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All Journal Jurnal Pendidikan Indonesia Al-Jabar : Jurnal Pendidikan Matematika MATEMATIKA DAN PEMBELAJARAN M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Absis : Jurnal Pendidikan Matematika dan Matematika Bada'a: Jurnal Ilmiah Pendidikan Dasar Integral : Jurnal Penelitian Pendidikan Matematika Journal on Mathematics Education
Kusnandi
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Computer Science & IT Decision Sciences, Operations Research & Management Education Environmental Science Mathematics Social Sciences Other

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An exploration of students beliefs and self-confidence in constructing mathematical proofs Hermanto; Kusnandi; Al Jupri; Darhim
Jurnal Absis: Jurnal Pendidikan Matematika dan Matematika Vol. 9 No. 1 (2026): Jurnal Absis
Publisher : Program Studi Pendidikan Matematika Universitas Pasir Pengaraian

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30606/absis.v9i1.4230

Abstract

The ability to construct mathematical proofs is one of the essential competencies in mathematics learning at the university level. Understanding the process of constructing mathematical proofs cannot be achieved solely through cognitive aspects, but also requires attention to students’ affective aspects. This study aims to examine affective aspects in the form of students’ beliefs and self-confidence in constructing mathematical proofs. The study employed a qualitative approach with a case study design. The research subjects were 42 second-semester students at a public university in Indonesia who had completed a Number Theory course. Data were collected through a written test consisting of mathematical proof problems and semi-structured interviews. For in-depth analysis, three students were purposively selected to represent variations in the mathematical proof construction process. Data analysis was conducted using a descriptive qualitative method by examining students’ beliefs and self-confidence during the process of constructing mathematical proofs. The results show that students’ beliefs can be classified into three categories based on each proof construction process they performed. In addition, students’ self-confidence is also grouped into three categories, ranging from confidence associated with reaching answers quickly despite being incorrect, to confidence demonstrated through the ability to explain and defend the proof construction process in a coherent and convincing manner. These findings emphasize the important role of affective aspects, in addition to cognitive aspects, in understanding students’ behavior in constructing mathematical proofs.
Co-Authors Ahmad Dzulfikar Al Jupri Darhim Darhim Didi Suryadi Endang Cahya Mulyaning Endang Cahya Mulyaning A. Hamidah Suryani Lukman Hermanto Kartika Yulianti Kholisoh, Lilis Marlina Nanang Priatna Rohati Salni Sholihat, M. Nuur’aini Sholikhakh, Rizqi Amaliyakh Sholikhakh Siti Aisah, Lusi Tatang Herman, Tatang Tonra, Wilda Syam Trisnawati, Rini Turmudi Wahyudin Windia Hadi, Windia Yaya S. Kusumah