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All Journal AlphaMath: Journal of Mathematics Education Plusminus: Jurnal Pendidikan Matematika Jurnal Didaktik Matematika
Herry Agus Susanto
Universitas Veteran Bangun Nusantara
Education Mathematics Other

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Kesalahan Siswa dalam Menyelesaikan Soal Garis Singgung Lingkaran Dian Elyana; Erika Laras Astutiningtyas; Herry Agus Susanto
Plusminus: Jurnal Pendidikan Matematika Vol 3, No 1 (2023)
Publisher : Institut Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/plusminus.v3i1.2106

Abstract

Garis singgung lingkaran merupakan salah satu materi dimana siswa banyak melakukan kesalahan. Tujuan penelitian ini untuk mengetahui jenis-jenis kesalahan dalam menyelesaikan soal pada pokok bahasan garis singgung lingkaran dan faktor-faktor yang menyebabkannya. Penelitian ini merupakan penelitian deskriptif kualitatif dengan subyek penelitian yaitu 29 siswa kelas VIII B pada salah satu SMP Negeri di Ngargoyoso. Teknik pengumpulan data diambil dari hasil tes dan wawancara terhadap siswa. Data dianalisis dengan triangulasi data. Hasil penelitian menunjukkan tiga jenis kesalahan dalam menyelesaikan soal pada pokok bahasan garis singgung lingkaran yaitu kesalahan konsep, kesalahan prinsip, dan kesalahan operasi. Kesalahan-kesalahan tersebut diakibatkan oleh dua faktor, yaitu faktor internal seperti rendahnya kemampuan pemahaman, dan faktor eksternal seperti kurangnya konsentrasi. Kesalahan yang terjadi beserta penyebabnya dapat lebih diperhatikan oleh guru untuk meningkatkan penguasaan materi garis singgung lingkaran. The tangent to the circle is one of the materials in which students make many mistakes. The purpose of this research is to find out the types of errors in solving problems on the subject of circle tangents and the factors that cause them. This research is a qualitative descriptive study with research subjects namely 29 students of class VIII B at one of the State Middle Schools in Ngargoyoso. Data collection techniques were taken from the results of tests and interviews with students. Data were analyzed by data triangulation. The results showed that there were three types of errors in solving questions on the topic of tangent lines, namely conceptual errors, principal errors, and operational errors. These errors are caused by two factors, namely internal factors such as low understanding ability, and external factors such as lack of concentration. Errors that occur and their causes can be paid more attention to by the teacher to improve mastery of the tangent to a circle material.
Mathematical Literacy Analysis of Class XI Students of the PISA Model in View of Adversity Quotient (AQ) Elisabet Putri Wardani; Herry Agus Susanto; Erika Laras Astutiningtyas
AlphaMath : Journal of Mathematics Education Alphamath: Vol. 9, No. 2, November 2023
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Purwokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30595/alphamath.v9i2.17529

Abstract

This study aims to describe the mathematical literacy of grade XI students of SMA Negeri 2 Karanganyar in solving the PISA problem model in terms of the Adversity Quotient. For some students, mathematical concepts can be difficult to grasp, causing frustration and disinterest with the subject. For others, external factors such as lack of resources, inadequate teaching methods, and inadequate support can contribute to poor math performance. This research is included in qualitative research. The data used were obtained from test results and interviews. The subjects of the study were carried out by grade XI students of SMA Negeri 2 Karanganyar. Data analysis procedures in this study are data collection, power reduction, data presentation, and conclusion pulling. Checking the validity of power in this study using triangulation techniques/methods. The results showed that (1) Students with climber type AQ were able to explain answers fluently and clearly, able to mention after facts, solve problems with simple strategies in solving problems. (2) Students with campers-type AQ are capable and some are unable to explain answers fluently and clearly, solving problems with simple strategies in solving problems. The types "climber" and "camper" are often used to describe patterns of behavior that can be observed in the context of AQ, there may not be a "quitter" type listed because the main focus of AQ is on the positive and adaptive aspects of facing challenges and difficulties.
Mental Construction of Ring Theory Concepts Among Pre-service Mathematics Teachers: A Multi-Case APOS Analysis Vemas Dwi Agustino; Herry Agus Susanto; Afif Afghohani
Jurnal Didaktik Matematika Vol. 13 No. 1 (2026): Jurnal Didaktik Matematika
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v13i1.1992

Abstract

Despite its foundational role, pre-service mathematics teachers frequently struggle with the high level of mathematical abstraction and the deductive arguments required to construct abstract algebra concepts, particularly Ring Theory. This study maps and analyzes the cognitive variations and mental structures of pre-service mathematics teachers facing these challenges within the APOS framework. Addressing single-case design limitations, this qualitative study employs a multi-case comparative design involving three high-ability pre-service teachers selected through strict criterion sampling. Data were gathered via a written diagnostic test and task-based clinical interviews for the primary subject, complemented by textual content analysis of written artifacts for the corroborative subjects. The results reveal that in the Action stage, subjects relied heavily on external axiomatic checklists. In the Process stage, they successfully internalized algebraic properties as mental operations. Transitioning to the Object stage, they encapsulated dynamic processes into static mathematical entities by treating rings as unified structures, ultimately synthesizing these into a coherent Schema. Crucially, cross-case analysis establishes that advanced algebraic schema development relies on bidirectional flexibility—the fluid capability to rapidly encapsulate processes into objects and de-encapsulate objects back into processes.
Co-Authors Afif Afghohani Dian Elyana Elisabet Putri Wardani Erika Laras Astutiningtyas Vemas Dwi Agustino