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ALJABAR: TANTANGAN BESERTA PEMBELAJARANNYA Wijaya, Ariyadi
Jurnal Gantang Vol 1 No 1 (2016): "Matematika, Permasalahan, dan Solusinya dalam Meningkatkan Kualitas Pembelajara
Publisher : Program Studi Pendidikan Matematika, Fakultas Keguruan dan Ilmu Pendidikan Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1033.685 KB) | DOI: 10.31629/jg.v1i1.1

Abstract

DIAGNOSING STUDENTS’ LEARNING DIFFICULTIES IN THE EYES OF INDONESIAN MATHEMATICS TEACHERS Wijaya, Ariyadi; Retnawati, Heri; Setyaningrum, Wahyu; Aoyama, Kazuhiro; Sugiman, Sugiman
Journal on Mathematics Education Vol 10, No 3 (2019)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (478.028 KB) | DOI: 10.22342/jme.10.3.7798.357-364

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Teachers’ diagnostic practice on students-difficulties is one of the important steps in designing and managing classroom lessons. The purpose of this study was to explore teachers’ perception and practices regarding diagnosing students’ learning difficulties. The participants of the study were 28 Indonesian mathematics teachers of Junior High School. The data was collected through a Focus Group Discussion and a teacher questionnaire. The data were analyzed qualitatively to describe how the teachers perceive learning difficulties and how the teachers diagnosed students’ learning difficulties. The results of the analysis reveal that the teachers do not yet perform an in-depth diagnosis of students’ difficulties in learning mathematics. The teachers only focus on the mathematics topics and non-mathematical issues, instead of on students’ thinking process. The teachers also do not differentiate the diagnosis, evaluation, and prediction test. With regard to the strategies used by the teachers to diagnose students’ difficulties, analyzing students’ responses to tests was the majority. In this respect, observing students’ learning process during classroom activities is rarely done by the teachers in the purpose of diagnosing students’ learning difficulties. The results of the diagnosis are mainly used as the basis for remedial and drill and practices. The results imply that more support is needed for teachers to improve their competences particularly in diagnosing students’ thinking process difficulties when learning mathematics.
COMPARING MODEL-BUILDING PROCESS: A MODEL PROSPECTIVE TEACHERS USED IN INTERPRETING STUDENTS’ MATHEMATICAL THINKING Sapti, Mujiyem; Purwanto, Purwanto; Irawan, Edy Bambang; As'ari, Abdur Rahman; Sa'dijah, Cholis; Susiswo, Susiswo; Wijaya, Ariyadi
Journal on Mathematics Education Vol 10, No 2 (2019)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.10.2.7351.171-184

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Mathematical thinking is an important aspect of mathematics education and, therefore, also needs to be understood by prospective teachers. Prospective teachers should have the ability to analyze and interpret students’ mathematical thinking. Comparing model is one of the interpretation models from Wilson, Lee, and Hollebrands. This article will describe the prospective teacher used the model of the building process in interpretation students' mathematical thinking. Subjects selected by considering them in following the students’ strategies in solving the Building Construction Problem. Comparing model is a model of interpretation in which a person interprets student thinking based on student work. There are two types comparing model building process prospective teacher use in interpreting students’ mathematical thinking ie. comparing work and comparing knowledge. In comparing works, prospective teachers use an external representation rubric. This is used to analyze student activities in order to provide an interpretation that is comparing the work of students with their own work. In comparing knowledge, prospective teachers use internal representation rubrics to provide interpretation by comparing the students' work with their knowledge or thought.
Students' Information Literacy: A Perspective from Mathematical Literacy Wijaya, Ariyadi
Journal on Mathematics Education Vol 7, No 2 (2016)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (462.724 KB) | DOI: 10.22342/jme.7.2.3532.73-82

Abstract

Information literacy is mostly seen from the perspective of library science or information and communication technology. Taking another point of view, this study was aimed to explore students' information literacy from the perspective of mathematical literacy. For this purpose, a test addressing Programme for International Student Assessment (PISA) mathematics tasks were administered to 381 eighth and ninth graders from nine junior high schools in the Province of Yogyakarta. PISA mathematics tasks which were used in this test had specific characteristics regarding information processing, i.e. containing superfluous information, having missing information, and requiring connection across information sources. An error analysis was performed to analyze students’ incorrect responses. The result of this study shows that students did not acquire three characteristics of information literacy; i.e. recognizing information needs, locating and evaluating the quality of information, and making effective and ethical use of information. This result indicates students' low ability in information literacy.Keywords: information literacy, mathematical literacy, Programme for International Student Assessment (PISA)
A LEARNING TRAJECTORY FOR PROBABILITY: A CASE OF GAME-BASED LEARNING Wijaya, Ariyadi; Elmaini, Elmaini; Doorman, Michiel
Journal on Mathematics Education Vol 12, No 1 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.1.12836.1-16

Abstract

This research is aimed to describe a learning trajectory for probability through game-based learning. The research employed design research consisting of three stages: preparing for the experiment, design experiment, and retrospective analysis. A hypothetical learning trajectory (HLT) using Sudoku and Snake-and-ladder games was developed by collecting data through documentation, interviews, and classroom observations. The HLT was implemented in the classroom to investigate students’ actual learning trajectory. The results of this research indicate that the games helped students understand the concept of probability. The learning trajectory for probability based on game-based learning is seen from the perspective of four levels of emergent modeling. In the first level – ‘situational level’ – Sudoku and Ladder-and-Snake games were played by students. The second level is the ‘referential level’ where the rules of the games were used as a starting point to learn the concept of probability. Communication during game playing stimulated students' knowledge about random events, sample spaces, sample points, and events. At the third level – ‘general level’ – students used tree and table diagrams to generalize possible outcomes of an experiment and develop an understanding of sample spaces and sample points. Lastly, at the ‘formal level’ students developed their informal knowledge into formal concepts of probabilities.
THE POWER OF GAMES TO LEARN MATHEMATICS: AN OVERVIEW Ariyadi Wijaya
PYTHAGORAS Jurnal Pendidikan Matematika Vol 5, No 1: Juni 2009
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (189.922 KB) | DOI: 10.21831/pg.v5i1.552

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The central principle of Realistic Mathematics Education is that the learning of mathematics needs to be laid on meaningful situation; either meaningful problems or activities. Many researches found that activities of game playing are meaningful to students and can be effective tools for enhancing learning and understanding of complex subject matter. Consequently, this article focuses on the benefit of games to support the learning of mathematics and the role of teacher in conducting game-based learning.Keywords : Realistic Mathematics Education, game-based learning, the role of teacher
Keefektifan pembelajaran matematika realistik ditinjau dari kemampuan pemodelan matematika dan prestasi belajar Eki Rahmad; Ariyadi Wijaya
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 1: June 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i1.34593

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Tujuan penelitian ini adalah untuk menguji perbedaan keefektifan antara pembelajaran mate­matika realistik dan pembelajaran ekspositori ditinjau dari kemampuan pemodelan matematika dan prestasi belajar siswa SMP. Penelitian ini adalah penelitian quasi-experiment menggunakan pretest-posttest nonequivalent control group design. Populasi dalam penelitian ini adalah siswa kelas VIII SMP Negeri 15 Yogyakarta yang terdiri atas 10 kelas dan dipilih secara acak dua kelas yaitu siswa kelas VIII C (kelas eksperimen, n = 33) dan siswa kelas VIII F (kelas kontrol, n = 33) sebagai sampel penelitian. Instrumen yang digunakan dalam penelitian ini adalah tes uraian untuk mengukur kemampuan pemodelan matematika dan tes pilihan ganda untuk mengukur prestasi belajar siswa. Uji statistik menggunakan analisis multivariat Hotelling’s Trace pada taraf signifikansi 5% dilakukan untuk menguji hipotesis penelitian. Hasil penelitian menunjukkan bah­wa pembelajaran matematika realistik lebih baik dari pembelajaran ekspositori ditinjau dari kemampuan pemodelan matematika dan prestasi belajar siswa.Effectivity of realistic mathematics education viewed from mathematics modelling competence and learning achievementAbstractThe purpose of this study was to examine the difference in effectiveness between realistic mathematics education and expository learning viewed from mathematical modelling compe­tence and achievement of junior high school students. This study was quasi-experiment research with the pretest-posttest nonequivalent control group design. This study's population was the 8th-grade students of SMP Negeri 15 (junior high school) in Yogyakarta, Indonesia, consisting of ten classes. The sample in this study was the students of class VIII C (experiment group, n = 33) and VIII F (control group, n = 33) selected randomly. In this study, the instruments used were essay questions to measure mathematics modelling competence and multiple-choice questions to measure learning achievement. Statistical test using the Manova with the Hotelling's Trace test at a significance level of 5% was conducted to examine the hypothesis. The results showed that realistic mathematics education was better than expository learning viewed from students' ma­thematics modelling competence and learning achievement.
Hubungan pedagogical content knowledge guru matematika dan prestasi belajar siswa sekolah menengah pertama Maria Evarista Oktaviane Barut Barut; Ariyadi Wijaya; Heri Retnawati
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 2: December 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i2.35375

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Guru telah dikenal luas sebagai salah satu faktor penting yang mempengaruhi prestasi belajar siswa. Kompetensi guru, khususnya pengetahuannya, membantu guru untuk mengorganisasi­kan pem­belajaran yang efektif guna memfasilitasi keberhasilan belajar siswa. Salah satu jenis penge­tahuan yang penting dikuasai oleh guru adalah Pedagogical Content Knowledge (PCK). PCK merupakan kombinasi pengetahuan konten dan pedagogi yang mengarah pada bagaimana aspek-aspek tertentu dari materi pembelajaran diatur, diadaptasi, dan direpresentasikan untuk diterapkan di dalam proses pembelajaran. Penelitian ini bertujuan untuk mendeskripsikan ting­kat PCK guru matematika dan prestasi belajar siswa, serta menguji hubungan keduanya. Pene­litian ini adalah kuantitatif-korelasional dengan subjek penelitian 56 guru mate­matika dan 499 siswa SMP di Kabupaten Manggarai, Nusa Tenggara Timur. Data PCK guru dan prestasi siswa dikumpulkan menggunakan tes objektif yang telah dinyatakan valid dan reliabel. Data dianalisis menggunakan statistik deskriptif dan inferensial. Hasil penelitian mengungkapkan bahwa seba­gian besar guru memiliki PCK pada kategori rendah dan sebagian besar siswa memiliki prestasi belajar pada kategori rendah. Namun demikian, terdapat korelasi positif yang signifikan antara PCK guru mate­matika dan prestasi belajar siswa dengan kontribusi PCK guru terhadap prestasi belajar siswa sebesar 16,1%. Relationship between pedagogical content knowledge of mathematics teacher and learning achievement of junior high school studentsAbstractTeachers’ competence, especially their knowledge, helps them organize effective classrooms to facilitate students’ success. One of the essential knowledge that should be mastered by a teacher is Pedagogical Content Knowledge (PCK). PCK represents the combination of knowledge about content and pedagogy to understand how particular aspects of subject matter are organized, adapted, and represented for instruction. This study aimed to describe mathe­matics teachers’ PCK and students’ learning achievement as well as and between the two variables. The study was qualitative-correlational with 56 mathema­tics teachers and 499 senior high school students in Manggarai Regency, East Nusa Tenggara, Indonesia, as the subject. Both data of teachers’ PCK and students’ learning achievement were collected using validated and reliable objective tests. Data were analyzed using descriptive and inferen­tial statistics. The results indicated that most teachers have PCK in the low category, and most stu­dents have learning achievement in the low category. However, there was a positive correlation between teachers’ PCK and students’ learning achievement, with the contribution of the teachers’ PCK to students’ learning achieve­ment by 16,1%.
A LEARNING TRAJECTORY FOR PROBABILITY: A CASE OF GAME-BASED LEARNING Ariyadi Wijaya; Elmaini Elmaini; Michiel Doorman
Journal on Mathematics Education Vol 12, No 1 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.1.12836.1-16

Abstract

This research is aimed to describe a learning trajectory for probability through game-based learning. The research employed design research consisting of three stages: preparing for the experiment, design experiment, and retrospective analysis. A hypothetical learning trajectory (HLT) using Sudoku and Snake-and-ladder games was developed by collecting data through documentation, interviews, and classroom observations. The HLT was implemented in the classroom to investigate students’ actual learning trajectory. The results of this research indicate that the games helped students understand the concept of probability. The learning trajectory for probability based on game-based learning is seen from the perspective of four levels of emergent modeling. In the first level – ‘situational level’ – Sudoku and Ladder-and-Snake games were played by students. The second level is the ‘referential level’ where the rules of the games were used as a starting point to learn the concept of probability. Communication during game playing stimulated students' knowledge about random events, sample spaces, sample points, and events. At the third level – ‘general level’ – students used tree and table diagrams to generalize possible outcomes of an experiment and develop an understanding of sample spaces and sample points. Lastly, at the ‘formal level’ students developed their informal knowledge into formal concepts of probabilities.
Students' Information Literacy: A Perspective from Mathematical Literacy Ariyadi Wijaya
Journal on Mathematics Education Vol 7, No 2 (2016)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (462.724 KB) | DOI: 10.22342/jme.7.2.3532.73-82

Abstract

Information literacy is mostly seen from the perspective of library science or information and communication technology. Taking another point of view, this study was aimed to explore students' information literacy from the perspective of mathematical literacy. For this purpose, a test addressing Programme for International Student Assessment (PISA) mathematics tasks were administered to 381 eighth and ninth graders from nine junior high schools in the Province of Yogyakarta. PISA mathematics tasks which were used in this test had specific characteristics regarding information processing, i.e. containing superfluous information, having missing information, and requiring connection across information sources. An error analysis was performed to analyze students’ incorrect responses. The result of this study shows that students did not acquire three characteristics of information literacy; i.e. recognizing information needs, locating and evaluating the quality of information, and making effective and ethical use of information. This result indicates students' low ability in information literacy.Keywords: information literacy, mathematical literacy, Programme for International Student Assessment (PISA)