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Journal : Mathematics Education Journal

Mathematical Creative Problem-Solving: Students’ Cognitive Flexibility in Idea Generation and Evaluation Putri, Octavina Rizky Utami; Zukhrufurrohmah, Zukhrufurrohmah; Syaifuddin, Mohammad; Lanya, Harfin
Mathematics Education Journal Vol. 20 No. 1 (2026): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Learning experiences that rely on procedural memorization are insufficient to support students’ cognitive development in solving non-routine mathematical problems, as such contexts require cognitive flexibility to generate, evaluate, and adapt multiple solution strategies. This study aims to explore students’ cognitive flexibility activities in the phases of idea generation and idea evaluation through mathematical creative problem-solving. Using a multiple case study design, eight junior high school students from two different school contexts (public and private) participated in individual problem-solving and discussion activities. The research was conducted through three stages, namely: define and design, prepare–collect–analyze, and analyze–conclude. Data collected from written problem-solving tasks, video-recorded sessions, and follow-up discussions. Data were analyzed using NVivo 15 software through data condensation, data display, and cross-case conclusion drawing. The findings show that strategic and representational cognitive flexibility occurred in both idea generation and evaluation, with the latter occurring more frequently. These results highlight the importance of emphasizing idea evaluation in mathematics instruction to enhance students’ adaptive thinking and deepen their understanding when facing non-routine problems.
Co-Authors A.A. Ketut Agung Cahyawan W Aan Fadia Annur AAN SETIAWAN Abdul Khobir Abdulkadir Rahardjanto Achmad Mutaqin Adhelita Mai Zahra Afif Sulton Afifah, Silmi Afiyah, Nurul Agustin, Amelya Ahmad Aufal Marom Ahmad Faridh Ricky Fahmy Ahmad Ta'rifin Ahmad Taufiq Ahmad Taufiq Ahmad Ta’rifin Ahmad, Rohmanuddin Ainur Rofieq Akhmad Syahwanul Karim Alfiani Athma Putri Rosyadi Amrullah, Arfan Anggriawan Nugroho, Dicky Anisatul Haniah Aprilia Kartika Muhtar Arliyani, Isni Asih, Ria Arista Assidiq, Jimi Priyo Bagastyo, Arseto Yekti Bambang Kholiq Mutaqin Bhaskoro Prasetyo Adi Maryanto Bunga Salwa Cemara, alia_shofiana12 Cindy Indra Amirul Fiqri Daromi, Maulana Hudan Dewi Aliya Dewi Istiqomah Dewi Khoirun Nisa Dewi Khoirun Nisa' Dian Alviana Zahra Elfrida Rahmasari Elfrida Rahmasari Elia, Elia Nur Rohmah Farihatun Maulida, Salma Faris Azzam Husain Fella Sufah Qotrunnadya Fiqri, Cindy Indra Amirul Firyala Meitsa Mona Gunawan Santoso Haki, Ubay Harfin Lanya, Harfin Hidayah, Dwi Naili Hifdzi Haq, Muhammad Syafi' Ilham Muhammad Ilmi, Malika Kautsar Imam Prayogo Pujiono Imamiyah, Nuris Syarifatul Imas Saffanatul Aminah Imayati Kalean In’am, Akhsanul Irzaqi, M. Iftah Islamia, Urfah Jamil , Anis Farida JANUARDI, Ega Kalean, Imayati Kamilia Rahmah Khabib Jamalullail Khaidar Zamzami, Abid Khilwatissalamah Khozin, Khozin Kurniawati, Wiwit Kustini, Yurid Ilyuna Kusumaningsih, Mita Laila, Alfi Rachma Nisfi Lailatul Maghfiroh Lilik Riandita Lutfi Nofianto M Ruskhan Fauza M. Adin Setyawan Maulana Hudan Daromi Ma’mun Hanif Misbah, Hanim Moh. Mahfud Effendi Moh. Mahfud Effendi Muamalah Attaqwa Muchamad Fardan Mufidatuzzulfa, Nisa Muhammad Faisal Reza Muhammad Hamzah Muhammad Jembar Risky Muhammad Nurafni Junianto Muhammad Ridho Ardi Saputra Muhammad Rizki Cahyadi Muhammad Rizki Cahyadi Muhlisin Munif, Muchamad Murdiyanto, Murdiyanto Nada, Farah Qotrun Naila Alya Naili Nadhifah Nanang Ilham Fatih Naufal Niswatun Hasanah Niswatun Hasanah Niswatun Hasanah Niswatun Hasanah Nur Hayati4 Nur Kamaluddin akhmad Nur Khasanah Nur Khosiah Nur Laily Nur Rohmah Nuris Syarifatul Imamiyah Nurul Awwaliyatus Sa’adah Pratama, M. Akmal Prayogi, Arditya Putri, Agnes Aprilia Putri, Octavina Rizky Utami Qurrota A'yun Rahmad Sugianto Rahman, Anisur Rahmasari, Elfrida Rani Darmayanti Reni Dwi Susanti Reranta, Redika Cindra Retno Wahyu Arian Sah Reva Dwi Ariendra Ria Arista Asih Riki Nasrullah Rizal Dian Azmi Rizki, Nopia Rr. Eko Susetyarini Saputra, Dewa Satria Silvi Risqiani Singgih Setiawan Siti Inganah Siti Khoiruli Ummah Solahur Rizqi Suciati Sulaeman Sulaeman Susi Sulistyoningsih Syaiful Yamin Sylva Fahri Nailannaja Tanti, Nursya Sekar Teguh Santoso Ubed Badrudin Kamal Uswatun Chasanah Uswatun Khasanah, Nurul Utami, Octavina Rizky Putri Vidyastuti, Annisa Nurina Vina Oktavia Arriza Wahid, Zaki Abdul Wahyudi, Novianto Ade Widodo Hami Wurianto, Arif Yus Mochamad Cholily Zahra Mei Rahmawati Zahratusshiefa, Apriliana Nayla Zaqiya, Fadhila Nur Zukhrufurrohmah, Zukhrufurrohmah