Encyclopedia of Mathematics Education pp 686–693 Cite as
Problem-Solving in Mathematics Education
- Manuel Santos-Trigo 2
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- First Online: 01 January 2020
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Introduction
Problem-solving approaches appear in all human endeavors. In mathematics, activities such as posing or defining problems and looking for different ways to solve them are central to the development of the discipline. In mathematics education, the systematic study of what the process of formulating and solving problems entails and the ways to structure problem-solving approaches to learn mathematics has been part of the research agenda in mathematics education. How have research and practicing problem-solving approaches changed and evolved in mathematics education, and what themes are currently investigated? Two communities have significantly contributed to the characterization and development of the research and practicing agenda in mathematical problem-solving: mathematicians who recognize that the process of formulating, representing, and solving problems is essential in the development of mathematical knowledge (Polya 1945 ; Hadamard 1945 ; Halmos 1980 ) and mathematics...
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Department of Education, Centre for Mathematics Education, London South Bank University, London, UK
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Department of Science Teaching, The Weizmann Institute of Science, Rehovot, Israel
Ruhama Even
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Santos-Trigo, M. (2020). Problem-Solving in Mathematics Education. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_129
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Problem Solving in Mathematics Education
by Peter Liljedahl, Manuel Santos-Trigo, Uldarico Malaspina, Regina Bruder
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The aim of the present paper is to present and discuss the recent progress of the. problem solving process in mathematics education. 1. Introduction. Problem - Solving (P-S) is a principal ...
Therefore, high-quality assessment of problem solving in public tests and assessments1 is essential in order to ensure the effective learning and teaching of problem solving throughout primary and secondary education. Although the focus here is on the assessment of problem solving in mathematics, many of the ideas will be directly transferable ...
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Three examples of a problem solving heuristic are presented in Table 1. The first belongs to John Dewey, who explicated a method of problem solving in How We Think (1933). The second is George Polya's, whose method is mostly associated with problem solving in mathematics. The last is a more contemporary version
problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as our field has existed. More relevant, mathematical problem solving has played a part in every ICME conference, from 1969 until the forthcoming meeting in
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2012. In Bergqvist, T (Ed) Learning Problem Solving and Learning Through Problem Solving, proceedings from the 13th ProMath conference, September 2011 (pp. 5-16). Umeå, UMERC. 5 The solving of problems and the problem of meaning The case with grade eight adolescent students Sharada Gade Umeå Mathematics Education Research Centre, Umeå University
This framework was updated in 2009 (NCTM 2000, 2009) and conceptualizes a problem-solving approach as a way of fostering mathematical reasoning and sensemaking activi- ties. Throughout the proposal, there are different examples in which reasoning and sensemaking activities are interwoven.
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S. Pratiwi D. B. Widjajanti. Mathematics, Education. Journal of Physics: Conference Series. 2020. Problem solving is one of the ability existed in the component of Realistic Mathematics Education. This ability becomes more important for a student to understand, analyse and formulate the…. Expand. 5. PDF.
the studies showing how strategies can improve mathematics problem solving, Koichu, Berman, and Moore (2004) aimed to promote heuristic literacy in a regular mathematics classroom. Moreover, Dewey's (1933) "How we think", Polya's (1988) problem-solving methods and the stages of Krulik and
Introduction. Problem-solving approaches appear in all human endeavors. In mathematics, activities such as posing or defining problems and looking for different ways to solve them are central to the development of the discipline. In mathematics education, the systematic study of what the process of formulating and solving problems entails and ...
MATERIALS AND METHOD. The aim of the study was to generate a configuration of how problem-solving is understood and researched in the mathematics education research field. Therefore, a review of empirical studies that explicitly addressed problem-solving in teacher education was conducted.
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