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Complexity in Mathematics Education

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Encyclopedia of Mathematics Education

Definition

Over the past half century, “complex systems” perspectives have risen to prominence across many academic domains in both the sciences and the humanities. Mathematics was among the originating domains of complexity research. Education has been a relative latecomer, and so perhaps not surprisingly, mathematics education researchers have been leading the way in the field.

There is no unified definition of complexity, principally because formulations emerge from the study of specific phenomena. One thus finds quite focused definitions in such fields as mathematics and software engineering, more indistinct meanings in chemistry and biology, and quite flexible interpretations in the social sciences (cf. Mitchell 2009). Because mathematics education reaches across several domains, conceptions of complexity within the field vary from the precise to the vague, depending on how and where the notion is taken up.

Diverse interpretations do collect around a few key qualities, however. In...

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References

  • Bell ET (1937) Men of mathematics: the lives and achievements of the great mathematicians from Zeno to Poincaré. Simon and Schuster, New York

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  • Davis B, Simmt E (2006) Mathematics-for-teaching: an ongoing investigation of the mathematics that teachers (need to) know. Educ Stud Math 61(3):293–319

    Article  Google Scholar 

  • English L (2006) Mathematical modeling in the primary school: children’s construction of a consumer guide. Educ Stud Math 62(3):303–329

    Article  Google Scholar 

  • Hoyles C, Noss R (2008) Next steps in implementing Kaput’s research programme. Educ Stud Math 68(2):85–94

    Article  Google Scholar 

  • Jacobson M, Wilensky U (2006) Complex systems in education: scientific and educational importance and research challenges for the learning sciences. J Learn Sci 15(1):11–34

    Article  Google Scholar 

  • Lesh R, Doerr H (eds) (2003) Beyond constructivism: models and modeling perspectives on mathematics problem solving learning and teaching. Lawrence Erlbaum Associates, Mahwah

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  • Mitchell M (2009) Complexity: a guided tour. Oxford University Press, Oxford, UK

    Google Scholar 

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Correspondence to Brent Davis .

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© 2014 Springer Science+Business Media Dordrecht

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Davis, B., Simmt, E. (2014). Complexity in Mathematics Education. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4978-8_28

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  • DOI: https://doi.org/10.1007/978-94-007-4978-8_28

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  • Publisher Name: Springer, Dordrecht

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