CRA - Concrete Representational Abstract

CRA is a three-stage learning process that helps students develop a deep understanding of mathematical concepts:

1. Concrete: Students use physical objects to model and solve problems.
2. Representational: Students draw pictures or use diagrams to represent mathematical ideas.
3. Abstract: Students work with numbers and symbols to solve problems.

By using the CRA approach, our students:

• Develop a strong conceptual understanding of mathematics
• Build confidence in their problem-solving abilities
• Learn to think flexibly about mathematical concepts
• Improve their mathematical communication skills

Our teachers use a variety of strategies to incorporate CRA into their lessons:

• Hands-on activities: Students use manipulatives like base-ten blocks, fraction tiles, and geometric shapes to explore mathematical concepts.
• Visual representations: Teachers guide students in creating drawings, diagrams, and charts to represent mathematical ideas.
• Abstract problem-solving: As students gain confidence, they progress to working with numbers, symbols and mathematical notation to solve more complex problems.

To ensure all students benefit from the CRA approach, we:

• Provide multiple opportunities for practice and demonstration
• Differentiate instruction based on individual student needs
• Use open-ended tasks to promote integrated thinking skills
• Encourage mathematical communication among students

By adopting CRA, we create a supportive and engaging math learning environment that allows our students to develop a strong foundation in mathematics, ultimately leading to academic achievement and success.

To support the concrete stage of learning, each student has access to a personal math tool kit containing various manipulatives. These kits are used during instruction, practice, and independent work to reinforce concepts and deepen understanding.

At Saint David's Parish School, we believe that the CRA approach helps our students build a solid mathematical foundation that will serve them well throughout their academic careers and beyond.