Internal process: what is abstraction and distortion process?

TL;DR

This study explores how elementary students perceive geometric shapes, focusing on their internal thinking processes involving abstraction and distortion when distinguishing between squares and parallelograms.

Contribution

It identifies two types of distortion and abstraction in students' internal thinking processes in geometry, providing insights into their conceptual difficulties.

Findings

Students use two types of distortion in their thinking.

Students employ two types of abstraction in their reasoning.

Understanding these processes can improve geometry education.

Abstract

Geometri is one of branch of the branch of mathematics that plays a major role in the development of science and technology. Thus, knowing the geometry concept is needed for students from their early basic level of thinking. A preliminary study showed that the elementary students have difficulty in perceiving parallelogram shape in a 2-dimension of a cube drawing as a square shape. This difficulty makes the students can not solve geometrical problems correctly. This problem is related to the internal thinking process in geometry. We conducted the exploration of students internal thinking processes in geometry particularly in distinguishing the square and parallelogram shape. How the students process their internal thinking through distortion and abstraction is the main aim of this study. Analysis of geometrical test and deep interview are used in this study to obtain the data, The result of this study is there are two types of distortion and abstraction respectively in which the student used in their internal thinking processes.