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Journal : Journal on Mathematics Education

The potential problem to explore students’ functional thinking in mathematical problem-solving Tarida, Luthfiana; Budiarto, Mega Teguh; Lukito, Agung
Journal on Mathematics Education Vol. 16 No. 1 (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.v16i1.pp275-298

Abstract

Many studies have reported that functional thinking plays a crucial role in mathematical problem-solving, particularly in fields requiring analytical reasoning, such as maritime studies. However, existing research has yet to comprehensively explore the specific task characteristics that effectively stimulate functional thinking in mathematical problem-solving, particularly among maritime students who must apply these skills in solving safety-of-life problems at sea. Addressing this gap, the present study investigates the potential of mathematical tasks in fostering functional thinking among second-semester students enrolled in the Deck Officer Program in Indonesia. The study involved three students with different mathematical abilities, who were given problem-solving tasks. Their responses were observed, recorded, and analyzed based on their written work. The findings reveal that non-routine problems involving functional situations—where students generalize relationships between varying quantities to determine function rules—effectively promote functional thinking. This is evidenced by the emergence of key functional thinking components, including problem identification, data representation, pattern recognition, covariational and correspondence relationships, and the evaluation of generalization rules. These results contribute to the development of research instruments in mathematics education and provide valuable insights for researchers and educators seeking to enhance functional thinking through task design.
Co-Authors A.A. Ketut Agung Cahyawan W Abadi Ade Irfan Ali Djamhuri Ali Shodikin Aminah Ekawati Auliya, Elok Rizqi Ayun, Qurrota BADRIQUL MUDRIK, MOH Bahri, Akhmad Syaiful BUDI RAHADJENG Dayat Hidayat Destina Wahyu Winarti Didik Sugeng Pambudi Dwi Juniati Farman Fatimatul Khikmiyah Fatmanissa, Namirah Fiantika, Feny Rita FIQIH ARINA, FIRDA Fitmawati, Entya Esa Fitriyani Hali, Fitriyani Frans Van Gallen Hali , Fitriyani Hamdi, Rajib Syahrul Helti Lygia Mampouw Herlina I Ketut Budayasa Indarasati, Nanda Ayu INDRIANI, ENY Jamhari Jamhari Janet Trineke Manoy Kamirsyah Wahyu Kamirsyah Wahyu, Kamirsyah Khikmah, Khusnia Nurul Kukuh Widodo Latifah Nuryah Lestari, Dinar Dwi Putri LOKA DEWI, FITA M. Sholahuddin Al Ayubi Julian Rosul Manuharawati MASRIYAH Maulana, Dimas Avian Mega Teguh Budiarto Misu, La Mohammad Edy Nurtamam, Mohammad Edy MUHAMMAD HASBI Mustangin Mustangin Muzaini, Muhammad Naufal Ishartono Ndayizeye, Oscar Neni Mariana Ni'mah, Zaidatun Ningtyas, Devi Yuniarti Novia Sari Susanti NUFUS, ATIROTUN Nur Wahyuni Nurul Amalia OKTA ARIYATI, GITA RADEN SULAIMAN Rahmawati, Anis Wahyu RAHMAYANTI KHUMAIRO, DESY Ramlah Ramlah Ratna Sari Dewi Rini Setianingsih Rita Lefrida Rosdiana Rosdiana Saleh Saleh, Saleh Sari, Ria Fibriana Septhiana Indra Kusumaningtyas, Septhiana Indra Sholli, Amirul Khumaini Siswono, Tatag Y. E. Siti Maghfirotun Amin Sitti Maesuri Patahudin Sofro, A'yunin St. Suwarsono Sugi Hartono, Sugi Suliani, Mega Susanah Susanah Sutinah Sutinah Tarida, Luthfiana Tatag Yuli Eko Siswono Umi Halimah, Umi Wahyu, Kamirsyah Wijaya, Henry Putra Imam YUSUF FUAD Zulnaidi, Hutkemri