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Location:
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SS Ballroom DE |
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Date:
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Wednesday, Aug.3 |
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Time:
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2:00 PM -2:30 PM
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Author:
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Michael Oehrtman, University of Northern Colorado
970-351-2344, michael.oehrtman@unco.edu
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Co-Author(s):
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None
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Abstract:
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Subtitle: Confessions of a Mathematician.
In this talk I present findings from my design research using numerical methods and error analyses to establish a strong conceptual foundation for an introductory calculus and differential equations sequence. I will intersperse this discussion with reflections on my own experiences as a student of both mathematics and physics, as a mathematics faculty, and as an education researcher that led me to this approach. I will present results indicating that properly developed, an applied approach to calculus and differential equations can 1) be based on natural language and ideas directly accessible to students, 2) provide a coherent approach to the range of topics covered in the entire sequence, 3) be coherent in meaning and structure across multiple representations, and 4) establish a foundation for subsequent formal mathematical development. A natural hypothesis is that such an approach should also support modeling in science and engineering.
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Footnotes:
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Sponsored by John Thompson.
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