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All Journal Kontinu: Jurnal Penelitian Didaktik Matematika JIPMat (Jurnal Ilmiah Pendidikan Matematika) AKSIOMA E-Dimas: Jurnal Pengabdian kepada Masyarakat HISTOGRAM: Jurnal Pendidikan Matematika Union: Jurnal Ilmiah Pendidikan Matematika Indiktika : Jurnal Inovasi Pendidikan Matematika JURNAL PENDIDIKAN TAMBUSAI Teorema: Teori dan Riset Matematika Journal on Education M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Delta: Jurnal Ilmiah Pendidikan Matematika Imajiner: Jurnal Matematika dan Pendidikan Matematika Jurnal Riset Pembelajaran Matematika PHI: Jurnal Pendidikan Matematika Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) SEPREN: Journal of Mathematics Education and Applied Eksponen Mosharafa: Jurnal Pendidikan Matematika Integral : Jurnal Penelitian Pendidikan Matematika SCIENCE : Jurnal Inovasi Pendidikan Matematika dan IPA Jurnal Pengabdian Kepada Masyarakat Patikala Journal of Advanced Sciences and Mathematics Education Jurnal Vokasi Kesehatan Rangkiang Mathematics Journal Jurnal Pendidikan Sang Surya Euclid JNPM (Jurnal Nasional Pendidikan Matematika) Pelita: Jurnal Pengabdian kepada Masyarakat Jurnal Siti Rufaidah Jurnal Pendidikan Guru Profesional
Lukman Harun
Universitas PGRI Semarang
Humanities Biochemistry, Genetics & Molecular Biology Chemistry Decision Sciences, Operations Research & Management Dentistry Economics, Econometrics & Finance Education Health Professions Immunology & microbiology Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Neuroscience Nursing Physics Public Health Social Sciences Other

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ANALISIS PROSES BERPIKIR SPASIAL SISWA DALAM MENYELESAIKAN PERMASALAHAN GEOMETRI DENGAN KONTEKS BUDAYA MASJID AGUNG DEMAK Nadia Nur Padmasari; Muhtarom Muhtarom; Lukman Harun
SCIENCE : Jurnal Inovasi Pendidikan Matematika dan IPA Vol. 6 No. 2 (2026)
Publisher : Pusat Pengembangan Pendidikan dan Penelitian Indonesia (P4I)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51878/science.v6i2.10446

Abstract

This research is motivated by the low spatial thinking ability of junior high school students in geometry, especially in visualizing three-dimensional objects and mental manipulation. The focus of the problem is directed at an in-depth analysis of students' spatial thinking processes when solving geometry problems based on the cultural context of the Great Mosque of Demak in terms of Van Hiele's theory. The research method applied is descriptive qualitative through purposive sampling of students who have been previously categorized. The research stages include a geometry ability test on twenty-one students, working on culture-based problems, and semi-structured interview observations. The identification results show eight students with low abilities, eleven with medium abilities, and two with high abilities. The findings reveal significant variations at each cognitive level. Low-ability students were only able to reach the basic visualization stage and experienced obstacles in the aspects of relations and transformation. Medium-ability students showed adequate mastery of visualization and orientation, but were not optimal in reasoning and reflection. In contrast, high-ability students managed to master all spatial indicators comprehensively and optimally. These findings confirm that the level of Van Hiele's geometry ability has a crucial influence on the development of spatial thinking processes in the context of local ethnomathematics. The main conclusion is that the integration of cultural context is able to reveal the depth of mental representation, so that geometric ability becomes the main predictor of success in solving spatial problems logically through a deep and measurable cultural approach in secondary schools. ABSTRAK Penelitian ini dilatarbelakangi oleh rendahnya kemampuan berpikir spasial siswa SMP dalam geometri, khususnya dalam memvisualisikan objek tiga dimensi dan manipulasi mental. Fokus masalah diarahkan pada analisis mendalam proses berpikir spasial siswa saat menyelesaikan soal geometri berbasis konteks budaya Masjid Agung Demak ditinjau dari teori Van Hiele. Metode penelitian yang diterapkan adalah kualitatif deskriptif melalui purposive sampling terhadap siswa yang telah dikategorikan sebelumnya. Tahapan penelitian meliputi tes kemampuan geometri terhadap dua puluh satu siswa, pengerjaan masalah berbasis budaya, serta observasi wawancara semiterstruktur. Hasil identifikasi menunjukkan delapan siswa berkemampuan rendah, sebelas sedang, dan dua berkemampuan tinggi. Temuan mengungkapkan variasi signifikan pada setiap tingkatan kognitif. Siswa berkemampuan rendah hanya mampu mencapai tahap visualisasi dasar dan mengalami hambatan aspek relasi serta transformasi. Siswa berkemampuan sedang menunjukkan penguasaan visualisasi dan orientasi memadai, namun belum optimal dalam penalaran dan refleksi. Sebaliknya, siswa berkemampuan tinggi berhasil menguasai seluruh indikator spasial secara menyeluruh dan optimal. Temuan ini menegaskan tingkat kemampuan geometri Van Hiele memiliki pengaruh krusial terhadap perkembangan proses berpikir spasial dalam konteks etnomatematika lokal. Simpulan utamanya adalah integrasi konteks budaya mampu mengungkap kedalaman representasi mental, sehingga kemampuan geometri menjadi prediktor utama keberhasilan menyelesaikan masalah ruang secara logis melalui pendekatan budaya yang mendalam dan terukur di sekolah menengah.  
Analysis of Student Needs in Interactive Multimedia-Based Mathematics Learning to Improve Problem-Solving Skills Using the Design Thinking Method Fina Ismatul Uyun; Lukman Harun; Muhtarom Muhtarom
JURNAL PENDIDIKAN MATEMATIKA Vol. 10, No. 1: May 2026
Publisher : Universitas Islam Sultan Agung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30659/kontinu.10.1.143-159

Abstract

The main problem in this study is that many students consider mathematics a difficult subject to learn, which results in a lack of student motivation and passive, less participatory mathematics learning between teachers and students. This study aims to explore solutions to problems that arise in mathematics learning through the design thinking method, as outlined by David Kelley, which consists of 5 stages: empathize, define, ideate, Prototype, and test. In this problem exploration, 3 stages are used: empathize, define, and ideate to generate solution ideas from several possible solutions. The study population comprised 25 eighth-grade students and 3 mathematics teachers at SMP Al Islam, Mts Fathul Huda, and SMPN 2 Sayung. Data were collected using a Google Form questionnaire. The results of the data obtained are then analyzed from the empathize to the define stage. The results of this study indicate that the problem-based learning model, supported by GeoGebra and Canva, can improve students' problem-solving abilities. Based on the results of this exploration, researchers developed interactive media using the design thinking method to improve problem-solving abilities.  Keywords: mathematics, interactive media, problem solving
Design of Assessment Instrument for Mathematical Critical Thinking Indicators-Based Essay Questions for Vocational and High School Students Using the Rasch Model Jarot Rudi Hartato; Nizaruddin Nizaruddin; Lukman Harun
JURNAL PENDIDIKAN MATEMATIKA Vol. 9, No. 2: November 2025
Publisher : Universitas Islam Sultan Agung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30659/kontinu.9.2.208-233

Abstract

This research aims to create a measurement tool for Critical Thinking Skills (CTS) in mathematics. The instrument was analysed using the Rasch model. The analysis was conducted to determine the results of the content validity test (item suitability), reliability test, dimensionality test (construct validity), person separation test, and item separation, and to analyse the items' difficulty level. This research uses the R&D model with the 4D model. Data collection methods through interviews with two teachers, literature studies to determine CTS indicators, questionnaire validation of CTS test instruments, and CTS test questions given to students. The sampling technique used was saturated sampling. The indicators of CTS are Interpretation, analysis, evaluation, and inference. The results for each instrument item are valid; construct validity is good, reliability is sufficient, and Cronbach's alpha is 0.68. The results of the person separation analysis show that students are divided into two groups, and item separation shows that the questions are divided into five groups. The measure (logit value) analysis results show that the interpretation indicator question is easy, the analysis indicator question is very difficult, the evaluation indicator question is moderate, and the inference indicator question is difficult. This research fills the literature gap by developing CTS indicator-based instruments validated by the RASCH approach, which has not been widely applied in SMA / SMK. Keywords: Critical Thinking, Test Instrument, Rasch Model
Co-Authors Achmad Buchori Agnita Siska Pramasdyahsari, Agnita Siska Agus Supriyanto Agus Supriyanto Ahmad Nashir Tsalatsa Anisyah Pratiwi Putri Arsy, Cipta Wahyu Widi Aryo Andri Nugroho Asep Amam Ashari, Widya Aulia Asmahani Maulidita Asokawati, Indhi Aunul Ma'bud Aurora Nur Aini Aurora Nur Aini Cahya Aulia Ramadhan Yuwana Darwati Darwati Dewi Wulandari Difa Aziza Dina Prasetyowati Dwi Mayangsari Dwi Tari Aprila Dyaisa Algustavia Sekar Widolaksono Eko Sugiyono Elyna Agus Tina Era Widia Sary Evy Noorhasanah Faradhita, Arlinda Farida Nursyahidah Febrian Murti Dewanto Fina Ismatul Uyun Fitri Novitasari Hartati Hartati Heni Purwati Hiryadi Hiryadi Ida Dwijayanti Iva Desi Ruliani Jarot Rudi Hartato Kartinah Kartinah, Kartinah Khairunnisa Khurniati, Noor Laila Kresni Winanti Kresni Winanti Lianti Lilik Ariyanto Lilik Ariyanto M Syafwani Maharani Desvera Putri Marsha Habibah Marwia Tamrin Bakar Masruhan Mufid Maulina, Via Meinalufi, Yuyun Muchamad Subali Noto Muhammad Hasanul Muna Muhammad Prayito Muhtarom muhtarom Muhtarom Muhtarom Nadia Nur Padmasari Nafiqoh Elsa Kartikaningtyas Natasya Pratiwi Nisrina Fatin Nizaruddin Nizaruddin Nor Isna Tauhidah Novia Indriyati Noviana Dini Rahmawati Noviana Dini Rahmawati Nur Istianah Padmi Susilawati Pratiwi, Gita Dian Putri Ayu Trihara Putriana, Difa Rasiman Reasty Amanda Reza Putri Widari rifa'i, irfan Rizky Esti Utami, Rizky Esti Sugiyanti Sugiyanti Sugiyanti Supandi Sutrisno Sutrisno Tri Widyastuti Wahyu Hidayat Widya Kusumaningsih Wilda Febriana Wijayanti Yanuar Hery Murtianto Yulyanti Harisman