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All Journal Jurnal Elemen JPMI (Jurnal Pembelajaran Matematika Inovatif)
Septy Sari Yukans
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Mathematics Other

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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.
Kemampuan literasi matematika siswa SMP pada materi SPLDV melalui problem based learning berbantuan nearpod Rahmah, Dinda Audina; Rahma Siska Utari; Septy Sari Yukans; Dea Alvionita Azka
JPMI (Jurnal Pembelajaran Matematika Inovatif) Vol. 9 No. 1 (2026): JPMI
Publisher : IKIP Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/jpmi.v9i1.29997

Abstract

The 2022 PISA results show that the mathematical literacy performance of Indonesian students remains low. This study aims to describe the mathematical literacy abilities of ninth-grade students through the implementation of Problem Based Learning (PBL) supported by Nearpod in the topic of Systems of Linear Equations in Two Variables (SPLDV). The research subjects consisted of 29 students from MTs Negeri 1 Ogan Ilir. Data were collected through written tests in the form of open-ended questions, as well as interviews. The PBL learning supported by Nearpod was carried out in one meeting prior to the administration of the test. The data were analyzed using triangulation to obtain a comprehensive description of students’ mathematical literacy abilities. The findings indicate that the implementation of PBL supported by Nearpod can enhance students’ mathematical literacy, particularly in the aspect of formulating problems. However, students still encounter difficulties in mathematizing contextual information into mathematical models and performing basic calculations accurately. These findings contribute to efforts to improve the quality of mathematics learning through the integration of problem-based learning and interactive technological tools.
Co-Authors Dea Alvionita Azka Rahma Siska Utari Rahmah, Dinda Audina Scristia Tatang Herman, Tatang