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Journal : Journal on Mathematics Education

Students’ growing understanding in solving mathematics problems based on gender: Elaborating folding back Patmaniar; Amin, Siti Maghfirotun; Sulaiman, Raden
Journal on Mathematics Education Vol. 12 No. 3 (2021): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Students’ previous knowledge at a superficial level is reviewed when they solve mathematical problems. This action is imperative to strengthen their knowledge and provide the right information needed to solve the problems. Furthermore, Pirie and Kieren's theory stated that the act of returning to a previous level of understanding is called folding back. Therefore, this descriptive-explorative study examines high school students' levels of knowledge in solving mathematics problems using the folding back method. The sample consists of 33 students classified into male and female groups, each interviewed to determine the results of solving arithmetic problems based on gender. The results showed differences in the level of students' understanding in solving problems. Male students carried out the folding back process at the level of image having, formalizing, and structuring. Their female counterparts conducted it at image-making, property noticing, formalizing, and observing. Subsequently, both participants were able to carry out understanding activities, including explaining information from a mathematical problem, defining the concept, having an overview of a particular topic, identifying similarities and differences, abstracting mathematical concepts, and understanding its ideas in accordance with a given problem. This study suggested that Pirie and Kieren's theory can help teachers detect the features of students’ understanding in solving mathematical problems.
Students’ cognitive processes in solving problem related to the concept of area conservation Ekawati, Rooselyna; Kohar, Ahmad Wachidul; Imah, Elly Matul; Amin, Siti Maghfirotun; Fiangga, Shofan
Journal on Mathematics Education Vol. 10 No. 1 (2019): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

This study aimed to determine the cognitive process employed in problem-solving related to the concept of area conservation for seventh graders. Two students with different mathematical ability were chosen to be the subjects of this research. Each of them was the representative of high achievers and low achievers based on a set of area conservation test. Results indicate that both samples performed more cyclic processes on formulating solution planning, regulating solution part and detecting and correcting error during the problem-solving. However, it was found that the high achiever student performed some processes than those of low achiever. Also, while the high achiever student did not predict any outcomes of his formulated strategies, the low achiever did not carry out the thought process after detecting errors of the initial solution gained. About the concept of area conservation, the finding also reveals that within the samples’ cognitive processes, the use of area formula come first before students decided to look for another strategy such as doing ‘cut-rotate-paste’ for the curved planes, which do not have any direct formula. The possible causes of the results were discussed to derive some recommendation for future studies.
Co-Authors 'Aini, Siti Azzah Nur Abadi Abadi Abd. Kadir Jaelani Abdul Talib Bin Bon Achmad Nizar Afib Rulyansah Agung Lukito Agung Lukito AGUNG LUKITO Agung Lukito Agus nur fuad Ahmad Wachidul Kohar Alfath Famela Rokhim Aliya, Nafisatul Amaliya Sidikiyah Aminuyati Anggraeni, Astutik Anggraini, Astutik Anisah APRI PUSPITASARI, RICKE Asmawarni Astutik Anggraini Candra Mahardika CAROLINA SAVITRI, INTAN Chusnal Ainy Cut Khairunnisak Darin Fouryza Dede de Haan Destina Wahyu Winarti DIAN WIDIASTUTI, ATIK Djazilan, Sukron Dwi Juniati Eka Darmadi, Aditya Elfrida Ratnawati Elly Matul Imah Endah Budi Rahaju Evangelista Lus Windyana Palupi Evy Novia Nanda Artama Fadhilah Lailatul Maghfiroh faot, maria margaretha FAUZUL ADHIM, BIMA Febriana Kristanti, Febriana Fiangga, Shofan Fifi Khoirul Fitriyah Fitriani Rafikasari Frans Van Gallen fuad, Agus nur Gaenti Debiramasari Hadi Prawiro Handayani, Sri Hasanah, Munawaratul Herfa Maulina Dewi Soewardini Hery Setiawan I Ketut Budayasa Idayati, Nurul Indrati, Joeli Itsna Syahadatud Dinuriyah KAMILINA, ILMA Kamirsyah Wahyu Kamirsyah Wahyu, Kamirsyah Kasiyun, Suharmono Khumairoh, Binta Lailah, Zianatul Lathiful Anwar Lestari, Novita Dian Dwi Lestariningsih Lestariningsih Maghfiroh, Fadhilah Lailatul Malikatun Ngilman Nafiah Mariana, Risa Moch Lutfianto Muawanah Muawanah mufarrohah, sofiyatul Muhammad Sukron Djazilan MULYANI BM, SRI MUSLIMIN IBRAHIM Mustaji Mustaji Mustaji Mustaji, Mustaji Mustika Kurniasari Mustofa Mustofa Nafi'ah, Nafi'ah Nafiah Nafiah Nafiah Nafiah Nafiah, Nafiah Nafi’ah, Umi Neni Mariana Niken Wahyu Utami NILA DWI SUSANTI Nila lailatul Khoiro Noor Iffa, Siti Novita Dian Dwi Lestari Nur Indah Sylvia Nur Yum Saidah Nurhayati Nurhayati Nurvaida, Devi Patmaniar Patmaniar, Patmaniar Pawestri, Dwi Almy Pradnyo Wijayanti Prastiwi, Hangrainy Prawiro, Hadi Prihastuti, Haning Rachmaniah Mirza Hariastuti Raden Sulaiman RADEN SULAIMAN Rafikasari, Fitriani Rahmawati, Dwi Putri RENI PUJI ASTUTI, EKA Robiatul Adawiyah Robiatul Adawiyah Rofiatul Jannah ROHIM, NURUR Rooselyna Ekawati ROSSY KIRANA PRASTITI, ANDIKA Saidah, Nur Yum Saputri, Adinda Rizky Eka Septi Triyani Shoffan Shoffa Siti Khabibah Siti Khabibah Siti Nur Affiyah Siti Ulfia Soviana, Ana Sri Hartatik Sri Hartatik Sri Hartatik Suhartono Suhartono Susanto, Rudi Umar Tatag Yuli Eko Siswono UMMAH, ROCHMATUL Wahyu, Kamirsyah Wiryanto Wiryanto Yosep Dwi Kristanto YUSUF FUAD Zianatul Lailah Zuhroh, Salasatus