Abstract

This research aims at describing metaphorical thinking of students with varying personality types in solving algebra problems. The subjects of this study consist of two students of the same sex and equal mathematical abilities namely female students with guardian personality type and artisan personality type based on Keirsey personality type. Data collection methods used are problem solving task and task-based interview. The results show that metaphorical thinking of two subjects differ mainly in the component connect. In connect component, the guardian student is connects the problem given with the weekly savings process, while the artisan student connects with the farmer's hat and process of making a ladder. In relate component both students find common ideas between the problem given and the ideas they have. In explore component, the guardian student describes the similarity of ideas between the problem given with the weekly savings process and makes a model, while the artisan student describes the similarity of ideas with process of making a ladder using pictures and curves. In analyze component, the two students re-explain the previous steps that have been taken. Then in transform component, the two students change the model of their ideas. Whereas in experience component, both students do not apply the results obtained to solve the problems in new context.

Highlights

  • Algebra is one of the fields given to junior high school students

  • Based on some of the descriptions above, the purpose of this study is to describe the metaphorical thinking of students with different sensing personality types in solving algebra problems

  • This research aims to describe the metaphorical thinking of students with different sensing personality types in solving algebraic problems related to material number patterns

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Summary

Introduction

Algebra is one of the fields given to junior high school students. Based on Permendikbud Number 21 and 24 of 2016, algebra material began to be approved at the junior high school grade VII semester 1. Algebra is a symbolic language used to express ideas in many branches of mathematics (Tabak, 2011: 68) This is in line with Watson (2007: 3) which states that algebra is an individual way to express generalizations about numbers, equations, relations, and functions by using symbols (usually consisting of letters or variables) as a simplification and help of problem aids. While Wilson et al (Bhat, 2014: 685) suggested that problem-solving has a special role in learning mathematics with the main goal of teaching mathematics and learning mathematics to develop the ability to solve various complex problems This is in line with NCTM (2000) which sets five standard processes in mathematics, namely problem solving, reasoning and proof, communication, connections, and representations. Make it clear that problem-solving is one of the important priorities in mathematics

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