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Encyclopedia of Mathematics Education pp 496–501Cite as

Problem Solving in Mathematics Education

Introduction

The core and essence of a problem solving approach to learn mathematics is summarized in the following quotation: Problem solving is a lifetime activity. Experiences in problem solving are always at hand. All other activities are subordinate. Thus, the teaching of problem solving should be continuous. Discussion of problems, proposed solutions, methods of attacking problems, etc. should be considered at all times (Krulik and Rudnick 1993, p. 9).

Characteristics

What Does Mathematical Problem Solving Involve?

Mathematical problem solving is a research and practice domain in mathematics education that fosters an inquisitive approach to develop and comprehend mathematical knowledge Santos-Trigo 2007. As a research domain, the problem-solving agenda includes analyzing cognitive, social, and affective components that influence and shape the learners’ development of problem-solving proficiency. As an instructional approach, the agenda includes the design and implementation of...

Keywords

  • Problem solving
  • Inquiring approach
  • Modeling activities
  • Representations
  • Curriculum
  • Digital technology

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Author information

Authors and Affiliations

  1. Center for Research and Advanced Studies, Department of Mathematics Education, Cinvestav-IPN, Av. IPN 2508, 07360, San Pedro Zacateno, Mexico D.F., Mexico

    Manuel Santos-Trigo

Authors
  1. Manuel Santos-Trigo
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Correspondence to Manuel Santos-Trigo .

Editor information

Editors and Affiliations

  1. Department of Education, Centre for Mathematics Education, London South Bank University, London, UK

    Stephen Lerman

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Santos-Trigo, M. (2014). Problem Solving in Mathematics Education. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4978-8_129

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