Abstract
The Very Idea Of “Mathematical Practice” Implies, Beyond The Transparent Social Turn In Philosophy, Pedagogy, And Didactics Of Mathematics, A Theory Of Mind. Theories Of Mind May Be The Informal Folk Theories Of Our Everyday Lives Or The More Formal Theories Of Professional Students Of Mind. My Conjecture Is That Folk Theories Of Mind Are At Present Still More Influential In The Work Of Students Of Mathematics And The Mathematics Classroom Than Are Professional Theories. The Problem Is That Whichever Theory Prevails In Any Given Setting Or Study, Or For Any Given Researcher, It Is More Likely Than Not To Locate The Mind In The Brain And In The Person. So One Question I Want To Pose Is: Which Theory Or Theories Of Mind Are Built Into Our Theories Of And Approaches To Mathematical Practice? If Turning Our Attention To Mathematical Practice As Opposed To Focusing On Questions Of Foundations Is A Turn To The Social, Perhaps We Should Be Alert To The Possibility Of A Social Turn In Our Theories Of Mind.
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Restivo, S. (2007). Theory of Mind, Social Science, and Mathematical Practice. In: van Kerkhove, B., van Bendegem, J.P. (eds) Perspectives On Mathematical Practices. Logic, Epistemology, and the Unity of Science, vol 5. Springer, Dordrecht. https://doi.org/10.1007/1-4020-5034-8_4
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