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All Journal Jurnal Pendidikan Matematika dan IPA Jurnal Infinity Kreano, Jurnal Matematika Kreatif-Inovatif Rekayasa: Jurnal Penerapan Teknologi dan Pembelajaran AlphaMath: Journal of Mathematics Education Journal of Research and Advances in Mathematics Education Educational Management PRISMA Journal of Honai Math JIPI (Jurnal Ilmiah Penelitian dan Pembelajaran Informatika) Aptisi Transactions on Technopreneurship (ATT) Unnes Journal of Mathematics Education Research Journal of Primary Education Jurnal Pendidikan Edutama ANARGYA: Jurnal Ilmiah Pendidikan Matematika Vygotsky: Jurnal Pendidikan Matematika dan Matematika Jurnal Pendidikan dan Konseling Imajiner: Jurnal Matematika dan Pendidikan Matematika JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Edunesia : jurnal Ilmiah Pendidikan Jurnal Math-UMB.EDU Mosharafa: Jurnal Pendidikan Matematika Journal Evaluation in Education (JEE) INTERNATIONAL JOURNAL OF EDUCATION, INFORMATION TECHNOLOGY, AND OTHERS Unnes Journal of Mathematics Education Jurnal Didactical Mathematics Prisma Sains: Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Journal of General Education and Humanities Prosiding Seminar Nasional Pascasarjana Proceeding of International Conference on Science, Education, and Technology Seminar Nasional Hasil Penelitian LP2M UNM Journal of Innovative and Creativity JRAMathEdu (Journal of Research and Advances in Mathematics Education) Jurnal Infinity Jurnal Abdimas Jurnal Pendidikan MIPA Jurnal Pendidikan Progresif Himpunan: Jurnal Ilmiah Mahasiswa Pendidikan Matematika Edumaspul: Jurnal Pendidikan Jurnal Didaktik Matematika
Wardono Wardono
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Religion Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Dentistry Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Physics Public Health Social Sciences Other

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Exploring the Gap: Creative Mathematical Reasoning of Pre-service Teachers in Solving Multiple Solution Analytical Geometry Tasks Muhammad Iqbal Harisuddin; Wardono Wardono; Adi Nur Cahyono; Riyan Hidayat; Zaenuri Zaenuri; Yohanes Leonardus Sukestiyarno; Stevanus Budi Waluya
Jurnal Pendidikan MIPA Vol 27, No 1 (2026): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v27i1.pp39-62

Abstract

With the rapid changes in the times, the emphasis in education has also shifted, from equipping students with highly codified knowledge to developing routine skills to empower them to face and overcome complex and non-routine cognitive challenges. Students must be able to think flexibly and creatively when asked to solve problems for which they do not yet have strategies. The purpose of this study was to describe the creative mathematical reasoning (CMR) abilities of students in solving multiple solution tasks (MSTs) in analytical geometry problems. The CMR indicators in this study were novelty, plausibility, and mathematical foundation. The research used a qualitative descriptive design, describing how students' CMR abilities and their own abilities in solving MSTs questions. The subjects of this study were second-semester students in the mathematics education program at a university in Subang in the 2024/2025 academic year. The subjects were given MSTs questions, grouped into high, medium, and low groups based on their scores. Then, two participants were selected from each group. The criteria for selecting research subjects were: fulfilling the CMR ability aspect; being able to solve several MSTs questions to assess novelty, plausibility, and mathematical foundation, including the stages of initiating reasoning, developing reasoning (incubation, illumination), verifying reasoning, and justifying reasoning; and being able to communicate well. The research subjects were divided into three groups based on the MSTs' question scores: high, medium, and low.  The results of the study illustrate that students' mathematical creative reasoning abilities in solving MSTs questions are not optimal, as reflected in the solutions they provide. Therefore, to optimize students' CMR abilities, assignments should combine question types and use interactive, practical, relevant, comfortable, and connected learning models. For example, project-based or technology-based learning models. Keywords: analytical geometry, creative reasoning, multiple solution tasks.
Mapping Students’ Creative Thinking in Geometry: A Cognitive Style-Based Needs Analysis Handoko, Hendri; Waluya, St Budi; Wardono, Wardono; Sugiman, Sugiman
Journal of General Education and Humanities Vol. 5 No. 2 (2026): April
Publisher : MASI Mandiri Edukasi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58421/gehu.v5i2.1310

Abstract

Creative thinking is a key objective in geometry learning, yet prior studies have focused more on instructional interventions than on students’ initial profiles. This study aims to map students’ creative thinking in geometry and examine its variation across cognitive styles. A descriptive survey with comparative analysis was conducted involving 62 undergraduate students at UIN Siber Syekh Nurjati Cirebon. Creative thinking was measured using the Creative Thinking in Geometry Test (CTGT), covering fluency, flexibility, originality, and elaboration, while cognitive styles were classified into Field Independent (FI) and Field Dependent (FD). Data were analyzed using descriptive statistics and independent samples t-tests. The results indicate uneven performance across the dimensions, with fluency the highest and originality the lowest. Most students demonstrated moderate levels of creative thinking. FI students performed significantly better in fluency, flexibility, and originality than FD students, while no significant difference was found in elaboration. These findings suggest that cognitive style influences students’ engagement with geometry tasks and highlight the importance of identifying students’ initial profiles to inform instructional design.
Constructing Advanced Mathematical Thinking on Function Limits through Cognitive Styles and APOS-Based Scaffolding: A Qualitative Case Study Aristika, Ayu; Wardono, Wardono; Mariani, Scolastika; Walid , Walid
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.v14i2.19936

Abstract

This study examines patterns of advanced mathematical thinking (AMT) in learning function limits through students’ cognitive styles and APOS-based scaffolding. Although previous studies have investigated APOS theory and cognitive styles separately, limited research has explored how both interact in the development of AMT within calculus learning, particularly in the concept of function limits. Adopting a qualitative case study design, data were generated through semi-structured interviews, classroom observations, and document analysis involving 24 mathematics education students at Universitas Islam An Nur Lampung. In this study, cognitive style refers to field-dependent and field-independent learning tendencies, while AMT is represented through indicators of reasoning, abstraction, representation, proof, and problem posing. The analysis employed thematic coding to identify patterns emerging from students’ learning experiences during APOS-based scaffolding activities. The findings reveal three interrelated themes. First, students with field-independent cognitive styles demonstrated more flexible and self-directed reasoning when solving limit problems, whereas field-dependent students relied more on guided explanations, visual representations, and collaborative support. Second, the APOS-based scaffolding sequence of action, process, object, and schema illustrated students’ gradual movement from procedural manipulation toward conceptual interpretation of limits. Third, collaborative scaffolding activities created opportunities for peer explanation and collective meaning-making that supported mathematical generalization. Across the AMT indicators, reasoning obtained the highest average score (3.6), while proof showed the lowest average score (2.9), indicating that students experienced greater difficulty in constructing formal mathematical justification. These findings indicate patterns showing that students’ advanced mathematical thinking emerged through the interaction between individual cognitive tendencies and instructional scaffolding rather than through isolated instructional techniques alone. The study highlights the importance of aligning scaffolding practices with learners’ cognitive characteristics in calculus instruction and contributes qualitative insights into the development of AMT in higher mathematics learning.
Beyond Straight Lines: Contextualizing Lobachevsky's Parallel Postulate Through the Geometry of the "Bubu" Fishing Gear Anggoro, Abdurrobbil Falaq Dwi; Wardono, Wardono; Mariani, Scolastika; Susilo, Bambang Eko
Journal of Honai Math Vol. 8 No. 3 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i3.974

Abstract

The axiom of Lobachevsky's parallelism is one of the topics that students often find difficult. The purpose of this research is to design a learning trajectory about the Lobachevsky axiom of parallelism using the context of a valid, practical and effective traditional fishing gear "bubu". This research applies development studies which consist of three main phases: preliminary study: analysis and exploration; prototype development: design and construction; and the last stage of assessment: evaluation and reflection. The results of the study show that the learning trajectory of the Lobachevsky equation axiom using the context of traditional fishing gear "bubu" is valid, practical and effective to improve problem-solving skills for mathematics education students. The conclusion is that there are six steps to the learning trajectory, namely: First, identification of problems with the local cultural context; Second: representation of problems; Third: make a settlement plan; Fourth: implementing the plan; Fifth: evaluate the solution of the problem; and lastly, make a conclusion about the axiom of Lobachevsky's parallelism.
Edupreneurial Innovations in Mathematical Literacy and Global Instructional Practices Sumliyah, Sumliyah; Wardono, Wardono; Mariani, Scolastika; Waluya, Stevanus Budi; Pujiastuti, Emi; Ani, Nyree
Aptisi Transactions On Technopreneurship (ATT) Vol 8 No 2 (2026): July
Publisher : Pandawan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34306/att.v8i2.722

Abstract

This study provides a global synthesis of pedagogical innovations and research developments in mathematical literacy from 2022 to 2026, uniquely emphasizing an edupreneurial perspective that integrates entrepreneurial creativity into mathematics education through innovative teaching and learning practices. The analysis utilizes the Scopus, ERIC, and Google Scholar databases to identify global trends and research gaps. Employing the Systematic Literature Review (SLR) method based on the PRISMA (Preferred Reporting Items for Systematic Reviews and Meta-Analyses) framework, a total of 564 articles were initially identified, with selected studies analyzed to address predefined research questions. The review highlights that research on mathematical literacy is predominantly characterized by qualitative and quantitative approaches, with junior high school students as the most frequent subjects and research settings. A growing trend in edupreneurial pedagogical practices is evident through the integration of contextual problem-solving strategies, ethnomathematical perspectives, and technology-enhanced learning models. Recommendations for future research and policy include strengthening teacher conceptual understanding of mathematical literacy, developing contextually rich assessment models, advancing technology-integrated instruction, and expanding research toward psychological factors influencing mathematical literacy. Moreover, the study underscores the need for increased research at the vocational education level and calls for education policymakers to design and implement professional development programs aimed at enhancing teachers’ and students’ competencies in mathematical literacy through innovative, entrepreneurial-based learning approaches.
Meta Analysis: Analysis of Students' Mathematical Critical Thinking Ability Through the Inquiry Learning Model Suryonegoro, Bayu Murti; Wardono, Wardono; Asih, Tri Sri Noor; Mariani, Scolastika; Rosyida, Isnaini; Aini, Aulia Hurul
Journal Evaluation in Education (JEE) Vol 6 No 1 (2025): January
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/jee.v6i1.1305

Abstract

Purpose of the study: The importance of critical mathematical thinking skills in mathematics learning in the current era of the industrial revolution and globalization has encouraged research to evaluate the impact of learning models, one of which is the inquiry model, on students' critical mathematical thinking skills. Methodology: This meta-analysis review was conducted using the stages of data collection, literature review using PRISMA, statistical analysis, qualitative study, and conclusions. Data were collected through national and international journals and proceedings indexed by Sinta or Scopus to make the information obtained more credible. This study uses the PRISMA framework with the steps identification, screening, eligibility, and inclusion to help transparency, consistency, and completeness of reporting the results of the meta-analysis review. Main Findings: Based on the research results, inquiry learning significantly influences students' critical mathematical thinking skills. This is evidenced by increased motivation, curiosity, and student involvement in learning. However, this finding requires follow-up in the future, for example, the development of innovations in textbook learning in the form of textbooks or other learning media. Novelty/Originality of this study: The study analysis of the process of students' critical mathematical thinking skills towards the inquiry learning model in this study was conducted by citing various cross-disciplinary studies and studies from multiple countries or regions to balance more detailed analysis perspectives globally.
A Systematic Review of Junior High School Mathematics Curriculum in Indonesia and Australia Suryonegoro, Bayu Murti; Wardono, Wardono; Waluya, Stevanus Budi; Mulyono, Mulyono; Wijaya, Ifan Badra
Journal Evaluation in Education (JEE) Vol 7 No 1 (2026): January
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/jee.v7i1.2472

Abstract

Purpose of the study: This study analyzes the comparative mathematics curricula between Indonesia and Australia to uncover various aspects of the education systems. The focus is on the similarities and differences between the curricula, systematically examining them in terms of objectives, materials, methods, and assessment, particularly in mathematics. Methodology: This study used a library method with the main data sources coming from 58 articles, 44 books, and 10 official documents in a qualitative descriptive manner. The research data analysis used the Systematic Literature Review method through the following steps: identification, screening, eligibility, and inclusion based on keywords, titles, abstracts, inclusion and exclusion criteria, and referenced literature. Main Findings: The mathematics curriculum in Indonesia and Australia at the Junior High School level is almost the same with a few differences, namely the focus on the profile of Pancasila students and providing more specific mathematical knowledge and skills to support the development numeracy and direct further fields of study in mathematics and other disciplines, so that it can add other aspects or components that researchers have never studied regarding the comparison of the mathematics curriculum in Indonesia and Australia. Novelty/Originality of this study: This analytical study of the comparative study of the Indonesian and Australian mathematics curriculum was conducted by citing various sources, namely articles, journals, official curriculum websites, books, and proceedings articles, thus providing a broader study of further studies on the development of the mathematics curriculum in Indonesia and Australia globally.
Analisis Kesulitan Siswa SMP dalam Memecahkan Masalah Statistika Berdasarkan Tahapan Polya Nursyahidah, Farida; Wardono, Wardono; Mariani, Scolastika; Wijayanti, Kristina
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27503

Abstract

Mathematical problem-solving skills are essential competencies in 21st-century education, particularly in statistics, where students must interpret data, analyze variability, and make informed decisions. However, many students experience significant difficulties when solving statistical problems. This study aims to analyze students' difficulties in solving statistical problems based on Polya's four stages of problem-solving: understanding the problem, developing a plan, implementing the plan, and looking back. This study uses a descriptive qualitative approach with 70 junior high school students in Semarang as subjects selected using a purposive sampling technique. Data were collected through written tests and semi-structured interviews. The findings revealed that students experienced difficulties in solving statistical problems based on Polya's stages were 45% of students were unable to complete the understanding stage, especially in identifying known information and organizing important information needed; 55% of students had difficulties at the planning stage, especially in selecting appropriate statistical procedures; 61% of students still had difficulties at the implementing stage of the plan; and 66% of students still had difficulties at the re-examination stage. This study provides implications for the development of integrated learning designs with real-world contexts and technology that emphasize structured problem-solving processes, thereby improving students' problem-solving abilities.
Co-Authors A.D. Parjayanti Adi Nur Cahyo Adi Nur Cahyono Adi Nur Cahyono Afit Istiandaru, Afit Agung Firmansyah agung setiawan Ahadi, Faiz Al Aini, Aulia Hurul Ali Shodiqin Ali Wardana Amalliyah, Nor Amin Suyitno Andi Saparuddin Nur Andi Saparuddin Nur Anggoro, Abdurrobbil Falaq Dwi Ani Rusilowati Ani, Nyree Annisa Indrawati, Fiqi Ardhi Prabowo Arief Agoestanto Arif Rahman Hakim Aristika, Ayu Ary Woro Kurniasih Asani, Fityan Asih, Tri Sri Noor Asmara, Maharani Atmaja, Satriya Adika Arif Aulia Hurul Aini Azmi, Anisa Luthifa Bambang Eko Susilo Bayu Murti Suryonegoro Budi Waluya Cahyo, Adi Nur Dani Kusuma Daniel Happy Putra Danieryanto, Erlia Dewi Fitriana Dewi Mashitoh, Nur Livia Dianawati, Rizki Nur Dr. Masrukan, Dr. Dwi Erna Novianti Dwijanto Dwijanto, Dwijanto Dyah Rini Indriyanti Ela Suryani Elis Fitria Herliani Emi Pujiastuti Endang Retno Winarti Faozi, Rizal Farida Nursyahidah Fathurrohman, Fani Laffanillah Febrian, Dheny Wawan Fitrianto Eko Subekti Gunawan Gunawan Handoko, Hendri Harwanti, Nur Achmey Selgi Hidayat, Yodie Nur Hidayati, Nita Hilda Arifani, Hilda Ifan Badra Wijaya Iqbal Kharisudin Ismail, Aldiansyah Isnaini Rosyida Isnaini Rosyida, Isnaini Isnarto Isnarto Isnarto, Isnarto Isnarto, Isnarto Iwan Junaedi Jannah, Reni Roikhatul Jerau, Emiliana Elsa Kartono , Khomsatun Dwi Nurhayati Kristina Wijayanti Kustiono Kustiono Kusuma, Bagus Jati Kusumawardani, Indah Ayu Kuswidyanarko, Arief Madyaratri, Dewi Yanwari Maemonah, Maemonah Masrukan Masrukan Mohammad Asikin Muhammad Iqbal Harisuddin Mulyono Mulyono Mulyono Mulyono Mulyono Mulyono Mulyono Nafisah, Haifa Nino Adhi, Nuriana Rachmani Dewi Nur Livia D Mashitoh Nuriana Rachmani Dewi Nurkaromah Dwidayati, Nurkaromah Nursiwi Nugraheni Oktaristanti, Widi Pratiwi Pamungkas, Reki Gilang Pertiwi, Rizki Dian Prabowo, Ardi Prihantoro, Irfan Fajar Priyonggo, Hendi Widi Puput Suriyah Putri, Marshanda Antika Putriaji Hendikawati Rahayuningsih, Rista Tri Rahmah Rahmah Rahmawati, Rofiqo Reni Roikhatul Jannah Ri'ah Nurhayati Riyan Hidayat Riyan Hidayat Riyanto Riyanto Rochmad - Rochmad Rochmad Rosita, Anik Sa'diyah, Ummi Khalimatus Saefurrochman, Wisatsana Roychan Saiful Ridlo Sakinah, Zidna Nurus Scolastika Mariani SETYANINGSIH, HESTI Sri Haryani St. Budi Waluya Subarkah, Muhamad Rizki Sugianto - Sugiman Sugiman Sukestiyarno Sukestiyarno Sukestiyarno, YL. Sumliyah, Sumliyah Supriyono Supriyono Suryati Suryati Suryonegoro, Bayu Murti Tommy Tanu Wijaya Tri Wahyuningsih Umami, Nafisatun Uswatun Hasanah Utami, Ulfany Fitri Vita Istihapsari, Vita Wahyu Ridlo Purwanto Wahyuningtyas, Ratna Walid , Walid Walid Walid, Walid Wesna, Merry Wicaksana, Yoga Widi Pratiwi Oktaristanti Widyaswara, Ikha Brillyani Wigati, Trinil Wijaya, Ifan Badra Winardi Winardi Windarti, Desti Hana Y.L. Sukestiyarno Yanto, Muhammad Dwi YL Sukestiyarno YL. Sukestiyarno Yohanes Leonardus Sukestiyarno Yoni Sunaryo Zaenal Abidin Zaenuri Mastur Zaenuri Zaenuri Zahra, Mega Dea