The Concrete-Pictorial-Abstract (CPA) approach at the heart of Primary Mathematics gently guides students from hands-on exploration to deeper understanding. This method begins with hands-on exploration using manipulatives, allowing students to physically engage with the math and build foundational understanding. From there, they move into the pictorial phase, where tools like bar models and number bonds help them visualize and organize their thinking. Only after these stages do students transition to abstract symbols and algorithms, ensuring they reach this level with the confidence and comprehension to make sense of it.
This structure offers students multiple tools to access problems and removes the fear of the unknown. “When we're using the CPA approach in our classroom and we're thinking about math anxiety... it's allowing our students to start from the most basic components and move to the most challenging instead of hitting them with the hardest problem,” says Kaminski.
Additionally, research consistently shows that students learn math most effectively through the CPA approach. This method begins with hands-on exploration using manipulatives, allowing students to physically engage with the math and build foundational understanding. From there, they move into the pictorial phase, where tools like bar models and number bonds help them visualize and organize their thinking. Only after these stages do students transition to abstract symbols and algorithms, ensuring they reach this level with the confidence and comprehension to make sense of it. As a result, the CPA approach helps to reduce math anxiety for students of all levels.