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Journal : Journal on Mathematics Education

Exploring mathematical representations in solving ill-structured problems: The case of quadratic function Santia, Ika; Purwanto; Sutawidjadja, Akbar; Sudirman; Subanji
Journal on Mathematics Education Vol. 10 No. 3 (2019): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Mathematical representation has an essential role in solving mathematical problems. However, there are still many mathematics education students who have difficulty in representing ill-structured problems. Even though the ill-structured-problem-solving tasks designed to help mathematics education students understand the relevance and meaningfulness of what they learn, they also are connected with their prior knowledge. The focus of this research is exploring the used of mathematical representations in solving ill-structured problems involving quadratic functions. The topic of quadratic functions is considered necessary in mathematics teaching and learning in higher education. It's because many mathematics education students have difficulty in understanding these matters, and they also didn’t appreciate their advantage and application in daily life. The researchers' explored mathematical representation as used by two subjects from fifty-four mathematics education students at the University of Nusantara PGRI Kediri by using a qualitative approach. We were selected due to their completed all steps for solving the ill-structured problem, and there have different ways of solving these problems. Mathematical representation explored through an analytical framework of solving ill- structured issues such as representing problems, developing alternative solutions, creating solution justifications, monitoring, and evaluating. The data analysis used technique triangulation. The results show that verbal and symbolic representations used both subjects to calculate, detect, correct errors, and justify their answers. However, the visual representation used only by the first subject to detect and correct errors.
Co-Authors Aan Nurfahrudianto Ahmad Choirul Anam Akbar Sutawidjadja Am Ayu Kusuma Dewi Anam, Ahmad Choirul Anggraini, Novia Afriana Anjayani, Ririn Annisa Nur Kamilah Aprilia Dwi Handayani Aprilia Dwi Handayani Aprilia Dwi Handayani, Aprilia Dwi Aprillia Dwi Handayani Aprillia Dwi Handayani Ardiana Ardiana, Ardiana Arifah, Khusnul Axcelleosa Gloria Setiawan Bambang Agus Sulistyono Bambang Agus Sulistyono Candraningtyas, Tsatsabilla Diannira Darsono Darsono Darsono Darsono Darsono Darsono Dewi, Am Ayu Kusuma Dewi, Lusi Noviana Dian Devita Yohanie Yohanie Encil Puspitoningrum, Encil Fiantika, Feny Rita Hanny Cindy Prastica Hermawan, Tanto Hersiyati Palayukan Hima, Lina Ruhatul I Ketut Suada Ilham, Slamet Muhammad Imam Rofiki Ina Febrianti Irdani, Laili Rahma Jatmiko Jatmiko Jatmiko Jatmiko Jatmiko Jatmiko Jatmiko Jatmiko Kamilah, Assa'adatul Kariam, Betseba Karyawati, Karyawati Khasanah, Hanizyah Quswatul Kiky Ardhianti Kristianti, Lina Laili Rahma Irdani Larasati, Anggi Lina Rihatul Hilma lina Rihatul Hima Lina Rihatul Hima Lina Rihatul Hima, Lina Rihatul Lisa Deepsea Yofita Sani Mohammad, Nanda Nacaska Oktihsani Mulia, Parindra Mahardika Nacaska, Nanda Nanda Nacaska Oktihsani Mohammad Nuricahyati, Wendy Febia Pai’pinan, Matius Pangestu, Yorda Aditya Prasetyani, Tamara Jasmine Prastaningtyas, Efa wahyu Purnama, Sephia Rahayu Purwanto Purwanto Purwanto Purwanto Purwanto Putri Eka Sari PUTRI EKA SARI, PUTRI EKA Putri, Like Rizky Rochana, Siti Romadhoni, Alifvia Novita Putri Rudianto, April Samidjo Samidjo, Samidjo Samijo, Samijo Setyaningrum, Dita Siti Rochana Slamet Muhammad Ilham Subanji Subanji Subanji Sudirman Sulistyo, Bagus Suryo Widodo Susanto, Arya Bagas Sutawidjadja, Akbar Tamara Jasmine Prasetyani Vivi Kusumaningrum Wahyu Henky Irawan Wida, Ovilia Nur Widyawati, Irma Yulian, Felix Yudha Yuni Katminingsih Yuni Katminingsih Zayyadi, Moh