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Creativity and Giftedness pp 57–73Cite as

The Prominence of Affect in Creativity: Expanding the Conception of Creativity in Mathematical Problem Solving

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Part of the book series: Advances in Mathematics Education ((AME))

Abstract

Constructs such as fluency, flexibility, originality, and elaboration have been accepted as integral components of creativity. In this chapter, the authors discuss affect (Leder GC, Pehkonen E, Törner G (eds), Beliefs: a hidden variable in mathematics education? Kluwer Academic Publishers, Dordrecht, 2002; McLeod DB, J Res Math Educ 25:637–647, 1994; McLeod DB, Adams VM, Affect and mathematical problem solving: a new perspective. Springer, New York, 1989) as it relates to the production of creative outcomes in mathematical problem solving episodes. The saliency of affect in creativity cannot be underestimated, as problem solvers require an appropriate state of mind in order to be maximally productive in creative endeavors. Attention is invested in commonly accepted sub-constructs of affect such as anxiety, aspiration(s), attitude, interest, and locus of control, self-efficacy, self-esteem, and value (Anderson LW, Bourke SF, Assessing affective characteristics in the schools. Lawrence Erlbaum Associates, Mahwah, 2000). A new sub-construct of creativity that is germane and instrumental to the production of creative outcomes is called iconoclasm and it is discussed in the context of mathematical problem solving episodes.

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Notes

  1. 1.

    http://www.claymath.org/millenium-problems/riemann-hypothesis

  2. 2.

    Chamberlin and Mann 2014.

  3. 3.

    Euler’s sum of power conjecture stood for almost 200 years before a short paper (two sentences) was published in the Bulletin of the American Mathematical Society disproved the theory (Lander and and Parkin 1966).

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Authors and Affiliations

  1. Hope College, Holland, Michigan, USA

    Eric L. Mann

  2. University of Wyoming, Laramie, Wyoming, USA

    Scott A. Chamberlin

  3. University of Northern Colorado, Greeley, Colorado, USA

    Amy K. Graefe

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  2. Scott A. Chamberlin
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  3. Amy K. Graefe
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Correspondence to Eric L. Mann .

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  1. Faculty of Education RANGE Center, University of Haifa, Haifa, Israel

    Roza Leikin

  2. Department of Mathematical Sciences, The University of Montana, Missoula, Montana, USA

    Bharath Sriraman

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An earlier version of this chapter was presented as a concept paper at the 8th International Conference on Creativity in Mathematics and Education of Gifted Students, Denver, Colorado. 2014.

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Mann, E.L., Chamberlin, S.A., K. Graefe, A. (2017). The Prominence of Affect in Creativity: Expanding the Conception of Creativity in Mathematical Problem Solving. In: Leikin, R., Sriraman, B. (eds) Creativity and Giftedness. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-38840-3_5

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