ISSN: 2222-6990
Open access
Solving mathematical problems is quite unique as solution can be done with multiple ways of strategies and follow the process. The purpose of this paper is to review the definitions of solving mathematical problems among college students. This review article based on the terms of mathematical process, mathematical models or mathematical strategies of solving mathematical problems among researchers and scholars. There are two types of problem solving definitions among researchers and scholars which called process and strategy. In the problem solving processes there are also solving strategies but there are a lot of mathematical strategies that can be used to solve mathematical problems. Various terms are used by mathematicians despite the fact that the process performed to solve the problem is the same. This review paper will contribute to the literature on mathematical content of problem solving models. Solving strategies in this article only limited in mathematical problems. This study makes a new contribution to mathematical problem solvers to identify what are they used in making solutions whether it is a process or strategy.
Bahagian Pembangunan Kurikulum. (2012). Spesifikasi Kurikulum Matematik Tingkatan 4 (Pertama). Putrajaya: Kementerian Pendidikan Malaysia.
Bahagian Pembangunan Kurikulum. (2013). Spesifikasi Kurikulum Matematik Tingkatan 5 (Pertama). Putrajaya: Kementerian Pendidikan Malaysia.
Charles, R., Lester, F., & O’Daffer, P. (2005). How to Evaluate Progress in Problem Solving. National Council of Teachers of Mathematics.
Corter, J. E., & Zahner, D. C. (2007). Use of External Visual Representations in Probability Problem Solving. Statistics Education Research Journal.
Edens, K., & Potter, E. (2008). How Students “Unpack” the Structure of a Word Problem: Graphic Representations and Problem Solving. School Science and Mathematics, 8(5), 184–196.
Goldin, G. A. (1997). Chapter 4: Observing Mathematical Problem Solving through Task-Based Interviews Observing Mathematical Problem Solving through Task-Based Interviews. Source: Journal for Research in Mathematics Education. Monograph Qualitative Research Methods in Mathematics Education, 9, 40–62. Retrieved from http://www.jstor.org/stable/749946
Goldin, G. A. (1998). Representational systems, learning, and problem solving in mathematics. The Journal of Mathematical Behavior, 17(2), 137–165. https://doi.org/10.1016/S0364-0213(99)80056-1
Hayes, J. R. (1981). The Complete Problem Solver. Philadelphia, Pennsylvania: The Franklin Institute Press.
Karasel, N., Ayda, O., & Tezer, M. (2010). The relationship between mathematics anxiety and mathematical problem solving skills among primary school students. In Procedia - Social and Behavioral Sciences. https://doi.org/10.1016/j.sbspro.2010.03.946
Kementerian Pendidikan Malaysia. (2013). Malaysia Education Blueprint 2013 - 2025. Malaysia Education Blueprint, Malaysia. https://doi.org/10.1016/j.tate.2010.08.007
Krawec, J., Huang, J., Montague, M., Kressler, B., & De Alba, A. M. (2013). The effects of cognitive strategy instruction on knowledge of math problem-solving processes of middle school students with learning disabilities. Learning Disability Quarterly, 36(2), 80–92. https://doi.org/10.1177/0731948712463368
Krulik, S., & Rudnick, J. A. (1995). The New Sourcebook for Teaching and Problem Solving in Elementary School. Boston: Temple University.
Lester, F. K. (1994). Musings about Mathematical Problem-Solving Research: 1970-1994. Journal for Research in Mathematics Education. https://doi.org/10.2307/749578
Lester, F. K. (2007). Second Handbook of Research on Mathematics Teaching and Learning. https://doi.org/10.1017/CBO9781107415324.004
Liljedahl, P., Santos-Trigo, M., Malaspina, U., & Bruder, R. (2016). Problem Solving in Mathematics Education. https://doi.org/10.1007/978-3-319-40730-2
Mayer, R. E. (1989). Models for Understanding. Review of Educational Research, 59(1), 43–64. https://doi.org/10.3102/00346543059001043
NCTM. (2010). Why is Teaching with Problem Solving Important to Student Learning? National Council of Teachers of Mathematics, 13(12), 1–6. https://doi.org/10.1016/S2213-8587(14)70016-6
Nik Pa, N. A. (2008). Isu-isu Kritikal dalam Pendidikan Matematik. Kuala Lumpur,Malaysia: Penerbit Universiti Malaya.
Pehkonen, E. (2011). Problem Solving in Mathematics Education in Finland. Proceedings of ICMI Symposium, (Ncsm), 7–11. Retrieved from http://www.unige.ch/math/EnsMath/Rome2008/ALL/Papers/PEHKON.pdf
Pelczer, I., Singer, F. M., & Voica, C. (2014). Dynamic Thinking and Static Thinking in Problem Solving: Do they Explain Different Patterns of Students’ Answers? Procedia - Social and Behavioral Sciences, 128, 217–222. https://doi.org/10.1016/j.sbspro.2014.03.146
Perdomo-Díaz, J. (2017). Problem Solving as a Professional Development Strategy for Teachers: A Case Study with Fractions. EURASIA Journal of Mathematics, Science and Technology Education, 13(3), 987–999. https://doi.org/10.12973/eurasia.2017.00653a
Polya, G. (1945). Polya’ s Problem Solving Techniques. In How To Solve It (pp. 1–4).
Posamentier, A. S., & Krulik, S. (1998). Problem-Solving Strategies for Efficient and Elegant Solutions. Thousans Oaks,California: Corwin Press.
Schoenfeld, A. H. (1985). Mathematical Problem Solving. Orlando, Florida: Academic Press Inc.
Schoenfeld, A. H. (2013). Reflections on Problem Solving Theory and Practice. The Mathematics Enthusiast, 10(1 & 2), 9–34. Retrieved from http://scholarworks.umt.edu/tme%5Cnhttp://scholarworks.umt.edu/tme/vol10/iss1/3%5Cnhttp://www.math.umt.edu/TMME/vol10no1and2/1-Schoenfeld_pp9_34.pdf
Woolfolk, A. E. (1998). Educational Psychology (7th ed.). Allyn and Bacon.
In-Text Citation: (Yusuf et al., 2021)
To Cite this Article: Yusuf, M., Murshid, S. F., Rahim, S. S. A., & Eu, L. K. (2021). Solving Mathematical Problems among College Students: Process or Strategy? International Journal of Academic Research in Business and Social Sciences, 11(4), 1144–1152.
Copyright: © 2021 The Author(s)
Published by HRMARS (www.hrmars.com)
This article is published under the Creative Commons Attribution (CC BY 4.0) license. Anyone may reproduce, distribute, translate and create derivative works of this article (for both commercial and non-commercial purposes), subject to full attribution to the original publication and authors. The full terms of this license may be seen at: http://creativecommons.org/licences/by/4.0/legalcode