Developing Algebraic Thinking in the Context of Arithmetic
Part of the Advances in Mathematics Education book series (AME)
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:
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.
understanding the behavior of the operations,
generalizing and justifying,
extending the number system, and
using notation with meaning.
KeywordsNumber 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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