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All Journal WAPFI (Wahana Pendidikan Fisika) Jurnal Kreatif Tadulako Online Jurnal Pendidikan Fisika FKIP UM Metro Jurnal Inovasi dan Pembelajaran Fisika Jurnal Penelitian Pendidikan IPA (JPPIPA) Jurnal Pendidikan Fisika dan Teknologi Jambura Physics Journal Jurnal Pengabdian kepada Masyarakat Nusantara Ideguru: Jurnal Karya Ilmiah Guru Media Eksakta Jurnal Kreatif Online Jurnal Banua Oge Tadulako Jurnal Pendidikan MIPA JPFT (Jurnal Pendidikan Fisika Tadulako Online)
Unggul Wahyono
Program Studi Pendidikan Fisika FKIP Universitas Tadulako
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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Journal : Jurnal Pendidikan MIPA

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Conceptual and Procedural Knowledge of Prospective Mathematics Teacher in Solving Derivative Problems Rochaminah, Sutji; Wahyono, Unggul; Nursupiamin, Nursupiamin; Badjeber, Rafiq
Jurnal Pendidikan MIPA Vol 26, No 1 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i1.pp105-117

Abstract

Abstract: Both procedural knowledge and conceptual knowledge are needed to solve derivative problems. This study aims to describe PMTs' conceptual and procedural knowledge in solving derivative problems. A qualitative with a case study as the research method was used. The research subjects were 63 prospective mathematics teacher (PMT) who attended Differential Calculus in the 2022-2023 academic year. The subject was chosen with purposive sampling. This study employed three problems from the derivative understanding test as the research instrument. The data analysis technique used in this study was the data analysis technique outlined by Miles & Huberman which began with data collection, then data reduction and drawing conclusions. The findings reveal that PMTs' lack of meaningful understanding of the definition of derivatives and their symbols may lead to algorithmic errors in finding the function f when the derivative of the function f at c is known. Of all the subjects, 82.5% found the derivative of a function without using the product rule. The procedural errors in finding the derivative of the product of functions stem from the subjects' misunderstanding of the rule that the derivative of a product is the product of their derivatives.Furthermore, 55.5% of the subjects determined the maximum and minimum values by first finding the stationary points. However, only 11% correctly found the minimum and maximum values. The results of this analysis highlight the importance of having a profound understanding of concepts when selecting and developing effective problem-solving procedures. Thus, the findings of this study are expected to assist lecturers in preparing teaching materials about derivatives effectively.      Keywords: conceptual knowledge, problem solving, procedural knowledge.
Co-Authors Abd. Syukur, Muh. Syarif S. Afadil Agustina Tina Al’afani, Fatwa Amelia, Nurafni Amiruddin Kade Amiruddin, Nurfianti Arif Arif Armaeni Armaeni, Armaeni Atira Atira Badjeber, Rafiq Darsikin Darsikin Dayana, Nur Faiqah Dienyati, Nur Husnul Erniati Erniati Fadil, Moh Faradina, Arini Fatwa Al’afani Fikri Fikri Fittri Yani Gagese, Nining Gustina Gustina Habibie Habibie Haeruddin Haeruddin Haeruddin Hajira Hajira, Hajira Hardi, Amalia Hariawan, Hariawan Hasnawiyah, Hasnawiyah I Komang Werdhiana I Komang Werdiana I Made Hermanto I Wayan Darmadi Istiqomah, Puput Jamaludin M Sakung Julianti Julianti, Julianti Jumria Jumria Jusman Mansyur Kamaluddin Kamaluddin Ketut Alit Adi Untara Kevin Moris Saripah Khuzaimah, Andi Ulfah Laratu, Indah Nurhidayanti Laratu, Wahyuni Latifah, Novitia Lukman Samatowa M.Djafar, Supriady Mardiansa, Rizky Marungkil Pasaribu Miftah Miftah, Miftah MUHAMMAD ALI Muhammad Jarnawi Muslimin Muslimin Ni Luh Sri Maharani Novitia Latifah Nuraisa, Nuraisa Nurasyah Dewi Napitupulu Nurhayati Nurhayati Nurjannah Nursupiamin Nursupiamin, Nursupiamin Pairunan, Azizah S. Paramita, Ielda Paulus Hengky Abram Puspita, Julita Putriyanti Putriyanti Putriyanti, Putriyanti R. Sapto Hendri Boedi Soesatyo Rauf, Darma Kharisma Riswan Riswan Rizki Ilmianih Roslina Roslina, Roslina Rosyid, Harun Nur Rudi Santoso, Rudi Sahrul Saehana Samara, Daud Selviani, Tri Novi Widya Suprianton, Suprianton Supriyatman, Supriyatman Sutji Rochaminah Sutrisno, Muh. Syamsu Syamsu Syamsuriwal, Syamsuriwal Syarif, Moh Toto, Norma Tri Novi Widya Selviani Wahyu Muzizat Mohamad Weni Anggraeni Wildan Hasyim Amin, Wildan Hasyim Winda Winda Wiwik Widyawati, Wiwik Wurwiarwin Wurwiarwin Yanto M, I Wayan Roby Yusuf Kendek Yusuf Kendek