Nti, Seth Junior
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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.  
Students Thinking Processes in Generalizing Patterns Based on The Personality of RIASEC Holland Theory Bariyah, Nusrotul; Dahlan, Jarnawi Afgani; Nti, Seth Junior
International Journal of Pedagogy and Teacher Education Vol 8, No 2 (2024): International Journal of Pedagogy and Teacher Education - October
Publisher : The Faculty of Teacher Training and Education (FKIP), Universitas Sebelas Maret, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/ijpte.v8i2.96344

Abstract

Generalizing patterns is a fundamental mathematical skill with widespread applications. However, only 7.1% of students demonstrate high proficiency in generalizing patterns, indicating significant challenges in identifying and applying rules. This study explores the thinking processes of students who succeed and fail in generalizing linear patterns, analyzed through the lens of Holland's RIASEC personality model. Employing a qualitative phenomenological approach, data were collected through pattern generalization tests, RIASEC questionnaires, and interviews conducted with seven junior high school students in Bandung, selected based on communication skills and varied personality types. The findings reveal that students with investigative personalities are most successful, exhibiting critical thinking and problem-solving abilities aligned with pattern generalization tasks. In contrast, unsuccessful students predominantly rely on numerical data or recursive strategies without effectively connecting visual configurations. This research identifies three distinct thinking processes: focusing solely on numerical data, combining numerical data with operational adjustments, and refining generalizations using visual patterns. The study underscores the importance of leveraging visual aids and trial-and-error methods in teaching pattern generalization. Differentiated instruction, tailored to students’ cognitive and personality traits, is recommended to address diverse learning needs and enhance mathematics education quality. This study contributes to understanding the interplay between personality and cognitive strategies in mathematical problem-solving. It also emphasizes the necessity for inclusive teaching strategies that cater to varied student profiles to foster success in generalizing patterns and developing essential mathematical skills