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AKSIOMA: Jurnal Program Studi Pendidikan Matematika
Published by Universitas Muhammadiyah Metro
ISSN : 20898703     EISSN : 24425419     DOI : -
Core Subject : Education,
Education Mathematics
AKSIOMA JOURNAL, e-ISSN: 2442-5419, p-ISSN: 2089-8703 is an information container has scientific articles in the form of research, the study of literature, ideas, application of the theory, the study of critical analysis, and Islāmic studies in the field of science Mathematics Education. AKSIOMA JOURNAL published two times a year, the period from January to June and July to December, published by the Scientific Publication Unit FKIP University of Muhammadiyah Metro.
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Articles 1,528 Documents
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PENGEMBANGAN DESAIN E-DEDAKTIS MELALUI BAHAN AJAR BERBASIS PROJECT MENGGUNAKAN AUGMENTED REALITY Amelia, Risma; Setiawan, Wahyu; Al-jabar, Sheilla Zalzabilla
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 2 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i2.6845

Abstract

Peranan bahan ajar yang sesuai dengan kebutuhan siswa dapat memudahkan siswa dalam memahami materi. Namun kondisinya di lapangan, bahan ajar pada pembelajaran matematika yang diterapkan masih belum sesuai dengan kebutuhannya. Sehingga siswa kurang dapat memahami materi dan berujung pada tidak maksimalnya capaian pembelajaran. Tujuan penelitian ini yaitu mengembangkan desain e-didaktis melalui bahan ajar elektronik berbasis project menggunakan Augmented Reality, agar pembelajaran terpusat pada siswa dan pembelajaran lebih interaktif sehingga dapat mengkonstruksi penemuan konsep oleh siswa, sehingga siswa lebih mudah memahami materi. Metode penelitian yang digunakan adalah penelitian pengembangan (R&D) yang mengimplementasikan model Borg and Gall. Teknik pengumpulan data dalam penelitian ini yaitu melalui observasi dan angket. Subjek penelitian yaitu siswa SMP kelas VIII. Terdapat 5 ahli sebagai validator diantaranya 2 dosen prodi pendidikan matematika yang terdiri dari 1 orang ahli pembelajaran dan 1 orang ahli media pembelajaran serta 3 guru mata pelajaran matematika SMP. Identifikasi masalah awal melalui analisis hambatan belajar siswa yang dilakukan dengan mengaitkan alur pembelajaran yang dapat dikembangkan dengan membuat alur lintasan belajar (learning trajectory) untuk selanjutnya mendesain e-didaktis. Hasil dari penelitian ini adalah desain e-didaktis melalui bahan ajar elektonik melalui aplikasi flipbook dengan menggunakan Augmented Reality yang dikembangkan sesuai dengan metode penelitian pengembangan model Borg and Gall, berdasarkan hasil analisis validasi bahan ajar dengan rata-rata 3,24 menunjukkan bahan ajar valid dan layak digunakan, dan uji kepraktisan 78%  menunjukkan kriteria praktis untuk digunakan serta 85% menunjukkan ketuntasan belajar siswa. Sehingga bahan ajar yang dikembangkan sudah efektif untuk digunakan dalam pembelajaran.The role of teaching materials that suit students' needs can help students understand the material. However, conditions in the field, the teaching materials used in mathematics learning are still not in accordance with needs. So students are less able to understand the material and this results in less than optimal learning outcomes. The aim of this research is to develop e-didactical design through project-based electronic teaching materials using Augmented Reality, so that learning is student-centered and learning is more interactive so that students can construct concept discoveries. The research method used is development research (R & D) which implements the Borg and Gall model. Data collection techniques in this e-didactic design development research use two types, namely observation and questionnaires. The research subjects were junior high school students. There are 5 experts as validators including 2 mathematics education study program lecturers, namely learning experts and learning media experts as well as 3 junior high school mathematics subject teachers. Identify initial problems with learning obstacle analysis which is carried out by linking learning paths that can be developed by creating learning trajectories to further design e-didactics. The result of this research is an e-didactical design using electronic teaching materials via a flipbook application using Augmented Reality which was developed in accordance with the Borg and Gall model development research method, based on the results of the validation analysis of teaching materials with an average of 3.24 indicating that the teaching materials are valid and suitable for use, and a practicality test of 78% shows practical criteria for use and 85% shows student learning completeness. So that the teaching materials developed are effective for use in learning.
MEDIA PEMBELAJARAN MARI (MAGICBOOK AUGMENTED REALITY) BERBASIS ETNOMATEMATIKA RUMAH ADAT JOGLO Damayanti, Aira Puteri; Sari, Astrid Chandra; Fitri, Anisa
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 2 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i2.10883

Abstract

Kebingungan peserta didik dalam memecahkan soal-soal geometri disebabkan oleh tingginya tingkat abstraksi dari objek geometris dan kurangnya visualisasi benda yang dibayangkan. Media pembelajaran berbasis teknologi yang mampu membantu peserta didik untuk belajar visualisasi secara langsung yaitu Augmented Reality (AR). Teknologi AR dikolaborasikan dengan bahan ajar berupa Magicbook yang berisi marker AR, materi pembelajaran dan latihan soal. Hadirnya etnomatematika memberikan warna baru pada aktivitas pembelajaran peserta didik karena mengaitkan matematika dengan budaya. Budaya yang diangkat dalam penelitian ini adalah rumah adat Joglo karena struktur bangunan rumah Joglo merupakan representasi ilmu matematika materi bangun ruang sisi datar. Tujuan penelitian ini mengembangkan media MARI (Magicbook Augmented Reality) berbasis etnomatematika rumah adat Joglo untuk pembelajaran bangun ruang sisi datar di kelas VIII SMPN 2 Balen. Penelitian ini adalah jenis penelitian dan pengembangan dengan model ADDIE (analysis, design, development, implementation, dan evaluation). Hasil penelitian menunjukkan bahwa Magicbook Augmented Reality mendapatkan skor 3,82 (sangat valid) oleh ahli media dan mendapatkan skor rata-rata 3,50 (sangat valid) oleh dua ahli materi. Magicbook Augmented Reality juga dinyatakan sangat layak dengan hasil angket siswa yang menunjukan skor rata-rata 3,40. Simpulan penelitian ini adalah media MARI valid dan layak digunakan sebagai media pembelajaran matematika.Students’ difficulties in solving geometry problems are caused by the high level of abstraction of geometric objects and the lack of visualization of imagined objects. Technology-based learning media that can help students learn visualization directly is Augmented Reality (AR). In this study, AR technology is integrated with instructional materials in the form of a Magicbook containing AR markers, flat-sided solid geometry content, practice questions, and ethnomathematics components. The cultural element highlighted in this research is the Joglo traditional house, as its architectural structure represents concepts in flat-sided solid geometry. The aim of this research is to develop MARI (Magicbook Augmented Reality with Ethnomathematics) media based on the Joglo traditional house, which meets the criteria of being valid and feasible for teaching flat-sided solid geometry in Grade VIII at SMPN 2 Balen. This study employs a research and development (R&D) design using the ADDIE model (Analysis, Design, Development, Implementation, and Evaluation). The results show that the Magicbook Augmented Reality received a score of 3.82 (very valid) from media experts, 3.75 (very valid) from the first subject matter expert, and 3.25 (very valid) from the second subject matter expert. In addition, the Magicbook was considered highly feasible by students, with an average questionnaire score of 3.40. It can be concluded that the MARI media is valid and feasible to be used as a mathematics learning media. 
STUDENTS’ ERRORS IN TRANSLATING MATHEMATICAL REPRESENTATIONS FROM SYMBOLIC TO GRAPHICAL FORM IN QUADRATIC FUNCTIONS Safitri, Rizqi Febriana; Qohar, Abd.; Sisworo, Sisworo
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 2 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i2.10822

Abstract

Representation is an important element in mathematics learning that helps make abstract mathematical ideas more concrete. Changes between forms of representation, called translations of mathematical representations, are necessary in mathematics learning. However, students often struggle with this process, as evidenced by errors in problem-solving. These errors can be categorized into three types: interpretation errors, implementation errors, and preservation errors. Based on these facts, a solution is needed to overcome student errors. However, to formulate the right solution, an in-depth study is needed regarding student errors in translation. Therefore, this study aims to analyze and describe junior high school students' errors, especially in translating representations from symbolic to graphical form in quadratic function material. The method used is descriptive qualitative, involving three class IX students with different mathematical abilities as research subjects. The results of this study showed that high-ability students made few interpretation, implementation, and preservation errors from the stage of unpacking the source to constructing the target. Moderate-ability students made some interpretation and implementation errors from the stage of unpacking the source to constructing the target. Meanwhile, low-ability students made many interpretation, implementation, and preservation errors from the stage of unpacking the source to determining equivalence. To overcome these errors, teachers can apply level 1 scaffolding (environmental provisions) and level 2 scaffolding (explaining, reviewing, and restructuring). In conclusion, students with different mathematical abilities each have difficulties in making translations. The factors causing these errors include inaccuracy, neglect of important aspects, inappropriate habits, and conceptual errors.
PENGEMBANGAN MODUL AJAR INTEGRAL TAK TENTU DENGAN MODEL KOOPERATIF Lumbantoruan, Jitu Halomoan; Herman, Tatang
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 2 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i2.11097

Abstract

Hasil belajar siswa pada materi integral tak tentu masih rendah. Rendahnya hasil belajar siswa karena tidak ada modul ajar yang digunakan untuk belajar mandiri. Modul ajar harus diintegrasikan dengan model belajar, salah satunya model kooperatif karena model kooperatif dapat meningkatkan hasil belajar siswa pada materi matematika yang dianggap sulit oleh siswa. Sehingga tujuan penelitian untuk menghasilkan modul ajar integral tak tentu yang valid, praktis dan Efektif meningkatkan hasil belajar. Jenis penelitian yang dilakukan adalah research and development (R&D) dengan model pengembangan ADDIE. Subjek penelitian melibatkan 35 siswa. Teknik pengumpulan data berupa angket yang disusun berdasarkan Skala Likert. Adapun instrument pengumpulan data yang digunakan meliputi angket validasi ahli materi, ahli pembelajaran dan guru matematika. Teknik analisis data dengan statistik deskriptif. Hasil penelitian ini menunjukkan valid dari segi materi, model pembelajaran dan guru dengan skor nilai 92.11%, 92,22% dan 90,22. Ditemukan juga pembanding hasil belajar antara siswa yang menggunakan modul ajar integral dengan yang tidak menggunakan modul ajar Integral yaitu nilai mean 67 dan 87,68. Sedangkan penilaian siswa terhadap semua aspek dalam modul ini dinilai siswa dengan skor 92,01%. Kesimpulan, pengembangan modul ajar integral tak tentu berbasis model kooperatif praktis dan efektif membantu siswa memahami materi integral dalam memperoleh hasil belajar
PENGEMBANGAN LKPD INTERAKTIF BERBASIS AUGMENTED REALITY BERMUATAN BUDAYA NUSANTARA PADA MATERI PECAHAN Rohim, Dhina Cahya; Hana, Fida MAisa; Manggalastawa, Manggalastawa; Himayati, Ade Ima Afifa
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 3 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i3.13837

Abstract

Students' difficulties in learning mathematics in elementary school are caused by its abstract nature and the use of models and teaching materials that are less interesting. Therefore, innovation is needed by providing technology-based teaching materials and linking the material to real problems such as worksheet.. This study aims to develop an interactive AR-based worksheet containing Indonesian culture that is valid and practical as an alternative teaching material and can help the learning process become more interesting. This research method is a Borg & Gall model development research with procedures including potential and problems, data collection, design planning, assessment, revision, usability testing, and final revision. Data collection techniques used observation, interviews and questionnaires. The product validity data analysis technique was carried out by calculating the percentage of the value. The validation results from material experts were 88.5%, media experts 84.5%, and cultural experts 86.8%. Therefore, the overall validation results can be categorized as very valid. The practicality test was conducted by administering a student response questionnaire, with a result of 81.9%, thus categorizing it as very practical. Therefore, it can be concluded that the development of AR-based interactive student worksheets (LKPD) with Indonesian cultural content on fractions is valid and practical for use.
BAGAIMANA MAHASISWA MENGGUNAKAN PETA KARNAUGH DALAM MEMINIMASI FUNGSI BOOLEAN? Abdul Aziz, Tian; Makmuri, Makmuri; El Hakim, Lukman
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 3 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i3.9456

Abstract

Sejauh ini belum banyak penelitian pada topik minimisasi Fungsi Boolean. Penelitian studi kasus ini bertujuan untuk menganalisis performa mahasiswa dalam menggunakan peta Karnaugh dalam menyelesaikan permasalahan minimisasi fungsi Boolean. Sebanyak 42 mahasiswa dari program studi Pendidikan matematika di salah satu perguruan tinggi di Jakarta dipilih secara convenience sebagai partisipan dalam penelitian ini.  Pengumpulan data dilakukan dengan administrasi tes. Analisis artefak atau lembar jawaban partisipan dilakukan untuk melihat ketepatan jawaban, pembuatan diagram, dan proses pengelompokkan yang dibuat. Berdasarkan hasil analisis tersebut, hanya sekitar 26% partisipan yang dapat meminimisasi fungsi Boolean dengan tepat. Selain itu, ditemukan bahwa faktor pendukung dan penghambat keberhasilan partisipan dalam menyelesaikan permasalahan minimasi fungsi Boolean dengan menggunakan Karnaugh Map adalah bergantung pada ketepatan penyusunan diagram dan proses pengelompokkan. Penyusunan diagram yang tepat ternyata belum tentu mendukung proses pengelompokkan yang tepat, akan tetapi pengelompokkan yang tepat didasari diagram yang tepat. Pembelajaran pada topik ini perlu memperhatikan factor-faktor pendukung dan penghambat ini agar kesulitan mahasiswa dapat diminimalisir.
INTEGRATED DEVELOPMENT OF MALAY ETHNOMATHEMATICS: DESIGNING STUDENT WORKSHEETS ON ADDITION AND SUBTRACTION OF INTEGERS Ramadhani, Tasya Manty; Putra, Zetra Hainul; Fendrik, Muhammad; Ahmad, Sagheer
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 3 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i3.9779

Abstract

The use of unengaging and decontextualized worksheets has been identified as a significant barrier to the effective learning of mathematical concepts in elementary schools, leading to diminished student interests and understanding. This study aims to address this issue by developing interactive student worksheets grounded in Malay ethnomathematics, specifically tailored for teaching addition and subtraction to second-grade elementary students. An ethnographic approach was adopted to integrate ethnomathematical concepts with local cultural contexts, thereby enhancing the relevance and engagement of the learning experience. The research employed a Research and Development (R&D) methodology, utilizing the ADDIE model (Analysis, Design, Development, Implementation, and Evaluation) as the framework for development. Data collection was collected through interviews, observations, and questionnaires, with a sample size of sixteen students. The findings of the study revealed the following: (1) The quality of the developed student worksheets was categorized as valid, based on evaluations by three validators specializing in language, content, and media. The validation scores were 93% for language, 93% for content, and 100% for media. (2) The practicality of the worksheets was assessed by both teachers and students, with teachers rating the practicality at 82% and students at 81%. In conclusion, the developed student worksheets were found to be both valid and practical, making them suitable for implementation in elementary school settings. This study underscores the potential of culturally contextualized educational materials to enhance students’ engagement and understanding in mathematics.  
DEVELOPMENT OF ETHNOMATHEMATICS BASED DIGITAL LEARNING MEDIA ON THE SARON MUSICAL INSTRUMENT Muslimah, Nur Annisa; Hotiah, Herera; Aminah, Neneng; Ferdianto, Ferry
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 3 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i3.12766

Abstract

Mathematics learning is still separated from local culture, and the concept of ethnomathematics is rarely applied in education, particularly in the context of traditional musical instruments. This research is essential to implement to present contextual and meaningful learning media through a cultural approach. This study aims to develop and assess the feasibility of the GEETNOSAR (Google Sites Ethnomathematics Saron) learning media. This research employs the R&D (Research & Development) method with the ADDIE model (Analysis, Design, Development, Implementation, Evaluation). The subjects of the study consisted of 32 eleventh-grade students at SMAN 1 Cilimus. The data collection techniques used in this research are questionnaires, interviews, observations, and documentation.. Based on the research results, it was concluded that the GEETNOSAR learning media was successfully developed and received a score with very valid criteria based on assessments from media experts, content experts, and student responses, amounting to 92.5%. Thus, GEETNOSAR has proven to be suitable for use as contextual and engaging mathematics learning media. It can serve as an innovative learning tool that integrates the potential of local culture with advancements in digital technology, thereby providing meaningful learning experiences for students.
THE CONCEPT OF ALGEBRAIC AND GEOMETRIC FUNCTIONS IN TRADITIONAL LOMBOK BALE SADE: AN ETHNOMATHEMATICS STUDY Abdillah, Abdillah; Hadi, Alfian Rahman; Mandailina, Vera; Syaharuddin, Syaharuddin
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 3 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i3.12845

Abstract

This study aims to explore the application of the concepts of algebraic functions and geometry in the traditional architecture of Bale Sade, a traditional house of the Sasak people in Lombok, through an ethnomathematics approach. Although previous studies have highlighted geometric aspects in Sasak arts and crafts, in-depth studies of the application of algebraic and geometric principles in traditional building structures are limited. This research uses a qualitative approach with descriptive methods, through field observations in Rembitan Village, Pujut Subdistrict, interviews with several resource persons, TA (Traditional Leaders), and PW (Tour Guides), and documentation in Rembitan Village, Pujut Subdistrict, Central Lombok. Data analysis refers to the Miles and Huberman model which includes collecting, reducing, presenting data, and drawing conclusions. The results show that the structure of Bale Sade reflects mathematical principles such as symmetry, proportion, and geometric balance, as well as the application of algebra in calculating dimensions and efficient use of materials. In addition to functioning as a residence, Bale Sade reflects local wisdom that is closely related to cultural and environmental values. While previous studies have highlighted geometric aspects in the arts and crafts of the Sasak people, this study also makes an in-depth contribution to the application of algebraic and geometric principles in traditional building structures. This research recommends further studies that highlight the resilience of traditional architecture to climate change and the potential integration of modern technology in design without losing cultural values.
THE ERRORS IN SOLVING GEOMETRY QUESTIONS ON CONGRUENCE AND SIMILARITY TOPICS BY FLORENCE LITTAUER MIXED PERSONALITY TYPE STUDENTS Hariyanto, Nanang Hadi; Purwanto, Purwanto; Kusumasari, Vita
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 3 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i3.10186

Abstract

This research aims to describe errors and determine the factors that cause errors in solving geometry problems in terms of students' mixed Florence Littauer personality types. This research is qualitative descriptive research. The subjects of this research were ninth-grade students at SMPN 13 Malang who had been given material on "similarity and congruence of triangles". Data collection techniques include questionnaires, test questions, interviews. Data analysis techniques in this research include data reduction, data presentation, and drawing conclusions. The validity of the data uses triangulation techniques through the results of test questions and interviews. The results of the research can be concluded that students with mixed natural personality types (SCA) make five errors, namely reading errors, understanding errors, transformation errors, process skills errors, and errors in writing the final answer. Students with mixed-complementary personality types (SCP) have one error, namely an error in writing the final answer. Students with the opposite personality type (SCL) experienced two errors in answering geometry questions, namely transformation errors and process skill errors. The factors that cause errors are (a) not being able to understand the geometry material well, (b) being weak in the prerequisite material, and (c) carelessness made by students when solving geometry problems.

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