The Process of Translating a Linear Program Problem into A Mathematical Representation

Authors

  • Nur Hasanah Syarief Universitas Muhammadiyah Kupang
  • Agustin Fatmawati Universitas Muhammadiyah Kupang

DOI:

https://doi.org/10.33474/jpm.v10i1.20506

Keywords:

Translation Process, Mathematical Representation, Problem Solving

Abstract

This research aims to describe the representation translation process in solving linear programming problems. The representation translation process will be explained at each stage of problem-solving according to Polya. The types of representation that will be explained are algebraic, numerical, graphic, and verbal. This research uses a descriptive qualitative approach. The research subjects consisted of two mathematics education students taking linear programming courses. Both subjects are students with high mathematical abilities who have good communication skills so that researchers can explore more in-depth information about the representation translation process. The instrument in this research is a linear program test which consists of two problems. The research results showed that subject 1 (S1) and subject 2 (S2) fulfilled three stages of problem-solving, namely understanding the problem, making a plan, and implementing the plan. Both subjects used all four representations in solving problems. The translation process that occurs starts with exploring sources, compiling initial knowledge, building targets, and determining suitability.

References

Adu-Gyamfi, K., Stiff, L. V., & Bossé, M. J. (2012). Lost in Translation: Examining Translation Errors Associated With Mathematical Representations. School Science and Mathematics, 112(3), 159–170. https://doi.org/10.1111/j.1949-8594.2011.00129.x

Anwar, R. B., Yuwono, I., As’ari, A. R., Sisworo, & Rahmawati, D. (2016). Mathematical representation by students in building relational understanding on concepts of area and perimeter of rectangle. Educational Research and Reviews, 11(21), 2002–2008. https://doi.org/10.5897/err2016.2813

Bal, A. P. (2014). The Examination of Representations used by Classroom Teacher Candidates in Solving Mathematical Problems. Educational Sciences: Theory & Practice, 14(6), 2349–2365. https://doi.org/10.12738/estp.2014.6.2189

Bossé, M. J., & Chandler, K. (2014). Students ’ Differentiated Translation Processes. International Journal for Mathematics Teaching and Learning, 828.

Brahier, D. (2010). Teaching secondary and middle school mathematics. https://doi.org/10.4324/9781315685502

Irawati, S., & Hasanah, S. I. (2016). Representasi Mahasiswa Berkemampuan Matematika Tinggi Dalam Memecahkan Masalah Program Linier. Prosiding Seminar Matematika Dan Pendidikan Matematika, 18(Inovasi), 80–86.

Kowiyah, & Mulyawati, I. (2018). An analysis of primary school students’ representational ability in mathematics based on gender perspective. Journal of Physics: Conference Series, 948(1). https://doi.org/10.1088/1742-6596/948/1/012016

Maryani, A., & Setiawan, W. (2021). Analisis Kesulitan Siswa Dalam Menyelesaikan Soal Sistem Persamaan Linear Dua Variabel Pada Kelas VIII. MATH-EDU: Jurnal Ilmu Pendidikan Matematika, 6(3), 100–114. https://doi.org/10.32938/jipm.6.3.2021.100-114

Monariska, E., & Komala, E. (2021). Analisis Kemampuan Representasi Matematis Mahasiswa Pada Mata Kuliah Program Linear. Jurnal Edukasi Dan Sains Matematika (JES-MAT), 7(1), 43–58. https://journal.uniku.ac.id/index.php/JESMath/article/download/3884/2616

National Council of Teacher of Mathematics. (2000). Principles and Standards for School Mathematics. In School Science and Mathematics (Vol. 47, Issue 8). https://doi.org/10.1111/j.1949-8594.2001.tb17957.x

Polya, G. (1973). How to Solve It Mathematical Method.

Puspitasari, N. D. (2022). Analısıs Representası Matematıs Sıswa SMP dalam Memecahkan Masalah Arıtmatıka Sosıal.. Jurnal Ilmiah Pendidikan Matematika, 11(3). https://jurnalmahasiswa.unesa.ac.id/index.php/mathedunesa/article/view/25554/23429

Putri, O. R. U., & Zukhrufurrohmah. (2022). Proses Translası Permasalahan Realıstık Menjadı Representası Matematıs Mahasıswa Teknık Informatıka. 11(2), 1343–1354.

Rahmawati, D. (2019). Translatıon Between Mathematıcal Representatıon : How Students Unpack Source Representatıon ? 7(1), 50–64.

Rahmawati, D., Purwantoa, P., Subanji, S., Hidayanto, E., & Anwar, R. B. (2017). Process of Mathematical Representation Translation from Verbal into Graphic. International Electronic Journal of Mathematics Education, 12(4), 367–381. https://doi.org/10.29333/iejme/618

S, A., Juniati, D., & Sulaiman, R. (2019). Students’ Mathematical Representation in Geometry Problem Solving Based Sex Differences. International Journal of Trends in Mathematics Education Research, 2(4), 184–187. https://doi.org/10.33122/ijtmer.v2i4.94

Siang, J. J. (2011). Riset Operasi dalam Pendekatan Algoritmis (pp. 1–353).

Tripathi, P. N. (2008). Multiple representations, III. Mathematics Teaching in the Middle School, 13(8).

Downloads

Published

2024-03-12

How to Cite

Syarief, N. H., & Fatmawati, A. (2024). The Process of Translating a Linear Program Problem into A Mathematical Representation. Jurnal Pendidikan Matematika (JPM), 10(1), 65–73. https://doi.org/10.33474/jpm.v10i1.20506