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High Quality Content by WIKIPEDIA articles! The cognitive science of mathematics is the study of mathematical ideas (concepts) using the techniques of cognitive science. It proposes to ground the foundations of mathematics in the empirical study of human cognition and metaphor, and to analyze mathematical ideas in terms of the human experiences, metaphors, generalizations, and other cognitive mechanisms giving rise to them. This field of study has many practical applications in mathematical education, but it's quite distinct from the work of professional mathematicians.