Metacognitive Blindness in Mathematics Problem-Solving

  • Surya Sari Faradiba Universitas Islam Malang
  • Alifiani Alifiani Universitas Islam Malang
Keywords: mathematics learning, metacognitive blindness, problem-solving

Abstract

Metacognitive blindness is usually synonymous with low math ability. However, this study reveals the opposite. Metacognitive blindness can also be experienced by students with good learning achievement. This research was conducted on students majoring in Mathematics Education who have the best academic achievement in their class. The data collected is in the form of words obtained through interviews after solving math problems. The results of the qualitative analysis show that subjects who are students with good academic performance can experience anomalous results during the problem-solving process, which is a condition in which the subject feels that the math problem at hand contains errors. The error in question is, the subject stutters the squares on the chessboard that are not the same size, but in reality they are not.

References

Creswell, J. W. (2012). Research design Pendekatan kualitatif, Kuantitatif dan mixed. Yogyakarta: Pustaka Belajar.

Dorr, L., Perels, F. (2019). Improving Metacognitive Abilities as an Important Prerequisite for Self-regulated Learning in Preschool Children. International Electronic Journal of Elementary Education. 11(5): 449-459

Dunlosky, J., Hertzog, C., Kennedy, M., & Thiede, K. (2005). The self-monitoring approach for effective learning. International Journal of Cognitive Technology. 10(1), 4–11.

Erickson, S., & Heit, E. (2015). Metacognition and Confidence: Comparing Math to Other Academic Subject. Frontiers in Psychology. 6: 742

Faradiba, S. S., Sa'dijah, C., Parta, I. N., & Rahardjo, S. (2019a). Metacognitive therapy for mathematics disorder. Journal of physics: conference series, 1157(4)

Faradiba, S. S., Sa’dijah, C., Parta, I. N., & Rahardjo, S. (2019b). Looking without seeing: the role of metacognitive blindness of student with high math anxiety. International Journal of Cognitive Research in Science, Engineering and Education (IJCRSEE). 7(2): 53-65

Goos, M. (2002). Understanding Metacognitive Failure. Journal of Mathematical Behaviour, 21(3), 283-302.

Hassan, N., & Rahman, S. (2012). Problem Solving Skills, Metacognitive Awareness, and Mathematics Achievement: a Mediation Model. New Educational Review 49(3): 201-212.

Hilawani, Yasser. (2017). Rendezvous with IQ: Metacognition in real-life situations. Educational Studies. Volume 44, issue 2: 119-146

Jacobse, A. E., & Harskamp, E. G. (2012). Towards efficient measurement of metacognition in mathematical problem solving. Metacognition Learning 7: 133–149

Kim, Y.R., Park, M.S., Moore, T.J., & Varma, S. (2013). Multiple levels of metacognition and their elicitation through complex problem-solving tasks. The Journal of Mathematical Behaviour. 32(3): 377-396

Kim, J.Y., Lim, K.Y. (2019). Promoting Learning in Online, ill structured problem solving: The Effects of Scaffolding Type and Metacognition Level. Computers & Education. Volume 138: 116-129.

Metcalfe, J., and Finn, B. (2008). Evidence that judgments of learning are causally related to study choice. Psychonomic Bulletin and Review. 15(1): 174–179.

Miller, T. M., and Geraci, L. (2011). Unskilled but aware: reinterpreting overconfidence in low-performing students. Journal of Experimental Psychology: Learning, Memory and Cognition. 37(2): 502–506

Ng, K. E. (2010). Partial Metacognitive Blindness in Collaborative Problem Solving. Shaping the future of mathematics education: Proceedings of the 33rd annual conference of The Mathematics Education Research Group of Australasia, 446-453. Fremantle: Merga.

Safari, Y., & Arezy, S. (2012). Improving Students' Educational Performance using Strategic Metacognitive Training. Modern Journal of Education (MJE) 1(10-11): 27-31.

Son, L. K., & Sethi, R. (2010). Adaptive Learning and the Allocation of Time. Adaptive Behavior, 18(2): 132–140.

Wismath, S., Orr, D., & Good, B. (2014). Metacognition: Student Reflections on Problem Solving. Journal on Excellence in College Teaching. 25(2): 69-90

Published
2020-11-30
How to Cite
Faradiba, S., & Alifiani, A. (2020). Metacognitive Blindness in Mathematics Problem-Solving. Journal of Education and Learning Mathematics Research (JELMaR), 1(2), 43-49. https://doi.org/10.37303/jelmar.v1i2.27
Section
Articles