Students' imitative and creative reasoning ability in solving geometry problems

Abstract

This research aims to analyse students' imitative and creative reasoning in solving geometry problems. The reasoning is essential for students. The reasoning in the context of learning mathematics is needed to understand mathematical concepts, build a mathematical idea and provide evidence of the truth of the idea. The reasoning divided into imitative and creative. Indicators of creative reasoning consist of creativity, anchoring, and plausibility. The method of this research was qualitative descriptive research. The subjects in this research were thirty-four students in ninth grade around fourteen to fifteen years old who have studied about cube and cuboid. Data collection was done by tests and interviews. The results of the data analysis show how students solve geometry problems using imitative and creative reasoning. The student answers are categorized into three groups, student answers by imitative and creative reasoning, student answers by imitative without creative reasoning, and the last student answers by creative without imitative reasoning.