### Fragmentation of the Thinking Structure of Translation in Solving Mathematical Modelling Problems

#### Abstract

*unpacking the source*(UtS), (2)

*preliminary coordination*(PC), (3)

*constructing the target*(CtT), and (4)

*determining equivalence*(DE). In this study, there were 3 subjects who experienced fragmentation of the thinking structure in solving mathematical modeling problems. One of the highlights is the fragmentation of the structure of translation thinking often starts from the process of unpacking of the source due to the incompleteness of considering all the available source details.

#### Keywords

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Booth, J.L., Barbieri, C., Eyer, F., & Pare-Blagoev, E.J. (2014). Persistent and Pernicious Errors in Algebraic Problem Solving. Journal of Problem Solving, 7, 10-23. http://dx.doi.org/10.7771/1932-6246.1161.

Bosse, M.J., Adu-Gyamfi, K., & Chandler, K. (2014). Students’ Differentiated Translation Processes. International Journal for Mathematics Teaching and Learning. 1-28. Retrieved from http://www.cimt.plymouth.ac.uk/journal/default.htm.

Bossé, M.J., Adu-Gyamfi, K., & Cheetham, M. (2011). Assessing the Difficulty of Mathematical Translations: Synthesizing the Literature and Novel Findings. International Electronic Journal of Mathematics Education, 6(3), 113-133.

Cobb, P., Yackel, E., & Wood, T. (1992). A Constructivist Alternative to the Representational View of Mind in Mathematics Education. Journal for Research in Mathematics Education, 23(1), 2-3.

Creswell, J.W. (2007). Qualitative Inquiry and Research Design. Choosing among Five Approaches (2nd ed.). Thousand Osks, CA: Sage.

Dorko, A. (2011). Calculus Student’ Understanding of Area and Volume in Non-Calculus Context. Unpublished Masters Thesis, University of Maine at Orono.

Kaput, J.J. (1987). Representation Systems and Mathematics. Janvier (Ed.), Problems of Representation in Teaching and Learning Mathematics, (19–26). Hillsdale, NJ: Erlbaum.

Kiat, S.E. (2005). Analysis of Student’ Difficulties in Solving Integration Problems. The Mathematics Educator, 9(1), 39-59.

Moleong, L.J. (2007). Metodologi Penelitian Kualitatif [Qualitative Research Methodology]. Bandung: PT Remaja Rosdakarya Offset.

Musser, G.L., Burger, W.F., & Peterson, B.E. (2011). Mathematics for Elementary Teachers a Contemporary Approach, Ninth Edition. United States of America: John Wiley & Sons, Inc.

Serhan, D. (2015). Students’ Understanding of the Definite Integral Concept. International Journal of Research in Education and Science (IJRES), 1(1), 84-88.

Skemp, R.R. (1976). Relational Understanding and Instrumental Understanding. Mathematics Teaching, (online), 77, 20-26. Retrieved from https://alearningplace.com.au/wp-content/uploads/2016/01/Skemp-paper1.pdf.

Skemp, R.R. (1982). Psychology of Learning Mathematics, 2nd Edition. London: Penguin Books.

Skemp, R.R. (2006). Relational Understanding and Instrumental Understanding. Mathematics Teaching in the Middle School, 12(2), 88-95.

Sternberg, R.J., & Sternberg, K. (2012). Cognitive Psychology, Sixth Edition. USA: Wadsworth Cengage Learning.

Subanji. (2015). Teori Kesalahan Konstruksi Konsep dan Pemecahan Masalah Matematika [Error Theory Construction Concepts and Mathematical Problem Solving]. Malang: Universitas Negeri Malang (UM Press).

Subanji. (2016). Teori Defragmentasi Struktur Berpikir dalam Mengonstruksi Konsep dan Pemecahan Masalah Matematika [Defragmentation Theory of Structure of Thinking in Constructing Concepts and Solving Mathematical Problems]. Malang: Universitas Negeri Malang (UM Press).

Veloo, A., Krishnasamy, H.N., & Abdullah, W.S.W. (2015). Types of Student Errors in Mathematical Symbols, Graphs, and Problem-Solving. Asian Social Science, 11(15), 324-334.

Wahono, R.S. (2009). Defragmentasi Otak: Cara Cerdas menjadi Cerdas [Brain Defragmentation: The Smart Way to Be Smart]. Universitas Bangka Belitung. Retrieved from http://www.ubb.ac.id/ menulengkap.php? judul=Defragmenting%20Otak%20:%20Cara%20Cerdas%20Menjadi%20Cerdas&&nomorurut_artikel=380.

Wibawa, K.A., Subanji, & Chandra, T.D. (2013). Defragmenting Berpikir Pseudo dalam Memecahkan Masalah Limit Fungsi [Defragmenting Pseudo Thinking in Solving Function Limit Problems]. Seminar Nasional Exchange of Experiences Teachers Quality Improvement Program (TEQIP). Malang: Universitas Negeri Malang.

Yin, R.K. (2011). Qualitative Research from Start to Finish. New York: The Guilford Press.

Yost, D. (2009). Integration: Reversing Traditional Pedagogy. Australian Senior Mathematics Journal, 22, 37-40.

Zakaria, E., Ibrahim, & Maat, S.M. (2010). Analysis of Students’ Error in Learning of Quadratic Equations. International Education Studies, 3(3), 105-110.

DOI: https://doi.org/10.46517/seamej.v9i1.71

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