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All Journal Nusantara of Research : Jurnal Hasil-hasil penelitian Universitas Nusantara PGRI Kediri (e-journal) UNEJ e-Proceeding JIPMat (Jurnal Ilmiah Pendidikan Matematika) HISTOGRAM: Jurnal Pendidikan Matematika Journal of Mathematics and Mathematics Education (JMME) JMPM: Jurnal Matematika dan Pendidikan Matematika SJME (Supremum Journal of Mathematics Education) Efektor Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah di Bidang Pendidikan Matematika Jurnal Studi Guru dan Pembelajaran Jurnal Ilmiah Pendidikan Citra Bakti Jurnal Absis : Jurnal Pendidikan Matematika dan Matematika InPrime: Indonesian Journal Of Pure And Applied Mathematics Eksponen Jurnal Ilmiah Wahana Pendidikan Jurnal Pengabdian dan Pemberdayaan Nusantara (JPPNu) Jurnal Pengabdian Kepada Masyarakat Kontribusi: Jurnal Penelitian dan Pengabdian Kepada Masyarakat Polinomial : Jurnal Pendidikan Matematika Dedikasi Nusantara: Jurnal Pengabdian Masyarakat Pendidikan Dasar Interval: Indonesian Journal of Mathematical Education Jurnal Ilmiah Pendidikan Citra Bakti SJME (Supremum Journal of Mathematics Education)
Dian Devita Yohanie Yohanie
Universitas Nusantara PGRI Kediri
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Thinking Process of Mathematics Education Students in Problem Solving Proof Yohanie, Dian Devita; Botchway, Gloria A.; Nkhwalume, Alakanani Alex; Arrazaki, Mohammed
jurnal matematika Vol 1 No 1 (2023): June
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v1i1.611

Abstract

This type of research is quantitative research. This study used document analysis, interviews and evidence problem solving task instruments. Qualitative data analysis was carried out interactively. The results of this study are the thinking processes of 2nd semester Mathematics Education students who have high learning achievements. Solving the problem of proof in a direct way, contraposition, and contradiction in the entry phase of the thought process activity obtained is the same, that is, the subject understands the problem by writing down the antecedents as what is known and the consequent as what must be proven. The thinking process of 2nd semester Mathematics Education students who have moderate learning achievements. Solving the problem of proof in a direct way, contraposition, and contradiction in the entry phase of the thought process activity obtained is the same, that is, the subject understands the problem by writing down the antecedents as what is known and the consequence as what must be proven. The thinking process of 2nd semester Mathematics Education students who have low learning achievements. Solving the problem of proof in a direct way, contraposition, and contradiction in the entering phase of the thinking process activity obtained is the same, that is, the subject understands the problem by writing down the antecedents as what is known and the consequent as what must be proven
PROSES BERPIKIR MAHASISWA PENDIDIKAN MATEMATIKA DALAM PEMECAHAN MASALAH PEMBUKTIAN TAHUN AKADEMIK 2014/2015 Yohanie, Dian Devita; Sujadi, Imam; Usodo, Budi
Journal of Mathematics and Mathematics Education Vol 6, No 1 (2016): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v6i1.10048

Abstract

Abstract: This research aimed to describe the thinking process in proof problem solving using direct, contraposition, and contradiction methods in 2nd semester mathematic education students of Nusantara PGRI University of Kediri with (1) high, (2) moderate, and (3) low learning achievements. The research method employed was qualitative approach. Subject of research was selected using purposive sampling technique, consisting of 6 2nd-semester mathematic education students: 2 students with high, 2 with moderate, and 2 with low learning achievements. Data collection was carried out using interview based on proof problem solving assignment. Data validation was carried out using time triangulation, and the valid data was analyzed using data reduction, data display, and conclusion drawing.  The result of research showed that: (1) The thinking process of students with high learning achievement. The proof problem solving in direct contraposition, and contradiction ways. In entry phase, the subjects understood the problem by writing antecedent as they know and consequence to be proved. In finishing phase, the subjects explained antecedent into premise correctly and completely, did algebraic operation to connect consequence to premise, in order to prove the consequence. In review phase, the subjects check their answer and were sure with their answer after seeing the process and proof result. (2) The thinking process of students with moderate learning achievement. The proof problem solving in direct, contraposition, and contradiction ways. In entry phase, the subjects understood the problem by writing antecedent as they know and consequence to be proved. In finishing phase, the subjects explained antecedent into premise correctly, did algebraic operation with summing procedure and distributive property to connect consequence to premise in order to prove the consequence. In review phase, the subjects did not check their answer and were sure with their answer when their  proved. (3) The thinking process of students with low learning achievement. The proof problem solving in direct, contraposition, and contradiction ways. In entry phase is the same, the subjects understood the problem by writing antecedent as they know and consequence to be proved. In finishing phase, the subjects explained antecedent into premise difficultly, did algebraic operation with summing procedure and distributive property to connect consequence to premise using number example, thereby could not prove the consequence. Then in review phase, the subjects did not check their answer and were sure with their answer after seeing their proof result.Keywords: Thinking Process, Problem Solving, Proof, Learning Achievement 
Co-Authors Aan Nurfahrudianto Aishah, Sinta Nur ali suwito, uswatun hasanah Am Ayu Kusuma Dewi Anggristia, Serly Aprilia Dwi Handayani Aprilia Dwi Handayani Aprilia Dwi Handayani, Aprilia Dwi Aprillia Dwi Handayani Arifah, Khusnul Arrazaki, Mohammed Bambang Agus Sulistyono Bambang Agus Sulistyono Bayu, Cindivia Putri Botchway, Gloria A. Budi Usodo Cindivia Putri Bayu DARSONO Darsono Darsono Darsono Darsono Darsono Darsono Desy Anggraini Desy Anggraini Dewi, Am Ayu Kusuma Dian Majekroatina Fatmasari, One Ayu Frischa Angelline Kurniawan Gusniawati, Ayu Handayani , Aprilia Dwi Handyani, Aprilia Dwi Hendarto Cahyono himmatul Aliyah, himmatul Ika Santia Imam Sujadi Jatmiko Jatmiko Jatmiko Karyawati, Karyawati Kurniawan, Frischa Angelline Larasati, Anggi Lina Rihatul Hima lina Rihatul Hima Lina Rihatul Hima, Lina Rihatul Majekroatina, Dian Moh. Mahfud Effendi Muna, Arifatul Hilmi Isfil Nacaska, Nanda Nasrudin, Jafar Nisa, Sefiya Khoirun Nkhwalume, Alakanani Alex Ofir Hawila Bantaika Risala, Rahmatul Rudianto, April Samijo, Samijo Septiarani, Dike Serly Anggristia Sinta Nur Aishah Siti Khoiruli Ummah Suryo Widodo Susanto, Arya Bagas Tri Ivanka, Nova Tya USWATUN HASANAH Vioni, Ria Octa Wijaya, Bryant Candra Yuni Katminingsih Yuni Katminingsih