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Journal : Journal Focus Action of Research Mathematic (Factor M)

The students' visual reasoning in solving integral problems Sholihah, Ummu; Asyhar, Beni
Journal Focus Action of Research Mathematic (Factor M) Vol. 6 No. 2 (2023)
Publisher : IAIN Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30762/f_m.v6i2.1988

Abstract

Kalkulus integral merupakan salah satu mata kuliah matematika yang memerlukan penalaran, kemampuan komunikasi serta kemampuan berpikir tingkat tinggi dalam menyelesaikannya. Tujuan penelitian ini untuk mendeskripsikan penalaran visual mahasiswa dalam menyelesaikan masalah integral. Subjek penelitian 3 mahasiswa S1 Prodi Studi Tadris Matematika UIN Sayyid Ali Rahmatullah Tulungagung. Teknik pengumpulan data menggunakan tes dan wawancara. Analisis data dengan mereduksi data, menyajikan data dan menarik kesumpulan. Hasil penelitian menunjukkan adanya perbedaan penalaran mahasiswa laki-laki dan Perempuan dalam menyelesaikan masalah integral. Mahasiswa Laki-laki lebih mampu memenuhi proses penalaran yaitu representasi visual, visualisasi, dan transisi ke berpikir matematis. Integral calculus is a mathematics course that requires reasoning, communication skills and high-level thinking skills to complete it. The objective of this research is to describe students' visual reasoning in solving integral problems. The research subjects were 3 undergraduate students from the Tadris Mathematics Program at UIN Sayyid Ali Rahmatullah Tulungagung. Data collection techniques used tests, think-aloud, and interviews. Data analysis used reducing data, presenting data, and concluding. The research results showed that there are differences in the reasoning of male and female students in solving integral problems. Male students are better able to fulfill the reasoning process, such as visual representation, visualization, and transition to mathematical thinking.
The students' visual reasoning in solving integral problems Sholihah, Ummu; Asyhar, Beni
Journal Focus Action of Research Mathematic (Factor M) Vol. 6 No. 2 (2023)
Publisher : Universitas Islam Negeri (UIN) Syekh Wasil Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30762/f_m.v6i2.1988

Abstract

Kalkulus integral merupakan salah satu mata kuliah matematika yang memerlukan penalaran, kemampuan komunikasi serta kemampuan berpikir tingkat tinggi dalam menyelesaikannya. Tujuan penelitian ini untuk mendeskripsikan penalaran visual mahasiswa dalam menyelesaikan masalah integral. Subjek penelitian 3 mahasiswa S1 Prodi Studi Tadris Matematika UIN Sayyid Ali Rahmatullah Tulungagung. Teknik pengumpulan data menggunakan tes dan wawancara. Analisis data dengan mereduksi data, menyajikan data dan menarik kesumpulan. Hasil penelitian menunjukkan adanya perbedaan penalaran mahasiswa laki-laki dan Perempuan dalam menyelesaikan masalah integral. Mahasiswa Laki-laki lebih mampu memenuhi proses penalaran yaitu representasi visual, visualisasi, dan transisi ke berpikir matematis. Integral calculus is a mathematics course that requires reasoning, communication skills and high-level thinking skills to complete it. The objective of this research is to describe students' visual reasoning in solving integral problems. The research subjects were 3 undergraduate students from the Tadris Mathematics Program at UIN Sayyid Ali Rahmatullah Tulungagung. Data collection techniques used tests, think-aloud, and interviews. Data analysis used reducing data, presenting data, and concluding. The research results showed that there are differences in the reasoning of male and female students in solving integral problems. Male students are better able to fulfill the reasoning process, such as visual representation, visualization, and transition to mathematical thinking.
A qualitative study of students’ semiotic ability in calculus problem representation: A visual thinking perspective Sholihah, Ummu; Asyhar, Beni; Lukmana, Dana Arif
Journal Focus Action of Research Mathematic (Factor M) Vol. 9 No. 1 (2026): June 2026
Publisher : Universitas Islam Negeri (UIN) Syekh Wasil Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30762/f_m.v9i1.8184

Abstract

Amid limited attention to the interplay between visual thinking and semiotic processes in calculus learning, this study aims to describe students’ semiotic ability to represent calculus problems at different levels of visual thinking. This study employed a descriptive qualitative case study design to explore students’ semiotic abilities in representing calculus problems at different levels of visual thinking. The subjects were selected through purposive sampling from fourth-semester Mathematics Education students. Data were collected through written tests and semi-structured interviews, then analyzed using Peirce’s Triadic semiotic framework. The findings indicate that students with high visual thinking ability can construct deep conceptual interpretants, particularly in understanding derivatives as dynamic processes and as geometric transitions from secant lines to tangent lines; however, they have difficulty articulating this understanding through written visual representations. Students with moderate visual thinking ability demonstrate partial comprehension of semiotic components and can integrate them only with reflective scaffolding. In contrast, students with low visual thinking ability fail across all semiotic aspects and therefore tend to rely on mechanistic procedures without a strong conceptual foundation. These results suggest a strong positive relationship between visual thinking and semiotic ability and underscore the urgency of integrating multimodal, visually oriented approaches into calculus instruction to foster comprehensive conceptual understanding.