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All Journal Cakrawala Pendidikan Journal of Education and Learning (EduLearn) JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA Jurnal Riset Pendidikan Matematika AKSIOMA JURNAL PENDIDIKAN MATEMATIKA Jurnal Daya Matematis Jurnal Pendidikan Matematika JIPM (Jurnal Ilmiah Pendidikan Matematika) Jurnal Edukasi Matematika dan Sains JPPM (JURNAL PENELITIAN DAN PEMBELAJARAN MATEMATIKA) AKSIOMA Al-Jabar : Jurnal Pendidikan Matematika Jurnal Kajian Pembelajaran Matematika MaPan : Jurnal Matematika dan Pembelajaran JRPM (Jurnal Review Pembelajaran Matematika) Jurnal Matematika: MANTIK Jurnal Pengabdian Pada Masyarakat MENDIDIK: Jurnal Kajian Pendidikan dan Pengajaran Jurnal Cendekia : Jurnal Pendidikan Matematika Prima: Jurnal Pendidikan Matematika JKPM (Jurnal Kajian Pendidikan Matematika) Jurnal Pendidikan Matematika (Jupitek) Symmetry: Pasundan Journal of Research in Mathematics Learning and Education JPMI (Jurnal Pembelajaran Matematika Inovatif) Jurnal Educatio FKIP UNMA GAUSS: Jurnal Pendidikan Matematika International Journal on Teaching and Learning Mathematics Tirtamath : Jurnal Penelitian dan Pengajaran Matematika ABSYARA: Jurnal Pengabdian Pada Masyarakat Prisma Sains: Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Edumatica: Jurnal Pendidikan Matematika Jurnal Pengabdian Pada Masyarakat Wilangan : Jurnal Inovasi dan Riset Pendidikan Matematika Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang
Syamsuri Syamsuri
Universitas Sultan Ageng Tirtayasa
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Journal : International Journal on Teaching and Learning Mathematics

 1 
APOS analysis on cognitive process in mathematical proving activities Syamsuri Syamsuri; Indiana Marethi
International Journal on Teaching and Learning Mathematics Vol 1, No 1 (2018): June (This issue published papers with authors/co-authors from 7 universities/in
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ijtlm.v1i1.5613

Abstract

Thinking is very necessary in learning mathematics, both at school and college level. Several studies have attempted to reveal students' thinking in learning mathematics at college. This article aims to describe the mental structure that occurs when constructing mathematical proofs in terms of APOS theory. The APOS theory has been widely used in analyzing the formation of mathematical concepts in universities. This research explores a thinking process in proof constructing. It uses a qualitative approach. The research was conducted on 26 students majored in mathematics education in public university at Banten, Indonesia. The consideration of that was because the students were able to think a formal proof in mathematics. Results show that there are two types of thinking process in mathematical proving activities, namely:  the deductive-holistic and the inductive-partial type of thinking process. Based on the results, some suitable learning activities should be designed to support the construction of these mental categories.
Co-Authors A Rizal Heru Cahya Aan Hendrayana Aan Subhan Pamungkas Abdul Fatah Aidah Murdikah Anisa Amalia Annisa Annisa Anriani, Nurul Anwar Mutaqin Avianti Permata Yuniar Ayu Sri Astuti Cecep AHF Santosa Cecep Anwar Hadi Firdos Santosa Cecep Anwar HF Santosa Didi Suryadi Dilla Shafa Salsabila Dwi Rachmawati Eki Sutisna Ela Priastuti Mirlanda Ela Priastuti Mirlanda Etika Khaerunnisa, Etika Fachri Awami Gita Ayu Nengsih Heni Pujiastuti Heni Yunilda Hasibuan Hepsi Nindiasari Hepsi Nindiasari Hepsi Nindiasari Ihsanudin Ihsanudin Iir Amelia Iir Amelia Ila Hilyatul Aen Ilham Ariesandi Imam Gozali Indiana Marethi Kathrin Nur Wulandari Lia Fauzatu Solikhah Maman Fathurrohman Maretha Septiani Dwi Astutik Martin Martin Mia Aprilia Monica Sayuri Mu'minatu Fadhila Tohir Muhamad Hanafi Nanda Amelia Nissa Nivia Novaliyosi Novaliyosi Nuriah Nuriah Purwanto Purwanto Ralivia Suci Setianingrum Ramlan Rida B. Rizki Nugraha Shofiy Hanifah Siska Aitami Sri Apriatni Subanji Subanji Sufyani Prabawanto, Sufyani Sukirwan Sukirwan Sutihat Sutihat Syela Rizki Amelia Tita Puspitasari Tonnie Hari Nugraha Tony Sudaryana Trisnanda Lady Utami Ujang Suprianto Uyu Wahyudin Yani Setiani Yusuf Ramdani Yuyu Yuhana