Features of teaching supplements designed to help primary teachers reduce student misconceptions in mathematics

Endah Budi Rahaju, Dwi Iriyani, Ahmad Wachidul Kohar


The findings of teacher misconceptions of mathematics at various levels indicate a wide variation of mathematics taught to students. This research aims to produce valid, practical, and effective teaching supplementary materials for integers, fractions, two dimensional and three-dimensional shapes that can overcome misconceptions. This two-year development research applied Plomp's development phases: preliminary investigation, design, realization, test phase, evaluation, and revision. The data were analyzed from teacher misconceptions about mathematics from the first year of the study, the development of teaching material supplements, the results of observations on the implementation of teaching materials, the teacher's response questionnaire to the implementation of the teaching materials, and test results. The research subjects were primary school teachers in Sidoarjo who experienced mathematical misconceptions. The results showed that the teaching material supplements developed met valid, practical, and effective criteria based on expert validation, teacher responses, and teacher work results on the assessment sheets. The features of the supplements were developed based on cognitive conflict and the resolution of conflicting perspectives and the teachers' existing ideas and extend them, through, for example, the analogy to a new domain, where those are presented in either the materials or the assessments.


student misconception; teacher misconception; teaching supplement

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Astawa, I. W. P., Sudiarta, I. G. P., & Suparta, I. N. (2020). Kesulitan siswa dalam membuktikan masalah kesamaan dan ketidaksamaan matematika menggunakan induksi matematika [Students' difficulties in proving mathematical equality and inequality problems using mathematical induction]. Jurnal Elemen, 6(1), 146–156. https://doi.org/10.29408/jel.v6i1.1746

Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special?

Carr, M. (2010). The importance of metacognition for conceptual change and strategy use in mathematics. Metacognition, strategy use, 176–197.

Çavuş, H., & Deniz, S. (2022). The effect of technology assisted teaching on success in mathematics and geometry: A meta-analysis study. Participatory Educational Research, 9(2), 358–397. https://doi.org/10.17275/per.

Flevares, L. M., & Schiff, J. R. (2014). Learning mathematics in two dimensions: A review and look ahead at teaching and learning early childhood mathematics with children’s literature. Frontiers in Psychology, 5, 1–12. https://doi.org/10.3389/fpsyg.2014.00459

Giyatmi. (2016). Menyusun buku ajar [Develop textbooks].

Gooding, J., & Metz, B. (2011). From misconceptions to conceptual change. The Science Teacher, 78(4), 34.

Iriyani, D. D. (2019). Identifikasi miskonsepsi guru SD dalam pembelajaran matematika [Identification of elementary teacher's misconceptions in learning mathematics]. Laporan penelitian Universitas Terbuka.

Jabal, R. F., & Rosjanuardi, R. (2019). Identifying the secondary school students’ misconceptions about number. Journal of Physics: Conference Series, 1157(4), 042052. https://doi.org/10.1088/1742-6596/1157/4/042052

Kajander, A., & Lovric, M. (2009). Mathematics textbooks and their potential role in supporting misconceptions. International Journal of Mathematical Education in Science and Technology, 40(2), 173–181. https://doi.org/10.1080/00207390701691558

Khalid, M., & Embong, Z. (2019). Sources and possible causes of errors and misconceptions in operations of integers. International Electronic Journal of Mathematics Education, 15(2), 0568. https://doi.org/10.29333/iejme/6265

Kusmaryono, I., Ubaidah, N., Ulya, N., & Kadarwati, S. (2019). Have teachers never been wrong? case studies of misconceptions in teaching mathematics in elementary schools. Daya Matematis: Jurnal Inovasi Pendidikan Matematika, 7(2), 209–218. https://doi.org/10.26858/jds.v7i2.9817

Lucariello, J., & Naff, D. (2013). How do I get my students over their alternative conceptions (misconceptions) for learning? https://www.apa.org/education-career/k12/misconceptions

Mutambara, L. H. N., & Bansilal, S. (2022). Misconceptions and resulting errors displayed by in-service teachers in the learning of linear independence. International Electronic Journal of Mathematics Education, 17(4), 0716. https://doi.org/10.29333/iejme/12483

Nieveen, N., McKenney, S., & Akker, J. (2006). Educational design research: The value of variety. In Educational design research (pp. 163–170). https://doi.org/10.4324/9780203088364-21

Olivier, A. (1989). Handling pupil’s misconceptions. Presidential address delivered at the Thirteen National Convention on Mathematics. Physical Science and Biology Education.

Palupi, E. L. W., Sumarto, S. N., & Purbaningrum, M. (2022). Senior high school student's understanding of mathematical inequality. Jurnal Elemen, 8(1), 201–215. https://doi.org/10.29408/jel.v8i1.4537

Parwati, N., & Suharta, I. (2020). Effectiveness of the implementation of cognitive conflict strategy assisted by e-service learning to reduce students' mathematical misconceptions. International Journal of Emerging Technologies in Learning (iJET), 15(11), 102–118. https://doi.org/10.3991/ijet.v15i11.11802

Permata, D., & Wijayanti, P. (2019). Students’ misconceptions on the algebraic prerequisites concept: causative factors and alternative solutions. Journal of Physics: Conference Series, 1265(1), 012005. https://doi.org/10.1088/1742-6596/1265/1/012005

Plomp, T. (1997). Educational and training system design. University of Twente.

Sbaragli, S., & Santi, G. (2011). Teacher’s choices as the cause of misconceptions in the learning of the concept of angle. International Journal of Science and Mathematics Education, 4(2), 117–157.

Shahbari, J. A., & Peled, I. (2015). Resolving cognitive conflict in a realistic situation with modeling characteristics: Coping with a changing reference in fractions. International Journal of Science and Mathematics Education, 13, 891–907. https://doi.org/10.1007/s10763-014-9509-1

Smith, J. P., diSessa, A. A., & Roschelle, J. (1993). Misconceptions reconceived: A constructivist analysis of knowledge in transition. Journal of the Learning Sciences, 3(2), 115–163. https://doi.org/10.1207/s15327809jls0302_1

Surgandini, A., Sampoerno, P. D., & Noornia, A. (2019). Pengembangan pembelajaran dengan pendekatan pmri berbantuan geogebra untuk membangun pemahaman konsep transformasi geometri [Development of learning with the geogebra-assisted PMRI approach to build an understanding of the concept of geometric transformation]. Prima: Jurnal Pendidikan Matematika, 3(2), 85–102. https://doi.org/10.31000/prima.v3i2.932

Susilawati, W., Suryadi, D., & Dahlan, J. A. (2017). The improvement of mathematical spatial visualization ability of student through cognitive conflict. International Electronic Journal of Mathematics Education, 12(2), 155–166. https://doi.org/10.29333/iejme/607

Swan, M. (2001). 10 Dealing with misconceptions in mathematics. In Issues in mathematics teaching (pp. 147).

Tirosh, D., & Graeber, A. O. (1990). Evoking cognitive conflict to explore preservice teachers' thinking about division. Journal for Research in Mathematics Education, 21(2), 98–108. https://doi.org/10.2307/749137

Treagust, D., Nieswandt, M., & Duit, R. (2000). Sources of students difficulties in learning Chemistry. Educación química, 11(2), 228–235. https://doi.org/10.22201/fq.18708404e.2000.2.66458

Tsamir, P., Tirosh, D., Levenson, E., Barkai, R., & Tabach, M. (2015). Early-years teachers’ concept images and concept definitions: Triangles, circles, and cylinders. ZDM, 47, 497–509. https://doi.org/10.1007/s11858-014-0641-8

Wanner, S. C. A. (2019). Mitigating misconceptions of preservice teachers: The relationship between area and perimeter. Ohio Journal of School Mathematics, 82(1), 36–44.

Watson, J. M., Callingham, R. A., & Kelly, B. A. (2007). Students' appreciation of expectation and variation as a foundation for statistical understanding. Mathematical Thinking and Learning, 9(2), 83–130. https://doi.org/10.1080/10986060709336812

Waxter, M., & Morton, J. B. (2011). Cognitive conflict and learning. In N. M. Seel (Ed.), Encyclopedia of the sciences of learning (pp. 585–587). Springer. https://doi.org/10.1007/978-1-4419-1428-6_280

Yang, D. C., & Sianturi, I. A. (2017). An analysis of Singaporean versus Indonesian textbooks based on trigonometry content. Eurasia Journal of Mathematics, Science and Technology Education, 13(7), 3829–3848. https://doi.org/10.12973/eurasia.2017.00760a

Zembat, I. O. (2010). Prospective elementary teachers’ conceptions of volume. Procedia-Social and Behavioral Sciences, 2(2), 2111–2115. https://doi.org/10.1016/j.sbspro.2010.03.290

DOI: https://doi.org/10.29408/jel.v9i2.12274


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