Publication Date

11-1-2016

Document Type

Article

Department

Mathematics and Statistics

Disciplines

Physical Sciences and Mathematics

Publication Title

For the Learning of Mathematics

Volume

36

Issue

3

First Page

25

Last Page

30

Abstract

Originating from interviews with mathematics colleagues, written accounts of mathematicians engaging with mathematics, and Wes's reflections on his own mathematical work, we describe a process that we call mathematical foresight: the imagining of a resolution to a mathematical situation and a path to that resolution. In a sense, mathematical foresight is the process of imagining a not-yet-experienced mathematical event—the solution to a problem solving scenario, or the creation of a mathematical model for a biological system, for examples that could occur in the future. This future thinking process guides the mathematician's present mathematical activity, motivates them, and bolsters persistence.

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