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What Makes Metacognition as Socially Shared in Mathematical Problem Solving?

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Metacognition: Fundaments, Applications, and Trends

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 76))

Abstract

Mechanisms making metacognition as differentiator for successful collaborative problem solving has become an important topic for self-regulated and collaborative learning research. Recent empirical research on socially shared metacognition has examined the role of metacognition in technology supported learning situations. However, detailed research on operationalizing metacognition in collaborative learning remains scarce. Advancing understanding regarding socially shared metacognition in learning, the mechanisms and processes that advance the use of metacognition beyond the individual level to the group level should be defined more precisely. In this article, the aim is to contribute to the ongoing discussion and advance empirical understanding what makes metacognition as socially shared when pre-service primary teachers triads’ (N = 18) collaborative mathematical problem solving is supported by an asynchronous and text-based WorkMates (WM) learning environment.

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Abbreviations

ANOVA:

Analysis of variance

WM:

WorkMates

SAGA:

Students’ appraisals of group assessment

References

  1. Veenman, M.V.J., Van Hout-Wolters, B., Afflerbach, P.: Metacognition and learning: conceptual and methodological considerations. Metacognition Learn. 1(1), 3–14 (2006)

    Article  Google Scholar 

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

    MATH  Google Scholar 

  3. Flavell, J.: Metacognition and cognitive monitoring: a new area of cognitive-developmental inquiry. Am. Psychol. 34(10), 906–911 (1979)

    Article  Google Scholar 

  4. Brown, A.L.: Metacognition, executive control, self-regulation and other mysterious mechanisms. In: Weinert, F., Kluwe, R. (eds.) Metacognition, Motivation and Understanding, pp. 65–115. Lawrence Erlbaum, Hillsdale, NJ (1987)

    Google Scholar 

  5. Hadwin, A.F., Järvelä, S., Miller, M.: Self-regulated, co-regulated, and socially shared regulation of learning. In: Zimmerman, B.J., Schunk, D.H. (eds.) Handbook of Self-Regulation of Learning and Performance, pp. 65–84. Routledge, New York (2011)

    Google Scholar 

  6. Järvelä, S., Hadwin, A.F.: New frontiers: Regulating learning in CSCL. Educ. Psychol. 48(1), 25–39 (2013)

    Article  Google Scholar 

  7. Hadwin, A.F., Oshige, M.: Self-regulation, co-regulation, and socially shared regulation: Exploring perspectives of social in self-regulated learning theory. Teachers Coll. Rec. 113(2), 240–264 (2011)

    Google Scholar 

  8. Iiskala, T., Vauras, M., Lehtinen, E., Salonen, P.: Socially-shared metacognition within primary school pupil dyad’s collaborative processes. Learn. Instr. 21(3), 379–393 (2011)

    Article  Google Scholar 

  9. DiDonato, N.C.: Effective self- and co-regulation in collaborative learning groups: An analysis of how students regulate problem solving of authentic interdisciplinary tasks. Instr. Sci. 41(1), 25–47 (2013)

    Article  Google Scholar 

  10. Winne, P.H., Hadwin, A.F., Perry, N.E.: Metacognition and computer-supported collaborative learning. In: Hmelo-Silver, C., Chinn, C., Chan, C.K.K., O’Donnell, A. (eds.) The International Handbook of Collaborative Learning, pp. 462–478. Taylor & Francis, New York (2013)

    Google Scholar 

  11. Moss, J., Beatty, R.: Knowledge building in mathematics: Supporting collaborative learning in pattern problems. Int. J. Comput. Support. Collaborative Learn. 1(4), 413–440 (2006)

    Article  Google Scholar 

  12. Chiu, M.M., Kuo, S.W.: From metacognition to social metacognition: Similarities, differences, and learning. J. Educ. Res. 3(4), 1–19 (2009)

    Google Scholar 

  13. Howard, B.C., McGee, S., Shia, R., Hong, N.S.: Metacognitive self-regulation and problem solving. Expanding the theory base through factor analysis. Paper presented at the Annual Meeting of the American Educational Research Association, New Orleans, LA (2000)

    Google Scholar 

  14. Volet, S.E.: A Manual for the Use of Students’ Appraisals of Group Assessment (SAGA). School of Education, Murdoch University, Murdoch, WA (1998)

    Google Scholar 

  15. Järvelä, S., Häkkinen, P.: Web-based cases in teaching and learning—the quality of discussions and a stage of perspective taking in asynchronous communication. Interact. Learn. Environ. 10(1), 1–22 (2002)

    Article  Google Scholar 

  16. Greeno, J.G.: Hobbits and orcs: acquisition of a sequential concept. Cogn. Psychol. 6(2), 270–292 (1974)

    Article  Google Scholar 

  17. Miyake, N.: Making internal process external for constructive collaboration. In: Proceedings of Humanizing the Information Age, 2nd International Conference on Cognitive Technology, pp. 119–123. IEEE Computer Society, Aizu-Wakamatsu City (1997)

    Google Scholar 

  18. Björklund, J., Lehto, S., Pasanen, S., Viljanen, M.: Sukkia ja muuta matematiikkaa: Monipuolisuutta matematiikkaan [Socks and Mathematics: Versatility in Mathematics Learning, in Finnish] MFKA, Helsinki (2002)

    Google Scholar 

  19. Oster, G.: Problem Book: Mieletön matikka. [Problem Book: Creative Problems in Mathematics. In Finnish.] WSOY, Helsinki (2002)

    Google Scholar 

  20. Järvelä, S., Järvenoja, H., Näykki, P.: Analyzing regulation of motivation as an individual and social process—a situated approach. In: Vauras, M., Volet, S. (eds.) Interpersonal Regulation of Learning and Motivation: Methodological Advances, pp. 170–187 EARLI series: New Perspectives on Learning and Instruction, Routledge (2013)

    Google Scholar 

  21. Cohen, J.: A coefficient of agreement for nominal scales. Educ. Psychol. Measur. 20, 37–46 (1960)

    Article  Google Scholar 

  22. Artzt, A.F., Armour-Thomas, E.: Development of cognitive-metacognitive framework for protocol analysis of mathematical problem solving in small groups. Cognition Instr. 9(2), 137–175 (1992)

    Article  Google Scholar 

  23. Parker, M., Leinhardt, G.: Percent: a privileged proportion. Review of Educational Research. 65(4), 421–481 (1995)

    Article  Google Scholar 

  24. Goos, M., Gailbraith, P., Renshaw, P.: Socially mediated metacognition: creating collaborative zones of proximal development in small group problem solving. Educ. Stud. Math. 49(2), 193–223 (2002)

    Article  Google Scholar 

  25. Kieran, K.: The mathematical discourse of 13-year-old partnered problem solving and its relation to the mathematics that emerge. Educ. Stud. Math. 46(1–3), 187–228 (2001)

    Article  Google Scholar 

  26. Barron, B.: When smart groups fail. J. Learn. Sci. 12(3), 307–359 (2003)

    Article  MathSciNet  Google Scholar 

  27. Tindale, R., Kameda, T.: Social sharedness’ as an unifying theme for information processing in groups. Group Processes Intergroup Relat. 3(2), 123–140 (2000)

    Article  Google Scholar 

  28. Khosa, D. K., Volet, S.: Productive group engagement in cognitive activity and metacognitive regulation during collaborative learning: can it explain differences in students’ conceptual understanding? Metacognition and Learning, Springer, Heidelberg. (2014). doi:10.1007/s11409-014-9117-z

  29. Dewey, J.: How we think. D.C. Heath & Company, Boston (1910)

    Book  Google Scholar 

  30. Saab, N., Van Joolingen, W.R., Van Hout-Wolters, B.: Support of the collaborative inquiry learning process: influence of support on task and team regulation. Metacognition Learn. 7(1), 7–23 (2012)

    Google Scholar 

  31. Fransen, J., Kirschner, P.A., Erkens, G.: Mediating team effectiveness in the context of collaborative learning: The importance of team and task awareness. Comput. Hum. Behav. 27(3), 1103–1113 (2011)

    Article  Google Scholar 

  32. Webb, N.M., Nemer, K.M., Ing, M.: Small-group reflections: parallels between teacher discourse and student behavior in peer-directed groups. J. Learn. Sci. 15(1), 63–119 (2006)

    Article  Google Scholar 

  33. Shavelson, R.J., Webb, N.M., Stasz, C., McArthur, D.: Teaching mathematical problem solving: Insights from teachers and tutors. In: Charles, R., Silver, E. (eds.) Teaching and Assessing Mathematical Problem-Solving: A Research Agenda, pp. 203–231. Lawrence Erlbaum, Hillsdale, NJ (1988)

    Google Scholar 

  34. Malmberg, J., Järvelä, S., Kirschner, P.A.: Elementary school students’ strategic learning: Does task-type matter? Metacognition and learning, (2013). doi:10.1007/s11409-013-9108-5

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Acknowledgments

This study was funded in part by Academy of Finland/ADDRESS (127640) Adaptive Motivation Regulation in Individual and Socially Shared Learning Situations, and by the Grant of Finnish Cultural Foundation (first author).

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Correspondence to Tarja-Riitta Hurme .

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Hurme, TR., Järvelä, S., Merenluoto, K., Salonen, P. (2015). What Makes Metacognition as Socially Shared in Mathematical Problem Solving?. In: Peña-Ayala, A. (eds) Metacognition: Fundaments, Applications, and Trends. Intelligent Systems Reference Library, vol 76. Springer, Cham. https://doi.org/10.1007/978-3-319-11062-2_10

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  • DOI: https://doi.org/10.1007/978-3-319-11062-2_10

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