Analysis of concept construction errors in mathematical problem solving based on the assimilation and accommodation framework in terms of student learning styles

https://doi.org/10.24042/djm.v4i3.9752

Yeni Putri, Nizlel Huda, Yantoro Yantoro

Abstract


The forms of concept construction errors are divided into 4 forms, namely (1) Pseudo Construction, (2) Construction Holes, (3) Mis Analogical Construction, (4) Mis Logical Construction. This research aims to determine the process of concept construction errors in solving mathematical problems based on the assimilation and accommodation framework in terms of student learning styles. This research is qualitative descriptive research. The results showed that 1) students with visual learning styles experienced True Pseudo Construction, False Pseudo Construction, and Construction Pits. 2) Students with auditory learning styles experience True Pseudo Construction, False Pseudo Construction as well as Construction Pits and Mis Logical Construction. 3) Students with kinesthetic learning styles experience Construction Pits, True Pseudo Construction, False Pseudo Construction, and Mis Logical Construction. Concept construction errors in the material of a System of Linear Equations with Three Variables that are often experienced by students are Construction Pits caused by students' spontaneous thinking, irregularity of students' knowledge from previous knowledge concepts with new knowledge concepts.


Keywords


Concept construction errors; Problem Solving; Assimilation and Accommodation; Learning Styles.

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References


Babaee, H., & Khoshhal, Y. (2017). The role of equilibration in piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22

Depdiknas. (2006). Standar kompetensi mata pelajaran matematika sekolah menengah pertama dan madrasah tsanawiyah. Puskur.

Hartati, L. (2013). Pengaruh gaya belajar dan sikap siswa pada hasil belajar matematika. Jurnal Formatif, 3(3), 224–235.

Indri, H. Y., & Widiyastuti, E. (2018). Analisis berpikir pseudo dalam memecahkan masalah matematika. AlphaMath : Journal of Mathematics Education, 4(2), 61. https://doi.org/10.30595/alphamath.v4i2.7634

Jabareen, Y. (2009). Building a conceptual framework: Philosophy, definitions, and procedure. International Journal of Qualitative Methods, 8(4), 49–62. https://doi.org/10.1177/160940690900800406

Khasanah, D. (2019). Identifikasi lubang konstruksi siswa dalam memecahkan masalah matematika. Skripsi.

Laja, Y. P. W. (2020). Sebuah studi fenomenologi mengenai aturan pindah ruas dalam menyelesaikan persamaan linear matematika. 2, 10–20.

Lin, Y. W., Tseng, C. L., & Chiang, P. J. (2017). The effect of blended learning in mathematics course. Eurasia Journal of Mathematics, Science and Technology Education, 13(3), 741–770. https://doi.org/10.12973/eurasia.2017.00641a

Marga, S. A. (2017). Analisis kesalahan siswa dalam konstruksi konsep aljabar berdasarkan teori asimilasi akomodasi. Universitas Muhamadiyah Ponorogo.

Muliawati, N. E. (2016). Proses berpikir lateral siswa dalam memecahkan masalah berdasarkan gaya kognitif dan gender. 2(2), 55–60.

Netriwati. (2016). Analisis kemampuan mahasiswa dalam pemecahkan masalah matematis menurut teori polya. 7(2), 181–190.

Paramudita, W. A. (2019). Identifikasi miskonsepsi siswa pada materi pokok pecahan ditinjau dari kemampuan matematis. Universitas Islam Negeri Mataram.

Pegg, J., & Tall, D. (2005). The fundamental cycle of concept construction underlying various theoretical frameworks. ZDM - International Journal on Mathematics Education, 37(6), 468–475. https://doi.org/10.1007/BF02655855

Purwanto, W. R., Sukestiyarno, Y. L., & Junaedi, I. (2019). Proses berpikir siswa dalam memecahkan masalah matematika ditinjau dari perspektif gender. Prosiding Seminar Nasional Pascasarjana UNNES, 895–900.

Rosyida, E. M., Riyadi, R., & Mardiyana, M. (2016). Analisis kesalahan siswa dalam pemecahan masalah berdasarkan pendapat john w. santrock pada pokok bahasan bangun ruang sisi lengkung ditinjau dari gaya belajar dan gaya berpikir siswa. 4(10), 973–981.

Setiyanik Liyan, J. (2020). Profil pemecahan masalah siswa dalam menyelesaikan masalah aritmetika sosial ditinjau darigaya belajar. Jurnal Pendidikan Matematika, 8(3), 153–167.

Sopamena, P. (2017). Karakteristik proses berpikir mahasiswa dalam mengonstruksi bukti keterbagian. Jurnal Matematika Dan Pembelajaran, 5(2), 169–192.

Stoyanova, M., Tuparova, D., & Samardzhiev, K. (2018). Impact of motivation, gamification and learning style on students’ interest in maths classes – a study in 11 high school grade. Advances in Intelligent Systems and Computing, 716, 133–142. https://doi.org/10.1007/978-3-319-73204-6_17

Subanji, & Nusantara, T. (2013). Karakterisasi kesalahan berpikir siswa dalam mengonstruksi konsep matematika. Jurnal Ilmu Pendidikan, 19(2), 208–217.

Subanji, R., & Maedi, S. A. (2015). The pseudo-covariational reasoning thought processes in constructing graph function of reversible event dynamics based on assimilation and accommodation frameworks. Research in Mathematical Education, 19(1).

Subanji, S. (2015). Teori kesalahan konstruksi konsep dan pemecahan masalah matematika. Universitas Negeri Malang.

Subanji, S. (2016). Proses berpikir konstruksi semu dalam konsep matematika.

Tonda, A. F., Suwanti, V., & Murnasih, T. R. (2020). Analisis kesalahan konsep matematika siswa dalam menyelesaikan soal operasi aljabar berdasarkan gaya belajar. 5(1), 19–24.




DOI: https://doi.org/10.24042/djm.v4i3.9752

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Desimal: Jurnal Matematika is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.