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Metacognitive decision making and social interactions during paired problem solving

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Abstract

The study described in this paper investigated the metacognitive strategies used by a pair of senior secondary school students while working together on mechanics problems. Verbal protocols from think-aloud paired problem-solving sessions were analysed in order to examine the monitoring contributions of each individual student, and the significance of student-student interactions. Although the students were generally successful in coordinating their different, yet complementary, problem-solving roles, their metacognitive decision making was sometimes adversely affected by the social interaction between them. The findings suggest some potential benefits and pitfalls of using small group work for problem solving.

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References

  • Australian Education Council. (1991).A national statement on mathematics for Australian schools. Melbourne: Curriculum Corporation.

    Google Scholar 

  • Board of Senior Secondary School Studies. (1992).Senior syllabus in Mathematics A. Brisbane: Author.

    Google Scholar 

  • Brown, A. L., Bransford, J. D., Ferrara, R. A., & Campione, J. C.. (1983). Learning, remembering and understanding. In P. H. Mussen (Ed.),Handbook of child psychology, Vol. 3 (4th ed.) (pp. 77–166). New York: Wiley.

    Google Scholar 

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

    Article  Google Scholar 

  • Forman, E. (1989). The role of peer interaction in the social construction of mathematical knowledge.International Journal of Educational Research, 13, 55–70.

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Genest, M., & Turk, D. (1981). Think-aloud approaches to cognitive assessment. In T. V. Merluzzi, C. R. Glass & M. Genest (Eds.),Cognitive assessment (pp. 233–269). New York: The Guilford Press.

    Google Scholar 

  • Good, T. L., Mulryan, C., & McCaslin, M. (1992). Grouping for instruction in mathematics: A call for programmatic research on small-group processes. In D. A. Grouws (Ed.),Handbook of research on mathematics teaching and learning (pp. 165–196). New York: Macmillan.

    Google Scholar 

  • Kroll, D. L.. (1988). Cooperative problem solving and metacognition: A case study of three pairs of women.Dissertation Abstracts International, 49, 2958 A. (University Microfilms No. 8902580).

    Google Scholar 

  • Lester, F. K., Jr., Garafolo, J., & Kroll, D. (1989).The role of metacognition in mathematical problem solving: A study of two grade seven classes (Final Report). Bloomington, IN: Indiana University, Mathematics Education Development Centre (ED 314 255).

    Google Scholar 

  • Nisbett, R. E. & Wilson, T. D.. (1977). Telling more than we can know: Verbal reports on mental processes.Psychological Review, 84, 231–259.

    Article  Google Scholar 

  • Schoenfeld, A. H.. (1983). Beyond the purely cognitive: Belief systems, social cognitions, and metacognitions as driving forces in intellectual performance.Cognitive Science, 7, 329–363.

    Article  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Schoenfeld, A. H.. (1987). What’s all the fuss about metacognition? In A. H. Schoenfeld (Ed.),Cognitive science and mathematics education (pp. 189–215). Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Silver, E. A.. (1982). Knowledge organisation and mathematical problem solving. In F. K. Lester, Jr. & J. Garofalo (Eds.),Mathematical problem solving: Issues in research (pp. 15–25). Philadelphia: The Franklin Institute Press.

    Google Scholar 

  • Venezky, R. L., & Bregar, W. S.. (1988). Different levels of ability in solving mathematical word problems.Journal of Mathematical Behavior, 7, 111–134.

    Google Scholar 

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Goos, M. Metacognitive decision making and social interactions during paired problem solving. Math Ed Res J 6, 144–165 (1994). https://doi.org/10.1007/BF03217269

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