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Journal : Jurnal Pendidikan MIPA

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.
Analyzing Mathematics Education Students' Misconceptions on Limit Functions : A Case Study at Alkhairaat University Hajerina, Hajerina; Rochaminah, Sutji; Suciati, Indah
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.pp51-61

Abstract

Abstract: The purpose of this study was to determine the misconceptions made by Unisa Mathematics Education students about the concept of limit.  The research method used was a descriptive qualitative approach or survey design, where data were collected through comprehension tests, interviews, and observations of 16 students. The results showed that students consider limit as something that is not reached, limit is an estimate, limit is a boundary, and a function will always have a limit at a certain point. Other misconceptions are that students consider limit as a substitution process, even though the substitution process causes the denominator to become 0, students still write 0, and they think that when the function has a limit value, the function is defined at a certain point and must be continuous. These findings are expected to contribute to the development of more effective learning strategies to overcome misconception in Mathematics Education students and improve their understanding of calculus concepts, especially function limit.       Keywords: limit concept, limits of functions, misconceptions.
Analysis of Pre-service Mathematics Teachers' Representational Ability Regarding the Prime Numbers Concept Suciati, Indah; Rochaminah, Sutji; Hajerina, Hajerina
Jurnal Pendidikan MIPA Vol 26, No 2 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i2.pp1253-1273

Abstract

A deep understanding of prime numbers remains a significant challenge, particularly for pre-service mathematics teachers responsible for conveying this essential knowledge to their students. Prime numbers have an essential role in mathematics, including in factorization, proof, and cryptography. Therefore, this study aims to describe and analyze the representational abilities of prospective mathematics teacher students at Alkhairaat University, regarding the prime numbers in Number Theory. This study uses a descriptive exploratory method with a mixed-methods approach based on a sequential explanatory design. Data collection was carried out through diagnostic tests, semi-structured interviews, and documentation, which were then analyzed using descriptive statistics for quantitative data and the Miles & Huberman model for qualitative data. Triangulation of methods and time was used to ensure the validity of the data. The findings showed that out of 17 students, only 29.41% were able to provide accurate verbal representations related to the prime and composite numbers, and only 5.88% were able to link the two meaningfully. In addition, while students were able to mention definitions, most of them had difficulties applying the prime numbers in the abstract problem context, including examples in algebraic notation. This study concludes that there is still a significant gap in the representation ability of prime number concepts of pre-service mathematics teachers. The implications emphasize the need for integrating multidimensional representation learning strategies into the mathematics education curriculum so that prospective teachers are better prepared to teach prime numbers in a comprehensive and meaningful way.    Keywords: representation, prime numbers, number theory, pre-service mathematics teachers.
Co-Authors Abd Hamid Abd. Hamid Abd. Hamid Abd. Hamid Abd.Hamid Abd.Hamid Abda Abda Agnes Desy Leliana Ahdar Akbar, Guntur Moh. Akhyar H. M. Tawil Alam, Hitman Alfiliansi Alfiliansi, Alfiliansi Alma, Alma Saputri Ananta, Puja Asti Anggraini Anggraini Anggraini Anggraini Anggraini Anriani, Anriani Apriyanti Wulandari Arfanuddin, Arfanuddin Arifa Nur Ayu Ashar Ashar Ashar Asnur Ali Ayu Munira Ayu, Arifa Nur Badjeber, Rafiq Baharuddin Baharuddin Baharuddin Baharuddin Paloloang Baharuddin Paloloang Baharuddin Paloloang Baharuddin Paloloang Baid, Nurfaida Bakri Bakri Bakri Bakri Bakri M Bakri M. Bakri Mallo Bakri Mallo Barakati, Intan Faramita Basri, Risna Chairani, Munajah Dasa Ismaimuza Deviana, Sri Dewi Puspita Dewi Safitri DIAN APRIANI Dianra, Atmika Radifa Djafar, Yuniarti H Dyantari, Putu Eka Sutarsi Sagita Ermayanti, Ni Luh Evie Awuy Evie Awuy Fajriani Fini Widyawati Hi. Hafid Fitri, Rinil Fitrianti Fitrianti Fitriyani Perouka Gandung Sugita Gayatri, Refma Guntur Moh. Akbar Hadija Hadija Hadija Hajerina, Hajerina Haliza Hapsa Hasanuddin, Mutiah Hatin, Murni A. Hedarwati, Hedarwati Henita Rahmayanti Herdawati Herdawati Herdawati, Herdawati Huber Yaspin Tandi I Nyoman Murdiana I Nyoman Murdiana I Wayan Sudarsana Ibni Hadjar Intan Faramita Barakati Ismaimuza, Dasa Ismaimuza Istiqomah Jaeng, Maxinus Jemamut, Natalia Jusmawati Jusmawati, Jusmawati Karniman, Tegoeh S Karniman, Tegoeh S. Kasim, Sitti Ruqaiyyah Laksono Trisnantoro Lamanja, Nurannisa S Lantang, Nortje D.J. Lilis Lilis liloi, olvi M, Bakri M. Ikhsan M., Bakri Malia Fitriani Mardiana, Nanang Mastura, Ayu Maxinus Jaeng Mecawati, Niluh Putu Ayu Meinarni, Welli Mirnawati Mirnawati Mirnawati Mirnawati Mirnawati Mirnawati Moh. Rian Firdaus Mu’afiah, Ummi Muh Hasbi Muh Hasbi Muh. Hasbi Muh. Hasbi Muh. Rizal Muh. Rizal Muhammad Fachri B. Paloloang Muliyati Munajah Chairani Musdalifah Musdalifah Musfira, Musfira Mustamin Idris MUSTAMIN IDRIS Ndawu, Tirta Andriani Nggariwo, Febryanti Ni Made Sari Indahyani Niluh Putu Ayu Mecawati Nimsing Nimsing Nofriana Tolabada Novia Astriani Nur Anisa Nur Islamiah, Nur Nur Islamiyah Nur Safitri Nurannisa S Lamanja Nurfadila Nurfadila, Nurfadila Nurhayadi Nurhikmah Nurhikmah Nursupiamin Nursupiamin, Nursupiamin Paloloang, Muhammad Fachri B Paloloang, Muhammad Fachri B. Pathuddin Putu Dyantari Rafiqa, Shara Rahayu, Wan Indra Ari Rajab Rajab Rajab, Rajab Rifai, Mohammad Rifal, Mohammad Rita Lefrida Rizka Amalia Rohmah, Zakiah Roni Dudung Paembonan Rosyidah, Anni Syakhiyatur Safira Afrilia Sari, Nurhalisa Fitra Sasmitha Puri Indah SATRIYAS ILYAS Siti Hadijah Siti Hadijah Siti Helmyati Siti Maryam Sitti Ruqaiyyah Kasim Sry Yasma Suciati, Indah Sudarman Bennu Sudarsono Sukayasa Sukayasa Suprianto Suprianto Tegoeh S Karniman Tegoeh S. Karniman Tirta Andriani Ndawu Ummi Mu’afiah Unggul Wahyono USWATUN HASANAH Uswatun Hasanah WAHYUNI Widyawati, Fini Windawati Wulandari, Apriyanti Zahariati Zahariati Zakiah Rohmah Zulkifli