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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.
Co-Authors Agung Nasrulloh Saputro, Agung Nasrulloh Alifah, Septa Devi Auliatul Alisa Alfina Andayani, Tutik Sulistyo Apriliana, Laila Ardiana Ardiana, Ardiana Asnawi, Noordin Astuti, Indra Puji Atmojo, Alief Arida Dhimas Ayu Rohana, Diah Azizah, Amalina Nur Azzahra, Sonya Isrofia Baretta, Patrick Aprillia Dadan Dasari Darmadi Darmadi Dewanta Arya Nugraha Dwi Rohman Soleh, Dwi Rohman Edy Suprapto Elmawati, Elmawati Elvi Daniel Bautista, Gatiet Fatriya Adamura Fida Rahmantika Hadi, Fida Rahmantika Firdaus, Tiara Citra Maharani Fitriana Fitriana Hamidah . Hartini, Suliyawati Hasbullah, Khuznul Ma'rifah Hendrisa Rizqie Romandoni Ihtiari Prastyaningrum, Ihtiari Ika Krisdiana Ilham Muhammad Indriyana Dwi Mustikarini, Indriyana Dwi Irna Tri Yuniahastuti Jaka Wijaya Kusuma Laila, Dina Jamil Majid, Andhira Nurkholisha Majid, Majid Maryatin Maryatin, Maryatin Masruroh, Viki Megawati, Putri Ayu Muhammad Noor Kholid Muji Rahmawati, Milenia Muklisum, Dwi Nasrulloh, Agung Nopitasari, Dian Novitasari, Riski Nuraisa, Diah Pertiwi, Hernin Diah Permata Prastya, Dharma Dwi Putri Hana Pebriana Putri, Lilis Asriani Rahmadhani, Mutiara Suci Rahmasiwi, Dwinda Susi Rika Wulandari Romandoni, Hendrisa Rizqie Safitri, Syntia Rizki Nur Sanusi Sanusi Septyawan, Addy Siahaan, Erika Yohanna Seventina Sofia Nur Afifah, Sofia Nur Sunarni, Sri Tama, Fidya Nurhuda Sukma Tiara Citra Maharani Firdaus Titin Masfingatin, Titin Tri Andari Tri Yuniahastuti, Irna Turmudi Umi Kholifah Vera Dewi Susanti Wasilatul Murtafiah Wibisono, Putri Sindy Widia Yunita Widia Yunita, Widia Wulansari, Ika Yaya S. Kusumah