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Talking Generally or Generally Talking in an Algebra Classroom

Karen Koellner, Mary Pittman, Jeffrey Frykholm 

December 2008, Volume 14, Issue 5, Page 304

Abstract:
The ways in which four eighth-grade girls, each with varying levels of algebraic understanding, share ideas, debate, and gradually move toward generalizations inherent in the “Painted Cube” problem. The intent of this article is to examine how students move to progressive formalization and to provide insights into the ways that teachers can foster similar processes among their students.

Keywords:
Article
Cross-Content (Math Only) Connections
Algebraic Patterns
Communication
Conceptual Development
Grades 6-8
Open-ended assessments
Teacher
Problems
Problem Solving / Problem Posing
Reasoning and Proof
Representation