Difference between pages "Arbaugh & Brown (2005)" and "Boston & Smith (2011)"

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{{Title|Analyzing Mathematical Tasks: A Catalyst for Change?}}
{{Title|A 'Task-Centric Approach' to Professional Development: Enhancing and Sustaining Mathematics Teachers' Ability to Implement Cognitively Challenging Mathematical Tasks}}
__NOTOC__
__NOTOC__
* Authors: [[Fran Arbaugh]] and [[Catherine Brown]]
* Authors: [[Melissa Boston]] and [[Margaret Smith]]
* Journal: [[Journal of Mathematics Teacher Education]]
* Journal: [[ZDM]]
* Year: 2005
* Year: 2011
* Source: http://link.springer.com/article/10.1007/s10857-006-6585-3
* Source: http://link.springer.com/article/10.1007/s11858-011-0353-2


==Abstract==
==Abstract==
In this study we investigate a strategy for engaging high school mathematics teachers in an initial examination of their teaching in a way that is non-threatening and at the same time effectively supports the development of teachers' pedagogical content knowledge [Shulman (1986). Educational Researcher, 15(2), 4–14]. Based on the work undertaken by the QUASAR project with middle school mathematics teachers, we engaged a group of seven high school mathematics teachers in learning about the Levels of Cognitive Demand, a set of criteria that can be used to examine mathematical tasks critically. Using qualitative methods of data collection and analysis, we sought to understand how focusing the teachers on critically examining mathematical tasks influenced their thinking about the nature of mathematical tasks as well as their choice of tasks to use in their classrooms. Our research indicates that the teachers showed growth in the ways that they consider tasks, and that some of the teachers changed their patterns of task choice. Further, this study provides a new research instrument for measuring teachers' growth in pedagogical content knowledge.
In this article, we describe a task-centric approach to professional development for mathematics teachers in which teachers' learning experiences are focused on the selection and implementation of cognitively challenging mathematical tasks. We examined teachers' selection and implementation of cognitively challenging tasks at three points in time: before and after their participation in the professional development initiative and during a follow-up data collection 2 years later. Data included instructional tasks, samples of student work, and classroom observations, and were compared between the time points to identify changes in teachers' task selection and implementation and to determine whether these changes were sustained over time. Results indicate that teachers increased and sustained their ability to select high-level instructional tasks and to maintain the level of cognitive demand during instruction. All teachers, however, did not exhibit this pattern. Portraits of teachers who continued to select and enact tasks at a high level are contrasted with those who did not, and factors are identified to account for teachers' current practices.


==Outline of Headings==
==Outline of Headings==
* Introduction
* Introduction
** Teacher Change
* Background
** The Importance of Mathematical Tasks in Learning
* Context
** Levels of Cognitive Demand
* Methods
* The Professional Development Experience
** Instructional tasks
** Study Group Activities Involving the LCD Criteria
** Class sets of student work
* The Study
** Observations
** Data Collection and Analysis
** Coding
** Analysis of Audio-Taped Interviews
** Analysis
** Analysis of Teacher-Generated Interview Artifacts
* Results
** Analysis of Tasks Used in Teachers' Classrooms
** Changes in teachers' task selection and implementation
** Analysis of Study Group Meeting Audio Tapes
** Patterns of change
* Influences of Learning to Analyze Mathematical Tasks
*** Nellie
** The Interview Task-Sorts
*** Mary
** Initial Interview Task-Sorts (Initial Sorts 1 and 2)
*** Bonnie
** Final Interview Task-Sorts (Final Sorts 1 and 2)
*** Annette
** Comparing the Initial and Final Interview Task-Sorts
** Two Weeks Worth of Assignments
* Discussion
* Discussion
** Promoting gradual, sustained change
** Factors contributing to sustained improvements
** Nature of verbal contributions
** Mentoring a preservice teacher
* Conclusion
* Conclusion


==Cite==
==Cite==
;APA
;APA
: Arbaugh, F., & Brown, C. A. (2005). Analyzing mathematical tasks: A catalyst for change? ''Journal of Mathematics Teacher Education'', 8(6), 499–536. doi:10.1007/s10857-006-6585-3
: Boston, M. D., & Smith, M. S. (2011). A "task-centric approach" to professional development: Enhancing and sustaining mathematics teachers' ability to implement cognitively challenging mathematical tasks. ''ZDM'', 43(6-7), 965–977. doi:10.1007/s11858-011-0353-2
;BibTeX
;BibTeX
<pre>
<pre>
@article{Arbaugh2005,
@article{Boston2011,
author = {Arbaugh, Fran and Brown, Catherine A.},
author = {Boston, Melissa D. and Smith, Margaret S.},
doi = {10.1007/s10857-006-6585-3},
doi = {10.1007/s11858-011-0353-2},
journal = {Journal of Mathematics Teacher Education},
journal = {ZDM},
keywords = {High school mathematics teachers,Mathematics teacher education,Professional development,Secondary mathematics teachers,Teacher education},
number = {6-7},
number = {6},
pages = {965--977},
pages = {499--536},
title = {{A 'task-centric approach' to professional development: Enhancing and sustaining mathematics teachers' ability to implement cognitively challenging mathematical tasks}},
title = {{Analyzing mathematical tasks: A catalyst for change?}},
url = {http://link.springer.com/article/10.1007/s11858-011-0353-2},
url = {http://link.springer.com/article/10.1007/s10857-006-6585-3},
volume = {43},
volume = {8},
year = {2011}
year = {2005}
}
}
</pre>
</pre>


[[Category:Journal Articles]]
[[Category:Journal Articles]]
[[Category:Journal of Mathematics Teacher Education]]
[[Category:ZDM]]
[[Category:2005]]
[[Category:2011]]
[[Category:Curriculum Use]]
[[Category:Professional Development]]
[[Category:Professional Development]]
[[Category:Curriculum Use]]

Latest revision as of 20:31, 29 May 2021

A 'Task-Centric Approach' to Professional Development: Enhancing and Sustaining Mathematics Teachers' Ability to Implement Cognitively Challenging Mathematical Tasks

Abstract

In this article, we describe a task-centric approach to professional development for mathematics teachers in which teachers' learning experiences are focused on the selection and implementation of cognitively challenging mathematical tasks. We examined teachers' selection and implementation of cognitively challenging tasks at three points in time: before and after their participation in the professional development initiative and during a follow-up data collection 2 years later. Data included instructional tasks, samples of student work, and classroom observations, and were compared between the time points to identify changes in teachers' task selection and implementation and to determine whether these changes were sustained over time. Results indicate that teachers increased and sustained their ability to select high-level instructional tasks and to maintain the level of cognitive demand during instruction. All teachers, however, did not exhibit this pattern. Portraits of teachers who continued to select and enact tasks at a high level are contrasted with those who did not, and factors are identified to account for teachers' current practices.

Outline of Headings

  • Introduction
  • Background
  • Context
  • Methods
    • Instructional tasks
    • Class sets of student work
    • Observations
    • Coding
    • Analysis
  • Results
    • Changes in teachers' task selection and implementation
    • Patterns of change
      • Nellie
      • Mary
      • Bonnie
      • Annette
  • Discussion
    • Promoting gradual, sustained change
    • Factors contributing to sustained improvements
    • Nature of verbal contributions
    • Mentoring a preservice teacher
  • Conclusion

Cite

APA
Boston, M. D., & Smith, M. S. (2011). A "task-centric approach" to professional development: Enhancing and sustaining mathematics teachers' ability to implement cognitively challenging mathematical tasks. ZDM, 43(6-7), 965–977. doi:10.1007/s11858-011-0353-2
BibTeX
@article{Boston2011,
author = {Boston, Melissa D. and Smith, Margaret S.},
doi = {10.1007/s11858-011-0353-2},
journal = {ZDM},
number = {6-7},
pages = {965--977},
title = {{A 'task-centric approach' to professional development: Enhancing and sustaining mathematics teachers' ability to implement cognitively challenging mathematical tasks}},
url = {http://link.springer.com/article/10.1007/s11858-011-0353-2},
volume = {43},
year = {2011}
}