Geometric Thinking Profile in Problem Solving Based on SOLO Plus Taxonomy

Abstract

The purpose of this study is to describe geometric thinking based on the SOLO Plus taxonomy. This research used qualitative method which involved 34 students of the mathematics education study program. Data collection is done by tests and interviews. Data analysis is done by triangulation which, includes data reduction, data presentation, and conclusion drawing. The results showed that subjects with high and moderate mathematical abilities were included in the Van Hiele category of geometric thinking analytically by connecting components and geometric properties that were interconnected. This analytical ability is categorized as multistructural by identifying information that is considered useful and has a relationship with the problem solving process. In ordering-multistructural geometric thinking, it is done by sorting and connecting properties accompanied by informal arguments. Deduction-semirelational geometric thinking is done by analyzing and explaining the relationships between shapes and being able to prove theorems deductively, giving reasons with formal proof but not reaching the truth. Meanwhile, subjects with a low ability to think are said to think analytically geometrically by connecting components and geometric properties and in problem solving have multistructural responses. In ordering thinking, it is done by sorting and connecting the properties found previously and providing informal arguments. In the problem solving process included in the pre-structural category, they do not understand the problem and the information provided and do something that has nothing to do with the problem that is given.