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Analogical Reasoning in Mathematical Theorems Hardiani, Nur; Kristayulita, Kristayulita
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 1 (2023): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i1.10783

Abstract

Analogical reasoning is one of the most powerful tools of mathematical thinking. For example, to prove a theorem it is necessary to see similarities with the previous theorem. This study aims to classify analogies in mathematics courses and examples. This classification is based on research results. The research was conducted use qualitative research. The research subjects are 12 lecturers who teach mathematics courses and study program managers. Analogical reasoning instruments are unstructured interview guidelines and observation sheets. Interview guides and observation sheets were made to be able to reveal mathematics analogical reasoning in the Mathematics Education Study Program course. The results of the research show that there are 3 types of analogy classifications in mathematics courses, namely definition analogy, theorem-defining analogy, and theorem analogy. First, the definition of similarity in the same or different courses. Second, the similarities between definitions and theorems in the same or different courses. Third, the theorem similarities in the same or different subjects. Our classification is related to theorems and analogical properties in several courses in the curriculum of the Mathematics Education Study Program. The analogy can be applied to certain mathematical topics related to real life. Meanwhile, to analyze other aspects of reasoning through analogy needs to be studied further.
Analisis Persepsi Mahasiswa terhadap Efektivitas Penggunaan Apikasi GeoGebra dalam Pembelajaran Geometri Fariana, Nur Al; Hardiani, Nur; Kristayulita, Kristayulita
Media Pendidikan Matematika Vol. 13 No. 2 (2025): J-MPM
Publisher : Universitas Pendidikan Mandalika (UNDIKMA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/mpm.v13i2.18737

Abstract

The use of the GeoGebra application in geometry learning continues to grow; however, understanding of how students perceive its effectiveness remains limited. Therefore, this study aims to analyze students’ perceptions of the effectiveness of GeoGebra in geometry learning at the State Islamic University of Mataram. This research employed a descriptive qualitative approach involving second-semester Mathematics Education students. Semi-structured interviews and documentation were used as instruments to explore students’ experiences, assessments, and responses during GeoGebra-based learning. The data were analyzed through the stages of data reduction, data display, and conclusion drawing. The findings indicate that, cognitively, GeoGebra supports students’ understanding of geometric concepts through interactive visualization, ease of exploration, and assistance in constructing and verifying concepts. Affectively, GeoGebra enhances students’ interest, comfort, and motivation to learn due to its engaging and user-friendly interface. These findings suggest that GeoGebra is effective in fostering more interactive and meaningful geometry learning. The study further implies the importance of integrating GeoGebra into higher education geometry courses as an effort to strengthen conceptual understanding and promote students’ learning motivation.