Abstract
Videotaping small groups of students in a regular classroom environment makes it possible to study individual student cognitive growth in a social setting. The present report deals with student development of some new mathematical ideas over an extended period of time.
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Davis, R. B. (1984).Learning Mathematics: The Cognitive Science Approach to Mathematics Education Ablex Publishing Corporation, New Jersey.
Davis, R. B. (1987). Theory and practice.Journal of Mathematical Behavior 6(1): 97–126.
Davis, R. B., and Maher, C. A. (1990). What do we do when we do mathematics? In Davis, R. B., Maher, C. A., and Noddings, N. (Eds.),Journal for Research in Mathematics Education Monograph No. 4: Constructivist Views on the Teaching and Learning of Mathematics National Council of Teachers of Mathematics, Virginia, pp. 65–78.
Davis, R. B., Maher, C. A., and Noddings, N. (Eds.). (1990).Journal for Research in Mathematics Education Monograph No. 4: Constructivist Views on the Teaching and Learning of Mathematics National Council of Teachers of Mathematics, Virginia.
Johnson, D. W., and Johnson, R. T. (1991).Learning Together and Alone Prentice Hall, Englewood Cliffs, New Jersey.
Maher, C. A., Martino, A. M., and Davis, R. B. (1992a). What happens during cooperative learning? (in preparation).
Maher, C. A., Davis, R. B., and Alston, A. (1992b). Implementing a “thinking curriculum” in mathematics.Journal of Mathematical Behavior 10(3): 000–000.
Maher, C. A., Davis, R. B., and Alston, A. (1991). Brian's representation and development of mathematical knowledge: A four year study.Journal of Mathematical Behavior 10(2): 163–210.
Maher, C. A., and Martino, A. M. (1991). The construction of mathematical knowledge by individual children working in groups. In F. Furinghetti (Ed.),Proceedings of the Fifteenth Annual Conference of the International Group for the Psychology of Mathematics Education, Italy, pp. 365–372.
Maher, C. A., and Davis, R. B. (1990). Building representations of children's meanings. In Davis, R. B., Maher, C. A., and Noddings, N. (Eds.),Journal for Research in Mathematics Education Monograph No. 4: Constructivist Views on the Teaching and Learning of Mathematics National Council of Teachers of Mathematics, Virginia, pp. 147–165.
Maher, C. A., and Martino A. M. (1992). Teachers building on student's learning.The Arithmetic Teacher National Council of Teachers of Mathematics, Virginia.
NCTM (National Council of Teachers of Mathematics). (1989).Curriculum and Evaluation Standards for School Mathematics National Council of Teachers of Mathematics, Virginia.
Papert, S. (1980).Mindstorms: Children, Computers, and Powerful Ideas Basic Books, New York.
Schoenfeld, A. H. (1992). On paradigms and methods: What do you do when the ones you know don't do what you want them to?Journal of the Learning Sciences (in press).
Schoenfeld, A. H., Smith, J. P., III, and Arcavi, A. (1992). Learning: A microgenetic analysis of one student's evolving understanding of a complex subject matter domain. In Glazer, S. R. (Ed.),Advances in Instructional Psychology, Vol. 4, Lawrence Erlbaum, New Jersey (in press).
Vygotsky, L. S. (1978).Mind in Society: The Development of Higher Psychological Processes Harvard University Press, Cambridge, Massachusetts.
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Davis, R.B., Maher, C.A. & Martino, A.M. Using videotapes to study the construction of mathematical knowledge by individual children working in groups. J Sci Educ Technol 1, 177–189 (1992). https://doi.org/10.1007/BF00701362
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DOI: https://doi.org/10.1007/BF00701362