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2010 Summer Meeting

2011 AAPT Summer Meeting
July 30-August 3, 2011
Omaha, Nebraska

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How I Learned to Stop Worrying and Love the Applications
  Location: SS Ballroom DE
  Date: Wednesday, Aug.3
  Time: 2:00 PM -2:30 PM
  Author: Michael Oehrtman, University of Northern Colorado
  Co-Author(s): None
  Abstract: 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.
  Footnotes: Sponsored by John Thompson.
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