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All Journal International Journal of Evaluation and Research in Education (IJERE) AKSIOMA JURNAL PENDIDIKAN MATEMATIKA Eduma : Mathematics Education Learning and Teaching Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Jurnal Kajian Pembelajaran Matematika
Abdul Halim Abdullah
Universiti Teknologi Malaysia
Education Mathematics

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Reviewing the Van Hiele model and the application of metacognition on geometric thinking Muhammad Ammar Naufal; Abdul Halim Abdullah; Sharifah Osman; Mohd Salleh Abu; Hisyam Ihsan; Rondiyah Rondiyah
International Journal of Evaluation and Research in Education (IJERE) Vol 10, No 2: June 2021
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijere.v10i2.21185

Abstract

Metacognition, or the ability to think about thinking, is essential in the development of geometric thinking. However, studies on the Van Hiele model and the application of metacognition on geometric thinking are still under-researched. This study aimed to provide a review of the Van Hiele model and the application of metacognition on geometric thinking. A total of 844 articles were retrieved through internet search engines from 1995 to 2020 and manually selected and reviewed systematically. The keywords used related to the Van Hiele model, metacognition, and geometric thinking. The findings that emerged from the review were categorized into two main themes which were the effectiveness of the Van Hiele model towards geometric thinking and the effectiveness of the application of metacognition on geometric thinking. Most articles revealed the positive indication of the geometric thinking development through the Van Hiele model intervention. It also seems that the potential of the application of metacognition in the Van Hiele model can strengthen geometric thinking development. Researchers and educators may find this knowledge useful in conducting empirical studies and developing learning instructions based on the application of metacognition in the development of geometric thinking.
Students’, Pre-Service Mathematics Teachers’, and In-Service Mathematics Teachers’ Perception on Calculus Learning Video Shelly Lubis; Wahyu Setyaningrum; Abdul Halim Abdullah; Muhamad Rizky Al Gafari; Habibullah Habibullah
Eduma : Mathematics Education Learning and Teaching Vol 10, No 2 (2021)
Publisher : Jurusan Tadris Matematika IAIN Syekh Nurjati Cirebon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24235/eduma.v10i2.8599

Abstract

Calculus is a branch of mathematics that must be studied in school, especially at the high school level. One of the subjects in calculus is the application of integral on the volume of solid of revolution. The use of learning video as media can help students in a conceptual understanding of the volume of solid of revolution, which is one of the abstract objects in calculus. This article discusses the development of solid revolution learning videos' volume. It describes students' perception, pre-service mathematics teachers, and in-service mathematics teachers in the video. The subjects who participated in this study were 48 students in grade 12 in one state high school in Sambas Regency, West Borneo, 8 pre-service mathematics teachers of one of the universities in Yogyakarta, and 3 high school mathematics teachers in Sambas Regency. Data were collected by using a questionnaire consisting of several open questions. Through open questions, subjects were intended to express their ideas or opinions about the learning video. The finding showed that most respondents have positive perceptions of calculus learning video. 76,74% of students agree that the video is suitable for use at the beginning of learning this subject; all in-service mathematics teachers agree, and 75% of pre-service mathematics teachers also agree. This indicates that the learning video can be used as one of the teaching aids in the learning of solid revolution
Design and development of critical thinking learning strategy in integral calculus Nurul Shida; Abdul Halim Abdullah; Sharifah Osman; Norulhuda Ismail
International Journal of Evaluation and Research in Education (IJERE) Vol 12, No 1: March 2023
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijere.v12i1.23779

Abstract

Difficulty in understanding problem solving is due to the absence of critical thinking. Students lack knowledge in assessing critical thinking during problem solving. Hence, there is a need to study critical thinking infused through a learning strategy to enhance problem solving. Critical thinking (CThink) is a learning strategy designed which combines critical thinking and Integral Calculus. The development process of CThink combines the critical thinking process and questioning for critical thinking using the analysis, design, development, implementation, and evaluation (ADDIE) model. In the learning strategy, questions were applied based on CThink processes which consist of interpretation, analysis, inference, evaluation, explanation, and self-regulation. Besides, different questioning for CThink is presented based on the critical thinking process. CThink has achieved a content validity of 94.12% with a coefficient value of 0.94, and the value is above 70% or 0.70. Based on the result, the contents in the CThink are considered of good validity. From the calculation of the percentage from the expert given score, CThink has achieved the validity measurement for the language of 97.50% with a coefficient value of validity is 0.975, which is above 70 or 0.70. Based on the result, the activities and syllabus used in CThink achieved good validity measurements. The experts concluded that this CThink meets the content of Integral Calculus, in line with the level of polytechnic students, allowing students to think critically to solve problems as well as activities in CThink help to enhance student problem solving.
Rethinking strategy on developing students’ levels of geometric thinking in Sokoto state, Nigeria Muhammad Nasiru Hassan; Abdul Halim Abdullah; Norulhuda Ismail
International Journal of Evaluation and Research in Education (IJERE) Vol 12, No 1: March 2023
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijere.v12i1.23531

Abstract

Geometric thinking skills remained a topical issue in mathematics education. The purpose of this research is to investigate the van Hiele levels of geometric thinking skills of the students in Sokoto state to provide a clear picture of the students’ levels for the appropriate development of learning activities, and better understanding. The study involves three mathematics teachers and 200 students (100 students each of basic and senior secondary school students). The samples of the teachers were purposely selected and students were randomly selected. There were two instruments used in the study; interviews for the mathematics teachers while a van Hiele test for geometric thinking was adopted to collect data for the students’ van Hiele levels of thinking. Thematic analysis (for teachers’ interview), descriptive, and Mann-Whitney U test for the analysis of students’ van Hiele levels of thinking was used. The result shows that all the teachers indicate that the traditional approach is the dominant method used in teaching and learning and that students in the state lack basic skills in school geometry. Also, the result indicated that the majority of students sample among Basic and Senior secondary schools in Sokoto state were operating at level 0 respectively. Furthermore, a significant difference between the two independent groups was found in favor of senior secondary school students. It is hoped that in the future, educational institutions could use the present research as a guide for the development and design of modules, learning activities based on the van Hiele levels to bridge the gap in the state.
Pengaruh peer tutoring pada kecemasan matematika siswa sekolah menengah pertama Afif Lailatil Fitriyah; Ayu Fitri S. Putri; Miftakhul Ilmi Suwignya Putra; Imam Rofiki; Abdul Halim Abdullah
Jurnal Kajian Pembelajaran Matematika Vol 6, No 2 (2022): JURNAL KAJIAN PEMBELAJARAN MATEMATIKA
Publisher : FMIPA UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um076v6i22022p125-134

Abstract

Tujuan penelitian ini adalah untuk mendeskripsikan pengaruh tutor sebaya (peer tutoring) pada tingkat kecemasan matematika siswa. Sebuah posttest pretest dengan desain kelompok kontrol digunakan di Sekolah Menengah Pertama Negeri 5 Kota Mojokerto. Sebanyak 120 siswa di kelas 7 dan 8 berpartisipasi dalam penelitian ini, yang 60 perempuan dan 60 laki-laki. Siswa secara acak ditugaskan dan didistribusikan secara merata oleh kelompok kontrol (30 siswa) dan kelompok eksperimen (90 siswa). Data kuantitatif diperoleh dengan Skala Kecemasan Matematika yang telah dikembangkan. Informasi kualitatif dikumpulkan selama sepuluh sesi pembelajaran yang diadakan guru matematika dengan siswa. Dua faktor utama dianalisis dengan menggunakan informasi kuantitatif dan kualitatif: kecemasan belajar matematika serta kecemasan evaluasi matematika. Hasil dianalisis berdasarkan jenis kelamin dan jenis kelas. Peningkatan yang signifikan secara statistik dilaporkan untuk peserta didik laki-laki dan perempuan dalam kelompok eksperimen. Tidak ada perbedaan yang signifikan secara statistik dilaporkan untuk peserta didik dalam kelompok kontrol dalam hal apapun. Kesimpulan utama adalah bahwa peer tutor sangat bermanfaat untuk mengurangi kecemasan matematika siswa sekolah menengah, terlepas dari jenis kelamin atau jenis kelas peserta didik.
CORRESPONDENCE BETWEEN MODELS AND FACTORS OF STUDENT ERRORS IN SOLVING CONTEXTUAL PROBLEMS Fiki Alghadari; Audi Yundayani; Abdul Halim Abdullah
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 11, No 4 (2022)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (191.724 KB) | DOI: 10.24127/ajpm.v11i4.4946

Abstract

The acquisition of knowledge assists students in navigating life, but their skill configuration is unstable when confronted with contextual problems. The fact that they make problem-solving errors is a stability problem that stems from existential situations. This study examined students' errors in solving contextual math word problems. The respondents were 36 Jakarta junior high school students. This work employs an existential design informed by phenomenology to lessen the connection between the model and error-causing. Newman's strategy found various types of errors. The researchers then investigated the error model and the root causes of the detected errors through interviews. According to the ontological investigation, seven correspondences were discovered between the error models and the causative factors, namely comprehension, transformation, and process skills, so that the origin of occurrences remained unchanged. Deficiencies in process skills cause the majority of correspondence. The phenomenological reduction of the correspondence demonstrates that students are not always engaged in higher-order thinking and tend to concentrate on the procedural knowledge learning process. It can be concluded that the learning process must encourage students' higher-order thinking. When students learn and gain experience through misunderstandings and transformations, they will demonstrate constructive efforts and computational thinking by troubleshooting the problem-solving strategy. Pengetahuan memfasilitasi siswa dalam menghadapi kehidupan, tetapi konfigurasi kemampuan mereka belum mantap ketika dihadapkan pada tantangan kontekstual. Siswa membuat kesalahan dalam penyelesaian adalah masalah stabilitas yang bersumber dari kondisi eksistensial. Penelitian ini bertujuan untuk mengevaluasi kesalahan siswa dalam penyelesaian soal cerita matematika pada setting kontekstual. Responden adalah 36 siswa MTs di Jakarta. Penelitian ini menggunakan desain eksistensial pada perspektif fenomenologis untuk mereduksi korespondensi antara model dan faktor penyebab kesalahan. Jenis kesalahan diidentifikasi dengan pendekatan Newman, kemudian peneliti mengeksplorasi model kesalahan dan faktor penyebab dari jenis-jenis kesalahan yang teridentifikasi melalui wawancara. Hasil penelitian menemukan tujuh korespondensi antara model kesalahan dengan faktor penyebabnya adalah pemahaman, transformasi, dan keterampilan proses, sehingga sumber kejadian menurut kajian ontologis juga tetap konstan. Mayoritas korespondensi dihasilkan dari kesalahan keterampilan proses. Reduksi fenomenologis dari korespondensi tersebut mengungkapkan bahwa siswa tidak selalu terlibat dalam pemikiran tingkat tinggi dan cenderung menitikberatkan proses pembelajaran pada pengetahuan prosedural. Dapat disimpulkan bahwa proses pembelajaran harus mendorong berpikir tingkat tinggi siswa. Ketika siswa belajar dan memperoleh pengalaman melalui kesalahpahaman dan transformasi, mereka akan mendemonstrasikan upaya konstruktif dan pemikiran komputasi dengan pemecahan masalah strategi pemecahan masalah.
THE DEVELOPMENT OF FOOD PRODUCTION TEACHING MATERIALS FOR CLASS III ELEMENTARY SCHOOL STUDENTS Anggara Dwinata; Abdur Rahman As’ari; Cholis Sa’dijah; Abdul Halim Abdullah; Emy Yunita Rahma Pratiwi
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol 7, No 10: OKTOBER 2022
Publisher : Graduate School of Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/jptpp.v7i10.15732

Abstract

This study-aims to obtain contextual-based thematic teaching materials that are suitable and easy for teachers and students to learn. Teaching materials must meet the requirements of validity, practicality, and effectiveness. The teaching material chosen is thematic learning, with the sub-theme of developing food production technology. The contents and contents focus on the food potential of the Tulungagung area. The-research method used in the development of teaching materials is Dick & Carey. The result showed that the teaching materials met very valid criteria based on material expert and learning designs, practical criteria based on teacher and student responses, and effective based on improving student learning outcames.
Unlocking mathematics’ power: interpreting content and context within word problems Abdul Halim Abdullah; Nurain Nadhirah Mohamad; Sitti Fithriani Saleh; Mutmainnah Mutmainnah
International Journal of Evaluation and Research in Education (IJERE) Vol 13, No 4: August 2024
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijere.v13i4.28658

Abstract

Mathematics is a fundamental subject with wide-reaching importance in education, providing students with the tools to apply mathematical principles in diverse contexts. This study examines the abilities of 60 pre-service mathematics teachers (PSTs) in identifying content and context within mathematical word problems. Utilizing a case study approach, the study employed the mathematics word problems test and the content and context questionnaire. The findings reveal that PSTs generally struggle with error detection and content comprehension in mathematical word problems, as demonstrated by their inability to recognize inaccuracies in two of three test questions. The failure of PSTs to identify errors in mathematical word problems often stems from their tendency to rely solely on the solutions they obtain, without first understanding the entire question presented. In essence, they may focus on finding a solution rather than critically evaluating the problem, which can lead to the oversight of errors or inaccuracies within the problem statement itself. This study emphasizes the need for PSTs to grasp mathematical concepts and contextualize them in everyday life scenarios. Challenges were observed in linking computational results to real-world contexts. Thus, the study calls for future research in pre-service teacher education to explore strategies for enhancing critical thinking, error detection, and the integration of practical context in mathematical problem-solving. Furthermore, the study suggests that assessing the ability of PSTs to formulate problem-solving questions evaluates their capacity to answer questions and their ability to construct questions that can enhance students’ cognitive abilities.
Co-Authors Abdur Rahman Asari Afif Lailatil Fitriyah Anggara Dwinata Ayu Fitri S. Putri Cholis Sa’dijah Emy Yunita Rahma Pratiwi Fiki Alghadari Habibullah Habibullah Hisyam Ihsan Imam Rofiki Miftakhul Ilmi Suwignya Putra Mohd Salleh Abu Muhamad Rizky Al Gafari Muhammad Ammar Naufal Muhammad Nasiru Hassan Mutmainnah Mutmainnah Norulhuda Ismail Nurain Nadhirah Mohamad Nurul Shida Rondiyah Rondiyah Sharifah Osman Shelly Lubis Sitti Fithriani Saleh Wahyu Setyaningrum Yundayani, Audi