Early Algebraization pp 215-238 | Cite as

# Algebra in the Middle School: Developing Functional Relationships Through Quantitative Reasoning

## Abstract

Understanding function is a critical aspect of algebraic reasoning, and building functional relationships is an activity encouraged in the younger grades to foster students’ relational thinking. One way to foster functional thinking is to leverage the power of students’ capabilities to reason with quantities and their relationships. This paper explicates the ways in which reasoning directly with quantities can support middle-school students’ understanding of linear and quadratic functions. It explores how building quantitative relationships can support an initial function understanding from a covariation perspective, and later serve as a foundation to build a more flexible view of function that includes the correspondence perspective.

## Keywords

Middle School Functional Relationship Function Concept Gear Ratio Gear Pair## Preview

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