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Integral (Jurnal Penelitian Pendidikan Matematika)Integral (Jurnal Penelitian Pendidikan Matematika)

This study aims to analyse the mathematical proof ability and learning difficulties of students in understanding Limit Function material, focusing on epistemological aspects. Success in proving mathematics is at the core of understanding concepts in mathematics, but this ability has not been fully internalised in students. The descriptive method was used in this study, involving nine prospective mathematics teachers at Pancasakti Tegal University who took the Real Analysis course. Data were collected through: (1) mathematical proof ability tests; (2) observation; (3) interviews; and (4) documentation. The results of the analysis show that there are five types of student difficulties in the context of epistemology, namely: a) Ability to understand and apply ideas; b) Difficulty visualising objects; c) Difficulty determining principles; d) Difficulty understanding problems; and e). Inability to prove math. In particular, students experience challenges in starting the proof process, using known definitions and principles, and tend to focus on what must be proven without a clear initial step. These findings are expected to provide insights into the development of learning processes and teaching materials, as well as improve mathematical proof skills among mathematics education students.

The study revealed varying levels of students ability to prove mathematical concepts, specifically in the context of function limits within a Real Analysis course.understanding and applying concepts, visualizing objects, determining principles, understanding problems, and inability to prove mathematically.These findings highlight the need for targeted interventions to address these challenges and enhance students mathematical proof skills.

Further research should investigate the effectiveness of scaffolding techniques in supporting students understanding and application of limit concepts, particularly focusing on bridging the gap between intuitive and formal definitions. Additionally, studies could explore the impact of incorporating diverse representations and tools, such as visual aids and technology, on students ability to overcome visualization difficulties and construct rigorous proofs. Finally, research is needed to develop and evaluate teaching approaches that specifically address common misconceptions related to limits and proof construction, potentially through targeted error analysis and feedback mechanisms. These investigations will contribute to a more nuanced understanding of student learning challenges and inform the development of more effective instructional strategies in real analysis and related mathematical disciplines, ultimately fostering a deeper and more robust understanding of mathematical proof among future mathematics educators.

  1. Beyond the Horizon of Media Ontologies | Galactica Media: Journal of Media Studies. beyond horizon ontologies... galacticamedia.com/index.php/gmd/article/view/91Beyond the Horizon of Media Ontologies Galactica Media Journal of Media Studies beyond horizon ontologies galacticamedia index php gmd article view 91
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