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Journal : Mathematics Education Journal

Exploration of Creative Mathematical Reasoning in Solving Geometric Problems Masfingatin, Titin; Murtafiah, Wasilatul; Maharani, Swasti
Mathematics Education Journal Vol. 14 No. 2 (2020): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Reasoning that is constructed from remembering is imitative reasoning, while the opposite is creative reasoning. This study aims to explore creative mathematical reasoning in solving geometric problems. Mathematical creative reasoning is reasoning that contains elements of novelty, plausibility, and mathematical foundation. This type of research is descriptive qualitative, which is explorative. The research subjects were the first-semester student in the mathematics education study program with 32 students. The results showed that from 32 students, there was only one student identified as having creative mathematical reasoning in solving geometry problems. Creative mathematical reasoning can be identified when the subject is able to reason algorithmically but is aware of problems so they cannot be resolved algorithmically so that they must form new reasoning, which consists of novelty, plausibility, and mathematical foundation. Creative mathematical reasoning arises after students make an algorithmic reasoning process, but find no solution. Novelty is the weakest indicator of creative mathematical reasoning, so it requires scaffolding to bring it up.
Exploring the Decision-Making Process of Pre-Service Teachers in Solving Mathematics Literacy Problems Murtafiah, Wasilatul; Lukitasari, Marheny; Lestari, Nurcholif Diah Sri
Mathematics Education Journal Vol. 15 No. 2 (2021): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Students’ lack of mathematical literacy skills is also accompanied by the lack of mathematical literacy skills of most pre-service teachers. The purpose of this study is to investigate the decision-making process conducted by pre-service teachers in solving mathematical literacy problems. This qualitative descriptive study involved two subjects taken from 42 pre-service mathematics teacher students. Each subject was identified based on their pattern in solving mathematical literacy problems correctly and inappropriately. Data were collected through tests of mathematical literacy problems and test-based interviews. The results showed that there were differences in the decision-making process done by the students with correct and incorrect problem solving, namely: (1) building ideas, having three vs. two solution ideas, formulating and employing correctly vs. formulating correctly and employing inappropriately; (2) clarifying ideas, giving reasons for each idea vs. having wrong reasons due to calculation errors, interpreting correctly vs. interpreting incorrectly; and (3) assessing the reasonableness of an idea, providing logical reasons with one choice vs. logical reasons with one choice but less sure. Based on the findings, it can be concluded that the creativity of prospective teacher students in building ideas is still low and reasoning in expressing and choosing ideas is still weak, causing immature decision making. The finding of this study provides suggestions for educators to provide structured assignments and for other researchers to find factors influencing pre-service teachers’ decision-making in mathematics problem-solving to improve pre-service teachers’ decision-making skills. DOI: https://doi.org/10.22342/jpm.15.2.13908.145-160
Co-Authors Abdillah Putra Maulana Abdur Rahman As’ari Agita Risma Nurhikmawati Agus Hari Sutrisno Ahmad Sukri Alifia, Revalina Putri Alvares, Joel I. Alvarez, Joel I. Alvarez, Joel l. Amita Tri Prasasti, Pinkan Anardani, Sri Anardani, Sri Anas Ahmadi Andi Mulawakkan Andi Mulawakkan Firdaus Andriyanto, Rizky Arin Safitri Aristiawan, Aristiawan Astuti, Indra Puji Ayu Andira Bambang Yulianto Binar Kurnia Prahani Budiarti, Erni Cerianing Putri Pratiwi Cerianing Putri Pratiwi Chiphambo, Shakespear Maliketi Cholis Sa’dijah Darmadi Darmadi Darmadi Darmadi Davi Apriandi Deri Fadly Pratama, Deri Fadly Detavia, Eleyana Dewi Ratih Mitra Dhea Alvita Nurcahyani Dian Kurniati Dian Ratnaningtyas Afifah Dian Ratnaningtyas Afifah, Dian Ratnaningtyas Didik Sugeng Pambudi Dwi Rosita Sari, Dwi Rosita Edy Suprapto Edy Suprapto Edy Suprapto Edy Suprapto Edy Suprapto Ella Nikmatul Laili Ella Nikmatul Laili, Ella Nikmatul Endang Sri Maruti Erna Susanti Erwanto, Moh Rizky Yoga Ety Tejo Dwi Cahyowati Fajar Arianto Fajar Subeqi, Ebitiya Faridah Hanim Yahya Farma Lestari, Nadia Putri Fatriya Adamura Fatriya Adamura Fatriya Adamura Febri Listianadewi Fida Chasanatun, Fida Firda Oktafian Firdaus, Andi Mulawakkan Firdaus, Andi Mulawakkan Fisabilillah, Ainun Fitri Annisa Fitria Sulistyowati Harmanto Harmanto Hartanto, Henri Yuli Hartanto, Henri Yuli Yuli Hartanto, Henry Yuli Hartono, Henry Yuli HASAN SUBEKTI Hasanah, Izza Umi Hendra Erik Rudyanto, Hendra Erik Herwandi Sape Hestu Wilujeng, Hestu Huljannah, Miftha Ika Krisdiana Ika Krisdiana Iswati Nuning Iva Yuni Listiani Jeffry Handhika Jeffry Handhika Jeffry Handhika Jeffry Handika Jeffry Handika Joel I. Alvares Juniar Retno Anggraini Khasanah, Qurul Khasanah Kholifah, Titik Siti Komala, Griselda Grahita Krisdayanti, Irene Kristiani, Wahyu Lathiful Anwar Layli Hidayah Lestari, Nurcholif Diah Sri Lingga Nico Pradana Lukitasari, Marheny Lukitasari Maharani Hayuning P. P Maliatul Inayati Marheny Lukita Sari Marheny Lukitasari Marheny Lukitasari Marheny Lukitasari Maulana, Abas Muhammad Hanif Nasihah, Siti Addinul Nelly Fitriani, Nelly Novi Primiani, Cicilia Novi Primiani Novitasari, Yanti Nur Fitria, Ruina Nurcahyani, Dhea Alvita Nurcholif Diah Sri Lestari Nurcholif Diah Sri Lestari Osman, Sharifah Primaningsih, Dyani Prismawinda Anifa Nudqi Puguh Darmawan Puguh Jayadi Purdiana, Roro Agnes Puspita Ningrum, Pupung Putra, Aldeva Rizky Winanto Pratama Putri, Inge Wiliandani Setya Putri, Reni Albertin Putri, Ria Anggelia Radityarisma Mahardika Rahayu, Maya Puji Lestari Rahma, Heny Rakhmad, Rakhmad Rengga Mahendra Rengga Mahendra, Rengga Restu Lusiana Revy Crismona Delia Reza Kusuma Setyansah Reza Kusuma Setyansah, Reza Kusuma Reza Kusuma Setyansyah Rini Nurhakiki Rini Setyowati, Rini Rini, Agustina Fajar Rischa Pramudia Trisnani Rischa Pramudia Trisnani, Rischa Pramudia Ruina Nur Fitria Ruina Nur Fitria Rusdi Hasan Rusdi Hasan Sanusi . SANUSI SANUSI Sanusi Sanusi Sanusi Sanusi Sapuntoro, Yunarmono Hantang Sardulo Gembong Sardulo Gembong, Sardulo Sari, Rully Devita Sari, Yuyun Novita Sekarsari, Kurnia Setianingsih, Wahyu Linda Setyansah, Reza Kusuma Setyowardany, Donna Pratiwi Sholeha, Ellina Maylani Silvatama, M. Aditiya Siti Namiroh Solikah, Nurul Islami Sri Adi Widodo Sri Anardani Sri Anardani Sri Lestari Sri Lestari Styorini, Meganis Sueb Sukardani, Puspita Sulvahrul Amin Suroso Suroso Susiswo Suwarno Suwarno Swasti Maharani Swasti Maharani, Swasti Syamsuddin, Agustan Titin Masfingatin Titin Masfingatin Titin Masfingatin Titin Masfingatin Titin Masfingatin, Titin Tjang Daniel Chandra Vera Dewi Susanti Vera Dewi Susanti Vera Dewi Susanti Vera Dewi Susanti Viantasari, Erwinda Wahyuni, Nining Tin Wardani, Yulia Nindi Yahya, Faridah Hanim Yunianto Taufik Hidayat Eko Yuniastuti, Lusy Yunitasari, Anisa Zahroatul Khoirotil Umath, Syamsiyatuz Zahroatul Khoirotil Umath