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Book Reviews

The psychology of mathematics: A journey of personal mathematical empowerment for educators and curious minds

by Anderson Norton, Routledge, 9781032020693

References

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  • De Toffoli, S. (2021). Reconciling rigor and intuition. Erkenntnis, 86(6), 1783–1802. doi:10.1007/s10670-020-00280-x
  • Dubinsky, E., Dautermann, J., Leron, U., & Zazkis, R. (1994). On learning fundamental concepts of group theory. Educational Studies in Mathematics, 27(3), 267–305. doi:10.1007/BF01273732
  • Dutilh Novaes, C. (2021). The dialogical roots of deduction: Historical, cognitive and philosophical perspectives on reasoning. Cambridge University Press.
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  • Hanna, G., & Yan, X. (2021). Opening a discussion on teaching proof with automated theorem provers. For the Learning of Mathematics, 41(3), 42–46.
  • Lakoff, G., & Núñez, R. (2000). Where mathematics comes from. Basic Books.
  • Manders, K. (2008). The Euclidean Diagram. In P. Mancoscu (Ed.), Philosophy of mathematical practice (pp. 80–133). Oxford University Press.
  • Mumma, J. (2010). Proofs, pictures, and Euclid. Synthese, 175(2), 255–287. doi:10.1007/s11229-009-9509-9
  • Norton, A., & Wilkins, J. L. (2009). A quantitative analysis of children’s splitting operations and fraction schemes. The Journal of Mathematical Behavior, 28(2-3), 150–161. doi:10.1016/j.jmathb.2009.06.002
  • Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge University Press.

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