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All Journal Jurnal Didaktik Matematika
Anisa Widiastuti
University of Jember
Education Mathematics

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The Thinking Process of Students in Proving Ceva's Theorem in Basic Geometry Course Anisa Widiastuti; Susanto Susanto; Abi Suwito; Dian Kurniati; Nurcholif Diah Sri Lestari
Didaktik Matematika Vol 11, No 2 (2024): OCTOBER 2024
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v11i2.40451

Abstract

.The thinking process is crucial in identifying students' challenges in formulating logical arguments,particularly when proving geometric concepts such as Ceva's Theorem. This study investigates the cognitive processes of students with high and medium mathematical ability to solve proof problems related to Ceva's Theorem.Adopting a qualitative approach, the research employed a case study design, utilising data collection techniques including tests, interviews, observations, documentation, and triangulation.The research subjects comprised two undergraduate students of Mathematics Education, representing a medium and high mathematical ability category. The research findings revealed that students with high mathematical abilityprogressedthrough assimilation, accommodation, and equilibrium stages in proving Ceva's Theorem. In contrast, students with moderate mathematical ability experienced the disequilibrium phase first beforeadvancing to assimilation, accommodation, and equilibrium. The fundamental difference between these two groups lies in their ability to identify the question posed in the problem andcorrectly identify the theorem to be proved.This research provides valuable insights into the cognitive processes involved in mathematical proof, offering an in-depth understanding of how students approach the proof of Ceva's Theorem.
Co-Authors Abi Suwito Dian Kurniati Nurcholif Diah Sri Lestari Susanto Susanto