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All Journal Jurnal Infinity AKSIOMA: Jurnal Program Studi Pendidikan Matematika WARTA JIPM (Jurnal Ilmiah Pendidikan Matematika) Al-Jabar : Jurnal Pendidikan Matematika Al Ishlah Jurnal Pendidikan Resona : Jurnal Ilmiah Pengabdian Masyarakat Jurnal SOLMA CARADDE: Jurnal Pengabdian Kepada Masyarakat JURNAL PENDIDIKAN TAMBUSAI Jurnal PTK dan Pendidikan MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Buletin KKN Pendidikan Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika JURNAL ILMIAH GLOBAL EDUCATION Journal of Educational Technology and Learning Creativity Jurnal Tadris Matematika (JTMT) Asian Journal of Management, Entrepreneurship and Social Science Jurnal Infinity Proceeding International Conference on Mathematics and Learning Research Mathematics Education Journal Journal on Mathematics Education Jurnal VARIDIKA Indonesian Journal on Learning and Advanced Education (IJOLAE) Jurnal Didaktik Matematika
Muhammad Noor Kholid
Universitas Muhammadiyah Surakarta
Arts Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Environmental Science Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Journal : Journal on Mathematics Education

 1 
Classifying analogical thinking for mathematical problem-solving Kholid, Muhammad Noor; Fadhilah, Himmatul; Loc, Nguyen Phu; Magdas, Ioana Christina
Journal on Mathematics Education Vol. 15 No. 3 (2024): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v15i3.pp793-814

Abstract

Analogical thinking is a crucial strategy for mathematical problem-solving, enabling the discovery of solutions by identifying similarities between different problems. However, existing research needs a comprehensive classification of students' use of analogical thinking in this context. This study aims to develop a new classification framework for analogical thinking in mathematical problem-solving, emphasizing the identification and utilization of analogous methods between source and target problems. The research adopts a descriptive qualitative approach involving a purposive sample of 15 high school students from Surakarta, Central Java, who demonstrated analogical thinking in solving both source and target problems. Data collection was conducted through tests, observations, and interviews, with analysis performed using the constant comparative procedure (CCP). The findings reveal three distinct classifications of analogical thinking: pattern recognition (identifying common patterns to solve both source and target problems), variable utilization (using variables as symbolic tools for problem-solving), and visualization (applying graphical representations to address the issues). This study offers significant theoretical insights for future research and practical implications for applying analogical thinking in enhancing mathematical problem-solving.
Classification of inductive thinking in mathematical problem solving Kholid, Muhammad Noor; Syafif, Insiana Aribatunnisah
Journal on Mathematics Education Vol. 16 No. 2 (2025): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v16i2.pp633-650

Abstract

Inductive thinking is a method of thinking that involves recognizing patterns, understanding relationships, and deconstructing general rules. This method of thinking develops through a variety of factors that support complex problem solving. Using mathematical problems that describe the inductive thinking process within the context of number problems helps investigate students' inductive thinking process. This study, employing a qualitative descriptive research approach, seeks to develop a novel classification framework for students' inductive thinking in the context of mathematical problem solving. The study was conducted in a structured manner on 21 students enrolled in the Department of Mathematics during their fifth semester at a university in Indonesia using number sequence as the problem material. The collection of data was executed through the administration of tests and the observations of problem-solving behaviors. The analysis was conducted using constant comparative procedures (CCP). The instruments used in this study included mathematical problems and recording devices. The findings of this study are presented in the form of three different classifications of inductive thinking: the use of variables, the use of visual, and the use of formulae. The study offers significant theoretical insights for future research and practical implications for the implementation of inductive thinking in improving mathematical problem-solving.
Co-Authors Abdullah, Harits Adi Nurcahyo Adi Nurcahyo Aditya Laili, Luthfiana Afiyah, Asyifa Nur Ahadiyati, Arina Ahmad Zul Fakar Ahmad Zul Fakar Anatri Desstya Anggareni, Peni Anggoro Hermawan, Dwi Annisa Swastika Aprian Agung Kurniawan Arifin, Achmad Januar Arina Ahadiyati Arlinwibowo, Janu Arum, Sekar Mustika Astiani, Afifatul Ayu Asyifa Nur Afiyah Augustin, Azzahra Nadia Beauty, Melati Cholis Sa’dijah Christina Kartika Sari Dewi, Deshinta A Dias Aziz Pramudita Erry Hidayanto Fadhilah, Himmatul Fatah Yasin Al Irsyadi FATHULOH, RIDWAN Ferdianto, Juli Fuad Luky Atmaja Hastuti, Windi Hendrisa Rizqie Romandoni Hidayati, Miftachul Huda, Maskur Husodo, Herlang Duta Ika Candra Sayekti Indriyani Tri Jayanti Ismiyati, Ismiyati Janu Arlinwibowo Khofifah Titan Palupi Kusuma, Anton Adi Suryo Laili Etika Rahmawati Lestari, Winda Dwi Lingga Nico Pradana Loc, Nguyen Phu Magdas, Ioana Christina Mahmudah, Mutiara Hisda Mardiana Nissa Mark Angelo C Reotutar Masduki Maulida, Dini Wardani Ma’ulfi Kharis Abadi Miftakhul Djannah Minsih Mitasari, Dewi Mohamad Waluyo Mohammad Rifki Maulana Muhaimin, Lukman Hakim Muhamad Toyib Nanna, A.Wilda Indra Nasrulloh, Agung Naufal Ishartono Ningrum, Auliya Ningtyas, Yoga Dwi Windy Kusuma Nining Setyaningsih Nuqthy Faiziyah Nuriya Hazma Arifatul Ulya Nurul Hikmah Kartini Oktiatama, Firlana Bakti Permadi, Hendro Prasetyo, Wibowo Heru Pratama, Muhammad Alif Pratiwi, Enditiyas Rafiza binti Abdul Razak Rafiza binti Abdul Razak Ramadhan, Aldy Tri Ratnasari Diah Utami Razak, Rafiza binti Abdul Risda Putri Nugrahani Rosita Dewi S Sukimin Santosa, Yoga Tegar Setiadi, Arief Siti Hajar binti Halili Soraya Djamilah, Soraya Sri Rejeki Sri Sutarni Sukowati, Berliani Ardelia Sutama Swasti Maharani SWASTI MAHARANI Swasti Maharani, Swasti Syafif, Insiana Aribatunnisah Tiara Citra Maharani Firdaus Tika Andriani Tina Putri Alfiana Tonra, Wilda Syam Toto Nusantara Ulya, Nuriya Hazma Arifatul Vrapi, Asllan Waluyo, Mohamad Widia Yunita Widia Yunita, Widia Yasir Sidiq Yoga Dwi Windy Kusuma Ningtyas Yulia Maftuhah Hidayati Zayyadi, Moh Zeni Fadlila Agustina