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All Journal Pedagogi: Jurnal Ilmu Pendidikan Jurnal Infinity Kreano, Jurnal Matematika Kreatif-Inovatif International Journal of Education AKSIOMA: Jurnal Program Studi Pendidikan Matematika Madrasah: Jurnal Pendidikan dan Pembelajaran Dasar Jurnal Elemen Jurnal Kajian Pembelajaran Matematika Metathesis: Journal of English Language, Literature, and Teaching Jurnal Penelitian Pendidikan IPA (JPPIPA) JMPM: Jurnal Matematika dan Pendidikan Matematika JPM (Jurnal Pemberdayaan Masyarakat) INSPIRAMATIKA Unisda Journal of Mathematics and Computer Science (UJMC) Jurnal Tadris Matematika JURNAL EKSAKTA PENDIDIKAN (JEP) Jurnal Cendekia : Jurnal Pendidikan Matematika International Journal of Elementary Education Jurnal Pendidikan Matematika (Jupitek) M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika de Fermat : Jurnal Pendidikan Matematika Abdimas Universal Hipotenusa : Journal of Mathematical Society Range : Jurnal Pendidikan Matematika Jurnal Pedagogi dan Pembelajaran Nusantara Science and Technology Proceedings Hipotenusa: Journal of Research Mathematics Education (HJRME) Rainstek : Jurnal Terapan Sains dan Teknologi Jurnal Penelitian Pendidikan Matematika Edusentris: Jurnal Ilmu Pendidikan dan Pengajaran Unnes Journal of Mathematics Education Jurnal Pengabdian Masyarakat: BAKTI KITA J-ABDIPAMAS (Jurnal Pengabdian Kepada Masyarakat) Indonesian Research Journal on Education PEDAMATH: Journal on Pedagogical Mathematics Journal of Mathematical Pedagogy (JOMP) Jurnal Infinity Jurnal Tadris Matematika Jurnal Pendidikan Progresif Journal of the Indonesian Mathematics Education Society Jurnal Didaktik Matematika
Ali Shodikin
Universitas Negeri Surabaya
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Journal : Range : Jurnal Pendidikan Matematika

 1 
Proportional Reasoning of Junior High School Students in Solving Geometric Similarity Problems Based on Mathematical Disposition Rahmania Putri, Kartika; Shodikin, Ali; Abdullah, Abdul Halim
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 2 (2026): Range Januari 2026
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v7i2.9839

Abstract

Proportional reasoning is the foundation of mathematical abilities, including algebra, geometry, and statistics, and is influenced by students' mathematical dispositions. The transition from additive to multiplicative reasoning plays a crucial role in problem-solving. This study explores junior high school students' strategies in understanding geometric similarity through a qualitative case study involving three students in Surabaya selected through purposive sampling based on high, medium, and low mathematical dispositions This study uses a qualitative approach with a case study method.  The subjects of the study consisted of three eighth-grade students purposively selected to represent high, medium, and low mathematical disposition, allowing an in-depth examination of how different dispositions influence proportional reasoning. The instruments used were similarity problem worksheets and semi-structured interview guidelines. Data were collected through student answers and interviews, then analysed through data reduction, data presentation, and drawing conclusions. The results showed differences in proportional reasoning strategies according to mathematical disposition: S1 at level 3 (Formal Reasoning), S2 at level 2 (Quantitative Reasoning), and S3 at level 0 (Non-Proportional Reasoning). Proportional reasoning develops when quantity coordination and multiplicative strategies are used in an integrated manner, in line with each student's mathematical disposition. Student with high disposition consistently use ratio-based multiplicative strategies, student with medium disposition use multiplicative strategies, while student with low disposition tend to use additive rules or random approaches. These findings are exploratory and can serve as a basis for studying misconceptions and developing proportional learning.
Co-Authors Abdullah, Abdul Halim Abdur Rohim Adinda Aulia Rahmawati AGUNG LUKITO Ali muhajir, Ali Alvenna Nursyafira Angesti Gita Kartika Anik Novianti Anik Novianti, Anik Anisa Firdaus Asmana, Arezqi Tunggal Ayu Lestari Brigita Febi Valensiana Didan Rizky Adha Didan Rizky Adha Ekawati, Dea Wulan Erieza Dwi Pratiwi Erina Ellen Rusmana Faiqotul Himmah Faizah, Siti Febriani, Indri Rohmatul Fakhri Fernanda, Betita Nadia Fiyah, Mas Galleh Dwi Samudro Gita Ainul Hidayah Hendrik Furqon Hendrik Furqon Heny Ekawati Haryono Hidayati, Alifia Putri Hidayatul Maratin Holyness Nurdin Singadimedja Ida Ayu Putu Sri Widnyani Ihsani, Ulynnuha Aulia Imam Rofiki Imro’atus Solikha Indraswari, Annisa Yora Intan Sari Rufiana Ismah, Arina Izzatil Janet Trineke Manoy Khafidhoh Nurul Aini Khusnah, Khotimatul Kusnul Khotimah MASRIYAH Mohammad Nurwahid Mohammad Yusuf Randy Mudhiah, Siti Mustofah Mustofah Mutiari, Rahma Nabilah, Istianatun Nadiayah, Ishomah Nadifah, Lailatul Nazilatun Ni'mah Niawati, Zulin Nindya Tifa Novitasari Novandi Kevin Pratama Novandi Kevin Pratama Novandi Kevin Pratama Novandi Kevin Pratama Nugroho, Setiaji Nugroho, Setiaji Nur Imro’atus Solikha Nur Imro’atus Solikha Nur Imro’atus Solikha Nur Imro’atus Solikha Nurkumala, Silvia Eka Nurzatulshima Kamaruddin Oktavia, Siwi Putri Pratama, Novandi Kevin Prismahardi Aji Riyantoko Putri Dian Shafira Putri, Kharisma Dwisinta Rahaju, Endah Budi Rahayu, Tri Retno Rahmania Putri, Kartika Ramidha, Nur Fitriani Rika Nur Safitri Riska Fatikkatin Riyantoko, Prismahardi Aji Ri’ayatul Khoiriyah Rooselyna Ekawati Samudro, Galleh Dwi Sa’abdillah Abas Setiaji Nugroho Siti Amiroch, Siti Siti Daiyatul Hamidah Siti Faizah Siti Mudhiah Siti Nur Millah Slamet Arifin Sofiana, Inaz Iffarani Solikha, Nur Imro’atus Sri Rahayuningsih SUSANAH Susanah Susanah Sutardi Sutardi Syifaurrohman, Muhammad Huda Tatik Retno Murniasih Tatik Tatik Tri Ratna Rahayu Valensiana, Brigita Febi Wahyu Kyestiati Sumarno Wulandari, Hilaria Yesieka Ayu Yunis Setiyowati Yurizka Melia Sari