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A Constructivist Approach to Second Grade Mathematics

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Radical Constructivism in Mathematics Education

Part of the book series: Mathematics Education Library ((MELI,volume 7))

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References

  • Armon-Jones, C. (1986). “The Thesis of Constructionism”. In R. Harré (ed.), The Social Construction of Emotions (pp. 33–56). Oxford: Blackwell.

    Google Scholar 

  • Balacheff, N. (1986). “Cognitive Versus Situational Analysis of Problem-Solving Behavior.” For the Learning of Mathematics, 6 (3), 10–12.

    Google Scholar 

  • Bateson, G. (1973). Steps To An Ecology Of Mind. London: Paladin.

    Google Scholar 

  • Bishop, A. (1985). “The Social Construction of Meaning — A Significant Develoment for Mathematics Education?” For The Learning of Mathematics, 5, (I), 24–28.

    Google Scholar 

  • Blumer, H. (1969). Symbolic Interactionism. Englewood Cliffs, NJ: Prentice-Hall.

    Google Scholar 

  • Brophy, J. (1986). “Teaching and Learning Mathematics: Where Research Should Be Going.” Journal for Research in Mathematics Education, 17, 323–346.

    Google Scholar 

  • Carpenter, T.P. (1983). “Epistemology and Research in Mathematics Education: A Reaction”. In J.C. Bergeron & N. Herscovics (eds.), Proceedings of the Fifth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Montreal: PME-NA.

    Google Scholar 

  • Cobb, P. (1986). “Concrete Can Be Abstract: A Case Study.” Educational Studies in Mathematics, 17, 37–48.

    Article  Google Scholar 

  • Confrey, J. (1987, July). The Current State of Constructivist Thought in Mathematics Education. Paper presented at the annual meeting of the International Group for the Psychology of Mathematics Education, Montreal.

    Google Scholar 

  • Davydov, V.V. (1975). “The Psychological Characteristics of the “Prenumerical” Period of Mathematics Instruction.” In L.P. Steffe (ed.), Soviet Studies in the Psychology of Learning and Teaching Mathematics (Vol. 7, pp. 109–205). Stanford, CA: School Mathematics Study Group.

    Google Scholar 

  • Erickson, F. (1986). “Qualitative Methods in Research On Teaching”. In M.C. Wittrock (ed.), The Handbook of Research on Teaching, 3rd edition. NY: MacMillan.

    Google Scholar 

  • Mehan, H. (1979). Learning Lessons: Social Organization in the Classroom. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Menchinskaya, N.A. (1969). “Fifty Years of Soviet Instructional Psychology”. In J. Kilpatrick & I. Wirszup (eds.), Soviet Studies in the Psychology of Learning and Teaching Mathematics (Vol. 1, pp. 5–27). Stanford, CA: School Mathematics Study Group.

    Google Scholar 

  • Rommetveit, R. (1985). “Language Acquisition as Increasing Linguistic Structuring of Experience and Symbolic Behavior Control.” In J.V. Wertsch (ed.), Culture, Communication, and Cognition (pp. 183–205). Cambridge: Cambridge University Press.

    Google Scholar 

  • Rumelhart, D.E. and D.A. Norman (1981). “Analogical Processes in Learning”. In J.R. Anderson (ed.), Cognitive Skills and Their Acquistion (pp. 335–359). Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Saxe, G.B., S.R. Guberman and M. Gearhart (1985, April). The Social Context of Early Number Learning. Paper presented at the annual meeting of the American Educational Research Association, Chicago.

    Google Scholar 

  • Schon, D. (1985). The Design Studio: An Exploration of Its Traditions and Potentials. London: RIBA Publications.

    Google Scholar 

  • Sigel, I.E. (1981). “Social Experience in the Development of Representational Thought: Distancing Theory.” In I.E. Sigel, D.M. Brodzinsky, and R.M. Golinkoff (eds.), New Directions in Piagetian Theory and Practice (pp. 203–217). Hillsdale, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Silver, E.A. (1985). “Research on Teaching Mathematical Problem Solving: Some Underrepresented Themes and Needed Directions.” In E.A. Silver (ed.), Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives (pp. 247–266). Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Stake, R.E. & J. Easley (1978). Case Studies in Science Education (Vol. 2). Urbana, IL: University of Illinois Center for Instructional Research and Curriculum Evaluation.

    Google Scholar 

  • Steffe, L.P., P. Cobb and E. von Glasersfeld (1988). Young Children’s Construction of Arithmetical Meanings and Strategies. NY: Springer-Verlag.

    Google Scholar 

  • Steffe, L.P., E. von Glasersfeld, J. Richards, & P. Cobb (1983). Children’s Counting Types: Philosophy, Theory, and Application. NY: Praeger Scientific.

    Google Scholar 

  • Thompson, P. (1985). “Experience, Problem Solving, and Learning Mathematics: Considerations in Developing Mathematics Curricula.” In E.A. Silver (ed.), Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives (pp. 189–236). Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Voigt, J. (1985). “Patterns and Routines in Classroom Interaction”. Recherches en Didactique des Mathematiques, 6, 69–118.

    Google Scholar 

  • von Glasersfeld, E. (1983), “Learning as a Constructive Activity.” In J.C. Bergeron & N. Herscovics (eds.), Proceedings of the Fifth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 41–69). Montreal: PME-NA.

    Google Scholar 

  • Wood, T., P. Cobb, & E. Yackel (1988, April). The Influence of Change in Teacher’s Beliefs About Mathematics Instruction on Reading Instruction. Annual meeting of the American Educational Research Association, New Orleans.

    Google Scholar 

  • Wood, T. & E. Yackel (1988, July). Teacher’s Role in the Development of Collaborative Dialogue Within Small Group Interactions. Paper presented to the Sixth International Congress on Mathematical Education, Budapest.

    Google Scholar 

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© 1991 Kluwer Academic Publishers

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Cobb, P., Wood, T., Yackel, E. (1991). A Constructivist Approach to Second Grade Mathematics. In: Von Glasersfeld, E. (eds) Radical Constructivism in Mathematics Education. Mathematics Education Library, vol 7. Springer, Dordrecht. https://doi.org/10.1007/0-306-47201-5_8

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  • DOI: https://doi.org/10.1007/0-306-47201-5_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-1257-4

  • Online ISBN: 978-0-306-47201-5

  • eBook Packages: Springer Book Archive

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