Penalaran deduktif siswa olimpiade kelas XI dalam menyelesaikan pembuktian matematika berdasarkan gaya kognitif

Kinasih, Iffa Abdillah and Irawan, Wahyu Henky (2023) Penalaran deduktif siswa olimpiade kelas XI dalam menyelesaikan pembuktian matematika berdasarkan gaya kognitif. Galois: Jurnal Penelitian Pendidikan Matematika, 2 (2). pp. 28-41. ISSN 2828-8386

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Abstract

Reasoning is a process of logical thinking. Proof is a series of logical arguments to show the truth of a statement. Reasoning is needed in proving a statement. The purpose of this study is to describe the deductive reasoning of Olympiad students in solving mathematical proofs based on field independent and field dependent cognitive styles. The indicators of deductive reasoning used are compiling evidence against the correctness of solutions, checking the validity of an argument, drawing conclusions from mathematical statements. This study uses a descriptive qualitative approach, located at MAN 2 Malang City. Subject selection based on field independent–field dependent cognitive style using the GEFT questionnaire, as many as four students. The research data were in the form of answer sheets and interview transcripts and were analyzed through triangulation methods. The results showed that field independent students were able to fulfill all indicators and construct proofs using mathematical induction and Gaussian proofs correctly. Meanwhile, field dependent students cannot fulfill all indicators, and in compiling evidence using mathematical induction, students go through n = k proof, so the structure of the evidence is incomplete.

Item Type:	Journal Article
Keywords:	deductive reasoning; proof; cognitive style
Subjects:	13 EDUCATION > 1302 Curriculum and Pedagogy > 130202 Curriculum and Pedagogy Theory and Development
Divisions:	Faculty of Tarbiyah and Teaching Training > Department of Mathematics Education
Depositing User:	Wahyu Henky Irawan
Date Deposited:	05 Mar 2026 13:54

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