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Thiscollection presents significant contributions from an international network project on mathematicalcultures, including essays from leading scholars in the history and philosophyof mathematics and mathematics education.
Mathematicshas universal standards of validity. Nevertheless, there are local styles inmathematical research and teaching, and great variation in the place ofmathematics in the larger cultures that mathematical practitioners belong to.The reflections on mathematical cultures collected in this book are of interestto mathematicians, philosophers, historians, sociologists, cognitive scientistsand mathematics educators.
List of contents
Introduction.- Understanding the culturalconstruction of school mathematics.- Envisioning Transformations - The Practiceof Topology.- Creative Discomfort: The Culture of the Gelfand Seminar at MoscowUniversity.- Mathematical Culture and Mathematics Education in Hungary in theXXth Century.- On the Emergence of a New Mathematical Object: an Ethnography ofa Duality Transform.- What are we like... .- Mathematics as a socialdifferentiating factor: men of letters, politicians and engineers in Brazil throughthe Nineteenth Century.- "The End of Proof"? The integration of differentmathematical cultures as experimental mathematics comes of age.- Diversity inProof Appraisal.- What would the mathematics curriculum look like if instead ofconcepts and techniques, values were the focus? .- Mathematics and Values.- Purityas a Value in the German-speaking area.- Values in Caring for Proof.- Anempirical approach to the mathematical values of problem choice andargumentation.- The Notion of Fitas a Mathematical Value.- Mathematical Pull.-Mathematics and First Nations in Western Canada: from cultural destruction to are-awakening of mathematical reflections.- Remunerative Combinatorics:Mathematicians and their Sponsors in the Mid-Twentieth Century.- Calling aSpade a Spade: Mathematics in the New Pattern of Division of Labour.- Mathematicsand mathematical cultures in fiction: the case of Catherine Shaw.- Morality andMathematics.- The Great Gibberish - Mathematics in Western Popular Culture.- IsMathematics an issue of general education?.
Summary
This
collection presents significant contributions from an international network project on mathematical
cultures, including essays from leading scholars in the history and philosophy
of mathematics and mathematics education.
Mathematics
has universal standards of validity. Nevertheless, there are local styles in
mathematical research and teaching, and great variation in the place of
mathematics in the larger cultures that mathematical practitioners belong to.
The reflections on mathematical cultures collected in this book are of interest
to mathematicians, philosophers, historians, sociologists, cognitive scientists
and mathematics educators.
