Abstract

Problem solving is a significant skill for students to resolve obstacles in their daily lives. To stimulate a problem solving among the variations of student’s characteristics, students are necessary to solve problem at a time. This study aims to investigate students’ skill to get over trigonometry problem in the perspective of cognitive style of field independent (FI) and field dependent (FD). A qualitative descriptive research is employed with a purposive sampling technique. The participants of this study consisted of students of Islamic High School (MA) and a student is taken from each type of cognitive style to be interviewed in which these students are able to know indicators of problem solving. Data were collected through test and interview. Data analysis technique was conducted using a model Miles and Huberman with three steps: data reduction, data presentation, and drawing a conclusion. The research findings showed there were a difference between students’ characteristics on each cognitive style to solve problem. Students with field independent (FI) cognitive style tended to be independent, able to identify with their own language, select a practical method, re-explain easily the process that has been done and have a good creativity. Meanwhile, students with field dependent (FD) cognitive style were likely to depend on teacher’s information, write step including completion and calculation in details, lack in ability to describe the process of accomplishment again, and be not able to provide an alternative solution.

Highlights

  • Mathematics is one of the subjects that is taught and studied at every level of school education, from elementary school to high school

  • This study aims to investigate students’ skill to get over trigonometry problem in the perspective of cognitive style of field independent (FI) and field dependent (FD)

  • Based on the results of the discussion that has been described, the results show that there are differences in the characteristics of students in each type of cognitive style in solving problems

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Summary

Introduction

Mathematics is one of the subjects that is taught and studied at every level of school education, from elementary school to high school. Learning mathematics is very important to develop problem solving skills in mathematics and in everyday life [3], [4]. Mathematical problem solving is the heart of mathematics learning, because skills are for learning, and emphasize the development of thinking skills methods [5]. Students apply their knowledge and problem-solving skills to be useful in everyday life. That today's students need problem solving skills, communication skills, mathematical thinking skills, mathematical propensity, as well as attitudes and self-confidence towards mathematics.[7], [8]

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