Construction of the fractional concept from the perspective of APOS theory

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Henry Kurniawan, Akbar Sutawidjaja, Abdur Rahman As'Ari, Makbul Muksar, Iwan Setiawan

2018 AIP Conference Proceedings Vol. 2014 Conference paper Cited by 2 Quartile

Abstract

Constructing fractional concepts in the eligible APOS theory when solving problems by students starts from the moment when students face the problem of fractions (there is a mental structure) by performing actions (actions) in the form of a symbolic object. Next, students will interpret the components of the problem in the mental structure (process). In addition, the components of the problem are coordinated between the components continuously and packaged (encapsulated) in objects to form meaningful insights. Knowledge is associated with the knowledge already held by students, formed Scheme in the student's mental structure. The construction of this fractional concept is carried out by 2 students selected from 10 students on the basis of the requirements of the APOS Theory phase. The results of this qualitative study describe two parts of the construction on the concept of fractions, namely the construction of fractional concepts as equal parts of the whole and the construction of the concept of fraction is worth where the two parts that represent the same fractions in the image on the problem to the presentation of different images of the problem. © 2018 Author(s).

Affiliations

Manajemen Informatika, Politeknik Negeri Lampung, Indonesia; Program of Mathematics Education, Universitas Negeri Malang, Indonesia; SMA Negeri 2 Martapura OKU Timur, Sumatera Selatan, Indonesia