An Assessment Of High School Leavers' Development of Mathematical Thinking
DOI:
https://doi.org/10.21834/ebpj.v7iSI8.3907Keywords:
Mathematical Thinking, Non-Routine, Problem-Solving, HeuristicsAbstract
This descriptive design study evaluated the mathematical thinking attainment level of 649 High School leavers, ages 18 to 19 years, in the context of their preparation for facing the challenges of the tertiary level math curriculum. The findings depict students' low level of mathematical thinking attainment regarding their paucity in critical thinking and a lack of heuristics repertoire as a guide to employing their contextual knowledge in solving fundamental non-routine problems. These findings are a matter of concern as there seems to be a mutual exclusivity between the content learned in school and the ability of students to think mathematically.
References
Adiguzel, T., & Akpinar, Y. (2004). Improving school children's mathematical word problem-solving skills through computer-based multiple representations. Association for Educational Communications and Technology
Al-Mutawah, M. A., Eid, A., Thomas, R., Mahmoud, E. Y., & Fateel, M. J. (2018). Analysing Mathematical Abilities of High School Graduates. KnE Social Sciences, 3(10), 26–41. https://doi.org/10.18502/kss.v3i10.310
Camera, Lauren (2016). High School Seniors Aren't College-Ready. Retrieved on August 19, 2021, from, https://www.usnews.com/news/articles/2016-04-27/high-school- seniors-arent-college-ready-naep-data-show
Chen, Grace (2020). New Survey Shows Community College Students Feel Unprepared for the Rigors of Higher Education. Retrieved on August 15, 2021, from, https://www.communitycollegereview.com/blog/new-survey-shows-community-college-students-feel-unprepared-for-the-rigors-of-higher-education
Devlin, K. (2013). What is mathematics? Retrieved on August 19, 2021 from http://crcrth650.wikispaces.umb.edu/file/view/Devlin+-+Background_Reading.pdf
Featherstone, H. S., Smith, S. P., Beasley, K., Corbin, D., & Shank, C. (1995). Expanding the Equation: Learning Mathematics Through Teaching in New Ways. (Research Report 95−1). East Lansing: National Centre for Research on Teacher Learning. Michigan State University
Haber, Jonathan (2020). It’s Time to Get Serious About Teaching Critical Thinking. Retrieved on September 11, 2021, from, https://www.insidehighered.com/views/2020/03/02/teaching-students-think-critically-opinion
Kothari, C.R. (2004) Research Methodology: Methods and Techniques. 2nd Edition, New Age International Publishers, New Delhi.
Mohammadpour, I., Moradi, G. F., & Najib Abdul Ghafar, M. (2009). Modeling affecting factors on mathematics performance for Singaporean eight- grades students based on TIMSS 2007. Paper presented at the Proceedings of 2009 International Conference on Social Science and Humanities (ICSSH 2009), Singapore.
Mullis, I. V. S., Martin, M. O., Smith, T. A., Garden, R. A., Gregory, K. D., Gonzalez, E. J., et al. (2003). TIMSS assessment frameworks and specifications 2003 (2nd edition). Chestnut Hill, MA: Boston College.
Nasir, N, A, M, N,; Singh, P,; Narayanan, G,; Han, C, T,; Rasid, N, S,; Hoon, T, S. (2021). An Analysis of Undergraduate Students Ability in Solving Non-Routine Problems. Review of International Geographical Education (RIGEO), 11(4), 861-872.
Noor Azina Ismail, & Halimah Awang. (2009). Mathematics Achievement among Malaysian Students: What Can They Learn from Singapore? International Education Studies, 2, 9-17
Parmjit, S., Teoh, S. H., Rasid, N. S., Md Nasir, N. A., Cheong, T. H., Abdul Rahman, N. (2016). Teaching and learning of college mathematics and student mathematical thinking: are the lines on the same track? Asian Journal of University Education, 12(2), 69-84.
Parmjit, Singh & White, Allan (2006). Unpacking First Year University Students’ Mathematical Content Knowledge Through Problem Solving. Asian Journal of University Education, 2, 1, p.33 - 56.
Polya, G. (2004). How to Solve It: a new aspect of mathematical method. Princeton, NJ: Princeton University Press.
Posamentier, A. S., Smith, B. S., & Stepelman, J. (2006). Teaching secondary mathematics: techniques and enrichment units. Upper Saddle River: Prentice-Hall.
Radzi, N. M., Abu, M. S., & Mohamad, S. (2010). Math-oriented critical thinking skills in engineering. Retrieved on July 29, 2021, from https://www.researchgate.net/publication/224147759_Math-oriented_critical_thinking_skills_in_engineering
Ridgway, J., Nicholson, J., & McCusker, S. (2011). developing statistical literacy in students and teachers. In Batanera, C., Burrill, G. & Reading, C., Teaching Statistics in School Mathematics - Challenges for Teaching and Teacher Education: A Joint ICMI/IASE Study: The 18th ICMI Study, 311-322. Springer.
Steffee, L. P. (1994). Children’s multiplying scheme. In G. Harel and J. Confrey (eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 3 – 39.). State University of New York Press
The Star Online (December 31 2016). Mahdzir: New KSSM, KSSR curriculum from 2017. Retrieved on Mar 20, 2022, from https://www.thestar.com.my/news/nation/2016/12/31/mahdzir-new-kssm-kssr-curriculum-from-2017/
Wardani, Rahayu; Oktaviana, Sinaga; Maya, Oktaviani; & Rizka, Zakiah (2018). Proceedings of the 1st International Conference on Innovation in Education. Retrieved on September 27, 2021, from https://www.atlantis-press.com/proceedings/icoie-18/55912943
Zacharopoulosa, G., Sellaa, F., and Kadosha, R. C. (2021). The impact of a lack of mathematical education on brain development and future attainment. Retrieved on Feb 20, 2022, from https://www.pnas.org/doi/pdf/10.1073/pnas.2013155118
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Parmjit Singh, Sian Hoon Teoh , Nurul Akmal Md Nasir, Tau Han Cheong , Norsyazwani Md Rasid
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
