Galois: Jurnal Penelitian Pendidikan Matematika

Identifikasi Faktor-faktor Minat Belajar Siswa SMA pada Mata Pelajaran Matematika

2026-01-01T22:43:19+00:00

Minat belajar merupakan aspek penting dalam keberhasilan proses pembelajaran, terutama pada mata pelajaran matematika yang sering dianggap sulit dan membosankan oleh sebagian siswa. Minat belajar siswa tidak muncul secara tiba-tiba, tetapi dipengaruhi oleh berbagai faktor internal dan eksternal. Penelitian ini bertujuan untuk mengidentifikasi faktor-faktor yang mempengaruhi minat belajar matematika siswa SMA. Penelitian ini menggunakan pendekatan kualitatif deskriptif dengan teknik pengumpulan data berupa angket yang terdiri dari 20 pernyataan berdasarkan enam indikator, yaitu: pemahaman konsep materi, rasa ingin tahu terhadap pembelajaran, keterlibatan siswa, minat terhadap guru dan metode, motivasi belajar, dan perasaan senang terhadap pembelajaran. Subjek penelitian terdiri dari 34 siswa SMA. Hasil analisis menunjukkan bahwa semua indikator berada pada kategori tinggi, dengan faktor motivasi sebagai faktor dominan yang mempengaruhi minat belajar siswa. Sementara itu, pemahaman konsep merupakan indikator dengan skor terendah. Kesimpulan dari penelitian ini adalah minat belajar matematika siswa dipengaruhi oleh interaksi antara faktor internal dan eksternal, sehingga penguatan aspek tertentu dapat meningkatkan semangat belajar siswa secara keseluruhan.

A Analisis Penalaran Aljabar Siswa SMA Melalui Soal Pola Bilangan Aritmatika Berbasis Representasi Visual

2026-01-02T01:50:19+00:00

Background:Mathematics, especially algebraic reasoning, plays a crucial role in developing logical and systematic thinking skills. However, students often struggle to translate concrete patterns into abstract algebraic forms, indicating a gap between visual understanding and symbolic expression. The use of visual media in arithmetic sequence problems has proven effective in strengthening the connection between concrete and abstract concepts. This observation aims to examine students' thought processes in constructing reasoning from observed patterns and their ability to express them in algebraic symbols.Objectif : This study aims to explore students' thought processes in understanding and solving visual pattern-based mathematics problems, specifically in observing patterns, constructing reasoning, and expressing mathematical ideas into algebraic forms.Methods :The observation was conducted at SMA Negeri 1 Sugihwaras from June 10-16, 2025. The subjects were two students (Muhammad Fahmi Saputra and Anna Althofun Nisa’). Data were collected through visual pattern problem sheets (arithmetic sequence dot patterns), observation guidelines, and interview guidelines. Data were analyzed qualitatively, focusing on pattern generalization, logical argumentation, and symbolic expression. Results:Both students demonstrated good pattern generalization abilities, identifying the pattern of adding 4 dots and recognizing it as an arithmetic sequence. They also showed sufficient logical reasoning, explaining the steps and reasons for using the formula, and performing trials. However, both students still faced difficulties in formal expression, such as the inconsistent and not entirely accurate symbolic writing of the formula Un=a+(n−1) × b. Conclusion: Students' generalization and logical reasoning abilities are well-developed, but formal expression in algebraic symbols remains a challenge. Visual learning is helpful, but it needs to be balanced with practice in writing formal formulas to enhance overall algebraic reasoning.

Profil Kemampuan Pemecahan Masalah Siswa SMP Islam Sabilurrosyad pada Materi Persamaan Linear Satu Variabel Berdasarkan Teori APOS DItinjau dari Self-Efficacy

2026-01-03T11:16:30+00:00

Most students are not able to solve problems well. Although students' math scores are quite good, their ability to solve math problems is actually still lacking. The theory of action, process, object, and scheme functions as one of the theories used to analyze math problem solving based on action, process, object, and scheme. The purpose of This study was to describe the profile of problem-solving abilities of students at Sabilurrosyad Islamic Junior High School on the material of one-variable linear equations based on the theory of action, process, object, and scheme reviewed from the high and low categories of self-efficacy. This study uses a qualitative approach with a case study research type. The subjects of this study consisted of six students representing each high and low self-efficacy category. The data collection techniques used were tests and interviews. The main instrument of this study was the researcher himself who was assisted by other supporting instruments in the form of problem-solving ability test sheets and task-based interview guidelines. The data analysis technique of this study used an interactive model according to Miles and Huberman, namely data reduction, data display, and drawing conclusions. The credibility test of this study used triangulation techniques and increased persistence. The results of the study indicate that, 1) students with high self-efficacy are able to meet all indicators of students' problem-solving abilities in the material of linear equations of one variable based on the theory of action, process, object, and scheme. Students with high self-efficacy solve mathematical problems through the stages of action, process, object, and scheme. However, at the scheme stage they are unable to write conclusions; 2) students with low levels of self-efficacy, although able to pass the stages of the theory of action, process, object, and scheme, show limitations at the stages of object and scheme. At the previous object stage, students were unable to find other objects. Thus, at the scheme stage, students have not been able to connect information from the action, process, object stages correctly. Thus, the following findings indicate that the theory of action, process, object, and scheme can be used as a reference in a more optimal learning and assessment model to improve students' ability to solve mathematical problems.

Keywords: Problem Solving Ability, Single Variable Linear Equation System, APOS Theory, Self-Efficacy.

Analisis Kemampuan Literasi Matematika Mahasiswa Dalam Menyelesaikan Soal UAS Mata Kuliah Matematika Sekolah SMA/ SMK

2026-01-04T02:30:00+00:00

Mathematical literacy is an essential competency for students in the Mathematics Education study program, particularly in understanding and solving mathematics problems at the high school/vocational school level. Mathematical literacy encompasses not only the ability to perform calculations, but also the ability to formulate, apply, and interpret mathematical concepts in the context of real problems. This study aims to describe students' mathematical literacy skills in solving Final Semester Exam (UAS) questions for the Mathematics course in high school/vocational school. The type of research used is descriptive with a qualitative approach. The study population was fifth-semester Mathematics Education study program students, with three subjects representing high, medium, and low ability levels, selected by random sampling and having taken the UAS for the related course. The research instruments included test questions and interview guidelines, while data collection techniques included test results, interviews, and documentation. Data analysis was carried out through triangulation with three stages: reduction, presentation, and drawing conclusions. The results showed that the average mathematical literacy ability of students was at a moderate level (average score of 67). High-ability students mastered the aspects of formulate, employ, and interpret, medium-ability students only mastered employ and interpret, while low-ability students had not mastered all three aspects adequately. This finding emphasizes the need for learning strategies that focus more on strengthening the formulating aspect, so that all students are able to understand, formulate, and interpret mathematical concepts comprehensively.

KESALAHAN SISWA SMP DALAM MENYELESAIKAN SOAL CERITA SISTEM PERSAMAAN LINEAR DUA VARIABEL BERDASARKAN TEORI NEWMAN’S ERROR

2026-01-05T02:50:30+00:00

KESALAHAN SISWA SMP DALAM MENYELESAIKAN SOAL CERITA SISTEM PERSAMAAN LINEAR DUA VARIABEL BERDASARKAN TEORI NEWMAN’S ERROR

Ulum Rosyidah Muhaimin¹, Ulfa Masamah²

Tadris Matematika, FITK, UIN Maulana Malik Ibrahim Malang

ulumrosyidah1@gmail.com, ulfamasamah@uin-malang.ac.id

ABSTRACT

This research aims to analyze junior high school students' errors in solving System of Linear Equations in Two Variables (SPLDV) story problems using Newman's Error Analysis (NEA). Errors in understanding, transformation, process skills, and drawing conclusions are errors that are analyzed. Six class IX-A students at MTs Modern Al-Rifa'ie Gondanglegi took part in this qualitative research using case study research. Tests and semi-structured interviews were used to collect data and the Miles and Huberman model was used for analysis. Research shows that high-ability students often make mistakes related to transformation and process skills. Although low-ability students made errors in almost every category, moderate-ability students also made coding errors. These findings emphasize the need for intensive guidance in understanding, transforming and resolving SPLDV story problems.