The Effectiveness of Concrete Representational Abstract Approach (CRA) Approach and Problem Solving Approach on Mathematical Representation Ability at Elementary School

Abstract

The selection of the wrong approach will be able to make the effectiveness of the learning decrease, so the need for attention to the approach used by the teacher in his learning. If the approach adopted is not appropriate, there will be a form of boredom from students and tend to ignore the lessons given that ultimately the results obtained are less in line with expectations. The Concrete Representational Abstract we approach systematically and explicitly teaches students through three stages of learning: 1) concrete, 2) representation and 3) abstract. Teaching with CRA is a three-stage learning process in which students solve problems through the through concrete object manipulation followed by learning through pictorial representation of
concrete object manipulations, ending with solving mathematical problems through abstract notation. Problem-solving approach, which is one of the learning approaches that can be applied in the learning process of mathematics. Many authors have attempted to explain what is the problem- solving approach for teaching mathematics. Ability of mathematical representation of students who get learning with CRA approach
better than students who get learning conventional approach and to know the ability of mathematical representation of students who obtained learning with problem -solving approach better than students who obtained learning of conventional approach can be shown from the calculation of post-ANOVA test with Scheffe ’method and t-test.

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