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All Journal EKSAKTA : Jurnal Penelitian dan Pembelajaran MIPA JURNAL MathEdu (Mathematic Education Journal)
Ayathollah Khomeni
Institut Pendidikan Tapanuli Selatan
Agriculture, Biological Sciences & Forestry Education Mathematics

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ONTOGENICAL OBSTACLE PESERTA DIDIK DALAM MEMPELAJARI HUBUNGAN ANTAR SUDUT SALING BERPENYIKU KELAS VII SMP Ayathollah Khomeni; Yuni Rhamayanti
Eksakta : Jurnal Penelitian dan Pembelajaran MIPA Vol 9, No 1 (2024): Eksakta : Jurnal Penelitian dan Pembelajaran MIPA
Publisher : Fakultas Keguruan Dan Ilmu Pendidikan, UM-Tapsel

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31604/eksakta.v9i1.%p

Abstract

Abstract Mathematics consists of several sections of science concentration, one of which is geometry. Lines and angles are the most basic geometric material studied by students at the Junior High School (SMP) level in class VII. Lines and angles are basic material that is very important for students to understand as a basis for understanding subsequent geometry material. Ontogenic obstacles (ontegic obstacles) are one of the obstacles related to students' mental readiness in terms of the limited knowledge possessed by students, both in terms of application context and in terms of cognitive maturity in accepting new knowledge. The aim of the research is to analyze the types of ontogenic obstacles identified by students in learning the material about lines and angles in the sub-discussion of angles. The method used in this research is a qualitative method with a Didactical Design  Research model approach through retrospective analysis. Data collection in research applies triangulation techniques, namely through observation, documentation and interviews. The results of this research indicate that students experience learning obstacles of the ontogenic type in learning the relationship between angles at angles school in line and angle material class VII SMP.
KEMAMPUAN PEMECAHAN MASALAH DAN BERPIKIR KRITIS: ANALISIS KESALAHAN MAHASISWA PADA MATERI HOTS SMP Ayathollah Khomeni; Yusup Junaedi; Yugi Hilmi; Rahmatika Elindra
JURNAL MathEdu (Mathematic Education Journal) Vol 9 No 2 (2026): JURNAL MathEdu (Mathematic Education Journal) Juli 2026
Publisher : Program Studi Pendidikan Matematika Institut Pendidikan Tapanuli Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37081/mathedu.v9i2.8186

Abstract

This study aims to analyze the problem-solving and critical thinking abilities of prospective mathematics teachers in solving Higher Order Thinking Skills (HOTS) problems on lines and angles through error analysis. The study employed a qualitative descriptive approach. The research subjects consisted of 20 fourth-semester students of the Mathematics Education Study Program at Institut Pendidikan Tapanuli Selatan (IPTS). Data were collected through HOTS geometry tests, task-based interviews, and documentation of students’ written work. Error analysis was conducted using Newman’s Error Analysis (NEA), while critical thinking and problem-solving abilities were analyzed using the FRISCO and Krulik-Rudnick frameworks. Data were analyzed using the interactive model of Miles, Huberman, and Saldaña, which includes data reduction, data display, and conclusion drawing. The results showed that students’ abilities were still in the moderate to low category. The dominant errors occurred at the transformation and process skills stages, indicating difficulties in converting visual representations into mathematical models and selecting appropriate solution strategies. In addition, students demonstrated weaknesses in critical thinking, particularly in reasoning, inference, and overview indicators. These errors were influenced by epistemological and ontogenic obstacles related to weak spatial ability and conceptual understanding of geometry. Therefore, HOTS-based learning emphasizing visualization, critical thinking, and systematic problem-solving is needed to improve prospective teachers’ mathematical abilities.
Co-Authors Rahmatika Elindra Yugi Hilmi Yuni Rhamayanti Yusup Junaedi