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All Journal Jurnal Infinity Community Development Journal: Jurnal Pengabdian Masyarakat Jurnal Pemberdayaan Masyarakat Jurnal Infinity Jurnal Pendidikan MIPA
Bariyah, Nusrotul
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Humanities Economics, Econometrics & Finance Education Health Professions Mathematics Public Health Social Sciences

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Journal : Jurnal Pendidikan MIPA

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Learning Obstacles and Students' Difficulties in Solving the Problem of Pythagorean Theorem: A Systematic Literature Review Bariyah, Nusrotul; Prabawanto, Sufyani; Dahlan, Jarnawi Afgani
Jurnal Pendidikan MIPA Vol 25, No 4 (2024): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

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Abstract

Pythagorean's theorem is a fundamental concept in mathematics that is widely used in various fields, including geometry, physics, and engineering. The ability to understand and apply these theorems is important in solving geometric problems and calculating distances or angles in real contexts. However, there are learning obstacles and difficulties for students in solving the problems of the Pythagorean theorem. This study aims to describe the learning obstacles and difficulties of students in solving Pythagorean theorem material through Systemic Literature Review (SLR). The article search strategy applies inclusion and exclusion criteria. The selection process was 19 selected articles using CASP checklist with articles coming from Google Scholar, Scopus, Springer Link, IEEE Explore, and PubMed databases. Based on the results of the study, it was obtained that students' learning obstacles came from epistemological obstacles, ontogenic obstacles, and didactical obstacles. The students' difficulties are dominated by conceptual difficulties. Learning obstacles cause learning difficulties.  Studying students' learning obstacles and difficulties can assist a teacher identify student learning problems.        Keywords: learning difficulties, learning obstacles, pythagorean theorem, systematic literature review.DOI: http://dx.doi.org/10.23960/jpmipa/v25i4.pp1939-1960
The Mechanism of Didactical Obstacles in the Pythagorean Theorem: From Visual Rigidity to Procedural Failure Dahlan, Jarnawi Afgani; Prabawanto, Sufyani; Bariyah, Nusrotul; Nti, Seth Junior
Jurnal Pendidikan MIPA Vol 26, No 4 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i4.pp2495-2517

Abstract

Learning the Pythagorean theorem is a significant challenge at the junior high school level because students often struggle to understand concepts, connect geometric and algebraic representations, and solve contextual problems. Based on previous studies, students' difficulties indicate the presence of learning obstacles. Existing research has addressed students' difficulties, errors, and epistemological obstacles in solving Pythagorean theorem problems and has presented applications of the Pythagorean theorem. Therefore, this study aims to analyze students' didactic learning obstacles to the Pythagorean theorem topic. To achieve this goal, a qualitative case study was conducted. Data was collected through data triangulation: written tests, interviews, and document studies. At the data-collection stage, 30 students and two teachers participated. Based on the written test results, the answers exhibit various characteristics. At the analysis stage, it is performed using ATLAS.ti software. The results show that there is a form of didactic learning obstacles consisting of visual orientation obstacles and formula procedural obstacles. The Visual orientation obstacles include students' lack of understanding of triangle concepts. The procedural obstacles include students' incomprehension of algebraic representations, understanding of problem-solving, understanding of procedures beyond integers, and application of Puythagos' theorem formulas. Visual orientation obstacles cause formula procedural obstacles. The didactic factor that creates obstacles is the way the topic is presented and the teacher's approach to designing learning. Didactic obstacles analysis is an important step in formulating a hypothesis about how a concept should be taught. By knowing the didactic obstacles, teachers or researchers can develop a more accurate Hypothetical Learning Trajectory (HLT). This will lead to the design of learning activities that anticipate common mistakes and misconceptions.    Keywords: didactical obstacle, learning obstacle, topic presentation analysis, textbooks, pythagorean theorem.  
Co-Authors Amelia, Irma Awar, Herson Dwi Istiyani Elah Nurlaelah Epran, Epran Fatimah Djafar Iskandar, Idris Jarnawi Afgani Dahlan Kristiani, Yasinta Dian Lethulur, Nelma D Nti, Seth Junior Otaya, Lian Gafar Putri, Amelia Defrianti Simbolon, Asep Sufyani Prabawanto, Sufyani Sugianto, Andi