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

  • Eric L. MannEmail author
  • Scott A. Chamberlin
  • Amy K. Graefe
Chapter
Part of the Advances in Mathematics Education book series (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.

Keywords

Affect Creativity Iconoclasm Mathematics Mathematical problem solving 

Notes

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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  • Eric L. Mann
    • 1
    Email author
  • Scott A. Chamberlin
    • 2
  • Amy K. Graefe
    • 3
  1. 1.Hope CollegeHollandUSA
  2. 2.University of WyomingLaramieUSA
  3. 3.University of Northern ColoradoGreeleyUSA

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