Difference between revisions of "Making Sense of Fractions, Ratios, and Proportions (2002 NCTM Yearbook)"
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<ol start="1"> | <ol start="1"> | ||
<li>Introduction by Judith Sowder</li> | <li>Introduction by [[Judith Sowder]]</li> | ||
<li>The Development of Students' Knowledge of Fractions and Ratios by John P. Smith III</li> | <li>The Development of Students' Knowledge of Fractions and Ratios by [[John Smith III|John P. Smith III]]</li> | ||
<li>Children's Development of Meaningful Fraction Algorithms: A Kid's Cookies and a Puppy's Pills by Janet M. Sharp, Joe Garofalo, and Barbara Adams</li> | <li>Children's Development of Meaningful Fraction Algorithms: A Kid's Cookies and a Puppy's Pills by Janet M. Sharp, Joe Garofalo, and Barbara Adams</li> | ||
<li>Organizing Diversity in Early Fraction Thinking by Susan B. Empson</li> | <li>Organizing Diversity in Early Fraction Thinking by [[Susan Empson|Susan B. Empson]]</li> | ||
<li>Using Manipulative Models to Build Number Sense for Addition and Fractions by Kathleen Cramer and Apryl Henry</li> | <li>Using Manipulative Models to Build Number Sense for Addition and Fractions by Kathleen Cramer and Apryl Henry</li> | ||
<li>Young Children's Growing Understanding of Fraction Ideas by Elena Steencken and Carolyn A. Maher</li> | <li>Young Children's Growing Understanding of Fraction Ideas by Elena Steencken and Carolyn A. Maher</li> | ||
<li>Go Ask Alice | <li>Go Ask Alice About Multiplication of Fractions by Susan B. Taber</li> | ||
<li>Examining Dimensions of Fraction Operation Sense by DeAnn Huinker</li> | <li>Examining Dimensions of Fraction Operation Sense by [[DeAnn Huinker]]</li> | ||
<li>Part-Whole Comparisons with Unitizing by Sue Lamon</li> | <li>Part-Whole Comparisons with Unitizing by [[Susan Lamon|Sue Lamon]]</li> | ||
<li>Butterflies and Caterpillars: Multiplicative and Proportional Reasoning in the Early Grades by Patricia Ann Kenney, Mary M. Lindquist, and Cristina L. Heffernan</li> | <li>Butterflies and Caterpillars: Multiplicative and Proportional Reasoning in the Early Grades by [[Patricia Kenney|Patricia Ann Kenney]], [[Mary Lindquist|Mary M. Lindquist]], and Cristina L. Heffernan</li> | ||
</ol> | </ol> | ||
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<li>Introduction by Teresa Yazujian</li> | <li>Introduction by Teresa Yazujian</li> | ||
<li>Percents and Proportion at the Center: Altering the Teaching Sequence for Rational Number by Joan Moss</li> | <li>Percents and Proportion at the Center: Altering the Teaching Sequence for Rational Number by Joan Moss</li> | ||
<li>Making Explicit What Students Know | <li>Making Explicit What Students Know About Representing Fractions by Barbara M. Moskal and Maria E. Magone</li> | ||
<li>Using Literature as a Vehicle to Explore Proportional Reasoning by Denisse R. Thompson, Richard A. Austin, and Charlene E. Beckmann</li> | <li>Using Literature as a Vehicle to Explore Proportional Reasoning by [[Denisse Thompson|Denisse R. Thompson]], Richard A. Austin, and Charlene E. Beckmann</li> | ||
<li>Proportional Reasoning: One Problem, Many Solutions! by Suzanne Levin Weinberg</li> | <li>Proportional Reasoning: One Problem, Many Solutions! by Suzanne Levin Weinberg</li> | ||
<li>Using Representational Contexts to Support Multiplicative Reasoning by Laura B. Kent, Joyce Arnosky, and Judy McMonagle</li> | <li>Using Representational Contexts to Support Multiplicative Reasoning by Laura B. Kent, Joyce Arnosky, and Judy McMonagle</li> | ||
<li>Fraction Division Interpretations by Rose Sinicrope, Harold W. Mick, and John R. Kolb</li> | <li>Fraction Division Interpretations by Rose Sinicrope, Harold W. Mick, and John R. Kolb</li> | ||
<li>Developing Understanding of Ratio and Measure as a Foundation for Slope by Joanne Lobato and Eva Thanheiser</li> | <li>Developing Understanding of Ratio and Measure as a Foundation for Slope by [[Joanne Lobato]] and [[Eva Thanheiser]]</li> | ||
<li>Using Technology to Teach Concepts of Speed by Janet Bowers, Susan Nickerson, and Garrett Kenehan</li> | <li>Using Technology to Teach Concepts of Speed by Janet Bowers, Susan Nickerson, and Garrett Kenehan</li> | ||
</ol> | </ol> | ||
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<ol start="20"> | <ol start="20"> | ||
<li>Introduction by David Duncan</li> | <li>Introduction by David Duncan</li> | ||
<li>Developing Students' Proportional Reasoning: A Chinese Perspective by Jinfa Cai and Wei Sun</li> | <li>Developing Students' Proportional Reasoning: A Chinese Perspective by [[Jinfa Cai]] and Wei Sun</li> | ||
<li>The Development of Rational Number Sense by Irene T. Miura and Jennifer M. Yamagishi</li> | <li>The Development of Rational Number Sense by Irene T. Miura and Jennifer M. Yamagishi</li> | ||
<li>Multiplicitave Reasoning: Developing Student's Shared Meanings by Christina Gomez</li> | <li>Multiplicitave Reasoning: Developing Student's Shared Meanings by Christina Gomez</li> | ||
<li>Fraction Instruction That Fosters Multiplicative Reasoning by Lee Vanhille and Arthur J. Baroody</li> | <li>Fraction Instruction That Fosters Multiplicative Reasoning by Lee Vanhille and [[Arthur Baroody|Arthur J. Baroody]]</li> | ||
<li>Profound Undersanding of Division of Fractions by Alfinio Flores</li> | <li>Profound Undersanding of Division of Fractions by [[Alfinio Flores]]</li> | ||
<li>Connecting Informal Thinking and Algorithms: The Case of Division of Fractions by Daniel Siebert</li> | <li>Connecting Informal Thinking and Algorithms: The Case of Division of Fractions by Daniel Siebert</li> | ||
</ol> | </ol> | ||
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=== APA 7 === | === APA 7 === | ||
Litwiller, B. & Bright, G. (Eds.). (2002). ''Making sense of fractions, ratios, and proportions''. National Council of Teachers of Mathematics. | Litwiller, B., & Bright, G. (Eds.). (2002). ''Making sense of fractions, ratios, and proportions''. National Council of Teachers of Mathematics. | ||
[[Category:Edited Books]] | [[Category:Edited Books]] | ||
[[Category:2002]] | [[Category:2002]] | ||
Latest revision as of 19:06, 26 June 2021
Contents
Preface
Part 1: Elementary School
- Introduction by Judith Sowder
- The Development of Students' Knowledge of Fractions and Ratios by John P. Smith III
- Children's Development of Meaningful Fraction Algorithms: A Kid's Cookies and a Puppy's Pills by Janet M. Sharp, Joe Garofalo, and Barbara Adams
- Organizing Diversity in Early Fraction Thinking by Susan B. Empson
- Using Manipulative Models to Build Number Sense for Addition and Fractions by Kathleen Cramer and Apryl Henry
- Young Children's Growing Understanding of Fraction Ideas by Elena Steencken and Carolyn A. Maher
- Go Ask Alice About Multiplication of Fractions by Susan B. Taber
- Examining Dimensions of Fraction Operation Sense by DeAnn Huinker
- Part-Whole Comparisons with Unitizing by Sue Lamon
- Butterflies and Caterpillars: Multiplicative and Proportional Reasoning in the Early Grades by Patricia Ann Kenney, Mary M. Lindquist, and Cristina L. Heffernan
Classroom Challenges: Exploring Proportional Reasoning: Mr. Tall/Mr. Short; 3/5's Problem; The Part-Whole Relationship
Part 2: Middle School
- Introduction by Teresa Yazujian
- Percents and Proportion at the Center: Altering the Teaching Sequence for Rational Number by Joan Moss
- Making Explicit What Students Know About Representing Fractions by Barbara M. Moskal and Maria E. Magone
- Using Literature as a Vehicle to Explore Proportional Reasoning by Denisse R. Thompson, Richard A. Austin, and Charlene E. Beckmann
- Proportional Reasoning: One Problem, Many Solutions! by Suzanne Levin Weinberg
- Using Representational Contexts to Support Multiplicative Reasoning by Laura B. Kent, Joyce Arnosky, and Judy McMonagle
- Fraction Division Interpretations by Rose Sinicrope, Harold W. Mick, and John R. Kolb
- Developing Understanding of Ratio and Measure as a Foundation for Slope by Joanne Lobato and Eva Thanheiser
- Using Technology to Teach Concepts of Speed by Janet Bowers, Susan Nickerson, and Garrett Kenehan
Classroom Challenges: Number Patterns; Candy Bars and Lawns; Condo Problem
Part 3: Professional Development
- Introduction by David Duncan
- Developing Students' Proportional Reasoning: A Chinese Perspective by Jinfa Cai and Wei Sun
- The Development of Rational Number Sense by Irene T. Miura and Jennifer M. Yamagishi
- Multiplicitave Reasoning: Developing Student's Shared Meanings by Christina Gomez
- Fraction Instruction That Fosters Multiplicative Reasoning by Lee Vanhille and Arthur J. Baroody
- Profound Undersanding of Division of Fractions by Alfinio Flores
- Connecting Informal Thinking and Algorithms: The Case of Division of Fractions by Daniel Siebert
Classroom Challenges: Fraction Problem; Fraction Problem; A Fraction Activity
Cite
APA 7
Litwiller, B., & Bright, G. (Eds.). (2002). Making sense of fractions, ratios, and proportions. National Council of Teachers of Mathematics.