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book chapter · Mathematical Cognition · 2003

Mathematical Problem Solving

Richard E. Mayer

Cited by 1Abstract and details only

Abstract

Abstract Everyone can and should become proficient in mathematics. Furthermore, to become proficient in mathematics means to build several different—but intertwined—strands of mathematical proficiency (or kinds of mathematical knowledge) that can be used to solve mathematics problems. What does a person need to know to be proficient in mathematics? To answer this question, this chapter examines research on the cognitive processes involved in mathematical problem solving. I begin with an introduction that includes definitions of key terms and a summary of four cognitive processes in mathematical problem solving—translating, integrating, planning, and executing. Then, for each cognitive process, I provide examples and explore exemplary research. Finally, the chapter ends with a conclusion in which I suggest some future directions for research on the cognitive psychology of mathematical problem solving.

Cite this paper

APA 7

Mayer, R. E. (2003). Mathematical Problem Solving. Mathematical Cognition, 69–92. https://doi.org/10.1108/978-1-60752-796-120251004

MLA 9

Mayer, Richard E. “Mathematical Problem Solving.” Mathematical Cognition, 2003, pp. 69–92, https://doi.org/10.1108/978-1-60752-796-120251004.

Chicago

Mayer, Richard E. 2003. “Mathematical Problem Solving.” Mathematical Cognition: 69–92. https://doi.org/10.1108/978-1-60752-796-120251004.

Harvard

Mayer, R.E. (2003) ‘Mathematical Problem Solving’, Mathematical Cognition, pp. 69–92. Available at: https://doi.org/10.1108/978-1-60752-796-120251004.

BibTeX
@incollection{mayer2003mathematical,
  title = {{Mathematical Problem Solving}},
  author = {Mayer, Richard E.},
  booktitle = {Mathematical Cognition},
  pages = {69--92},
  year = {2003},
  doi = {10.1108/978-1-60752-796-120251004}
}

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