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Scristia
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Redesigning geometry assessments to promote advanced geometric thinking: A case study on formal deduction and rigor Scristia; Herman, Tatang; Septy Sari Yukans
Jurnal Elemen Vol 11 No 1 (2025): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i1.27723

Abstract

Many geometry problems at the university level, particularly in analytic geometry courses, tend to prioritize procedural tasks to foster deeper geometric thinking. This study aims to analyze and redesign existing geometry problems to enhance pre-service mathematics teachers' formal deductive reasoning and rigor in accordance with the Van Hiele model. Employing a case study approach, four geometric problems were analyzed in relation to their alignment with various levels of geometric thinking. The study involved a detailed examination of pre-service mathematics teachers’ responses and the structure of their problems to identify aspects that require improvement to better support higher-order thinking. The methodology included a content analysis of problem design and pre-service mathematics teachers’ answers, focusing on their engagement in formal deduction and generalization. The findings indicate that the current problems insufficiently promote the development of formal deduction and rigor, as they are primarily centered on formula applications without requiring proof or generalization. Specific recommendations are provided in the form of redesigned analytic geometric problems aimed at fostering advanced geometric thinking. These redesigns are expected to help pre-service mathematics teachers tackle more complex mathematical problems by encouraging logical reasoning and argumentation.
Analisis Konsepsi Guru-Guru Matematika Sekolah Menengah Tentang Hakikat Masalah Matematika dalam Pendekatan Students Centered Learning (Studi Kasus dalam Pembelajaran Matematika di SMA Kota Palembang) Scristia; Hiltrimartin, Cecil; Santoso, Budi
Mathematics Education Journal Vol. 12 No. 1 (2018): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

This study is a case study to examine, make interpretations and gain a deep understanding of the conception and the use of mathematical problems in the SCL approach applied in the classroom. This study aims to explore the understanding of high school mathematics teachers in Palembang city of the nature of a problem in the SCL approach. This study uses questionnaires, observations and documents as the main data and interviews as supporting data. This study takes a sample of 3 high school teachers in Palembang City.
Co-Authors Cecil Hiltrimartin Dwi Budi Santoso Septy Sari Yukans Tatang Herman, Tatang