A Learning Progression for Geometric Transformations

Abstract

In this paper, a learning progression for geometric transformations is developed based on research that demonstrates the importance of viewing transformations as functions of the plane. The 5 levels of the progression reflect a student's evolving understanding of transformations as functions and their evolving understanding of the domain of these transformation as functions. The learning progression developed here is designed to be in alignment with the Common Core State Standards in Mathematics (CCSSM), in that a student who is placed at a particular level in the learning progression would have mastered the Common Core standards at the corresponding grade level. The description of the learning progression also includes sample tasks at each level that are intended to target that level of the progression.