Action Cards as Means into Second Graders’ Metacognition During Mathematics Problem Solving

Ana Kuzle


Despite the important role that metacognition plays in school mathematics, only recently has attention turned to primary grades. The aim of this exploratory qualitative study was to find out to what extent six second graders engage in metacognitive behaviors during mathematics problem solving. The analysis was based on the adaptation of the multi-method interview approach, whose core idea lies upon using action cards consisting of metacognitive cues. The results show that even young children engage in different metacognitive actions. However, the use of action cards revealed some drawbacks with respect to studying young children’s metacognition during mathematics problem solving, which are discussed at the end.


Action cards; Metacognition; Multi-method interview approach; Mathematics problem solving; Elementary school students

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XXXX (2005).

Adibnia, A., & Putt, I. J. (1998). Teaching problem solving to year 6 students: A new approach. Mathematics Education Research Journal, 10(3), 42–58.

Alexander, J. M., & Schwanenflugel, P. J. (1996). Development of metacognitive concepts about thinking in gifted and nongifted children: Recent research. Learning and Individual Differences, 8, 305–325.

Alexander, J. M., Carr, M., & Schwanenflugel, P. J. (1995). Development of metacognition in gifted children: Directions for future research. Developmental Review, 15, 1–37.

Baumert, J., Heyn, S., & Köller, O. (1992). Das Kieler Lernstrategien-Inventar (KSI). Kiel: Institut für die Pädagogik der Naturwissenschaften an der Universität Kiel.

Boekaerts, M. (1997). Self-regulated learning: A new concept embraced by researchers, policy makers, educators, teachers, and students. Learning and Instruction, 7, 161–186.

Brown, A. L. (1978). Knowing when, where, and how to remember: A problem of metacognition. In R. Glaser (Ed.), Advances in instructional psychology (Vol. 1, pp. 77–165). Hillsdale, NJ: Erlbaum.

Depaepe, F., DeCorte, E., & Verschaffel, L. (2010). Teachers’ metacognitive and heuristic approaches to word problem solving: analysis and impact on students’ beliefs and performance. ZDM – The International Journal on Mathematics Education, 42(2), 205–218.

Desoete, A., Roeyers, H., & Buysse, A. (2001). Metacognition and mathematical problem solving in grade 3. Journal of Learning Disability, 34(5), 435–449.

Ericsson, K. A., & Simon, H. A. (1980). Verbal reports as data. Psychological Review, 87(3), 215–251.

Flavell, J. H. (1976). Metacognition aspects of problem solving. In L. B. Resnick (Ed.), The nature of intelligence (pp. 231–236). Hillsdale, NJ: Erlbaum.

Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive developmental inquiry. American Psychologist, 34(10), 906–911.

Garner, R. (1988). Verbal-report data on cognitive and metacognitive strategies. In C. E. Weinstein, E. T. Goetz, & P. A. Alexander (Eds.), Learning and study strategies: Issues in assessment, instruction, and evaluation. San Diego, CA: Academic Press.

Garofalo, J., & Lester, F. K. (1985). Metacognition, cognitive monitoring, and mathematical performance. Journal for Research in Mathematics Education, 16, 163–176.

Ginsburg, H. P., Kossan, N. E., Schwartz, R., & Swanson, D. (1983). Protocol methods on mathematical thinking. In H. P. Ginsburg (Ed.), The development of mathematical thinking (pp. 7–47). New York, NY: Academic Press.

Goos, M., & Galbraith, P. (1996). Do it this way! Metacognitive strategies in collaborative mathematical problem solving. Educational Studies in Mathematics, 30(3), 229–260.

Hattie, J. (2009). Visible learning. A synthesis of over 800 meta-analyzes relating to achievement. New York, NY: Routledge.

Hasselhorn, M. (2010). Lebenslanges Lernen aus der Sicht der Metakognitionsforschung. In W. Lempert (Ed.), Lebenslanges Lernen im Beruf - seine Grundlegung im Kindes- und Jugendalter. Psychologische Theorie, Empirie und Therapie (pp. 41–53). Opladen: Leske + Budrich.

Händel, M., Artelt, C., & Weinert, S. (2013). Assessing metacognitive knowledge: Development and evaluation of a test instrument. Journal für Bildungsforschung Online, 2, 162–188.

Kramarski, B., Mevarech, Z. R., & Arami, M. (2002). The effects of metacognitive instruction on solving mathematical authentic tasks. Educational Studies in Mathematics, 48, 225–250.

Larkin, S. (2010). Metacognition in young children. Oxon: Routledge.

Lester, F. K. (1980). Research on mathematical problem solving. In R. J. Shumway (Ed.), Research in mathematics education (pp. 286–323). Reston, VA: National Council of Teachers of Mathematics.

Patrick, H., & Middleton, M. J. (2010). Turning the kaleidoscope: What we see when self-regulated learning is viewed with qualitative lens. Educational Psychologist, 37(1), 27–39.

Randhawa, B. (1994). Theory, research, and assessment of mathematical problem solving. The Alberta Journal of Educational Research, 40(2), 213–231.

Schneider, W., & Artelt, C. (2010). Metacognition and mathematics education. The International Journal on Mathematics Education, 42, 149–161.

Schoenfeld, A. H. (1985a). Mathematical problem solving. Orlando, FL: Academic Press.

Schoenfeld, A. H. (1985b). Making sense of “out loud” problem solving protocols. Journal of Mathematics Behavior, 4, 171–191.

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). New York, NY: Macmillan.

Schraw, G. (1998). Promoting general metacognitive awareness. Instructional Science, 26, 113–125.

Veenman, M. V. J. (2005). The assessment of metacognitive skills: What can be learned from multi-method designs? In C. Artelt & B. Moschner (Eds.), Lernstrategien und Metakognition: Implikationen für Forschung und Praxis (pp. 75–97). Berlin: Waxmann.

Veenman, M. V. J., Van Hout-Wolters, B. H. A. M., & Afflerbach, P. (2006). Metacognition and learning: Conceptual and methodological considerations. Metacognition Learning, 1, 3–14.

Wang, M. C., Haertel, G. D., & Walberg, H. J. (1993). Toward a knowledge base for school learning. Review of Educational Research, 63(3), 249–294.

Whitebread, D., Coltman, P., Anderson, H., Mehta, S., & Pasternak, D. P. (2005). Metacognition in young children: Evidence form a naturalistic study of 3–5 year olds. Paper presented at 11th EARLI International Conference, University of Nicosia, Cyprus.

Wilson, J., & Clarke, D. (2002). Monitoring mathematical metacognition. Paper presented at the Annual meeting of the American Educational Research Association, New Orleans, LA.

Wilson, J., & Clarke, D. (2004). Towards the modelling of mathematical metacognition. Mathematics Education Research Journal, 16(2), 25–48.


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