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ANALYSIS OF STUDENTS- THINKING PROCESS IN SOLVING THE PROBLEMS OF NEGATION OF COMPOUND STATEMENT BASED ON APOS THEORY
Nurjanah (1), Wahyudin (2), and S. Prabawanto (2)

(1) Program Studi Pendidikan Matematika, Universitas Islam Nusantara, Jalan Soekarno-Hatta No 530, Bandung 40286, Indonesia.
(2) Program Studi Pendidikan Matematika, Universitas Pendidikan Indonesia. Jl. Dr. Setiabudi 229, Bandung 40154, Indonesia.


Abstract

This research aims to describe students- thinking process in solving the problem of negation of compound statement, especially conjunction and disjunction. By using descriptive explorative research students- thinking process was analyzed based on APOS theory. The subjects of this research are 9 students of freshman which in joining the Logic and Set Theory course in one of universities in Bandung. The data was collected by test, observation, and interview. Based on research findings, researchers conclude particularly in each of mental constructions phases of APOS, in: action, process, object, and scheme phases precisely. The action was formed almost perfectly on all students, except for a student in low category. Interiorization of action into a process does not occur only for a student in low category, while in other students it is perfect or imperfect. Thereafter, at the object phase, a student in high category performs the encapsulation and de-encapsulation processes perfectly, while there are two students in low category who can-t do the two processes and the other students do those processes with some mistakes. Finally, there are two students in low category and a student in medium category such that can-t organize action, process, and object to build scheme.

Keywords: thinking process, negation, APOS theory

Topic: Mathematics Education

Link: https://ifory.id/abstract/pJADGtdXEjzf

Conference: International Conference on Mathematics and Science Education (ICMScE 2019)

Plain Format | Corresponding Author (NURJANAH NURJANAH)

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