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All Journal AKSIOMA: Jurnal Program Studi 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.
INVESTIGATING PRE-SERVICE TEACHERS’ (PST) MATHEMATICAL THINKING TRAJECTORIES (MTT) IN SOLVING SYSTEM OF LINEAR EQUATIONS PROBLEMS Sudirman, Sudirman; Saifurrisal, Ahmad Hasan; Parameswari, Pradina; Linuhung, Nego
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 13, No 3 (2024)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v13i3.10388

Abstract

Linear algebra is an area of mathematics that is widely considered challenging. One of the subjects covered is the system of linear equations in two variables. During their first year of college, Pre-Service Teachers (PST) study this subject using increasingly sophisticated approaches and theories. The objective of this qualitative study is to classify and describe the Mathematical Thinking Trajectories (MTT) of PST in solving a system of linear equations in two variables problems. Thirty-three PST majoring in mathematics education who enrolled in the Errors and Misconceptions in Mathematics course participated in this study, which used written answers as research data. The Three Worlds of Mathematics theory framework is used in this study. Seven MTT classifications were identified by the research findings: (1) embodied, (2) symbolic, (3) embodied-symbolic, (4) symbolic-embodied, (5) formal, (6) embodied-symbolic-embodied, and (7) symbolic-embodied-symbolic. “Embodied” refers to how PST applies mathematical ideas that focus on actual objects, “symbolic” focuses on symbols, operations, and their properties, and “formal” focuses on definitions, theorems, and logical procedures. In learning practices, the results of this study can be applied to create learning that is meaningful and that fosters the growth of algebraic thinking abilities.
Co-Authors Anita Dewi Utami Harfin Lanya, Harfin Nego Linuhung Putri, Octavina Rizky Utami Saifurrisal, Ahmad Hasan Sudirman Sudirman Susiswo Tatik Retno Murniasih