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An Analysis of Students' Errors in Constructing the Concept of Integer Operations Based on Assimilation and Accommodation Kurniati, Dian; A’yun, Qurrota; Jatmiko, Dhanar Dwi Hary; Pambudi, Didik Sugeng; Oktavianingtyas, Ervin; Sutarto, Sutarto; Osman, Sharifah
Tadris: Jurnal Keguruan dan Ilmu Tarbiyah Vol 10 No 2 (2025): Tadris: Jurnal Keguruan dan Ilmu Tarbiyah
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/tadris.v10i1.26152

Abstract

Errors in constructing concepts often occur in mathematics learning, especially in the topic of integer operations. These errors arise because students tend to memorize procedures or rules without fully understanding the underlying concepts. This research aims to analyze students' errors in constructing the concept of integer operations based on assimilation and accommodation. This study uses a qualitative method with 16 students from class VII B at MTs Baitul Hikmah Tempurejo as subjects. The data collection methods in this study included tests and interviews. Data analysis was carried out through the stages of analyzing test results, conducting interviews, and triangulating the data to ensure validity. Based on the analysis and discussion of the data, it can be concluded that all subjects experienced errors in constructing the concept. Four types of concept construction errors were identified: Pseudo Construction, Construction Hole, Mis-logical Construction, and Mis-analogical Construction. Pseudo Construction occurs when a student merely memorizes phrases like "negative meets negative, the result is positive" without a deeper understanding of the concept. Construction Hole occurs when a student provides incorrect answers due to incomplete understanding or failure to comprehend the problem. Mis-logical Construction happens when a student makes an incorrect assumption or conclusion, while Mis-analogical Construction involves false analogies, such as equating the concept of adding negative numbers with adding positive numbers. The results of this study are expected to provide insights into the types and causes of errors in concept construction made by students, which can then be used as a basis for developing effective learning strategies to help students understand concepts correctly.
Developing a Trigonometry AR Book Using an Ethnomathematics Approach to Improve International Collage Students' Motivation and Learning Outcomes Buchori, Achmad; Nursyahidah, Farida; Prasetyowati, Dina; Osman, Sharifah
Advance Sustainable Science Engineering and Technology Vol. 8 No. 1 (2026): November - January
Publisher : Science and Technology Research Centre Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/asset.v8i1.2372

Abstract

This study presents the development of an Augmented Reality (AR)-based trigonometry learning media integrating ethnomathematics to enhance students’ conceptual understanding and engagement. The AR system was designed using the ADDIE framework, emphasizing the design and development stages, with validation conducted through expert review and limited user trials at Universitas PGRI Semarang (UPGRIS) and Universiti Teknologi Malaysia (UTM). The AR Book integrates local cultural geometries such as traditional architectural patterns and ornaments into interactive 3D visualizations to contextualize trigonometric concepts. The system was developed using Unity 3D and Vuforia SDK, optimized for Android devices. Validation results indicated high content validity (92%) and strong media practicality (88%), while small-scale implementation showed improved student motivation and learning outcomes. Beyond educational outcomes, the research contributes to the advancement of culturally adaptive AR learning media design and demonstrates the potential scalability of ethnomathematics-based AR systems in STEM education.
PROSPECTIVE MATHEMATICS TEACHERS’ MATHEMATIZATION COMPETENCIES IN SOLVING WORD PROBLEMS Hamidah, Dewi; Susiswo, Susiswo; Susanto, Hery; Osman, Sharifah
Jurnal Ilmiah Ilmu Terapan Universitas Jambi Vol. 9 No. 3 (2025): Volume 9, Nomor 3, September 2025
Publisher : LPPM Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/jiituj.v9i3.33211

Abstract

Mathematization competencies among prospective teachers, focusing on their ability to construct and communicate mathematical arguments, are crucial for effective mathematics education. This exploratory study aimed to produce qualitative-descriptive data on prospective teachers' competencies of mathematization in teacher education programs. The study employs word problems based on everyday-life problems that are solved by the mathematization process and assessed based on three indicators of mathematization competencies. The data were collected from three groups of prospective teachers in the first, third, and fifth semesters, respectively, in the mathematics education study program at a public University in Kediri, Indonesia. The findings revealed that while all prospective teachers demonstrated basic skills in identifying assumptions and organizing problems, fifth-year students exhibited better abilities in mathematical argumentation, particularly in generalizing mathematical problems. These advanced abilities included the formulation, analysis, and presentation of proficient mathematical arguments, indicating a deeper understanding and mastery of mathematization that developed progressively throughout their education. The results of this study underscore the importance of sustained and structured learning experiences in mathematics teacher education programs to foster higher-order mathematical competencies. This study enriches the mathematics education literature by illustrating the growth of argumentation skills in mathematization among prospective teachers, highlighting the need for educational curricula that emphasize these advanced skills.
Development of Differentiated Learning Tools with Mathematics Problem Solving Based on ESD to Improve Critical Thinking Skills of Junior High School Students Kurniati, Dian; Rosyidah, Afni Nur; Murtikusuma, Randi Pratama; Pambudi, Didik Sugeng; Lestari, Nurcholif Diah Sri; Osman, Sharifah; Sepeng, Percy
Mosharafa: Jurnal Pendidikan Matematika Vol. 15 No. 1 (2026): January
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v15i1.2440

Abstract

Rendahnya kemampuan berpikir kritis siswa SMP dan keterbatasan perangkat pembelajaran berbasis Education for Sustainable Development (ESD) menjadi latar belakang penelitian ini. Penelitian ini bertujuan mengembangkan perangkat pembelajaran matematika pada materi perbandingan (senilai, berbalik nilai, dan skala) untuk meningkatkan kemampuan berpikir kritis siswa. Menggunakan model pengembangan 4D (Define, Design, Develop, Disseminate), penelitian dilakukan terhadap 32 siswa kelas VII C SMP Negeri 12 Jember. Instrumen pengumpulan data meliputi lembar validasi, observasi keterlaksanaan, tes hasil belajar, dan angket respons siswa. Hasil penelitian menunjukkan perangkat pembelajaran memenuhi kriteria: Valid, dengan rerata 3,92; Praktis, dengan persentase respons siswa 87% dan keterlaksanaan 100%; serta Efektif, dengan peningkatan hasil belajar melalui skor N-Gain sebesar 87%. Simpulan penelitian ini menunjukkan bahwa perangkat pembelajaran berbasis ESD layak digunakan dan berpotensi menjadi alternatif untuk meningkatkan kemampuan berpikir kritis siswa. The low critical thinking skills among junior high school students and the lack of learning resources based on Education for Sustainable Development (ESD) underpin this research. This study aims to develop mathematics learning materials on the topic of ratios—covering direct proportions, inverse proportions, and scales—to enhance students' critical thinking skills. Employing the 4D development model (Define, Design, Develop, Disseminate), the study involved 32 seventh-grade students at SMP Negeri 12 Jember. Data collection instruments included validation sheets, observation forms for instructional implementation, learning achievement tests, and student response questionnaires. The results indicate that the developed materials meet the following criteria: Valid, with an average score of 3.92; Practical, evidenced by an 87% student response rate and 100% instructional implementation; and Effective, demonstrated by an N-Gain score of 87% in learning outcomes. In conclusion, the ESD-based learning materials are feasible for classroom use and serve as a viable alternative to improve students' critical thinking skills.
Design Thinking Approach in the Development of E-Worksheets and AI Videos to Enhance Problem-Solving Skills of Senior High School Students Agustina, Mela; Purwosetiyono, F.X. Didik; Buchori, Achmad; Osman, Sharifah
Mosharafa: Jurnal Pendidikan Matematika Vol. 15 No. 1 (2026): January
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v15i1.3517

Abstract

Penelitian ini bertujuan mengembangkan rancangan e‑worksheet dan video AI melalui pendekatan design thinking untuk meningkatkan pemecahan masalah siswa SMA di Kota Pekalongan. Subjek penelitian terdiri atas 143 siswa dan 14 guru dari beberapa SMA berbeda yang terlibat pada tahap empathize dan define untuk mengidentifikasi profil permasalahan pembelajaran, yang menunjukkan bahwa pemecahan masalah kurang berkembang karena pembelajaran masih abstrak, berfokus pada hafalan, serta minim media interaktif sementara guru terkendala waktu bimbingan. Pada tahap ideate, melalui telaah literatur dan meta‑analisis, dikembangkan gagasan E‑TopWorksheets dengan Pendekatan Matematika Realistik berbantuan Mootion AI; hasil meta‑analisis menunjukkan nilai p<0,001 dengan effect size 0,841 yang menandakan pengaruh signifikan dan kuat penggunaan media serupa terhadap peningkatan pemecahan masalah matematika yang berpotensi menjadi dasar pengembangan media dan memerlukan pengujian lanjutan. Disimpulkan bahwa pendekatan design thinking efektif sebagai kerangka kerja pengembangan prototype media yang kontekstual, adaptif, dan berkontribusi pada inovasi media pembelajaran yang relevan dengan tuntutan pembelajaran abad ke‑21. This study aims to develop a design for e-worksheets and AI-based videos using a Design Thinking approach to enhance the problem-solving skills of Senior High School (SMA) students in Pekalongan City. The research subjects consisted of 143 students and 14 teachers from various high schools who were involved in the empathize and define stages to identify learning problem profiles; findings indicated that problem-solving skills were underdeveloped due to abstract instruction focused on rote learning, a lack of interactive media, and teachers' constraints regarding guidance time. In the ideate stage, through literature review and meta-analysis, the concept of E-TopWorksheets using a Realistic Mathematics Education approach assisted by Mootion AI was developed. The meta-analysis results showed a p-value < 0.001 with an effect size of 0.841, indicating a significant and strong influence of similar media on improving mathematical problem-solving, which potentially serves as a basis for media development and requires further testing. It is concluded that the Design Thinking approach is effective as a framework for developing contextual and adaptive media prototypes, contributing to learning media innovation relevant to 21st-century learning demands.