An Identification of Conceptual and Procedural Understanding: Study on Preservice Secondary Mathematics Teacher

Kondradus Yohanes Klau, Meiva Marthaulina Lestari Siahaan, Justin Eduardo Simarmata

Abstract


Preservice mathematics teachers (PSMTs) need to master teaching material besides pedagogical competence. This knowledge is a combination of conceptual and procedural knowledge. Teachers should possess the ability to explain a concept, the reason for the concepts used, and the relationship among several concepts clearly and effectively to identify why the concept is used. This study aimed to identify the conceptual and procedural knowledge of PSMTs in Linear Algebra courses. Data collection was carried out through tests and interviews. The interview was conducted with several participants to clarify their test answers. The participants' interview answers revealed that they had difficulty in choosing the proper concept answering modified questions. Also, the participants tried to answer the question using a procedural approach. According to the findings, it is vital to construct appropriate teaching materials appropriate for the learning objective and material map concept.

 


Keywords


Conceptual Understanding; Preservice Mathematics Teacher; Procedural Understanding; Vectors

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References


Baki, A. (2008). Mathematics teaching from theory to practice. Ankara: Alfa yayınları.

Badjeber, R., & Mailili, W. H. (2019). Profil Pengetahuan Konseptual Matematis Siswa SMP Ditinjau dari Gaya Kognitif. Anargya: Jurnal Ilmiah Pendidikan Matematika, 2(1), 6-13.

Chen, L., Van Dooren, W., & Verschaffel, L. (2011). An investigation on Chinese teachers’ realistic problem solving abilities and beliefs. Journal of Mathematics Education, 4(2), 80-96.

Crespo, S. (2003). Learning to pose mathematical problems: Exploring changes in preservice teachers’ practices. Educational Studies in Mathematics, 52, 243–270. https://doi.org/10.1023/A:1024364304664

Du ̈ndar, S. (2015). Mathematics Teacher-Candidates' Performance in Solving Problems with Different Representation Styles: The Trigonometry Example. Eurasia Journal of Mathematics, Science, and Technology Education, 11, 1363-1378.

Egodawatte, G., & Stoilescu, D. (2015). Grade 11 Students' Interconnected Use of Conceptual Knowledge, Procedural Skills, and Strategic Competence in Algebra: A Mixed-Method Study of Error Analysis. European Journal of Science and Mathematics Education, 3(3), 289-305

İşleyen, T., & Işık, A. (2003). Conceptual and procedural learning in mathematics. Journal of the Korea Society of Mathematical Education (Series D: Research in mathematical education), 7(2), 91–99

Iswanly, F. R., Pomalato, S., & Djabar, M. A. (2018). Analisis pemahaman konseptual dan kemampuan prosedural matematika ditinjau dari tipe kepribadian siswa di smp negeri 1 pinogaluman. Jurnal Riset Dan Pengembangan Ilmu Pengetahuan, 03, 7–12.

Kadijevich, D. M. (2018). Relating procedural and conceptual knowledge. Teaching of Mathematics, 21(1), 15–28.

Khashan, K.H. (2014). Conceptual and procedural knowledge of rational numbers for Riyadh elementary school teachers. Journal of Education and Human Development, 3(4), 181- 197.

Kilpatrick, J., Swafford, J. O., & Findell, B. (2001). Adding it up: Helping Children Learn Mathematics. Washington, DC: National Academy Press

Komarudin. (2016). Analisis Kesalahan Siswa Dalam Pemecahan Masalah Matematika Pada Materi Peluang Berdasarkan High Order Thinking Dan Pemberian Scaffolding. Jurnal Pendidikan, Komunikasi Dan Pemikiran Hukum Islam, VIII(1), 198–213.

Kurniawan, E., Mulyati, S., & Rahardjo, S. (2017). Proses Asimilasi Dan Akomodasi Dalam. Teori, Penelitian, Dan Pengembangan, 2(5), 592–598.

Liberman, N., & Trope, Y. (1998). The role of feasibility and desirability considerations in near and distant future decisions: A temporal construal theory test. Journal of Personality and Social Psychology, 75, 5–18.

National Research Council. (2001). Adding it up: Helping Children Learn Mathematics. Washington, DC: National Academy Press

Putri, A. (2018). Analisis Kemampuan Pemecahan Masalah Rutin dan Non-Rutin pada Materi Aturan Pencacahan. Jurnal Pendidikan Tambusai, 2(2), 890-896.

Rittle-Johnson, B. & Schneider, M. (2012). Developing Conceptual and Procedural Knowledge of Mathematics. In R. Cohen Kadosh & A. Dowker (Eds.), Oxford handbook of numerical cognition. Oxford University Press.

Schneider, M., & Stern, E. (2015). The cognitive perspective on learning: Ten cornerstone findings. In Organisation for Economic Co-Operation and Development (OECD) (Ed.), The nature of learning: Using research to inspire practice (pp. 69-90). Paris: OECD. (7) (PDF) The cognitive perspective on learning: Ten cornerstone findings.

Schneider, M., & Stern, E. (2010). The developmental relations between conceptual and procedural knowledge: A multimethod approach. Developmental Psychology, 46, 178-192. DOI: 10.1037/a0016701

Smith, S. Z., & Smith, M. E. (2006). Assessing elementary understanding of multiplication concepts. School Science and Mathematics, 106, 140–148. doi:10.1111/j.1949-8594.2006.tb18171.x

Star, J. R., Caronongan, P., Foegen, A., Furgeson, J., Keating, B., Larson, M. R., Lyskawa, J., McCallum, W. G., Porath, J., & Zbiek, R. M. (2015). Teaching strategies for improving algebra knowledge in middle and high school students (NCEE 2014-4333). Washington, DC: National Center for Education Evaluation and Regional Assistance (NCEE), Institute of Education Sciences, U.S. Department of Education. Retrieved from the NCEE website: http://whatworks.ed.gov.

Valanides, N. (2000a). Primary student teachers’ understanding of the particulate nature of matter and its transformations during dissolving. Chemistry Education Research and Practice, 1(2), 249-262.. https://doi.org/10.1039/A9RP90026H

Verschaffel, L., Luwel, K., Torbeyns, J., & Van Dooren, W. (2009). Conceptualizing, investigating, and enhancing adaptive expertise in elementary mathematics education. European Journal of Psychology of Education, 24, 335–359. DOI: 10.1007/bf03174765.




DOI: http://dx.doi.org/10.24042/ajpm.v11i2.7310

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