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All Journal JURNAL AXIOMA : Jurnal Matematika dan Pembelajaran
Abi Suwito
Universitas Jember, Indonesia
Education Mathematics

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Prilaku Proses Berpikir Menyelesaikan Geometri Pada Konteks Bahasa: Verbalization, Self-Explanation, Oral Description Lutfiyah Lutfiyah; Susanto Susanto; Abi Suwito
Jurnal Axioma : Jurnal Matematika dan Pembelajaran Vol. 11 No. 1 (2026): Januari
Publisher : Universitas Islam Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56013/axi.v11i1.5015

Abstract

This study aims to describe students’ thinking processes in solving geometry problems through verbal expressions: verbalization, self-explanation, and oral description. The participants were three university students who were asked to work on geometry tasks containing linguistic descriptions. Data were collected through video recordings, students’ written solutions, and think-aloud notes capturing their thinking processes. Data analysis followed three stages: data reduction, data display, and conclusion drawing. The results show that all participants demonstrated strong verbalization skills by restating key information from the problem text and representing it through labels and annotations in their drawings. In the self-explanation aspect, the three students attempted to justify their solution steps through sequences of calculations, although the strategies they used were not entirely accurate. Regarding oral description, all participants were able to describe the triangle structure, point positions, and altitude lines, yet not all of them could consistently connect these visualizations with correct computational procedures. These findings affirm that students’ verbal expressions play an important role in revealing the structure of their thinking processes, especially in geometry problems that require integration between linguistic descriptions and spatial representations. Keywords: Thinking Process, Geometry, Verbalization, Self-Explanation, Oral Description
Pengaruh Bahasa Matematika Terhadap Psikologi Siswa Dalam Proses Pembelajaran: Systematic Literature Review Alvian Bagus Agatha Alvin; Susanto Susanto; Abi Suwito
Jurnal Axioma : Jurnal Matematika dan Pembelajaran Vol. 11 No. 1 (2026): Januari
Publisher : Universitas Islam Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56013/axi.v11i1.5024

Abstract

This study aims to analyze the influence of mathematical language on students’ psychological conditions in mathematics learning through a Systematic Literature Review (SLR) approach. The review examined articles published between 2015 and 2025 that discussed mathematical language, mathematical communication, and the psychological implications for learners. A total of 10 selected articles were analyzed based on research characteristics, participants, study design, and main findings. The synthesis results indicate that understanding mathematical language has a significant effect on students’ critical thinking skills, problem-solving abilities, and cognitive development. Difficulties in comprehending mathematical symbols, terminology, and structures may trigger anxiety, decreased learning motivation, and mathematics anxiety. Conversely, mastery of mathematical language enhances mathematical communication, academic self-confidence, and emotional intelligence. These findings underscore the importance of employing clear mathematical language, linguistic scaffolding, and adaptive learning strategies to foster positive cognitive and emotional learning experiences. Keywords: mathematical language, students’ psychology
Mengungkap Pola Respons Siswa Pada Geometris Melalui Analisis Rasch Berdasarkan Sintesis Teori Belajar Lutfiyah Lutfiyah; Susanto Susanto; Erfan Yudianto; Abi Suwito
Jurnal Axioma : Jurnal Matematika dan Pembelajaran Vol. 11 No. 2 (2026): Juli
Publisher : Universitas Islam Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56013/axi.v11i2.6214

Abstract

This study aims to analyze students’ response patterns in geometric using the Rasch Model based on a synthesis of learning theories. The study employed a descriptive quantitative approach involving 32 eighth-grade junior high school students. The research instrument consisted of 38 true/false geometry items developed from indicators of geometric thinking processes synthesized from the theories of Piaget, Vygotsky, and Thorndike. Students’ responses were coded dichotomously, with 1 for correct answers and 0 for incorrect answers, and then analyzed using the Rasch Model. The results showed that students’ geometric thinking abilities varied, with S29P having the highest ability and S11P the lowest. The most difficult item was SL32, while the easiest item was SL1. Overall, the instrument was sufficiently able to map students’ abilities, item difficulty, and response consistency, although several items still require revision. This study offers a new approach to integrating Rasch results through a synthesis of Piaget’s, Vygotsky’s, and Thorndike’s theories, so that the measurement outcomes do not merely produce estimates of students’ abilities, but also provide pedagogical interpretations of geometric thinking patterns. Keywords: Geometric Thinking Patterns, Rasch Analysis, Synthesis of Learning Theories, Geometry
Co-Authors Alvian Bagus Agatha Alvin Erfan Yudianto Lutfiyah Lutfiyah lutfiyah Lutfiyah Susanto, Susanto