Concrete, Representational, Abstract (CRA): A Powerful Strategy for Building Mathematical Understanding
When students struggle in mathematics, it's often because they've been asked to work with abstract symbols before developing a conceptual understanding of what those symbols represent. One instructional framework that can help bridge this gap is the Concrete, Representational, Abstract (CRA) approach . CRA is an evidence-based teaching strategy that moves students from hands-on experiences to visual representations and finally to symbolic notation. The goal is not simply memorization, but deep mathematical understanding. Research suggests that moving between concrete materials, visual models, and abstract symbols helps students build stronger mental representations of mathematical concepts. What is the CRA Approach? CRA stands for: Concrete Students manipulate physical objects. Representational Students create drawings, models, or pictures. Abstract Students solve problems using numbers and symbols. Many teachers think CRA is a strict sequence: Concrete → Repres...