# Patterns, Relations and Functions

## Using Schemas to Develop Algebraic Thinking

This article describes how students generalize and formalize patterns using student developed schemas including subtracting out and building up. The article includes samples of student work including students explanations for each schema. This article could supplement readings from section II and IV.

## How Students Learn: Mathematics in the Classroom

How Students learn uses the principles and findings from How People Learn within the context of the mathematics classroom. An introduction to the principles as they apply to mathematics is included in chapter 2, whole numbers at the elementary level is the focus of chapter 3, rational numbers at the middle level is the focus of chapter 4 and chapter 5 focuses on functions at the high school level. This would be an additional reference to sections II, III and IV.

## Building a Foundation for Learning Algebra in the Elementary Grades

The research summarized in this Volume of In Brief focuses on the ability of elementary students to reason algebraically. The articles can be used with CTS Section IV.

## Algebra In Simplest Terms

Video instructional series consisting of 26 programs designed to be used by students or as a review of content matter for teachers. Illustrations and examples are used to solve real-world problems. This series could be used to supplement the readings from section I.