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All Journal MATHEdunesa Journal of Mathematical Pedagogy (JOMP)
Dewi, Silvia Kumala
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Students' Deductive Reasoning in Evaluating Solutions to Geometry Problems Rahmah, Aulia; Dewi, Silvia Kumala; Kohar, Ahmad Wachidul
Journal of Mathematical Pedagogy (JoMP) Vol. 4 No. 2: July 2023
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jomp.v4n2.p74-83

Abstract

Deductive reasoning is very important in learning mathematics and is one of the formal goals that emphasizes the arrangement of reasoning. This is a qualitative research that aims to describe the deductive reasoning abilities of junior high school students in evaluating problem solutions in geometry material. The subjects of this study were two junior high school students in Gresik who had high mathematical abilities and were of different genders. The instrument used was task-based interviews. The task in question is a deductive reasoning ability test in which there are problems and their solutions. Data analysis was carried out using three indicators of deductive reasoning according to Sumarmo: carrying out calculations based on certain formulas, conducting proofs, and drawing conclusions. The results showed that the deductive reasoning abilities of female and male students were relatively the same. In solving the problem, Both male and female students had similar initial idea by making an example of the length of the side of the given object. However, male students are more capable of proving and considering more effective strategies for solving problems. Therefore, students and teachers need to improve their deductive reasoning abilities and consider all effective strategies for solving problems.
Penalaran Aljabar Siswa Sekolah Menengah Pertama (SMP) dalam Menyelesaikan Soal Open-ended Ditinjau dari Adversity Quotient Dewi, Silvia Kumala; Setianingsih, Rini
MATHEdunesa Vol. 14 No. 2 (2025): Jurnal Mathedunesa Volume 14 Nomor 2 Tahun 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v14n2.p370-387

Abstract

Algebraic reasoning is the process of finding patterns from mathematical problems, recognizing relationships between quantities, and forming generalizations. Algebraic reasoning is important to develop to build deeper and more complex mathematical conceptual development. One step that can be taken is by giving open-ended questions. Adversity quotient (AQ) influences students in responding to problems. This research is a qualitative descriptive study which aims to describe the algebraic reasoning of students with climber, camper and quitter AQ types in solving open-ended problems. The instrument for determining research subjects is the Adveristy Response Profile (ARP) questionnaire, while the instruments for collecting data are algebraic reasoning tasks and interview guides. Data analysis is carried out through data condensation, data presentation, and drawing conclusions. The subjects in this research were class VIII students at SMPN 3 Surabaya consisting of one student from each type of AQ climber, camper, and quitter. The results of the research show that in the pattern search indicator, climber and camper students collect existing information and find pattern regularities. Quitter students make calculation errors so they do not find pattern regularity. In the pattern recognition indicator, climber and camper students tested the truth of the patterns they had previously obtained, while quitter students did not carry out a truth test because in the previous activity they did not find pattern. In the generalization indicator, climber and camper students make general rules in precise mathematical form. Quitter students do not write general rules on answer sheets and cannot provide explanations during interviews.
Co-Authors Ahmad Wachidul Kohar Aulia Rahmah Rini Setianingsih