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Showing 1 to 2 of 2 for “"mathematical philosophy"”.
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The awareness and use of standards-based mathematics curriculums in secondary schools of southern New Jersey
… used mathematics curriculums. In part three, mathematical philosophy was determined from responses to Likert scale questions. An analysis of the survey included tallies of currently used curriculums, knowledge of standards-based mathematics programs, and a correlation of mathematical …
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Alternatives to the Calculus: Nonstandard Analysis and Smooth Infinitesimal Analysis
We attempt to clarify and evaluate what shall be called Mac Lane’s thesis—the thesis that nonstandard analysis (NSA) and smooth infinitesimal analysis (SIA) are alternatives to the standard approach to the calculus. In doing so, we outline the historical approaches to the calculus, the standard …