# Developing Algebraic Thinking in the Context of Arithmetic

• Susan Jo Russell
• Deborah Schifter
• Virginia Bastable
Chapter
Part of the Advances in Mathematics Education book series (AME)

## Abstract

Using classroom episodes from grades 2–6, this chapter highlights four mathematical activities that underlie arithmetic and algebra and, therefore, provide a bridge between them. These are:
• understanding the behavior of the operations,

• generalizing and justifying,

• extending the number system, and

• using notation with meaning.

Analysis of each episode provides insight into how teachers recognize the opportunities to pursue this content in the context of arithmetic and how such study both strengthens students’ understanding of arithmetic operations and enables them to develop ideas foundational to the study of algebra.

## Keywords

Number Line Number System Distributive Property Negative Number Mathematical Activity
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Authors and Affiliations

• Susan Jo Russell
• 1
Email author
• Deborah Schifter
• 2
• Virginia Bastable
• 3
1. 1.Education Research CollaborativeTERCCambridgeUSA
2. 2.Education Development CenterNewtonUSA
3. 3.SummerMath for TeachersMount Holyoke CollegeSouth HadleyUSA