Teaching Quadratic Functions Using Realistic Mathematics Education

Abstract

This curriculum project offers a sequence of four lessons for teaching quadratic functions in an Algebra I classroom. The lessons make use of the Realistic Mathematics Education (RME) teaching model. The RME model suggests that students should be introduced to mathematical concepts within realistic contexts and given time to explore, observe, discuss, and inquire about a concept to build understanding before gradually learning the abstract definitions and details. This represents a reversal of traditional teaching methods where students learn the abstract information first, then apply it to realistic concepts. RME has been shown to increase mathematical performance, elicit multiple pathways of student thinking, and improve engagement and overall enjoyment of mathematics. The lessons provided in this curriculum project progress through the key topics learned in a quadratic functions unit. Each new topic is anchored to a visualization presented in the first lesson of a ball being tossed into the air. All materials, activities, notes, and assignments are included, and answer keys can be found in the Appendix.