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Teacher education students’ number sense: initial explorations

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Abstract

Use of number sense can assist learners in their understanding of, and calculating in, mathematics. This paper reports on these aspects which were investigated with six primary pre-service teacher education students at the commencement of a semester unit in mathematics education. Various mathematical examples were completed by each student in individual sessions which suggested that the students had at least a limited development of number sense.

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References

  • Ball, D. (1990). The mathematical understandings that prospective teachers bring to teacher education.Elementary School Journal, 90(4), 449–466.

    Article  Google Scholar 

  • Carpenter, T. (1989). Number sense and other nonsense. In J. Sowder & B. Schappelle (Eds.),Establishing foundations for research on number sense and related topics: Report of a Conference (pp. 89–91). San Diego, CA: San Diego State University.

    Google Scholar 

  • Cockcroft, W. (Chairperson). (1982).Mathematics counts. London: Her Majesty’s Stationery Office.

    Google Scholar 

  • Greenes, C. (1993). Developing sense about numbers.Arithmetic Teacher, 40(5), 279–284.

    Google Scholar 

  • Greeno, J. (1991). Number sense as situated knowing in a conceptual domain.Journal for Research in Mathematics Education, 22(3), 170–218.

    Article  Google Scholar 

  • Hope, J. (1989). Promoting number sense in school.Arithmetic Teacher, 36(6), 12–17.

    Google Scholar 

  • Howden, H. (1989). Teaching Number Sense. Arithmetic Teacher, 36(6), 6–11.

    Google Scholar 

  • Mclntosh, A. (1992). A proposed framework for examining basic number sense.For the Learning of Mathematics, 12(3), 2–8.

    Google Scholar 

  • National Council of Teachers of Mathematics. (1989).Curriculum and evaluation standards for school mathematics. Reston, VA: Author.

    Google Scholar 

  • Resnick, L. (1983). A developmental theory of number understanding. In H. Ginsburg (Ed.),The development of mathematical thinking (pp. 109–151). Orlando, FL: Academic Press.

    Google Scholar 

  • Reys, B. (1989). Conference on number sense: Reflections. In J. Sowder & B. Schapelle (Eds.),Establishing foundations for research on number sense and related topics: Report of a conference. San Diego, CA: San Diego State University.

    Google Scholar 

  • Reys, B. (1991). Developing number sense in the middle grades.Addenda Series 5–8. Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • Schoenfeld, A. (1989). Teaching mathematical thinking and problem solving. In L. B. Resnick & B. L. Klopfer (Eds.),Toward the thinking curriculum: Current cognitive research (pp. 83- 103). Washington, DC: American Society for Curriculum Development.

    Google Scholar 

  • Simon, M. (1992, April).Learning mathematics and learning to teach: Learning cycles in mathematics teacher education. Paper presented at the annual meeting of the American Educational research Association, San Francisco.

  • Simon, M. (1994). Learning mathematics and learning to teach: Learning cycles in mathematics teacher education.Education Studies in Mathematics, 26(1), 71–94.

    Article  Google Scholar 

  • Sowder, J. (1989). Introduction. In J. Sowder & B. Schappelle (Eds.),Establishing foundations for research on number sense and related topics: Report of a conference (pp. 1–5). San Diego, CA: San Diego State University.

    Google Scholar 

  • Sowder, J. (1990). Mental computation and number sense.Arithmetic Teacher, 37(7), 18–20.

    Google Scholar 

  • Sowder, J. (1991).Teaching computation in ways that promote member sense. Paper presented at the conference on Challenging Children to Think When They Compute: Developing Number Sense, Mental Computation and Computational Estimation. Brisbane: Queensland University of Technology.

    Google Scholar 

  • Svensson, L. (1977). On qualitative differences in learning: III—Study skill and learning.British Journal of Educational Psychology, 47, 233–243.

    Article  Google Scholar 

  • Tirosh, D., & Graeber, A. (1990). Inconsistencies in pre-service elementary teachers’ beliefs about multiplication and division.Focus on Learning Problems in Mathematics, 12(3), 65–74.

    Google Scholar 

  • Trafton, P. (1989). Reflections on the number sense conference. In J. Sowder & B. Schappelle (Eds.),Establishing foundations for research on number sense and related topics: Report on a conference (pp. 74–77). San Diego, CA: San Diego State University.

    Google Scholar 

  • Trafton, P. (1991).Using number sense to develop mental computation and computational estimation. Paper presented at the conference on Challenging Children to Think When They Compute: Developing Number Sense, Mental Computation and Computational Estimation. Brisbane: Queensland University of Technology.

    Google Scholar 

  • Turkel, S., & Newman, C. (1988). What’s your number? Developing number sense.Arithmetic Teacher, 36(6), 53–55.

    Google Scholar 

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Kaminski, E. Teacher education students’ number sense: initial explorations. Math Ed Res J 9, 225–235 (1997). https://doi.org/10.1007/BF03217312

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