Mathematical Thinking and Learning, Volume 9, Issue 3 (2007)

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Mathematical Thinking and Learning, Volume 9, Issue 3 (2007)

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Supporting the Transition from Arithmetic to Algebraic Reasoning

INTROUDCTION

Article
A Framework for Understanding and Cultivating the Transition from Arithmetic to Algebraic Reasoning
Mitchell J. Nathan & Karen Koellner
Pages: 179-192
Published online: 05 Dec 2007
First Page PreviewforA Framework for Understanding and Cultivating the Transition from Arithmetic to Algebraic Reasoning | Full Text | References | PDF (411.1 KB)
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Original Articles

Article
Pattern Generalization with Graphs and Words: A Cross-Sectional and Longitudinal Analysis of Middle School Students' Representational Fluency
Mitchell J. Nathan & Sunae Kim
Pages: 193-219
Published online: 05 Dec 2007
AbstractforPattern Generalization with Graphs and Words: A Cross-Sectional and Longitudinal Analysis of Middle School Students' Representational Fluency | Full Text | References | PDF (1.2 MB)
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Article
A Longitudinal Examination of Middle School Students' Understanding of the Equal Sign and Equivalent Equations
Martha W. Alibali, Eric J. Knuth, Shanta Hattikudur, Nicole M. McNeil & Ana C. Stephens
Pages: 221-247
Published online: 05 Dec 2007
AbstractforA Longitudinal Examination of Middle School Students' Understanding of the Equal Sign and Equivalent Equations | Full Text | References | PDF (32.5 MB)
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Article
Middle School Mathematics Teachers' Knowledge of Students' Understanding of Core Algebraic Concepts: Equal Sign and Variable
Pamela Asquith, Ana C. Stephens, Eric J. Knuth & Martha W. Alibali
Pages: 249-272
Published online: 05 Dec 2007
AbstractforMiddle School Mathematics Teachers' Knowledge of Students' Understanding of Core Algebraic Concepts: Equal Sign and Variable | Full Text | References | PDF (276.8 KB)
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Article
The Problem-Solving Cycle: A Model to Support the Development of Teachers' Professional Knowledge
Karen Koellner, Jennifer Jacobs, Hilda Borko, Craig Schneider, Mary E. Pittman, Eric Eiteljorg, Kim Bunning & Jeffrey Frykholm
Pages: 273-303
Published online: 05 Dec 2007
AbstractforThe Problem-Solving Cycle: A Model to Support the Development of Teachers' Professional Knowledge | Full Text | References | PDF (702.1 KB)
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Article
Using Contrasting Case Activities to Deepen Teacher Understanding of Algebraic Thinking and Teaching
Sharon J. Derry, Margaret J. Wilsman & Alan J. Hackbarth
Pages: 305-329
Published online: 05 Dec 2007
AbstractforUsing Contrasting Case Activities to Deepen Teacher Understanding of Algebraic Thinking and Teaching | Full Text | References | PDF (708.2 KB)
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