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Journal : JPM : Jurnal Pendidikan Matematika

Analysis of Students Specializing and Generalizing Thinking in Three-Dimensional Geometry Jamiludin, Moh. Fauzi; Suwito, Abi; Susanto; Frenza
Jurnal Pendidikan Matematika (JPM) Vol 11 No 1 (2025): Jurnal Pendidikan Matematika (JPM)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Islam Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33474/jpm.v11i1.23346

Abstract

This research analyzes the thinking processes of students specializing and generalizing in solving problems related to three-dimensional geometry. The objective of this research is to clearly identify how the cognitive processes of specializing and generalizing assist students in comprehending and solving problems related to three-dimensional geometry. This study employed a descriptive qualitative method to investigate students’ problem-solving processes in three-dimensional geometry. Two ninth-grade students were selected through purposive sampling based on their mathematical abilities. Data were collected through task-based interviews and analyzed using qualitative coding to identify key problem-solving strategies and cognitive processes based on their ability to demonstrate specializing and generalizing thinking. Data were collected through geometry problem-solving tasks and unstructured interviews, and analyzed using Stacey’s cognitive framework of mathematical thinking. The result of study reveal that the students demonstrated two distinct forms of schematic representation in their problem-solving processes. Subject 1 employed a pure schematic representation and subject 2 utilized a mixed schematic representation. These two forms of representation enable students to identify patterns and apply the concepts they have learned in a broader context. The findings indicate that students exhibit distinct cognitive patterns in specializing and generalizing, with a predominant reliance on visual reasoning in spatial geometry problem-solving. While some students transition effectively between these two processes, others face difficulties in generalizing abstract concepts
Co-Authors Abi Suwito Aini, Widya Ali Imron Amanda Diamontina Amin Hou Anggita Hani Nurhanis Anggraeni, RR. Dewi Anita Marwing, Anita Anjani Putri Afrianti Aprih Santoso Atmoko Nugroho Ayuning Budiati Basworo Ardi Pramono Benny Lim Bhanu Prakash Nunna Chotamul Fajri Cici Handayani, Cici Daniaty, Hestining Deri Herdawan Dewi Wulandari Dewi, Ester Yunita Didik Iswadi, Didik Eddy Ema Farida Endi Arofa Fajar Mulya Adhi Pradana Fajri, Chotamul Fauzi, Amiratul Muhsinah Felix Leonardi Firmansyah, Frenza Fairuz Frenza Fridayani Hamdany, Mohammad Azharie Hardianti Hasbullah, Firman Hermawan, Widiantoni Heru Kurnianto Tjahjono Ika Puspa Satrianny Imanuddin, Iman Indriani, Iin Irman Ramdhan Fauzi Jamiludin, Moh. Fauzi KEMAL BIMA NUGRAHA, ACHMAD Khaeroman Khuzaeni Lela Nurlela Lely Zakiah Gunsar M. Khalid Fredy Saputra Maulida, Sofia Meikol Benned Mochammad Imron Awalludin Monica Fortunata Mudji Prasetiyo Muhamad Iqbal Muhamad Iqbal Mulya Adhi Pradana, Fajar Musbikhin Naib Naufal Farhan Hidayatullah Nessa Riyadi Nikmah, Nafidatun Noviarianto, Noviarianto Numa, Alya Mahirotun Nur Syamsi Norma Lalla Nurhidayati Pramadjaya, Angga Pratito, Dwi Widi Raditya Feda Rifandhana, Raditya Feda Rahmayani, Sekar Ayu Ratih Amelia, Ratih Riau, Dwi Putranto RINI INDAHWATI Sairin Sarian, Hazen Mellai Xyza Saskia Satria Eureka Nurseskasatmata Setiawan, Roy Setiawan, Toto’ Bara Sholekhah, Elok Faradina Isnawaty Sidjabat, Sonya Sri Aprianti Tarigan Sri Purwati Sri Purwati, Sri Subarto Sugeng Rianto Sugeng Riyanto SUGIYANTO Suhendra Anjar Dinata Sukarna , Timotius SURYA NINGRUM, APSARI Suryawadana, Edy Suryawardana, Edy Theng, Bestadrian Prawiro Tina Kunti Anggraeni Tri Widyawati Turnya Tyofyan, Gigih Tegar Wahyono, Bambang Angkoso Wahyu Ari Putranto Wendy Asswan Cahyadi Widyakto, Adhi Wijaya, Elyzabeth Wulan Sari, Wulan Yuliana Yuliana Yusuf Supardi Zulfitra