**Math Concrete Representational Abstract**. Concrete representational abstract (cra) is a three step instructional approach that has been found to be highly effective in teaching math concepts. Often referred to as the concrete, representational, abstract framework, cpa was developed by.

Building fluency from conceptual understanding. It consists of three phases: Having students represent their concrete understandings (representational) by drawing simple pictures that replicate or mimic their use of concrete materials provide students a supported process for transferring their concrete understandings to the abstract level.

### By Kathryn Garforth, Graduate Student, Faculty Of Education, University Of British Columbia And Linda Siegel, Phd, University Of British Columbia.

Concrete representational abstract (cra) is a three step instructional approach that has been found to be highly effective in teaching math concepts. Each stage builds on to the previous stage and therefore must be taught in sequence. Concrete, pictorial, abstract (cpa) is a highly effective approach to teaching that develops a deep and sustainable understanding of maths in pupils.

### The First Step Is Called The Concrete Stage.

Robert berry iii and kateri thunder. Concrete representational abstract (cra) is a three step instructional approach that has been found to be highly effective in teaching math concepts. Concrete objects to model problems.

### It Is Known As The “Seeing” Stage And Involves Using Images To Represent Objects To Solve A Math Problem.

There is something basically true about the sequence of first concrete, then representation, then abstract. This instructional approach to differentiating instruction in math involves a sequence of instruction (maccini, mulcahy, & wilson, 2007; Cra is an intervention for mathematics instruction that research suggests can enhance the mathematics performance of students in a classroom.

### The Concrete Representational Abstract Approach To Teaching Mathematics Has A Very Long History.

It is known as the doing stage and involves physically manipulating objects to. Symbols, numbers, and notation are loaded with meaning in math. If students jump to the abstract level before having the concrete and representational experiences there can be a breakdown in understanding.

### Building Fluency From Conceptual Understanding.

During the concrete phase of instruction, the students use concrete materials to explore the. It is known as the doing stage and involves physically manipulating objects to solve a math problem. This process becomes progressively more abstract as we work.