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All Journal MUST: Journal of Mathematics Education, Science and Technology PENDIPA Journal of Science Education Jurnal Pendidikan Matematika Raflesia Jurnal Pendidikan Matematika (JUDIKA EDUCATION) Annals of Mathematical Modeling Annals of Mathematical Modeling Jurnal Didaktik Matematika
Wahyu Widada
Department Of Mathematics Education, Universitas Bengkulu. Jl. WR Supratman, Bengkulu, Indonesia
Chemistry Computer Science & IT Education Mathematics

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Students' cognitive processes in understanding the application of derivatives Wahyu Widada; Dewi Herawaty; Wayan Gede; Khathibul Umam Zaid Nugroho; Abdurrobbil Falaq Dwi Anggoro; Shadaqnas Dewarif Tri Anggoro
Annals of Mathematical Modeling Vol. 2 No. 1 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.16

Abstract

Derivatives are one of the objects of calculus that is difficult for students to learn. The purpose of this study was to describe the cognitive processes of students in understanding the application of derivatives. This is a qualitative research involving one subject with the initials L. The main instrument of this research is the researcher who is guided by an assignment sheet and an interview guide. Data collection was carried out through task-based interviews. To get complete and accurate data recorded through audiovisual. Data were analyzed descriptively through genetic decomposition based on APOS (action-process-object-schema) theory. The results of this study are that L can coordinate the process-object of all the properties of a given function, with adjacent or overlapping intervals in all h domains so that a mature scheme of function graph sketches is formed. So that an accurate function graph sketch is obtained. The conclusion is that L's cognitive process of applying derivatives is at a high level. It's a trance level.
Dekomposisi Genetik tentang Hambatan Mahasiswa dalam Menerapkan Sifat-sifat Turunan Wahyu Widada; Dewi Herawaty
Didaktik Matematika Vol 4, No 2 (2017): Jurnal Didaktik Matematika
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v4i2.9216

Abstract

Limit was to basic concept of derivative. The results of previous research found that learners have obstacles in understanding the limit function, consequently, the occurrence of difficulties and mistakes learners understand the concept and derived principles. This study aims to determine the obstacles of learners in applying derived properties. The approach of this research is qualitative by applying task-based interview with subject of 10 students selected by certain condition from 70 students in Mathematics Education Study Program of University of Bengkulu. The researcher is the main instrument in this research which is guided by the interview sheet and duty sheet. Data analysis was performed by genetic decomposition analysis. The results of this study indicate that the barriers of learners in applying analytic concepts and properties analytically include, the tangent line almost parallel to the y-axis, the break point (cusp) at x = -4, the second derivative, the extreme point, the emergence of contradictions, asymptotes flat, and do not understand conceptually. To overcome the obstacles of learners in understanding the concept and the nature of derivatives and its application, it is suggested to apply the mathematics learning model based on the extended triad++.
Co-Authors Abdurrobbil Falaq Dwi Anggoro Agus Susanta Asti Ariani Azhari MR Berta Panduwinata Desfa Lusiana Dewi Herawaty Dewi Herawaty Dewi Herawaty Dewi Herawaty Dewi Herawaty Dharmayana, Wayan Dwi Yanti Dwi Yanti Fenny Aliza Fizi Herdian Galih Ageng Pambudi Hafizatul Ardy Haji, H Saleh Hakasinawati Hakasinawati Hanifah Hanifah Harmudianto Harmudianto Herawati Herawati Herdi Agustiar Iran Sairan Keke Berlinda Khathibul Umam Zaid Nugroho Kurniawan Kurniawan M. Ilham Abdullah M. Tuah Lubis, A. Naashir Maliyo Junizon Melisa Melisa Nadya Sospolita Nilna Ma’Rifah Nirwana Nirwana Noke Hanif Afriani Novia Ayu Lestari Novita Tanti Nur Fitriyana Peni Febriani Raudya Tuzzahra Sarwoedi Sarwoedi Sarwoedi Shadaqnas Dewarif Tri Anggoro Shadaqnas Dewarif Tri Anggoro Siti Aisyah Suharto Suharto Tanti Novita Wayan Gede Wayan Gede Yuni Pusvita Zamzaili Zamzaili Zamzaili Zamzaili Zamzaili Zamzaili Zamzaili Zamzaili