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All Journal International Journal of Evaluation and Research in Education (IJERE) Cakrawala Pendidikan Jurnal Pendidikan Matematika Undiksha Jurnal Pendidikan Sains Jurnal Sekolah Dasar Journal on Mathematics Education (JME) Jurnal Infinity Jurnal Pemikiran dan Pengembangan Sekolah Dasar (JP2SD) Journal on Mathematics Education (JME) Kontinu: Jurnal Penelitian Didaktik Matematika AKSIOMA: Jurnal Program Studi Pendidikan Matematika JIPM (Jurnal Ilmiah Pendidikan Matematika) Edu Sains: Jurnal Pendidikan Sains dan Matematika EDU-MAT: Jurnal Pendidikan Matematika Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan AKSIOMA Briliant: Jurnal Riset dan Konseptual Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Sekolah Dasar: Kajian Teori dan Praktik Pendidikan Jurnal Kajian Pembelajaran Matematika Al Ishlah Jurnal Pendidikan KALAMATIKA Jurnal Pendidikan Matematika JRPM (Jurnal Review Pembelajaran Matematika) Jurnal Penelitian Pendidikan IPA (JPPIPA) JMPM: Jurnal Matematika dan Pendidikan Matematika PRISMA JOHME: Journal of Holistic Mathematics Education Pi: Mathematics Education Journal JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Cendekia : Jurnal Pendidikan Matematika QARDHUL HASAN: MEDIA PENGABDIAN KEPADA MASYARAKAT Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika EDUPEDIA JTP - Jurnal Teknologi Pendidikan JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) International Journal of Insights for Mathematics Teaching (IJOIMT) Indonesian Journal of Electrical Engineering and Computer Science Jurnal Paedagogy Ideguru: Jurnal Karya Ilmiah Guru Padaringan : Jurnal Pendidikan Sosiologi Antropologi Mosharafa: Jurnal Pendidikan Matematika Early Childhood and Family Parenting Journal International Journal of Progressive Mathematics Education JCP (Jurnal Cahaya Pendidikan) Fakultas Keguruan dan Ilmu Pendidikan Journal of Disruptive Learning Innovation (JODLI) Journal of Advanced Sciences and Mathematics Education Inovasi Matematika (Inomatika) Journal of Innovation and Research in Primary Education Research and Development in Education (RaDEn) Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya Pi: Mathematics Education Journal Electronic Journal of Education, Social Economics and Technology Jurnal MIPA dan Pembelajarannya MATHEdunesa International Journal of Trends in Mathematics Education Research (IJTMER) Jurnal Penelitian Pendidikan Indonesia Jurnal Infinity Jurnal Pendidikan MIPA Journal on Mathematics Education
Cholis Sa’dijah
Universitas Negeri Malang
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A Dual-Construct Assessment Model of Creative Mathematical Reasoning and Critical Thinking in Primary Education: Development and Psychometric Validation Alfaris, Renaldy; Sa’dijah, Cholis; Nusantara, Toto; Pratiwi, Nike; Arifin, Slamet
Journal of Innovation and Research in Primary Education Vol. 4 No. 1 (2025)
Publisher : Papanda Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56916/jirpe.v4i1.782

Abstract

Higher-order mathematical thinking encompasses both intuitive and creative cognitive processes, yet existing assessment frameworks collapse these into undifferentiated composites, limiting diagnostic precision and theoretical clarity. This study developed and validated a dual-construct assessment instrument measuring Mathematical Intuition (MI) and Creative Mathematical Reasoning (CMR) within the Number domain. Ten open-ended tasks were administered to 140 Grade 5 students selected through cluster sampling. Instrument validation involved expert review, Exploratory Factor Analysis (EFA), and Confirmatory Factor Analysis (CFA). Reliability was assessed using Cronbach's Alpha and Composite Reliability, while construct validity was evaluated through Average Variance Extracted and the Fornell–Larcker criterion. EFA identified two distinct factors explaining 71.2% of cumulative variance (CMR: 39.8%; MI: 31.4%), with factor loadings ranging from 0.68 to 0.86. CFA confirmed the two-factor model's superiority over a unidimensional alternative (ΔCFI = 0.08; ΔRMSEA = 0.03). Both constructs demonstrated strong reliability (α > 0.85; CR > 0.90), convergent validity (AVE > 0.50), and discriminant validity, with a moderate latent correlation (r = 0.62). The findings establish that MI and CMR are structurally separable yet functionally interdependent dimensions of mathematical cognition, consistent with dual-process theory. The validated instrument enables educators to diagnose reasoning difficulties at both the generative and elaborative phases, advancing both measurement precision and instructional targeting in primary mathematics education.
ANALISIS PENALARAN SISWA DALAM MENYELESAIKAN MASALAH BANGUN DATAR DITINJAU GAYA BELAJAR DAN MOTIVASI BELAJAR SISWA SMP Azizah, Putri Nur; Sa’dijah, Cholis; Sudirman, Sudirman
JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Vol 12, No 1 (2026)
Publisher : Universitas Bhinneka PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29100/jp2m.v12i1.8792

Abstract

It is important for students to have reasoning skills in learning mathematics. This is due to the relationship between mathematics and reasoning. This research aims to determine students' reasoning abilities in solving flat shape problems in terms of learning styles and learning motivation of junior high school students. This type of research is descriptive qualitative. The subjects in this research consisted of six class VIII students selected from a junior high school in Malang City, namely one student with a visual learning style and high learning motivation; one student from a visual learning style and low learning motivation; one student from an auditory learning style and high learning motivation; one student from an auditory learning style and low learning motivation; one student from the kinesthetic learning style and high learning motivation and one student from the kinesthetic learning style and low learning motivation. Research data was taken from learning style questionnaires, learning motivation questionnaires, written tests and interviews. The data analysis techniques in this research are data reduction, data presentation, and drawing conclusions. The research results showed that students who had visual, auditory and kinesthetic learning styles with high learning motivation met all the reasoning indicators, while students who had visual, auditory and kinesthetic learning styles with low learning motivation did not meet all the reasoning indicators.
Co-Authors Abdul Halim Abdullah Abdul Haris Rosyidi Abdul Haris Rosyidi Abdul Jamil Abdul Jamil Abdullah, Abdul Halim Abdur Rahman As’ari Abdur Rohim, Abdur Agus Hidayat Agus Setiawan Agus Setiawan Ahmad Farid Haebah Ahyansyah, Ahyansyah Ainun Naziya Rohmah Akhmad Riandy Agusta Akmalia, Yuyun ALFARIS, RENALDY Alfiani Athma Putri Rosyadi Alifiana Mareta Anggara Dwinata Anita Dewi Utami Aprilia Dwi Mayangsari Aribowo, Bayu Exsanty Arif Yunet Priyo Tatagno Arik Murwanto Ariyadi Wijaya Arnellis, Arnellis Asih Kurnia Asih Aura Sya’banningrum Aynin Mashfufah Azizah Nur Laily Rahmawati Bagus Cahyanto Chusnul Ma'rifah Chusnul Ma'rifah Dedi Kuswandi Deni Hamdani Desi Rahmadani Desyandri Desyandri Dewi Astutik Dewi Astutik Dewi, Aulia Rahma Dian Wardhani Dyah Triwahyuningtyas Dyah Triwahyuningtyas Dyaswardani, Hapsari Eddy Sutadji Edy Bambang Irawan Eka Damayanti Eka Damayanti Eko Waluyo Emy Yunita Rahma Pratiwi, Emy Yunita Rahma Erry Hidayanto Ery Tri Djatmika RWW Ety Tejo Dwi Cahyowati Fatikh Inayahtur Rahma Fimmatur Rizka Ardina Fimmatur Rizka Ardina, Fimmatur Rizka Firdaus Dyah Utami Firdha Mahrifatul Zana Firdha Mahrifatul Zana Firman Tsabbit Abqari Fithriyah, Inayatul Fitri Kumalasari Flavia Aurelia Hidajat, Flavia Aurelia Galuh Putri, Yuniar Heksaria Hajjah Rafiah Handayani, Ucik Fitri Hanurawan, Fattah Heni Pujiastuti Henry Praherdhiono Herawati Susilo Heri Purnomo Heri Setiawan Heri Susanto Herti Prastitasari Hery Susanto Hery Susanto Hidayah, Irma Rachmah Himmatul Ulya Huljannah, Miftha Husniyah, Hana Kholifatul I Ketut Suada I Made Arnawa I Made Sulandra I Nengah Parta I Nyoman Sudana Degeng I Wayan Dasna Ika Ratih Sulistiani Imam Rofiki Imelda Dastania Pradani Imro'atul Mubarokah Imro'atul Mubarokah Indriati Nurul Hidayah Intan Sari Rufiana Istiqomah, Roshydatul Itsnaniya Fatwa Nurani Khafidhoh Nurul Aini Khalimatus Syuhriyah Khusnil Khatimah Khusnul Khotimah Kristayulita Kristayulita Kumala, Shifni Afida Kusumaningtyas, Nopem Labuem, Susana Lathiful Anwar Latifah, Eka Ratna Anjanuarti Laurentcia Noviafta Widya Lenita Puspitasari Luluk Faridatuz Zuhroh Luluk Wahyu Nengsih M. Misbachul Huda Maimunah Maimunah Maimunah, Maimunah Makbul Muksar Mandala, Arif Sapta Martini Dwi Purnama Maulidiyah Tutut Nurjanah Miftha Huljannah Mila Sekar Ayu Mohamad Aminudin Mohammad Akbar Mubarokah, Imro'atul Muhammad Ainur Rizqi Muhammad Kharis Muhammad Noor Kholid Muhana Gipayana Muhana Gipayana Mujiyem Sapti Mujiyem Sapti Mukhlis Mukhlis Mulia, Abigail Christina Murpratiwi, Gendis Murwanto, Arik Nafi Isbadrianingtyas Nazila Naf’atu Fina Nita Retno Wahyuningati Novitasari, Herawati Nugraheni, Dinda Dwi Nur Inayah Ahlan Nur Kharisma Widya Agustin Nurrahmawati Nurrahmawati Nurrahmawati Nurul Audhifa Utami Oktaviana, Lucky Tri P Purwanto Permadi, Hendro Pity Asriani Pranata, Syalshabil Shafa Pratiwi, Nike Punaji Setyosari Purnomo, Purnomo Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwosetiyono, Fransiskus Xaverius Didik Puspitasari, Septi Putri Nur Azizah, Putri Nur Putri, Novi Rahmadani Putri, Novi Rahmadhani Qohar, Abd. Rahmawati, Azizah Nur Laily Ramdhan Fazrianto Suwarman Ratri Rahayu Renika Arisinta Resyarusyda Parandrengi Ria Norfika Yuliandari Rini Nurhakiki Risa Utaminingsih Rizka Riana Rizka Zulvana Wardhani Rizky Nova Damayanti Rizqi, Muhammad Ainur Rustanto Rahardi Sa'dun Akbar Saad, Muhamad Ikhwan Mat Saiful Anwar Saputri, Risma Rintias Sari, Feti Eka Ratna Sari, Marinda Rosita Satrio Agung Prabowo Sepharyanto Sepharyanto Sisworo Sisworo, S Siti Chusnia Siti Lailiyah Siti Salina Mustakim Slamet Arifin Sri Subarinah Styo Mahendra Wasita Aji Subanji Subanji Subanji Suci Zuhriati Sudirman Sudirman Sudirman Suherman, Suherman Sukoriyanto Sumarmi Susiswo Suwanti, Vivi Suwito, Ruth Widyati Swasono Rahardjo Syadidah, Pratama Fitri Syamsul Hadi Syifa’ul Amamah Tatik Retno Murniasih Titik Harsiati Tjang Daniel Chandra Tomi Listiawan Toto Nusantara Vinarahmah, Aula Rizqi Vita Kusumasari Wahyu Nurlaili Wasilatul Murtafiah Widi Ardianto Widya, Laurentcia Noviafta Wikan Budi Utami Yerizon Yerizon Yudhi Hanggara Zana, Firdha Mahrifatul Zukhrufurrohmah, Zukhrufurrohmah Zulnaidi, Hutkemri