Chapter 9: Algebraic and Geometric Representations of Perimeter with Algebra Blocks: Professional Development for Teachers of Latino English Language Learners

Algebra blocks are an effective tool for teaching prealgebraic and algebraic concepts (Leitze & Kitt, 2000). Typically, the blocks are used to provide concrete representations of the distributive property, factoring, and polynomial expressions using the area of a rectangle as the organizing principle. They provide access to concepts by way of the physical manipulation of algebraic symbols, thus reducing the need for abstraction while maintaining complex, generalized understanding. In essence, these blocks encourage a geometric interpretation of symbol manipulation, thereby enriching students’ connections between algebra and geometry. In addition, algebra blocks provide opportunities for students to engage in discourse that abstract symbols alone are unlikely to promote.