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All Journal Jurnal Infinity AKSIOMA: Jurnal Program Studi Pendidikan Matematika WARTA JIPM (Jurnal Ilmiah Pendidikan Matematika) Al-Jabar : Jurnal Pendidikan Matematika Al Ishlah Jurnal Pendidikan Resona : Jurnal Ilmiah Pengabdian Masyarakat Jurnal SOLMA CARADDE: Jurnal Pengabdian Kepada Masyarakat JURNAL PENDIDIKAN TAMBUSAI Jurnal PTK dan Pendidikan MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Buletin KKN Pendidikan Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika JURNAL ILMIAH GLOBAL EDUCATION Proceeding ISETH (International Summit on Science, Technology, and Humanity) Journal of Educational Technology and Learning Creativity Jurnal Tadris Matematika (JTMT) Asian Journal of Management, Entrepreneurship and Social Science Jurnal Infinity Proceeding International Conference on Mathematics and Learning Research Mathematics Education Journal Journal on Mathematics Education Jurnal VARIDIKA Indonesian Journal on Learning and Advanced Education (IJOLAE) Jurnal Didaktik Matematika
Muhammad Noor Kholid
Universitas Muhammadiyah Surakarta
Arts Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Environmental Science Languange, Linguistic, Communication & Media Mathematics Medicine & Pharmacology Social Sciences Other

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Analyzing the Mathematical Literacy of Indonesian Students: Characteristics, Challenges, and Technology-Enhanced Solutions Muhaimin, Lukman Hakim; Vrapi, Asllan; Anggareni, Peni; Abadi, Ma'ulfi Kharis; Kholid, Muhammad Noor; Dewi, Deshinta A
Journal of Educational Technology and Learning Creativity Vol. 3 No. 2 (2025): December
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/jetlc.v3i2.2494

Abstract

Purpose of the study: This study aims to uncover the characteristics of Indonesian students' mathematical literacy, the challenges they face in solving mathematical problems, and to propose effective solutions, including technology-enhanced interventions, for improvement. Methodology: This study uses a qualitative phenomenological approach to explore students’ experiences in mathematical literacy. Data were collected through AKM-based algebra tasks, interviews, and observations involving three purposively selected middle school students. Method triangulation ensured validity, while digital tools, including audio recording and NVivo software, supported systematic qualitative data coding and analysis. Main Findings: The findings indicate that students’ incorrect answers often arise from difficulties in identifying key problem elements. This misidentification triggers cascading errors across subsequent problem-solving steps, creating a domino effect. Analysis revealed distinct patterns in communication, mathematization, representation, problem-solving strategies, symbolic operations, and reasoning. These patterned error trajectories align well with digital logging, automated analysis, and real-time feedback, enabling direct application in designing digital assessment platforms, intelligent tutoring systems, and learning analytics dashboards to diagnose learning breakdowns. Novelty/Originality of this study: This study uniquely bridges qualitative phenomenological analysis with concrete technological design, systematically translating error patterns into detection algorithms, scaffolding rules, and dashboard specifications. Unlike prior research that either describes difficulties or proposes technology, we explicitly operationalize how intelligent systems can detect and respond to cascading error patterns in real time. The result is a contextually grounded framework for AKM-aligned technology implementation tailored to Indonesian educational realities, including infrastructure constraints and teacher capacity.
The Role of Instructional Design in Improving Pre-Service and In-Service Teacher’s Mathematics Learning Sets Skills: A Systematic Literature Review in Indonesian Context Naufal Ishartono; Rafiza binti Abdul Razak; Siti Hajar binti Halili; Yoga Dwi Windy Kusuma Ningtyas; Wilda Syam Tonra; Muhammad Noor Kholid; Mohamad Waluyo; Soraya Djamilah
Indonesian Journal on Learning and Advanced Education (IJOLAE) Vol. 5, No. 1, January 2023
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/ijolae.v5i1.20377

Abstract

Several previous researchers have tried to review the results of previous research related to the development of learning tools using a systematic literature review (SLR) model. However, SLR research efforts that examine the development of learning tools carried out by Indonesian in-service and pre-service mathematics teachers are still limited. Therefore, this study seeks to answer two questions, namely (1) what is the mathematics learning sets developed by the Indonesian ISTs and PSTs, and (2) What instructional design model is used by the Indonesian ISTs and PSTs in developing mathematics learning sets. As many as 55 articles were selected using the PRISMA protocol by retrieving articles from the ERIC and Dimensions databases. The findings of the two questions are that the ADDIE model is the most widely used model by Indonesian PSTs and ISTs in developing learning sets. In addition, mathematics learning media and mathematics student worksheets are the most developed tools by authors. This study also examines several instructional designs and types of mathematics learning sets developed by researchers, which can undoubtedly be a refer-ence for subsequent researchers in developing mathematics learning sets.
Defragmentation of Students' Conceptual Understanding in Solving Non-Routine Mathematics Problems Miftakhul Djannah; Nining Setyaningsih; Muhammad Noor Kholid; Mark Angelo C Reotutar
Didaktik Matematika Vol 11, No 2 (2024): OCTOBER 2024
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v11i2.38383

Abstract

This study investigated the impact of concept fragmentation on students' understanding of mathematics and examines efforts to reduce it. Concept fragmentation hinders problem-solving abilities, often occurring when students struggle to create meaningful connections or new representations from existing ones. Limited interventions, such as cognitive conflict and scaffolding, are suggested to address this issue. This study employed a qualitative descriptive approach, focusing on two seventh-grade students in Sukoharjo, Indonesia, who exhibited concept fragmentation. Data collection involved tests, interviews, and observations, with analysis following qualitative methods. The findings indicate two main types of fragmentation: translational thinking fragmentation and meaningless connection fragmentation. These arise when students attempt to build new representations but make errors due to disconnected prior knowledge. Interventions revealed a pattern of developing schemas, where students knit together concepts to minimize problem-solving errors. Techniques such as rereading problems and substituting information into formulas improved concept comprehension. The study concludes that defragmentation aids students in connecting existing knowledge with new information, enhancing their problem-solving strategies. Future research should investigate other fragmentation types and effective interventions for reducing fragmentation in mathematics learning.
Exploration of Students' Problem Solving Ability on Arithmetic Material in a Constructivist Philosophy Perspective Review Sukowati, Berliani Ardelia; Hidayati, Miftachul; Ningrum, Auliya; Kholid, Muhammad Noor
Proceeding International Conference on Mathematics and Learning Research 2025: Proceeding International Conference on Mathematics and Learning Research
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

This study aims to explore the mathematical problem-solving abilities of male and female students on arithmetic sequence and series material from a constructivist philosophical perspective. The research was motivated by the generally low problem-solving performance of Indonesian students, as reflected in international assessments such as PISA and TIMSS. Employing a qualitative case study design, the research involved two eighth-grade students from SMP Negeri 3 Satu Atap Tawangharjo, each representing a high-achieving male and female student. Data were collected through written tests, interviews, observations, and documentation, and analyzed using an interactive model. Findings reveal that both male and female students achieved all mathematical problem-solving indicators, yet exhibited distinct cognitive patterns. Male students demonstrated logical and spatial strategies but tended to overlook the rechecking stage, while female students showed more verbal, organized, and reflective problem-solving behaviors. From a constructivist perspective, these differences highlight the importance of meaningful, experience-based learning that supports individual knowledge construction.The study suggests that mathematics instruction should integrate varied contextual problems, promote reflective habits, and adopt gender-responsive strategies to enhance students' problem-solving competence. Future research is encouraged to broaden the scope across different topics and student populations.
Exploration of Students' Mathematics Concept Understanding Ability on Social Arithmetic Material in Terms of Gender Differences Mahmudah, Mutiara Hisda; Maulida, Dini Wardani; Sukimin, S; Kholid, Muhammad Noor
Proceeding International Conference on Mathematics and Learning Research 2025: Proceeding International Conference on Mathematics and Learning Research
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Concept understanding allows students to relate existing knowledge to new information or situations, so that they can represent mathematical ideas in various forms, both verbally, visually, and symbolically. This study aims to describe the effect of gender differences on students' mathematical concept understanding ability in social arithmetic material in junior high school. The research method used was qualitative with a case study approach, involving 22 seventh-grade students who were selected voluntarily. Data were collected through observation, tests, document analysis, and in-depth interviews, then analyzed using data reduction, data presentation, and conclusion-drawing techniques. The results showed that male students tend to rely more on logic and reasoning in solving problems, while female students are more analytical but sometimes less optimal in mathematical representation. Nevertheless, both gender groups were able to fulfill the indicators of concept understanding, such as restating concepts, classifying objects, and applying concepts, although with different approaches. These findings indicate the importance of considering gender differences in designing inclusive and effective mathematics learning strategies. In addition, this study provides important implications for the development of gender-responsive learning strategies to improve students' conceptual understanding.
Students' Visual Challenges in Interpreting Geometric Elements in Batik Motifs Winahyu Septiana Prayogi; Muhammad Noor Kholid
Proceeding ISETH (International Summit on Science, Technology, and Humanity) 2025: Proceeding ISETH (International Summit on Science, Technology, and Humanity)
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

Purpose: This study aims to identify and analyze the visual challenges faced by elementary school students in identifying geometric elements in Sukowati batik motifs.Methodology: Using a qualitative approach with an ethnographic design, data were collected from 12 fifth-grade students at Elementary School in Sragen, Central Java, through visual-based math tests, in-depth interviews, and observations.Results: The results show that students experience visual challenges in describing geometric shapes, including an inability to distinguish between parallelograms and isosceles triangles, confusion in distinguishing rhombuses from squares, and difficulty in recognizing basic geometric shapes due to overlapping decorative elements and complex ornamental patterns.Applications/Originality/Value: This study provides a basis for developing locally-based learning strategies by utilizing batik as a contextual medium to improve students' understanding of geometry and visual-spatial competence.
Numeracy Literacy through Mystery Boxes: A Pedagogical Tool for Improving Multiplication Skills Wulan Berliana Putri; Muhammad Noor Kholid
Proceeding ISETH (International Summit on Science, Technology, and Humanity) 2025: Proceeding ISETH (International Summit on Science, Technology, and Humanity)
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

Purpose: This study aims to analyze the learning needs of fourth-grade elementary school students in multiplication and identify how the Mystery Box game can be used as a pedagogical tool to improve students' numeracy skills.Methodology: This study uses a qualitative approach involving students and teachers as research subjects. Data collection was conducted through observation, interviews, and analysis of documents/learning needs questionnaires.Results: The results showed that most students needed concrete learning support rather than just focusing on memorization. Teachers assessed that the Mystery Box game had great potential to help students build conceptual understanding through activities.Applications/Originality/Value: This study provides practical contributions to the development of mathematics learning in elementary schools, especially in multiplication material. The use of Mystery Box is said to be able to provide a more concrete, interactive, and enjoyable learning experience so that it can be applied as an alternative learning strategy.
Enhancing Conceptual Understanding in Geometry of Curved Solids: A Constructivist Philosophy Approach through Interactive E-Module for Secondary School Students Santosa, Yoga Tegar; Hastuti, Windi; Ismiyati, Ismiyati; Ferdianto, Juli; Kholid, Muhammad Noor
Jurnal VARIDIKA Volume 38 No 2, August 2026
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/varidika.v38i2.13706

Abstract

Conceptual understanding is a crucial aspect of mathematics learning. However, in practice, students’ mathematical conceptual understanding often tends to be low. One potential solution is the implementation of an interactive e-module grounded in constructivist philosophy to facilitate deeper understanding of mathematical concepts. This study aims to examine the influence of using a constructivist-philosophy-based interactive e-module on students’ conceptual understanding in geometry of curved solids at the secondary school level. The research employed a quantitative quasi-experimental approach with a pretest–posttest non-equivalent control group design. The participants consisted of 62 ninth-grade students from a public junior secondary school in Boyolali Regency, Indonesia, who were divided into experimental and control groups. Data were collected using a conceptual understanding test that was validated and demonstrated good reliability (Cronbach’s α = 0.82). Data analysis was conducted using descriptive and inferential statistics. The Mann–Whitney U test revealed a significant difference in post-test scores between the experimental and control groups (p < 0.001), with the experimental group achieving a higher median score (75) than the control group (55.5). The effect size analysis indicated a strong practical effect (r = 0.77), suggesting that the observed difference was not only statistically significant but also educationally meaningful. These findings indicate that the constructivist-philosophy-based interactive e-module was effective in supporting the enhancement of students’ conceptual understanding of geometry of curved solids. Furthermore, students who learned the material using the e-module demonstrated significantly better conceptual understanding than those who did not. These findings can serve as a reference for teachers in selecting appropriate digital learning media, while also contributing to the development of mathematics learning innovations oriented towards constructivism.
Analyzing the Mathematical Literacy of Indonesian Students: Characteristics, Challenges, and Technology-Enhanced Solutions Muhaimin, Lukman Hakim; Vrapi, Asllan; Anggareni, Peni; Abadi, Ma'ulfi Kharis; Kholid, Muhammad Noor; Dewi, Deshinta A
Journal of Educational Technology and Learning Creativity Vol. 3 No. 2 (2025): December
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/jetlc.v3i2.2494

Abstract

Purpose of the study: This study aims to uncover the characteristics of Indonesian students' mathematical literacy, the challenges they face in solving mathematical problems, and to propose effective solutions, including technology-enhanced interventions, for improvement. Methodology: This study uses a qualitative phenomenological approach to explore students’ experiences in mathematical literacy. Data were collected through AKM-based algebra tasks, interviews, and observations involving three purposively selected middle school students. Method triangulation ensured validity, while digital tools, including audio recording and NVivo software, supported systematic qualitative data coding and analysis. Main Findings: The findings indicate that students’ incorrect answers often arise from difficulties in identifying key problem elements. This misidentification triggers cascading errors across subsequent problem-solving steps, creating a domino effect. Analysis revealed distinct patterns in communication, mathematization, representation, problem-solving strategies, symbolic operations, and reasoning. These patterned error trajectories align well with digital logging, automated analysis, and real-time feedback, enabling direct application in designing digital assessment platforms, intelligent tutoring systems, and learning analytics dashboards to diagnose learning breakdowns. Novelty/Originality of this study: This study uniquely bridges qualitative phenomenological analysis with concrete technological design, systematically translating error patterns into detection algorithms, scaffolding rules, and dashboard specifications. Unlike prior research that either describes difficulties or proposes technology, we explicitly operationalize how intelligent systems can detect and respond to cascading error patterns in real time. The result is a contextually grounded framework for AKM-aligned technology implementation tailored to Indonesian educational realities, including infrastructure constraints and teacher capacity.
Hidden Mathematics in Crafting Wayang Kulit: Geometry, Proportion, and Symmetry in the Traditional Javanese Shadow Puppets Muhammad Noor Kholid; Aisyara Zalzabila Sapruddin
Mathematics Education Journal Vol. 20 No. 2 (2026): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v20i2.pp501-520

Abstract

Mathematics learning is often presented in abstract forms, detached from students’ cultural experiences. This makes it difficult for learners to relate mathematical concepts with their real-life contexts. Integrating cultural artifacts into mathematics education can provide meaningful and contextual learning experiences. This study aims to explore mathematical concepts embedded in the traditional Javanese art of wayang kulit or shadow puppetry, particularly those related to geometry, proportion, and symmetry, and to examine how these concepts reveal implicit mathematical reasoning and proportional systems employed by craftsmen, and how these can be developed into a culturally grounded framework for mathematics learning. The research employed an ethnographic approach within the framework of ethnomathematics. Data were collected through semi-structured interviews, participatory observations, and documentation involving three experienced wayang kulit craftsmen in Surakarta, Indonesia. The data were analyzed using qualitative content analysis, including data reduction, categorization, and interpretation. The findings reveal that the process of crafting wayang kulit involves various mathematical ideas, including geometric shapes, proportional body structures, repeating patterns, and symmetrical ornament designs. These concepts are intuitively applied by craftsmen, drawing on accumulated experience and culturally transmitted design conventions that function as implicit mathematical rules, during the design and production process. The study highlights that wayang kulit contains meaningful geometric structures, particularly in relation to shae, proportion, and symmetry, which can serve as contextual learning resources. Therefore, integrating cultural heritage such as wayang kulit into mathematics instruction can enhance students’ conceptual understanding of geometry, particularly in shape, proportion, and symmetry, while informing the design of ethnomathematics-based instructional materials.
Co-Authors Abdullah, Harits Adi Nurcahyo Aditya Laili, Luthfiana Afiyah, Asyifa Nur Ahadiyati, Arina Ahmad Zul Fakar Ahmad Zul Fakar Aisyara Zalzabila Sapruddin Anatri Desstya Anggareni, Peni Anggoro Hermawan, Dwi Annisa Swastika Anton Adi Suryo Kusuma Aprian Agung Kurniawan Arifin, Achmad Januar Arina Ahadiyati Arlinwibowo, Janu Arum, Sekar Mustika Astiani, Afifatul Ayu Asyifa Nur Afiyah Augustin, Azzahra Nadia Beauty, Melati Cholis Sa’dijah Christina Kartika Sari Dewi, Deshinta A Dias Aziz Pramudita Erry Hidayanto Fadhilah, Himmatul Fatah Yasin Al Irsyadi FATHULOH, RIDWAN Ferdianto, Juli Fuad Luky Atmaja Hastuti, Windi Hendrisa Rizqie Romandoni Hidayati, Miftachul Huda, Maskur Husodo, Herlang Duta Ika Candra Sayekti Indriyani Tri Jayanti Ismiyati, Ismiyati Janu Arlinwibowo Khofifah Titan Palupi Laili Etika Rahmawati Lestari, Winda Dwi Lingga Nico Pradana Loc, Nguyen Phu Magdas, Ioana Christina Mahmudah, Mutiara Hisda Mardiana Nissa Mark Angelo C Reotutar Masduki Maulida, Dini Wardani Ma’ulfi Kharis Abadi Miftakhul Djannah Minsih Mitasari, Dewi Mohamad Waluyo Mohammad Rifki Maulana Muhaimin, Lukman Hakim Nanna, A.Wilda Indra Nasrulloh, Agung Naufal Ishartono Ningrum, Auliya Ningtyas, Yoga Dwi Windy Kusuma Nining Setyaningsih Nuqthy Faiziyah Nurcahyo, Adi Nuriya Hazma Arifatul Ulya Nurul Hikmah Kartini Oktiatama, Firlana Bakti Permadi, Hendro Prasetyo, Wibowo Heru Pratama, Muhammad Alif Pratiwi, Enditiyas Rafiza binti Abdul Razak Rafiza binti Abdul Razak Ramadhan, Aldy Tri Ratnasari Diah Utami Razak, Rafiza binti Abdul Risda Putri Nugrahani Rosita Dewi S Sukimin Santosa, Yoga Tegar Setiadi, Arief Siti Hajar binti Halili Soraya Djamilah, Soraya Sri Rejeki Sri Sutarni Sukowati, Berliani Ardelia Sutama SWASTI MAHARANI Swasti Maharani Swasti Maharani, Swasti Syafif, Insiana Aribatunnisah Tiara Citra Maharani Firdaus Tika Andriani Tina Putri Alfiana Tonra, Wilda Syam Toto Nusantara Toyib, Muhamad Ulya, Nuriya Hazma Arifatul Vrapi, Asllan Widia Yunita Widia Yunita, Widia Winahyu Septiana Prayogi Wulan Berliana Putri Yasir Sidiq Yoga Dwi Windy Kusuma Ningtyas Yulia Maftuhah Hidayati Zayyadi, Moh Zeni Fadlila Agustina