of models.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1167&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: linked Boaler 2002 to Boaler (2002) (book)</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1167&amp;oldid=prev"/>
		<updated>2013-11-21T01:13:57Z</updated>

		<summary type="html">&lt;p&gt;linked Boaler 2002 to Boaler (2002) (book)&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:13, 21 November 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l42&quot;&gt;Line 42:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 42:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: Material means play a larger role in some disciplines, particularly in science where there is a history of debate between knowledge via reasoning versus through experiments and instruments. Lehrer&amp;#039;s concern for school science is that &amp;quot;materiality is obscured by providing students with questions to answer, apparatus, and prescribed routines, exemplified by labs. Students are seldom asked to struggle with the material problem of developing conditions or instruments for investigation. Yet, these struggles with the natural world define, constrain, and enhance scientific ways of knowing&amp;quot; (p. 762).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: Material means play a larger role in some disciplines, particularly in science where there is a history of debate between knowledge via reasoning versus through experiments and instruments. Lehrer&amp;#039;s concern for school science is that &amp;quot;materiality is obscured by providing students with questions to answer, apparatus, and prescribed routines, exemplified by labs. Students are seldom asked to struggle with the material problem of developing conditions or instruments for investigation. Yet, these struggles with the natural world define, constrain, and enhance scientific ways of knowing&amp;quot; (p. 762).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;;Modes and Means of Argument&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;;Modes and Means of Argument&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: Disciplines rely on unique rhetoric ({{Cite|Bazerman|1988}}). Mathematical proof, for example, is a form of argument essential to the disciplined but used with difficulty students and, frequently, their teachers (e.g., {{Cite|Hanna|1995}}). Sometimes &quot;what counts&quot; as an explanation is a negotiated norm (e.g., {{Cite|Yackel &amp;amp; Cobb|1996}}), a condition that supports greater conceptual understanding (&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Cite&lt;/del&gt;|Boaler&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|&lt;/del&gt;2002&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&amp;lt;!--Experiencing School Mathematics--&amp;gt;&lt;/del&gt;).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: Disciplines rely on unique rhetoric ({{Cite|Bazerman|1988}}). Mathematical proof, for example, is a form of argument essential to the disciplined but used with difficulty students and, frequently, their teachers (e.g., {{Cite|Hanna|1995}}). Sometimes &quot;what counts&quot; as an explanation is a negotiated norm (e.g., {{Cite|Yackel &amp;amp; Cobb|1996}}), a condition that supports greater conceptual understanding (&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Boaler (2002) (book)&lt;/ins&gt;|Boaler&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, &lt;/ins&gt;2002&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;;Identity&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;;Identity&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: [[Gee (1999)]] argued that learning goes beyond content and performance to include &amp;quot;a particular type of who (identity) engaged in a particular type of what (activity)&amp;quot; ([[Gee (1999)|Gee, 1999, p. 18]]). The design of learning environments should consider what it means to participate in the discipline ({{Cite|Gresalfi|2009}}) and how to author disciplinary knowledge ({{Cite|Lehrer|1993}}).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: [[Gee (1999)]] argued that learning goes beyond content and performance to include &amp;quot;a particular type of who (identity) engaged in a particular type of what (activity)&amp;quot; ([[Gee (1999)|Gee, 1999, p. 18]]). The design of learning environments should consider what it means to participate in the discipline ({{Cite|Gresalfi|2009}}) and how to author disciplinary knowledge ({{Cite|Lehrer|1993}}).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1166&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: added summaries category</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1166&amp;oldid=prev"/>
		<updated>2013-11-14T18:31:15Z</updated>

		<summary type="html">&lt;p&gt;added summaries category&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:31, 14 November 2013&lt;/td&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/pre&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/pre&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Summaries]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Journal Articles]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Journal Articles]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:American Psychologist]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:American Psychologist]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1165&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: finish summary</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1165&amp;oldid=prev"/>
		<updated>2013-11-14T02:45:15Z</updated>

		<summary type="html">&lt;p&gt;finish summary&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 02:45, 14 November 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l56&quot;&gt;Line 56:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 56:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Science as modeling is rooted in refutations of positivism ({{Cite|Duschl &amp;amp; Grandy|2008}}; {{Cite|Kuhn|1962}}) and proposes that scientists invent and revise models to connect theory and the world ({{Cite|Giere|1988}}; {{Cite|Hesse|1962}}). Modeling may be central to laboratory tasks (e.g., {{Cite|Clement|1988}}; {{Cite|Gentner &amp;amp; Gentner|1983}}), historical studies ({{Cite|Gooding|1990}}; {{Cite|Nersessian|2008}}), or ethnography ({{Cite|Dunbar|1998}}; {{Cite|Nersessian, Kurz-Milcke, Newsletter, &amp;amp; Davies|2003}}) that generates idealizations of a working system in context.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Science as modeling is rooted in refutations of positivism ({{Cite|Duschl &amp;amp; Grandy|2008}}; {{Cite|Kuhn|1962}}) and proposes that scientists invent and revise models to connect theory and the world ({{Cite|Giere|1988}}; {{Cite|Hesse|1962}}). Modeling may be central to laboratory tasks (e.g., {{Cite|Clement|1988}}; {{Cite|Gentner &amp;amp; Gentner|1983}}), historical studies ({{Cite|Gooding|1990}}; {{Cite|Nersessian|2008}}), or ethnography ({{Cite|Dunbar|1998}}; {{Cite|Nersessian, Kurz-Milcke, Newsletter, &amp;amp; Davies|2003}}) that generates idealizations of a working system in context.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While model-based approaches to science education existed (e.g. {{Cite|Hestenes|1992}}; {{Cite|Lesh &amp;amp; Doerr|1998}}; {{Cite|White &amp;amp; Frederiksen|1998}}), Lehrer wished to focus on modeling practices with younger learners whose scientific participation was just emerging. Because modeling involves comparisons of representations to the world, Lehrer leveraged research on childrens&#039; analogial reasoning ({{Cite|Gentner &amp;amp; Toupin|1986}}), thinking not only about models might be accessible to children, but which may best be generated and revised by the children themselves. Lehrer&#039;s professional development around modeling (Lehrer &amp;amp; Schauble, [[Lehrer &amp;amp; Schauble (2000)|2000]], [[Lehrer &amp;amp; Schauble (2005)|2005]]) focused on (a) arranging activity and opportunities for students to question and model a natural system and (b) the investigation of student thinking as students proposed, tested, and revised their models. The products of this professional development (e.g., {{Cite|Lehrer &amp;amp; Curtis|2000}}; [[Lehrer &amp;amp; Schauble (2002) investigating|Lehrer &amp;amp; Schauble &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(&lt;/del&gt;2002a&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;)&lt;/del&gt;]]; {{Cite|Lucas, Broderick, Lehrer, &amp;amp; Bohanan|2005}}), combined with cooperation with school administrators, fostered a professional community ({{Cite|Gamoran, Anderson, Quiroz, Secada, Williams, &amp;amp; Ashmann|2003}}) to support students&#039; use of models.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While model-based approaches to science education existed (e.g. {{Cite|Hestenes|1992}}; {{Cite|Lesh &amp;amp; Doerr|1998}}; {{Cite|White &amp;amp; Frederiksen|1998}}), Lehrer wished to focus on modeling practices with younger learners whose scientific participation was just emerging. Because modeling involves comparisons of representations to the world, Lehrer leveraged research on childrens&#039; analogial reasoning ({{Cite|Gentner &amp;amp; Toupin|1986}}), thinking not only about models might be accessible to children, but which may best be generated and revised by the children themselves. Lehrer&#039;s professional development around modeling (Lehrer &amp;amp; Schauble, [[Lehrer &amp;amp; Schauble (2000)|2000]], [[Lehrer &amp;amp; Schauble (2005)|2005]]) focused on (a) arranging activity and opportunities for students to question and model a natural system and (b) the investigation of student thinking as students proposed, tested, and revised their models. The products of this professional development (e.g., {{Cite|Lehrer &amp;amp; Curtis|2000}}; [[Lehrer &amp;amp; Schauble (2002) investigating|Lehrer &amp;amp; Schauble&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, &lt;/ins&gt;2002a]]; {{Cite|Lucas, Broderick, Lehrer, &amp;amp; Bohanan|2005}}), combined with cooperation with school administrators, fostered a professional community ({{Cite|Gamoran, Anderson, Quiroz, Secada, Williams, &amp;amp; Ashmann|2003}}) to support students&#039; use of models.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer&amp;#039;s use of modeling with students initially focused on models that had some literal similarity ({{Cite|Grosslight, Unger, Jay, &amp;amp; Smith|1991}}) to the natural system, then transitioned towards models that focused more on the relations to the system and reflected the function of a phenomena instead of extraneous features ({{Cite|Lehrer, Carpenter, Schauble, &amp;amp; Putz|2000}}; {{Cite|Penner, Giles, Lehrer, &amp;amp; Schauble|1997}}). Other models attempt to recreate an environment on a smaller scale ({{Cite|Lehrer, Schauble, &amp;amp; Lucas|2008}}). Modeling often includes both individual and collective student work, with attempts to associate models to inquiry in the context of experience, centering epistemology in practice ({{Cite|Sandoval|2005}}). When students represent natural phenomena with models, the model is not just a recording, but also a representation of selections and interpretations. Students&amp;#039; use of mathematical inscriptions were particularly useful, as they transport across systems and enlarge the conceptual field in what [[Latour (1999)]] called circulating reference.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer&amp;#039;s use of modeling with students initially focused on models that had some literal similarity ({{Cite|Grosslight, Unger, Jay, &amp;amp; Smith|1991}}) to the natural system, then transitioned towards models that focused more on the relations to the system and reflected the function of a phenomena instead of extraneous features ({{Cite|Lehrer, Carpenter, Schauble, &amp;amp; Putz|2000}}; {{Cite|Penner, Giles, Lehrer, &amp;amp; Schauble|1997}}). Other models attempt to recreate an environment on a smaller scale ({{Cite|Lehrer, Schauble, &amp;amp; Lucas|2008}}). Modeling often includes both individual and collective student work, with attempts to associate models to inquiry in the context of experience, centering epistemology in practice ({{Cite|Sandoval|2005}}). When students represent natural phenomena with models, the model is not just a recording, but also a representation of selections and interpretations. Students&amp;#039; use of mathematical inscriptions were particularly useful, as they transport across systems and enlarge the conceptual field in what [[Latour (1999)]] called circulating reference.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For example, students modeling plant growth ({{Cite|Lehrer, Schauble, Carpenter, &amp;amp; Penner|2000}}) initially drew simple sketches of the plants, while later plant sketches were annotated with labels indicating height at various points in time. A later model illustrated plant growth with a graph, with different rates of growth identified between various points in time. Students measuring a bacteria population fit an exponential curve to model growth, then had to revise their model as the bacteria population slowed due to limited resources. The mathematical structure allowed for conjecturing and experimenting (by increasing the nutrient level to the bacteria, for example), and supported students&amp;#039; thinking about both the organisms and population of organisms. Students also considered matters of distribution and chance in relation to population growth ({{Cite|Lehrer &amp;amp; Schauble|2004}}) and made inquiries not only about the natural system, but about factors that cause change seen in their models.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For example, students modeling plant growth ({{Cite|Lehrer, Schauble, Carpenter, &amp;amp; Penner|2000}}) initially drew simple sketches of the plants, while later plant sketches were annotated with labels indicating height at various points in time. A later model illustrated plant growth with a graph, with different rates of growth identified between various points in time. Students measuring a bacteria population fit an exponential curve to model growth, then had to revise their model as the bacteria population slowed due to limited resources. The mathematical structure allowed for conjecturing and experimenting (by increasing the nutrient level to the bacteria, for example), and supported students&amp;#039; thinking about both the organisms and population of organisms. Students also considered matters of distribution and chance in relation to population growth ({{Cite|Lehrer &amp;amp; Schauble|2004}}) and made inquiries not only about the natural system, but about factors that cause change seen in their models.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The example Lehrer provides shows a different kind of science, one that studies natural systems using different methods of investigation ([[Lehrer &amp;amp; Schauble (2006) cultivating|Lehrer &amp;amp; Schauble, 2006a]]) using both physical and representation models. Physical models can amplify certain phenomena and draws attention to why things observed and measured, unlike traditional science lab experiments ({{Cite|Schauble, Glaser, Duschl, Schulze, &amp;amp; John|1995}}). Representational models encourage students to redescribe natural phenomena and promote conceptual growth. Representational models inscribe phenomena in ways that can be transported to other contexts, with mathematical inscriptions being particularly powerful. Together, physical models and representational models compliment each other ({{Cite|Nersessian|2008}}), and teachers can use them to give students opportunities to engage in disciplinary learning.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l91&quot;&gt;Line 91:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 93:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Learning Sciences]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Learning Sciences]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Design Research]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Design Research]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Modeling and Representation]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1164&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: /* Designing a Science Education */</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1164&amp;oldid=prev"/>
		<updated>2013-11-13T18:43:39Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Designing a Science Education&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:43, 13 November 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l58&quot;&gt;Line 58:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 58:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While model-based approaches to science education existed (e.g. {{Cite|Hestenes|1992}}; {{Cite|Lesh &amp;amp; Doerr|1998}}; {{Cite|White &amp;amp; Frederiksen|1998}}), Lehrer wished to focus on modeling practices with younger learners whose scientific participation was just emerging. Because modeling involves comparisons of representations to the world, Lehrer leveraged research on childrens&amp;#039; analogial reasoning ({{Cite|Gentner &amp;amp; Toupin|1986}}), thinking not only about models might be accessible to children, but which may best be generated and revised by the children themselves. Lehrer&amp;#039;s professional development around modeling (Lehrer &amp;amp; Schauble, [[Lehrer &amp;amp; Schauble (2000)|2000]], [[Lehrer &amp;amp; Schauble (2005)|2005]]) focused on (a) arranging activity and opportunities for students to question and model a natural system and (b) the investigation of student thinking as students proposed, tested, and revised their models. The products of this professional development (e.g., {{Cite|Lehrer &amp;amp; Curtis|2000}}; [[Lehrer &amp;amp; Schauble (2002) investigating|Lehrer &amp;amp; Schauble (2002a)]]; {{Cite|Lucas, Broderick, Lehrer, &amp;amp; Bohanan|2005}}), combined with cooperation with school administrators, fostered a professional community ({{Cite|Gamoran, Anderson, Quiroz, Secada, Williams, &amp;amp; Ashmann|2003}}) to support students&amp;#039; use of models.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While model-based approaches to science education existed (e.g. {{Cite|Hestenes|1992}}; {{Cite|Lesh &amp;amp; Doerr|1998}}; {{Cite|White &amp;amp; Frederiksen|1998}}), Lehrer wished to focus on modeling practices with younger learners whose scientific participation was just emerging. Because modeling involves comparisons of representations to the world, Lehrer leveraged research on childrens&amp;#039; analogial reasoning ({{Cite|Gentner &amp;amp; Toupin|1986}}), thinking not only about models might be accessible to children, but which may best be generated and revised by the children themselves. Lehrer&amp;#039;s professional development around modeling (Lehrer &amp;amp; Schauble, [[Lehrer &amp;amp; Schauble (2000)|2000]], [[Lehrer &amp;amp; Schauble (2005)|2005]]) focused on (a) arranging activity and opportunities for students to question and model a natural system and (b) the investigation of student thinking as students proposed, tested, and revised their models. The products of this professional development (e.g., {{Cite|Lehrer &amp;amp; Curtis|2000}}; [[Lehrer &amp;amp; Schauble (2002) investigating|Lehrer &amp;amp; Schauble (2002a)]]; {{Cite|Lucas, Broderick, Lehrer, &amp;amp; Bohanan|2005}}), combined with cooperation with school administrators, fostered a professional community ({{Cite|Gamoran, Anderson, Quiroz, Secada, Williams, &amp;amp; Ashmann|2003}}) to support students&amp;#039; use of models.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer&#039;s use of modeling with students initially focused on models that had some literal similarity ({{Cite|Grosslight, Unger, Jay, &amp;amp; Smith|1991}}) to the natural system, then transitioned towards models that focused more on the relations to the system and reflected the function of a phenomena instead of extraneous features ({{Cite|Lehrer, Carpenter, Schauble, &amp;amp; Putz|2000}}; {{Cite|Penner, Giles, Lehrer, &amp;amp; Schauble|1997}}). Other models attempt to recreate an environment on a smaller scale ({{Cite|Lehrer, Schauble, &amp;amp; Lucas|2008}}). Modeling often includes both individual and collective student work, with attempts to associate models to inquiry in the context of experience, centering epistemology in practice ({{Cite|Sandoval|2005}}). When students represent natural phenomena with models, the model is not just a recording, but also a representation of selections and interpretations.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer&#039;s use of modeling with students initially focused on models that had some literal similarity ({{Cite|Grosslight, Unger, Jay, &amp;amp; Smith|1991}}) to the natural system, then transitioned towards models that focused more on the relations to the system and reflected the function of a phenomena instead of extraneous features ({{Cite|Lehrer, Carpenter, Schauble, &amp;amp; Putz|2000}}; {{Cite|Penner, Giles, Lehrer, &amp;amp; Schauble|1997}}). Other models attempt to recreate an environment on a smaller scale ({{Cite|Lehrer, Schauble, &amp;amp; Lucas|2008}}). Modeling often includes both individual and collective student work, with attempts to associate models to inquiry in the context of experience, centering epistemology in practice ({{Cite|Sandoval|2005}}). When students represent natural phenomena with models, the model is not just a recording, but also a representation of selections and interpretations&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. Students&#039; use of mathematical inscriptions were particularly useful, as they transport across systems and enlarge the conceptual field in what [[Latour (1999)]] called circulating reference.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For example, students modeling plant growth ({{Cite|Lehrer, Schauble, Carpenter, &amp;amp; Penner|2000}}) initially drew simple sketches of the plants, while later plant sketches were annotated with labels indicating height at various points in time. A later model illustrated plant growth with a graph, with different rates of growth identified between various points in time. Students measuring a bacteria population fit an exponential curve to model growth, then had to revise their model as the bacteria population slowed due to limited resources. The mathematical structure allowed for conjecturing and experimenting (by increasing the nutrient level to the bacteria, for example), and supported students&#039; thinking about both the organisms and population of organisms. Students also considered matters of distribution and chance in relation to population growth ({{Cite|Lehrer &amp;amp; Schauble|2004}}) and made inquiries not only about the natural system, but about factors that cause change seen in their models&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1163&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: /* Designing a Science Education */ reordered - the PDF was out of order!</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1163&amp;oldid=prev"/>
		<updated>2013-11-13T18:23:08Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Designing a Science Education: &lt;/span&gt; reordered - the PDF was out of order!&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:23, 13 November 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l54&quot;&gt;Line 54:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 54:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer describes a design for science education that attempts to base children&amp;#039;s education &amp;quot;in the invention and revision of models&amp;quot; (p. 763) of natural systems. This work includes design at two levels: the level of the student, and the level of the teacher who engages students in modeling. To define modeling, Lehrer differentiates between &amp;#039;&amp;#039;science as logic&amp;#039;&amp;#039; and &amp;#039;&amp;#039;science as modeling&amp;#039;&amp;#039; ([[Lehrer &amp;amp; Schauble (2006) scientific|Lehrer &amp;amp; Schauble, 2006b]]), where science as logic reflects a more traditional view such as [[Inhelder &amp;amp; Piaget (1958)|Inhelder &amp;amp; Piaget&amp;#039;s (1958)]] description of science as skills and heuristics for hypothetical-deductive reasoning. Rooted in logical positivism ({{Cite|Carnap|1967}}; {{Cite|Hempel|1952}}; {{Cite|Mach|1898/1942}}), this logical view of science is believed to be generalizable ({{Cite|Schunn &amp;amp; Anderson|1999}}) and is recommended by some to be taught via direct instruction ({{Cite|Klahr &amp;amp; Nigam|2004}}) or in experiments focused on maintaining control of variables ({{Cite|Dean &amp;amp; Kuhn|2007}}).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer describes a design for science education that attempts to base children&amp;#039;s education &amp;quot;in the invention and revision of models&amp;quot; (p. 763) of natural systems. This work includes design at two levels: the level of the student, and the level of the teacher who engages students in modeling. To define modeling, Lehrer differentiates between &amp;#039;&amp;#039;science as logic&amp;#039;&amp;#039; and &amp;#039;&amp;#039;science as modeling&amp;#039;&amp;#039; ([[Lehrer &amp;amp; Schauble (2006) scientific|Lehrer &amp;amp; Schauble, 2006b]]), where science as logic reflects a more traditional view such as [[Inhelder &amp;amp; Piaget (1958)|Inhelder &amp;amp; Piaget&amp;#039;s (1958)]] description of science as skills and heuristics for hypothetical-deductive reasoning. Rooted in logical positivism ({{Cite|Carnap|1967}}; {{Cite|Hempel|1952}}; {{Cite|Mach|1898/1942}}), this logical view of science is believed to be generalizable ({{Cite|Schunn &amp;amp; Anderson|1999}}) and is recommended by some to be taught via direct instruction ({{Cite|Klahr &amp;amp; Nigam|2004}}) or in experiments focused on maintaining control of variables ({{Cite|Dean &amp;amp; Kuhn|2007}}).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Science as modeling is rooted in refutations of positivism ({{Cite|Duschl &amp;amp; Grandy|2008}}; {{Cite|Kuhn|1962}}) and proposes that scientists invent and revise models to connect theory and the world ({{Cite|Giere|1988}}; {{Cite|Hesse|1962}}). Modeling may be central to laboratory tasks (e.g., {{Cite|Clement|1988}}; {{Cite|Gentner &amp;amp; Gentner|1983}}) &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;or &lt;/del&gt;historical studies ({{Cite|Gooding|1990}}; {{Cite|Nersessian|2008}}), &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;particularly those in which student models change to reflect the function of a phenomena instead of extraneous features ({{Cite|Lehrer, Carpenter, Schauble, &amp;amp; Putz|2000}}; {{Cite|Penner, Giles, Lehrer, &amp;amp; Schauble|1997}}). Other models attempt to recreate an environment on a smaller scale ({{Cite|Lehrer, Schauble, &amp;amp; Lucas|2008}}). Modeling often includes both individual and collective student work, with attempts to associate models to inquiry in the context of experience, centering epistemology in practice ({{Cite|Sandoval|2005}}). When students represent natural phenomena with models, the model is not just a recording, but also a representation of selections and interpretations. Ethnography can also be an approach to modeling &lt;/del&gt;({{Cite|Dunbar|1998}}; {{Cite|Nersessian, Kurz-Milcke, Newsletter, &amp;amp; Davies|2003}}) that generates idealizations of a working system in context.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Science as modeling is rooted in refutations of positivism ({{Cite|Duschl &amp;amp; Grandy|2008}}; {{Cite|Kuhn|1962}}) and proposes that scientists invent and revise models to connect theory and the world ({{Cite|Giere|1988}}; {{Cite|Hesse|1962}}). Modeling may be central to laboratory tasks (e.g., {{Cite|Clement|1988}}; {{Cite|Gentner &amp;amp; Gentner|1983}})&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, &lt;/ins&gt;historical studies ({{Cite|Gooding|1990}}; {{Cite|Nersessian|2008}}), &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;or ethnography &lt;/ins&gt;({{Cite|Dunbar|1998}}; {{Cite|Nersessian, Kurz-Milcke, Newsletter, &amp;amp; Davies|2003}}) that generates idealizations of a working system in context.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While model-based approaches to science education existed (e.g. {{Cite|Hestenes|1992}}; {{Cite|Lesh &amp;amp; Doerr|1998}}; {{Cite|White &amp;amp; Frederiksen|1998}}), Lehrer wished to focus on modeling practices with younger learners whose scientific participation was just emerging. Because modeling involves comparisons of representations to the world, Lehrer leveraged research on childrens&amp;#039; analogial reasoning ({{Cite|Gentner &amp;amp; Toupin|1986}}), thinking not only about models might be accessible to children, but which may best be generated and revised by the children themselves. Lehrer&amp;#039;s professional development around modeling (Lehrer &amp;amp; Schauble, [[Lehrer &amp;amp; Schauble (2000)|2000]], [[Lehrer &amp;amp; Schauble (2005)|2005]]) focused on (a) arranging activity and opportunities for students to question and model a natural system and (b) the investigation of student thinking as students proposed, tested, and revised their models. The products of this professional development (e.g., {{Cite|Lehrer &amp;amp; Curtis|2000}}; [[Lehrer &amp;amp; Schauble (2002) investigating|Lehrer &amp;amp; Schauble (2002a)]]; {{Cite|Lucas, Broderick, Lehrer, &amp;amp; Bohanan|2005}}), combined with cooperation with school administrators, fostered a professional community ({{Cite|Gamoran, Anderson, Quiroz, Secada, Williams, &amp;amp; Ashmann|2003}}) to support students&amp;#039; use of models.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;While model-based approaches to science education existed (e.g. {{Cite|Hestenes|1992}}; {{Cite|Lesh &amp;amp; Doerr|1998}}; {{Cite|White &amp;amp; Frederiksen|1998}}), Lehrer wished to focus on modeling practices with younger learners whose scientific participation was just emerging. Because modeling involves comparisons of representations to the world, Lehrer leveraged research on childrens&amp;#039; analogial reasoning ({{Cite|Gentner &amp;amp; Toupin|1986}}), thinking not only about models might be accessible to children, but which may best be generated and revised by the children themselves. Lehrer&amp;#039;s professional development around modeling (Lehrer &amp;amp; Schauble, [[Lehrer &amp;amp; Schauble (2000)|2000]], [[Lehrer &amp;amp; Schauble (2005)|2005]]) focused on (a) arranging activity and opportunities for students to question and model a natural system and (b) the investigation of student thinking as students proposed, tested, and revised their models. The products of this professional development (e.g., {{Cite|Lehrer &amp;amp; Curtis|2000}}; [[Lehrer &amp;amp; Schauble (2002) investigating|Lehrer &amp;amp; Schauble (2002a)]]; {{Cite|Lucas, Broderick, Lehrer, &amp;amp; Bohanan|2005}}), combined with cooperation with school administrators, fostered a professional community ({{Cite|Gamoran, Anderson, Quiroz, Secada, Williams, &amp;amp; Ashmann|2003}}) to support students&amp;#039; use of models.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Lehrer&#039;s use of modeling with students initially focused on models that had some literal similarity ({{Cite|Grosslight, Unger, Jay, &amp;amp; Smith|1991}}) to the natural system, then transitioned towards models that focused more on the relations to the system and reflected the function of a phenomena instead of extraneous features ({{Cite|Lehrer, Carpenter, Schauble, &amp;amp; Putz|2000}}; {{Cite|Penner, Giles, Lehrer, &amp;amp; Schauble|1997}}). Other models attempt to recreate an environment on a smaller scale ({{Cite|Lehrer, Schauble, &amp;amp; Lucas|2008}}). Modeling often includes both individual and collective student work, with attempts to associate models to inquiry in the context of experience, centering epistemology in practice ({{Cite|Sandoval|2005}}). When students represent natural phenomena with models, the model is not just a recording, but also a representation of selections and interpretations.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1162&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: /* Designing a Science Education */ added PD</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1162&amp;oldid=prev"/>
		<updated>2013-11-13T17:47:43Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Designing a Science Education: &lt;/span&gt; added PD&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:47, 13 November 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l52&quot;&gt;Line 52:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 52:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Designing a Science Education ===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Designing a Science Education ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer describes a design for science education that attempts to base children&#039;s education &quot;in the invention and revision of models&quot; (p. 763) of natural systems. This work includes design at two levels: the level of the student, and the level of the teacher who engages students in modeling. To define modeling, Lehrer differentiates between &#039;&#039;science as logic&#039;&#039; and &#039;&#039;science &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;of &lt;/del&gt;modeling&#039;&#039; ([[Lehrer &amp;amp; Schauble (2006) scientific|Lehrer &amp;amp; Schauble, 2006b]]), where science as logic reflects a more traditional view such as [[Inhelder &amp;amp; Piaget (1958)|Inhelder &amp;amp; Piaget&#039;s (1958)]] description of science as skills and heuristics for hypothetical-deductive reasoning. Rooted in logical positivism ({{Cite|Carnap|1967}}; {{Cite|Hempel|1952}}; {{Cite|Mach|1898/1942}}), this logical view of science is believed to be generalizable ({{Cite|Schunn &amp;amp; Anderson|1999}}) and is recommended by some to be taught via direct instruction ({{Cite|Klahr &amp;amp; Nigam|2004}}) or in experiments focused on maintaining control of variables ({{Cite|Dean &amp;amp; Kuhn|2007}}).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer describes a design for science education that attempts to base children&#039;s education &quot;in the invention and revision of models&quot; (p. 763) of natural systems. This work includes design at two levels: the level of the student, and the level of the teacher who engages students in modeling. To define modeling, Lehrer differentiates between &#039;&#039;science as logic&#039;&#039; and &#039;&#039;science &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;as &lt;/ins&gt;modeling&#039;&#039; ([[Lehrer &amp;amp; Schauble (2006) scientific|Lehrer &amp;amp; Schauble, 2006b]]), where science as logic reflects a more traditional view such as [[Inhelder &amp;amp; Piaget (1958)|Inhelder &amp;amp; Piaget&#039;s (1958)]] description of science as skills and heuristics for hypothetical-deductive reasoning. Rooted in logical positivism ({{Cite|Carnap|1967}}; {{Cite|Hempel|1952}}; {{Cite|Mach|1898/1942}}), this logical view of science is believed to be generalizable ({{Cite|Schunn &amp;amp; Anderson|1999}}) and is recommended by some to be taught via direct instruction ({{Cite|Klahr &amp;amp; Nigam|2004}}) or in experiments focused on maintaining control of variables ({{Cite|Dean &amp;amp; Kuhn|2007}}).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Science as modeling is rooted in refutations of positivism ({{Cite|Duschl &amp;amp; Grandy|2008}}; {{Cite|Kuhn|1962}}) and proposes that scientists invent and revise models to connect theory and the world ({{Cite|Giere|1988}}; {{Cite|Hesse|1962}}). Modeling may be central to laboratory tasks (e.g., {{Cite|Clement|1988}}; {{Cite|Gentner &amp;amp; Gentner|1983}}) or historical studies ({{Cite|Gooding|1990}}; {{Cite|Nersessian|2008}}), particularly those in which student models change to reflect the function of a phenomena instead of extraneous features ({{Cite|Lehrer, Carpenter, Schauble, &amp;amp; Putz|2000}}; {{Cite|Penner, Giles, Lehrer, &amp;amp; Schauble|1997}}). Other models attempt to recreate an environment on a smaller scale ({{Cite|Lehrer, Schauble, &amp;amp; Lucas|2008}}). Modeling often includes both individual and collective student work, with attempts to associate models to inquiry in the context of experience, centering epistemology in practice ({{Cite|Sandoval|2005}}).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Science as modeling is rooted in refutations of positivism ({{Cite|Duschl &amp;amp; Grandy|2008}}; {{Cite|Kuhn|1962}}) and proposes that scientists invent and revise models to connect theory and the world ({{Cite|Giere|1988}}; {{Cite|Hesse|1962}}). Modeling may be central to laboratory tasks (e.g., {{Cite|Clement|1988}}; {{Cite|Gentner &amp;amp; Gentner|1983}}) or historical studies ({{Cite|Gooding|1990}}; {{Cite|Nersessian|2008}}), particularly those in which student models change to reflect the function of a phenomena instead of extraneous features ({{Cite|Lehrer, Carpenter, Schauble, &amp;amp; Putz|2000}}; {{Cite|Penner, Giles, Lehrer, &amp;amp; Schauble|1997}}). Other models attempt to recreate an environment on a smaller scale ({{Cite|Lehrer, Schauble, &amp;amp; Lucas|2008}}). Modeling often includes both individual and collective student work, with attempts to associate models to inquiry in the context of experience, centering epistemology in practice ({{Cite|Sandoval|2005}})&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. When students represent natural phenomena with models, the model is not just a recording, but also a representation of selections and interpretations. Ethnography can also be an approach to modeling ({{Cite|Dunbar|1998}}; {{Cite|Nersessian, Kurz-Milcke, Newsletter, &amp;amp; Davies|2003}}) that generates idealizations of a working system in context.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;While model-based approaches to science education existed (e.g. {{Cite|Hestenes|1992}}; {{Cite|Lesh &amp;amp; Doerr|1998}}; {{Cite|White &amp;amp; Frederiksen|1998}}), Lehrer wished to focus on modeling practices with younger learners whose scientific participation was just emerging. Because modeling involves comparisons of representations to the world, Lehrer leveraged research on childrens&#039; analogial reasoning ({{Cite|Gentner &amp;amp; Toupin|1986}}), thinking not only about models might be accessible to children, but which may best be generated and revised by the children themselves. Lehrer&#039;s professional development around modeling (Lehrer &amp;amp; Schauble, [[Lehrer &amp;amp; Schauble (2000)|2000]], [[Lehrer &amp;amp; Schauble (2005)|2005]]) focused on (a) arranging activity and opportunities for students to question and model a natural system and (b) the investigation of student thinking as students proposed, tested, and revised their models. The products of this professional development (e.g., {{Cite|Lehrer &amp;amp; Curtis|2000}}; [[Lehrer &amp;amp; Schauble (2002) investigating|Lehrer &amp;amp; Schauble (2002a)]]; {{Cite|Lucas, Broderick, Lehrer, &amp;amp; Bohanan|2005}}), combined with cooperation with school administrators, fostered a professional community ({{Cite|Gamoran, Anderson, Quiroz, Secada, Williams, &amp;amp; Ashmann|2003}}) to support students&#039; use of models&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1161&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: /* Designing a Science Education */ describing models</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1161&amp;oldid=prev"/>
		<updated>2013-11-13T05:20:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Designing a Science Education: &lt;/span&gt; describing models&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 05:20, 13 November 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l53&quot;&gt;Line 53:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 53:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer describes a design for science education that attempts to base children&amp;#039;s education &amp;quot;in the invention and revision of models&amp;quot; (p. 763) of natural systems. This work includes design at two levels: the level of the student, and the level of the teacher who engages students in modeling. To define modeling, Lehrer differentiates between &amp;#039;&amp;#039;science as logic&amp;#039;&amp;#039; and &amp;#039;&amp;#039;science of modeling&amp;#039;&amp;#039; ([[Lehrer &amp;amp; Schauble (2006) scientific|Lehrer &amp;amp; Schauble, 2006b]]), where science as logic reflects a more traditional view such as [[Inhelder &amp;amp; Piaget (1958)|Inhelder &amp;amp; Piaget&amp;#039;s (1958)]] description of science as skills and heuristics for hypothetical-deductive reasoning. Rooted in logical positivism ({{Cite|Carnap|1967}}; {{Cite|Hempel|1952}}; {{Cite|Mach|1898/1942}}), this logical view of science is believed to be generalizable ({{Cite|Schunn &amp;amp; Anderson|1999}}) and is recommended by some to be taught via direct instruction ({{Cite|Klahr &amp;amp; Nigam|2004}}) or in experiments focused on maintaining control of variables ({{Cite|Dean &amp;amp; Kuhn|2007}}).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer describes a design for science education that attempts to base children&amp;#039;s education &amp;quot;in the invention and revision of models&amp;quot; (p. 763) of natural systems. This work includes design at two levels: the level of the student, and the level of the teacher who engages students in modeling. To define modeling, Lehrer differentiates between &amp;#039;&amp;#039;science as logic&amp;#039;&amp;#039; and &amp;#039;&amp;#039;science of modeling&amp;#039;&amp;#039; ([[Lehrer &amp;amp; Schauble (2006) scientific|Lehrer &amp;amp; Schauble, 2006b]]), where science as logic reflects a more traditional view such as [[Inhelder &amp;amp; Piaget (1958)|Inhelder &amp;amp; Piaget&amp;#039;s (1958)]] description of science as skills and heuristics for hypothetical-deductive reasoning. Rooted in logical positivism ({{Cite|Carnap|1967}}; {{Cite|Hempel|1952}}; {{Cite|Mach|1898/1942}}), this logical view of science is believed to be generalizable ({{Cite|Schunn &amp;amp; Anderson|1999}}) and is recommended by some to be taught via direct instruction ({{Cite|Klahr &amp;amp; Nigam|2004}}) or in experiments focused on maintaining control of variables ({{Cite|Dean &amp;amp; Kuhn|2007}}).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Science as modeling is rooted in refutations of positivism ({{Cite|Duschl &amp;amp; Grandy|2008}}; {{Cite|Kuhn|1962}}) and proposes that scientists invent and revise models to connect theory and the world ({{Cite|Giere|1988}}; {{Cite|Hesse|1962}}). Modeling may be central to laboratory tasks (e.g., {{Cite|Clement|1988}}; {{Cite|Gentner &amp;amp; Gentner|1983}}) or historical studies ({{Cite|Gooding|1990}}; {{Cite|Nersessian|2008}}), particularly those in which student models change to reflect the function of a phenomena instead of extraneous features ({{Cite|Lehrer, Carpenter, Schauble, &amp;amp; Putz|2000}}; {{Cite|Penner, Giles, Lehrer, &amp;amp; Schauble|1997}}). Other models attempt to recreate an environment on a smaller scale ({{Cite|Lehrer, Schauble, &amp;amp; Lucas|2008}}). Modeling often includes both individual and collective student work, with attempts to associate models to inquiry in the context of experience, centering epistemology in practice ({{Cite|Sandoval|2005}}).&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1160&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: added summary through science as logic</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1160&amp;oldid=prev"/>
		<updated>2013-11-13T04:52:30Z</updated>

		<summary type="html">&lt;p&gt;added summary through science as logic&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 04:52, 13 November 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Title|Designing to Develop Disciplinary Dispositions: Modeling Natural Systems}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Title|Designing to Develop Disciplinary Dispositions: Modeling Natural Systems}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;__NOTOC__&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The article &amp;#039;&amp;#039;Designing to Develop Disciplinary Dispositions: Modeling Natural Systems&amp;#039;&amp;#039; was written by [[Richard Lehrer]] and published in &amp;#039;&amp;#039;[[American Psychologist]]&amp;#039;&amp;#039; in 2009. The article is available from PubMed at http://www.ncbi.nlm.nih.gov/pubmed/19899886.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The article &amp;#039;&amp;#039;Designing to Develop Disciplinary Dispositions: Modeling Natural Systems&amp;#039;&amp;#039; was written by [[Richard Lehrer]] and published in &amp;#039;&amp;#039;[[American Psychologist]]&amp;#039;&amp;#039; in 2009. The article is available from PubMed at http://www.ncbi.nlm.nih.gov/pubmed/19899886.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l51&quot;&gt;Line 51:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 51:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Designing a Science Education ===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Designing a Science Education ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Lehrer describes a design for science education that attempts to base children&#039;s education &quot;in the invention and revision of models&quot; (p. 763) of natural systems. This work includes design at two levels: the level of the student, and the level of the teacher who engages students in modeling. To define modeling, Lehrer differentiates between &#039;&#039;science as logic&#039;&#039; and &#039;&#039;science of modeling&#039;&#039; ([[Lehrer &amp;amp; Schauble (2006) scientific|Lehrer &amp;amp; Schauble, 2006b]]), where science as logic reflects a more traditional view such as [[Inhelder &amp;amp; Piaget (1958)|Inhelder &amp;amp; Piaget&#039;s (1958)]] description of science as skills and heuristics for hypothetical-deductive reasoning. Rooted in logical positivism ({{Cite|Carnap|1967}}; {{Cite|Hempel|1952}}; {{Cite|Mach|1898/1942}}), this logical view of science is believed to be generalizable ({{Cite|Schunn &amp;amp; Anderson|1999}}) and is recommended by some to be taught via direct instruction ({{Cite|Klahr &amp;amp; Nigam|2004}}) or in experiments focused on maintaining control of variables ({{Cite|Dean &amp;amp; Kuhn|2007}}).&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l56&quot;&gt;Line 56:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 58:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Mendeley: http://www.mendeley.com/research/designing-develop-disciplinary-dispositions-modeling-natural-systems/&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Mendeley: http://www.mendeley.com/research/designing-develop-disciplinary-dispositions-modeling-natural-systems/&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=== &lt;/del&gt;APA &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;;&lt;/ins&gt;APA&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;Lehrer, R. (2009). Designing to develop disciplinary dispositions: Modeling natural systems. &#039;&#039;American Psychologist&#039;&#039;, 64(8), 759–71. doi:10.1037/0003-066X.64.8.759&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Lehrer, R. (2009). Designing to develop disciplinary dispositions: Modeling natural systems. &#039;&#039;American Psychologist&#039;&#039;, 64(8), 759–71. doi:10.1037/0003-066X.64.8.759&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;;&lt;/ins&gt;BibTeX&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=== &lt;/del&gt;BibTeX &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;pre&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;pre&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;@article{Lehrer2009,&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;@article{Lehrer2009,&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
	<entry>
		<id>https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1159&amp;oldid=prev</id>
		<title>imported&gt;Raymond Johnson: /* Summary */</title>
		<link rel="alternate" type="text/html" href="https://mathed.net/w/index.php?title=Lehrer_(2009)&amp;diff=1159&amp;oldid=prev"/>
		<updated>2013-11-13T03:38:53Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Summary&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 03:38, 13 November 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l45&quot;&gt;Line 45:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 45:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;;Identity&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;;Identity&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: [[Gee (1999)]] argued that learning goes beyond content and performance to include &amp;quot;a particular type of who (identity) engaged in a particular type of what (activity)&amp;quot; ([[Gee (1999)|Gee, 1999, p. 18]]). The design of learning environments should consider what it means to participate in the discipline ({{Cite|Gresalfi|2009}}) and how to author disciplinary knowledge ({{Cite|Lehrer|1993}}).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: [[Gee (1999)]] argued that learning goes beyond content and performance to include &amp;quot;a particular type of who (identity) engaged in a particular type of what (activity)&amp;quot; ([[Gee (1999)|Gee, 1999, p. 18]]). The design of learning environments should consider what it means to participate in the discipline ({{Cite|Gresalfi|2009}}) and how to author disciplinary knowledge ({{Cite|Lehrer|1993}}).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Using their [[pedagogical content knowledge]] ({{Cite|Shulman|1987}}), teachers can use the above elements to coordinate the relationship between disciplines and learners (e.g., {{Cite|Lampert|2001}}; {{Cite|Seymour &amp;amp; Lehrer|2006}}). In some disciplines, such as math ({{Cite|Hill, Rowan, &amp;amp; Ball|2005}}) and science ({{Cite|Hammer &amp;amp; van Zee|2006}}), pedagogical content knowledge is specialized to the discipline, and an increasing focus is given to the facilitation of disciplinary arguments ({{Cite|Forman, Larreamendy-Joerns, Stein, &amp;amp; Brown|1998}}; {{Cite|Staples|2007}}) and the value of student responses in that facilitation ({{Cite|O&#039;Connor &amp;amp; Michaels|1996}}).&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Design experiments (or design studies) are a combination of intervention and investigation coordinated to research development and learning ({{Cite|Brown|1992}}; {{Cite|Collins|1992}}). Design experiments take an engineering approach &quot;in which there is a serious epistemic analysis of the grounds for knowing in a discipline, along with development of possible genetic pathways for incubating the formation of these ways of knowing&quot; (p. 762). The usefulness of design experiments is debatable ({{Cite|Sloane &amp;amp; Gorard|2003}}), but, done well, they can yield information about how the development of knowledge interacts with elements used in design. Instead of being driven by grand theories of learning, design experiments are generally driven by choices made by the designer over multiple iterations of a design cycle, where knowledge gained from one cycle informs the design choices made in the next cycle.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=== Designing a Science Education ===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Raymond Johnson</name></author>
	</entry>
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