Kontruksi Konsep Barisan Aritmatika dan Geometri Bagi Siswa SMA Berdasarkan Teori APOS

Abstract

Concepts in mathematics are interrelated with each other, so students need to understand the basic concepts of mathematics in depth. Understanding mathematical concepts is more meaningful if it is constructed by the students themselves. The construction of mathematical concepts is an active activity carried out to obtain or build a concept in mathematics. This study uses the APOS theory as a framework because this theory can describe how a child's mental activities are in the form of actions, processes, objects and schemas when constructing mathematical concepts. The purpose of this study was to describe the construction of arithmetic and geometric sequence concepts for high school students based on APOS theory. The subjects in this study were 6 students at SMA Citra Islami. The research method used is a case study method with the APOS Research Cycle approach. The data analysis technique was carried out qualitatively through 3 stages, namely: data reduction, data presentation, and drawing conclusions. The results showed that students went through four stages of mental mechanisms, namely: interiorization (action stage to process stage), encapsulation (process stage to object stage), coordination (process stage to process stage) and de-encapsulation (object stage to process stage).