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Book Reviews

The dialogical roots of deduction: historical, cognitive, and philosophical perspectives on reasoning

by Catarina Dutilh Novaes, Cambridge, UK, Cambridge University Press, 2020, 290 pp., $99.99 (hardback), ISBN:9781108479882

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References

  • Alcock, L., Hodds, M., Roy, S., & Inglis, M. (2015). Investigating and improving undergraduate proof comprehension. Notices of the American Mathematical Society, 62, 742–752. doi:10.1090/noti1263
  • Alibert, D., & Thomas, M. (1991). Research on mathematical proof. In D. Tall (Ed.), Advanced mathematical thinking (pp. 215–230). New York, NY: Kluwer. doi:10.1007/0-306-47203-1_13
  • Cohen, M. R., & Nagel, E. (1934). An introduction to logic and scientific method. London, UK: Routledge and Kegan.
  • Dutilh Novaes, C. (2021). The dialogical roots of deduction: Historical, cognitive and philosophical perspectives on reasoning. Cambridge, UK: Cambridge University Press.
  • Evans, J. S. B. T. (2002). Logic and human reasoning: An assessment of the deduction paradigm. Psychological Bulletin, 128, 978–996. doi:10.1037/0033-2909.128.6.978
  • Hintikka, J. (1973). Logic, language-games and information: Kantian themes in the philosophy of logic. Oxford, UK: Clarendon Press.
  • Hodds, M., Alcock, L., & Inglis, M. (2014). Self-explanation training improves proof comprehension. Journal for Research in Mathematics Education, 45, 62–101. doi:10.5951/jresematheduc.45.1.0062
  • Inglis, M. & Attridge, N. (2016). Does mathematical study develop logical thinking? Testing the theory of Formal discipline. London, UK: World Scientific. doi:10.1142/q0020
  • Inglis, M. & Simpson, A. (2004). Mathematicians and the selection task. In M. Johnsen Hoines & A.B. Fuglestad (Eds.), Proceedings of the 28th conference of the international group for the psychology of mathematics education (Vol. 3, pp. 89–96). Bergen, Norway.
  • Jones, F. (1977). The Moore method. American Mathematical Monthly, 84, 273–278. doi:10.1080/00029890.1977.11994333
  • Kirschner, P., Sweller, J., & Clark, R. (2006). Why minimal guidance during instruction does not work: An analysis of the failure of constructivist, discovery problem-based experiential, and inquiry-based teaching. Educational Psychologist, 41, 75–86. doi:10.1207/s15326985ep4102_1
  • Lakatos, I. (1976). Proofs and refutations: The logic of mathematical discovery. Cambridge, UK: Cambridge University Press. doi:10.1017/CBO9781139171472
  • Mason, J., Burton, L., & Stacey, K. (1982). Thinking mathematically. London, UK: Addison Wesley.
  • Moshman, D., & Geil, M. (1998). Collaborative reasoning: Evidence for collective rationality. Thinking and Reasoning, 4, 231–248. doi:10.1080/135467898394148
  • Shapiro, L. (2015). Varieties of logic. New York, NY: Oxford University Press.
  • Wason, P. C. (1968). Reasoning about a rule. Quarterly Journal of Experimental Psychology, 20, 273–281. doi:10.1080/14640746808400161

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