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All Journal International Journal of Evaluation and Research in Education (IJERE) Journal of Education and Learning (EduLearn) AKSIOMA: Jurnal Program Studi Pendidikan Matematika Prisma Sains: Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Eduma : Mathematics Education Learning and Teaching
Abdul Halim Abdullah
Universiti Teknologi Malaysia
Humanities Biochemistry, Genetics & Molecular Biology Earth & Planetary Sciences Education Electrical & Electronics Engineering Energy Engineering Environmental Science Library & Information Science Mathematics Physics Social Sciences Other

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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.
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.
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.
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 UIN Siber 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
Students’ perceptions of mathematics collaborative problem-solving session (MCPSS) at the foundation level George Tan Geok Shim; Abdul Halim Abdullah; Ahmad Alif Kamal
International Journal of Evaluation and Research in Education (IJERE) Vol 15, No 3: June 2026
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijere.v15i3.38475

Abstract

Collaborative problem-solving (CPS) skills are a vital component for students, especially in preparing them for future endeavors. It combines elements of collaborative and problem-solving skills into a single skill, emphasizing students’ ability to work together efficiently to solve everyday problems. While many studies have emphasized the importance of CPS, there remains a lack of research on students’ perceptions of its implementation in teaching and learning. The objective of the study is to determine students’ perceptions towards the mathematics collaborative problem-solving session (MCPSS) at a foundation center in Malaysia. The study utilized the mixed-method approach, using both a questionnaire and an interview to collect the data. The study sample consisted of 140 students randomly selected for a foundation center. Data from the study were analyzed using descriptive and thematic analysis. The study’s findings showed that most students held positive perceptions of the implementation of MCPSS in the mathematics course, with the majority of responses being between agreeing and strongly agreeing with the items related to meaningful learning, reflective learning, teamwork, and communication skills in MCPSS (SD=0.74–1.20). The outcome of the survey highlighted the overall acceptance of the students in the implementation of MCPSS in the mathematics foundation course.
Developing STEAM-Based Digital Mathematics Teaching Materials to Enhance Creativity Mutmainnah Mutmainnah; Sitti Fitriani Saleh; Abdul Halim Abdullah; Jumrah Jumrah; Nurwanda Nurwanda; Ahmadhani Ahmadhani
Prisma Sains : Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Vol. 14 No. 2: April 2026
Publisher : Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/j-ps.v14i2.18609

Abstract

This study was motivated by the low level of creativity among elementary school students in mathematics learning, which is still largely dominated by conventional methods and rote memorization. The aim of this study was to develop digital mathematics teaching materials based on the STEAM approach (Science, Technology, Engineering, Arts, and Mathematics) to enhance students' creativity. This study employed a Research and Development (R&D) design using the ADDIE model, which consists of Analysis, Design, Development, Implementation, and Evaluation. The analysis stage was conducted through classroom observations and interviews to identify learning needs. The developed product was validated by education experts, subject-matter experts, and STEAM experts, and was subsequently tested for practicality by teachers and students, as well as for effectiveness through the implementation of STEAM-based digital mathematics teaching materials at Lab School SD Unismuh Makassar. The results of the needs analysis indicated a demand for more interactive learning strategies and media that could help students understand concepts visually and contextually. The design of STEAM-based digital mathematics teaching materials in elementary schools is not only oriented toward academic outcomes, but also toward shaping students' character, creativity, and 21st-century skills. The evaluation results from the three validators (education expert, subject-matter expert, and STEAM expert) showed an average score of 3.28 or 85.56%, which falls into the very valid category. The practicality test involving teachers and students yielded an average score of 3.3 or 82.5%, which falls within the interval of 70% ≤ P < 85% and is categorized as practical. This indicates that the teaching materials were considered easy to use, clear, and relevant to students' learning needs. The implementation results showed a significant improvement. The analysis demonstrated that STEAM-based digital mathematics teaching materials contributed to an increase in students' creativity. Descriptively, the mean creativity score increased from 2,799 (pretest) to 3,399 (posttest). This improvement was also supported by a class N-gain score of 0.500 (moderate category), indicating a meaningful improvement in learning from an educational perspective. Furthermore, the paired-sample difference test revealed a significant difference between the pretest and posttest results (Sig. 2-tailed = 0.002 < 0.05), confirming that the use of STEAM-based digital teaching materials had a significant effect on improving students' creativity.
Attitude towards learning school geometry: an exploratory and confirmatory factor analysis in the Nigerian context Muhammad Nasiru Hassan; Muhammad Ammar Naufal; Abdul Halim Abdullah
Journal of Education and Learning (EduLearn) Vol 20, No 1: February 2026
Publisher : Intelektual Pustaka Media Utama

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/edulearn.v20i1.23545

Abstract

Attitude is a critical factor influencing students’ success in learning geometry and mathematics, which has been a subject of global interest in educational research. This study aimed to develop a valid and reliable instrument to measure students’ attitudes toward learning geometry in Nigeria, based on the affective, behavioral, and cognitive (ABC) model. The instrument was tested on a sample of 100 secondary school students in Nigeria. To ensure its validity, both exploratory factor analysis (EFA) and confirmatory factor analysis (CFA) were employed. The EFA results indicated a three-factor structure consisting of 20 items, which was further verified through CFA, showing good model fit indices and supporting the instrument’s robustness. The reliability of the instrument was also confirmed, with Cronbach’s alpha coefficients ranging from 0.73 to 0.89, suggesting strong internal consistency across the three attitude components. The findings indicate that the developed instrument is a reliable and valid tool for assessing secondary school students’ attitudes toward geometry, capturing their emotional, behavioral, and cognitive responses to the subject. This study contributes significantly to the field of mathematics education by offering a context-specific tool for measuring attitudes, which could inform the development of more effective teaching strategies tailored to students’ attitudes toward geometry.
Co-Authors Abdur Rahman As’ari Ahmad Alif Kamal Ahmadhani Ahmadhani Anggara Dwinata Audi Yundayani Cholis Sa’dijah Emy Yunita Rahma Pratiwi, Emy Yunita Rahma Fiki Alghadari George Tan Geok Shim Habibullah Habibullah Hisyam Ihsan Jumrah Jumrah Mohd Salleh Abu Muhamad Rizky Al Gafari Muhammad Ammar Naufal Muhammad Nasiru Hassan Muhammad Nasiru Hassan Mutmainnah Mutmainnah Norulhuda Ismail Nurul Shida Nurwanda Nurwanda Rondiyah Rondiyah Sharifah Osman Shelly Lubis Sitti Fitriani Saleh Wahyu Setyaningrum