Exploration of Vocational School Students' Misconceptions of Circle Material
DOI:
https://doi.org/10.58421/gehu.v1i2.19Keywords:
misconceptions, qualitative research, test method, interview methodAbstract
Misconceptions are ideas not following scientific understanding or understandings coined by experts in a field and can be in the form of an inaccurate understanding of concepts, use of wrong concepts, wrong classification of examples, or confusion of incorrect concepts. Understanding the correct concept is essential because there are still many misunderstandings (misconceptions); therefore, information about misconceptions is needed to avoid continuing misconceptions. This study aims to describe the misconceptions and causes of misconceptions in class XI AP 1 students at a private school in the city of Cirebon on the subject of circle equations. The form of research carried out in this study is qualitative research, with case study research methods. The data collection techniques used are 1) the test method, 2) the method of documenting the results of the answers of students who experience misconceptions, and 3) the interview method carried out on students who experience misconceptions. Based on the data analysis and discussion, it is concluded that 1) There is a misconception about a) the concept of a circle, b) the concept of the radius of a circle, c) the concept of the equation of a circle, and the position of a point on the circle. 2) The causes of misconceptions come from the teacher and the students themselves.
Downloads
References
S. Abramovich, A. Z. Grinshpan, and D. L. Milligan, “Teaching Mathematics through Concept Motivation and Action Learning,” Educ. Res. Int., vol. 2019, 2019, doi: 10.1155/2019/3745406.
R. Zazkis and P. Liljedahl, “Arithmetic sequence as a bridge between conceptual fields,” Can. J. Sci. Math. Technol. Educ., vol. 2, no. 1, pp. 91–118, 2002, doi: 10.1080/14926150209556501.
A. H. Schoenfeld, “Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint),” J. Educ., vol. 196, no. 2, pp. 1–38, 2016, doi: 10.1177/002205741619600202.
S. Kuroda, “An investigation on the logical structure of mathematics (X)1) concepts and sets,” Osaka J. Math., vol. 11, no. 2, pp. 213–248, 1959.
I. S. Aminah, A. Muchyidin, and R. O. Akbar, “ARIAS Learning Model (Assurance, Relevance, Interest, Assessment, Satisfaction) And Their Effect on Madrasah Tsanawiyah Student Creativity,” J. Gen. Educ. Humanit., vol. 1, no. 1, pp. 39–46, 2022.
A. Muthik, A. Muchyidin, and A. R. Persada, “The Effectiveness Of Students’ Learning Motivation On Learning Outcomes Using The Reciprocal Teaching Learning Model,” J. Gen. Educ. Humanit., vol. 1, no. 1, pp. 21–30, 2022.
A. T. Rahayu, A. Muchyidin, and B. Manfaat, “The Application of The Guided Note-Taking (GNT) Learning Method and its Effect on Student’s Understanding of Mathematics Concepts,” J. Gen. Educ. Humanit., vol. 1, no. 1, pp. 12–20, 2022.
V. F. Falentina, A. Muchyidin, and T. S. Nasehudin, “Van Hiele’s Theory and Think Pair Share Cooperative Learning Model and Their Effect on Madrasah Tsanawiyah Student’s Level of Mathematical Thinking,” J. Gen. Educ. Humanit., vol. 1, no. 1, pp. 1–11, 2022.
O. D. P. Herawati, R. Siroj, and D. Basir, “Pengaruh Pembelajaran Problem Posing Terhadap Kemampuan Pemahaman Konsep Matematika Siswa Kelas Xi Ipa Sma Negeri 6 Palembang,” J. Pendidik. Mat., vol. 4, no. 1, 2013, doi: 10.22342/jpm.4.1.312.
R. Cowan, J. Hurry, and E. Midouhas, “The relationship between learning mathematics and general cognitive ability in primary school,” Br. J. Dev. Psychol., vol. 36, no. 2, pp. 277–284, 2018, doi: 10.1111/bjdp.12200.
W. T. Seah and N. Y. Wong, “What students value in effective mathematics learning: A ‘third wave project’ research study,” ZDM - Math. Educ., vol. 44, no. 1, pp. 33–43, 2012, doi: 10.1007/s11858-012-0391-4.
N. H. Musa and S. M. Maat, “Mathematics Anxiety: A Case Study of Students’ Learning Experiences through Cognitive, Environment and Behaviour,” Int. J. Acad. Res. Bus. Soc. Sci., vol. 11, no. 3, pp. 932–956, 2021, doi: 10.6007/ijarbss/v11-i3/8992.
Frengky, “Model Pembalajaran Matematika Siswa Kelas Satu Sekolah Dasar,” J. Psikol., vol. 35, no. 2, pp. 151–163, 2018.
E. Mangwende and A. Maharaj, “Barriers to Mathematics Teachers’ Use of Their Knowledge of Students’ Learning Styles in Mathematics Teaching: A Case of Secondary Schools in Zimbabwe,” Eurasia J. Math. Sci. Technol. Educ., vol. 16, no. 1, pp. 1–15, 2020, doi: 10.29333/ejmste/109198.
E. C. Mulwa, “Difficulties encountered by students in the learning and usage of mathematical terminology: A critical literature review,” J. Educ. Pract., vol. 6, no. 13, pp. 27–37, 2015, [Online]. Available: http://ezproxy.lib.utexas.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=eric&AN=EJ1080447&site=ehost-live.
P. Yuniara, B. Sinaga, and I. Dewi, “Analysis Of Difficulties In Completing Mathematical Communication Problem Solving In Terms Of Learning Styles Using Inquiry Learning,” Adv. Soc. Sci. Educ. Humanit. Res., vol. 200, no. Aisteel, pp. 764–768, 2018, doi: 10.2991/aisteel-18.2018.166.
N. Wafiyah, “Identifikasi Miskonsepsi Siswa Dan Faktor- Faktor Penyebab Pada Materi Permutasi Dan Kombinasi Di Sma Negeri 1 Manyar,” Gamatika, vol. II, no. 2, pp. 128–138, 2012.
R. Soedjadi, Kiat Pendidikan Pendidikan Matematika Indonesia. Jakarta: Direktorat Jendral Pendidikan Tinggi, 2000.
P. Suparno, Miskonsepsi dan perubahan konsep dalam pendidikan fisika. Jakarta: Grasindo, 2013.
Sugiyono, Metode Penelitian Kuantitatif, Kualitatif, dan R&D. Bandung: Alfabeta, 2017.
Sugiyono, Metode Penelitian Pendidikan: Pendekatan Kuantitatif, Kualitatif, dan R & D. Bandung: Alfabeta, 2015.
Y. Qian and J. Lehman, “Students’ misconceptions and other difficulties in introductory programming: A literature review,” ACM Trans. Comput. Educ., vol. 18, no. 1, 2017, doi: 10.1145/3077618.
Y. Qian, S. Hambrusch, A. Yadav, S. Gretter, and Y. Li, “Teachers’ Perceptions of Student Misconceptions in Introductory Programming,” J. Educ. Comput. Res., vol. 58, no. 2, pp. 364–397, 2020, doi: 10.1177/0735633119845413.
S. Diana, “Communicative Language Teaching and Its Misconceptions About the Practice in English Language Teaching (Elt),” J. Pendidik. Bhs. dan Sastra, vol. 14, no. 1, p. 36, 2014, doi: 10.17509/bs_jpbsp.v14i1.700.
T. C. Bayuni, W. Sopandi, and A. Sujana, “Identification misconception of primary school teacher education students in changes of matters using a five-tier diagnostic test,” J. Phys. Conf. Ser., vol. 1013, no. 1, 2018, doi: 10.1088/1742-6596/1013/1/012086.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Journal of General Education and Humanities

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Most read articles by the same author(s)
- Affiana Muthik, Arif Muchyidin, Alif Ringga Persada, The Effectiveness Of Students' Learning Motivation On Learning Outcomes Using The Reciprocal Teaching Learning Model , Journal of General Education and Humanities: Vol. 1 No. 1 (2022): February
- Vivi Fitri Falentina, Arif Muchyidin, Toto Syatori Nasehudin, Van Hiele's Theory and Think Pair Share Cooperative Learning Model and Their Effect on Madrasah Tsanawiyah Student's Level of Mathematical Thinking , Journal of General Education and Humanities: Vol. 1 No. 1 (2022): February
- Ayu Tunggal Rahayu, Arif Muchyidin, Budi Manfaat, The Application of The Guided Note-Taking (GNT) Learning Method and its Effect on Student's Understanding of Mathematics Concepts , Journal of General Education and Humanities: Vol. 1 No. 1 (2022): February
- Iim Siti Aminah, Arif Muchyidin, Reza Oktiana Akbar, ARIAS Learning Model (Assurance, Relevance, Interest, Assessment, Satisfaction) And Their Effect on Madrasah Tsanawiyah Student Creativity , Journal of General Education and Humanities: Vol. 1 No. 1 (2022): February
- Fajar Gayuh Mulyani, Arif Muchyidin, Toheri, Misconception Analysis of Student Teacher Candidates Using Certainty of Response Index (CRI) and Interviews on the Subject of Calculus 1: Mapping by Gender , Journal of General Education and Humanities: Vol. 1 No. 2 (2022): May
- Dwi Apriliani, Budi Manfaat, Arif Muchyidin, Evaluation of Bilingual Mathematics Learning Program at Al-Azhar Islamic Middle School, South Tangerang , Journal of General Education and Humanities: Vol. 1 No. 2 (2022): May
- Ismaniar Hikmatusholikhah, Jamali, Arif Muchyidin, Student Problems In The Implementation Of The 2013 Curriculum With A Scientific Approach To Mathematics At MTs N 4 Cirebon , Journal of General Education and Humanities: Vol. 1 No. 2 (2022): May
- Arif Rifa’i, Arif Muchyidin, Indah Nursuprianah, Development of Interactive Learning Media Using Android-based Google Sites to Increase Students' Interest in Learning , Journal of General Education and Humanities: Vol. 3 No. 4 (2024): November
- Toheri Toheri, Arif Muchyidin, Improving the Ability of Madrasah Aliyah Mathematics Teachers to Develop HOTS Questions through Training and Mentoring , Journal of General Education and Humanities: Vol. 4 No. 1 (2025): February
- Moh Hayat, Arif Muchyidin, Udin Asrorudin, Level of Student Satisfaction with the Performance of Electrochemical Analysis Practice Instructors , Journal of General Education and Humanities: Vol. 4 No. 1 (2025): February