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All Journal JMPM: Jurnal Matematika dan Pendidikan Matematika JTAM (Jurnal Teori dan Aplikasi Matematika)
Parameswari, Pradina
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Education Mathematics

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The Growth of Students' Function Limit Concepts Understanding in Solving Controversial Problems Based on Pirie Kieren's Theory Susiswo, Susiswo; Parameswari, Pradina; Putri, Octavina Rizky Utami; Lanya, Harfin; Utami, Anita Dewi; Murniasih, Tatik Retno
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 4 (2023): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i4.16835

Abstract

Almost all students understand the limit of a function only up to an intuitive definition and have difficulty understanding the concept of a limit function formally. This study aims to describe the growth of student understanding of functions limit concept in solving controversial problems based on Pirie Kieren's theory. There were twelve Calculus class students in the short semester as participants.   The students selected were those who had taken calculus courses. Students are given the task of solving controversial problems to understand the concept of limit functions. There was only one student who showed a growing understanding of the concept of the limit of a function and was interviewed for further exploration. This research is a qualitative descriptive research. Therefore, the researchers analyzed the results of students' work through data reduction, data presentation, and conclusion drawing. The result shows that through controversial problems, students' understanding grows to an inventising level. However, students did ‘fold back’ at the observing level. At this level, students look at or re-read their notebooks to recall previously owned concepts.   For further research it is suggested that researchers can design a learning process that can help grow student understanding through controversial problems.
When Proportion Problems Confuse: Prospective Teachers’ Reasoning Difficulties Parameswari, Pradina; Fitria, Analisa; Labuem, Susana
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 10 No 2 (2025): September 2025 - February 2026
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Difficulties in completing school mathematics material are also experienced by prospective teacher students. Proportion is the foundational mathematical material for studying other mathematics. Commonly known proportion concepts are direct and inverse proportion. Most students still have difficulty distinguishing between direct and inverse proportion. To distinguish between two problems requires proportional reasoning. Therefore, this study aimed to describe the forms of proportional reasoning difficulties of prospective teacher students in distinguishing between direct and inverse proportion. This research was a case study which conducted at a private university in Malang City, attended by 10 third-semester students. Two subjects were selected based on mathematics tests, interviews, and student willingness. The results showed that students experienced intuitive, additive, and proportion attempt difficulties in the first problem. Meanwhile, students experienced difficulties with additive and proportion attempts difficulties in the second problem. This research can provide insight into how prospective teacher students effectively teach the concept of proportion.
Co-Authors Analisa Fitria Anita Dewi Utami Harfin Lanya, Harfin Labuem, Susana Putri, Octavina Rizky Utami Susiswo Tatik Retno Murniasih