Elementary Student' Spontaneous Metacognitive Functions in Different Types of Mathematical Problems

Authors

  • Evagelos Mokos UNIVERSITY OF THE AEGEAN, GREECE
  • Sonia Kafoussi UNIVERSITY OF THE AEGEAN.GREECE

https://doi.org/10.4471/redimat.2013.29

Downloads

Abstract

Metacognition is the mind's ability to monitor and control itself or, in other words, the ability to know about our knowing (Dunlosky & Bjork, 2008). In mathematics education, the importance of the investigation of students' metacognition during their mathematical activity is focused on the aerea of mathematical problem solving. This study investigates the spontaneous emergence of the metacognitive functions of control and monitoring during the solving of different types of mathematical problems with fifth grade students. We used the "think aloud"method on a group of ten year old students and the resulys showed that metacognitive strategies were used by the students so as the the metacognitive functions of control and monitoring to be achieved.

Downloads

Download data is not yet available.

Author Biographies

Evagelos Mokos, UNIVERSITY OF THE AEGEAN, GREECE

Pre school Education and Educational Design, Dr

Sonia Kafoussi, UNIVERSITY OF THE AEGEAN.GREECE

Pre school Education and Educational Design, Associate Proffesor

References

Biryukov, P. (2002). Metacognitive Aspects of Solving Combinatorics Problems. International Journal for Mathematics Teaching and Learning, 1 – 19.

Google Scholar Crossref

Brown, A. (1987). Metacognition, executive control, self-regulation and other more mysterious mechanisms. In Frann Weinert & Rainer Kluwe (Eds.), Metacognition, Motivation and Understanding (65-115). London: LEA.

Google Scholar Crossref

Dunlosky, J. & Bjork, R. (2008). The Integrated Nature of Metamemory and Memory. In Dunlosky, J., Bjork, R (Eds.), Handbook of Memory and Metamemory (pp. 11-28). Psychology Press.

Google Scholar Crossref

Ericsson, K. & Simon, H. A. (1980). Verbal reports as data. Psychological Review, 87, 215–251.

Google Scholar Crossref

Ericsson, K. & Simon, H. A. (1993). Protocol analysis: Verbal reports as data. Cambridge: MIT.

Google Scholar Crossref

Flavell, J. H. (1976). Metacognitive aspects of problem solving. In L. B. Resnick (Ed.), The nature of intelligence (pp. 231–235). Hillsdale, NJ: Erlbaum.

Google Scholar Crossref

Flavell, J. (1979). Metacognition and cognitive monitoring. American Psychologist, 34, 906-911.

Google Scholar Crossref

Focant, J., Grégoire, J. & Desoete, A. (2006). Goal setting, planning and control strategies and arithmetical problem solving at grade 5.In A. Desoete and M. Veenman (Εds.), Metacognition and Mathematics Education, (pp. 51-71). Nova Science Publishers, Inc, New York.

Google Scholar Crossref

Fortunato, I., Hecht, D., Tittle, C.K. & Alvarez, L. (1991). Metacognition and problem solving. Arithmetic Teacher 39(4), 38–40.

Google Scholar Crossref

Gama C., (2004). Integrating Metacognition Instruction in Interactive Learning Environmets, Doctoral Thesis, University of Sussex.

Google Scholar Crossref

Goos, M., Galbraith P., (1996). Do it this way! Metacognitive strategies in collaborative mathematical problem solving. Educational Studies in Mathematics, 30, 229 – 260.

Google Scholar Crossref

Goos, M., Galbraith P., Renshaw, P., (2002). Socially Mediated Metacognition: Creating Collaborative Zones of Proximal Development in Small Group Problem Solving, Educational Studies in Mathematics, 49.

Google Scholar Crossref

Hartman, H. J., (2001). Developing students’ metacognitive knowledge and strategies. In H. J. Hartman (ed.), Metacognition in Learning and Instruction: Theory, Research, and Practice, chapter 3, (pp. 33–68). Kluwer Academic Publishers, Dordrecht, The Netherlands.

Google Scholar Crossref

Kapa, E., (2001). A metacognitive support during the process of problem solving in a computerized environment, Educational Studies in Mathematics, 47, 317–336.

Google Scholar Crossref

Kramarski, B., Mevarech, Z., Arami, M., (2002). The Effects of Metacognitive Instruction on Solving Mathematical Authentic Tasks, Educational Studies in Mathematics, 49, 225 – 250.

Google Scholar Crossref

Ku, K., Ho, I., (2010). Metacognitive strategies that enhance critical thinking. Metacognition and Learning, volume 5, Number 3, 251-267.

Google Scholar Crossref

Lenat D. B., (1983). Theory Formation by Heuristic Search. The nature of heuristics II: background and examples. Artificial Intelligence 21, pp.31-60.

Google Scholar Crossref

Mevarech, Z., Kramarski, B., (1997). IMPROVE: A multidimentional method for teaching mathematics in heterogeneous classrooms. American Educational Research Journal, 34, 365-394.

Google Scholar Crossref

Mevarech Z., Fridkin, S., (2006). The effects of IMPROVE on mathematical knowledge, mathematical reasoning and metacognition, Metacognition Learning, 85-97

Google Scholar Crossref

Mohini, M., Nai, Tan Ten, (2005). The use of metacognitive process in learning mathematics, Reform, Revolution and Paradigm Shifts in Mathematics Education, 159-162, Johor Bahru, Malaysia, Nov 25th – Dec 1st

Google Scholar Crossref

Montague, M., (1992). The effects of cognitive and metacognitive strategy instruction on the mathematical problem solving of middle school students with learning disabilities, Journal of Learning Disabilities 25, 230–248.

Google Scholar Crossref

National Council of Teachers of Mathematics, (2000). Principles and standards for school mathematics. Reston, VA: Author.

Google Scholar Crossref

Nelson, T. O., & Narens, L., (1990). Metamemory: A theoretical framework and new findings. The Psychology of Learning and Motivation, 26, 125–141.

Google Scholar Crossref

Nelson, T. O., & Narens, L., (1994). Why investigate metacognition? In J. Metcalfe & A. P. Shimamura (Eds.), Metacognition: Knowing about knowing (pp. 1–25). Cambridge, MA: MIT Press.

Google Scholar Crossref

Schoenfeld, A. H., (1985). Mathematical Problem Solving. Orlando, Florida, Academic Press.

Google Scholar Crossref

Schoenfeld, A. H., (1987). A theory of teaching and its applications, The Montana Mathematics Enthusiast, ISSN 1551-3440, Monograph 3 pp.33-38, 2007, The Montana Teachers of Mathematics.

Google Scholar Crossref

Schoenfeld, A. H., (1992). Learning to think mathematically: Problem solving, metacognition and sense-making in mathematics. In D. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 334-370). Macmillan, New York.

Google Scholar Crossref

Schraw, G. & Dennison, R.S., (1994). Assessing metacognitive awareness. Contemporary Educational Psychology, 19, 460-475.

Google Scholar Crossref

Schraw, G., Moshman, D., (1995). Metacognitive Theories, Educational Psychology Review, 7:4, 351–371.

Google Scholar Crossref

Schwartz, B., Perfect, T., (2001). Introduction: Toward an applied metacognition. In T. Perfect and B. Schwartz (Eds.). Applied Metacognition. Cambridge University Press.

Google Scholar Crossref

Van Overschelde, J. P., (2008). Metacognition: Knowing About Knowing. In J. Dunlosky and R. Bjork (Eds.), Handbook of Metamemory and Memory (pp. 47-71).

Google Scholar Crossref

Downloads

Published

2013-06-24

Almetric

Dimensions

Issue

Section

Articles