Multi-representation raised by prospective teachers in expressing algebra

Abstract

This research investigated types of multi-representations raised by prospective teachers in expressing algebra. This study used a qualitative approach with case study methods. As many as 112 prospective mathematics education teachers from Universitas Negeri Malang of Indonesia participated. Researchers used Algebra Task Sheet and Interview Guide Sheet as data collection tools. Then an analysis is carried out so that the following categories are obtained: subjects that symbolically express algebra, pictorial, and geometric. The results obtained showed that 74% of subjects expressed symbolically algebra, while 15% of subjects expressed pictorially, and 11% of subjects expressed geometrically. The research findings showed that there are three forms of representation raised by the subject in expressing algebra, namely the representation of algebraic symbols, image representations, and geometric representations. Most of the participants produced algebraic symbolic representations and some of them experienced obstacles in producing pictorial representations and geometric representations, also researcher found similar patterns in producing geometric representation namely, perception, appearance, strategy, and re-examination. Researchers recommend geometric representations for further research because they tend to be done by subjects with high mathematical abilities and rarely found research that produces geometrical representations when solving algebraic problems.

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