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Reconsidering the Textbook:

Reconsidering the Textbook:. Internet-based Alternatives. The Da Vinci Code CALCULUS TEXT. DTS Dissemination Project: GEORGIA 2006 Multivariable Calculus UGA Math Dept. Fundamentals of Geometry II, UGA College of Education. Brief History. 1968 - Hypertorus, Computer Calculus

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Reconsidering the Textbook:

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  1. Reconsidering the Textbook: Internet-based Alternatives

  2. The Da Vinci Code CALCULUS TEXT

  3. DTS Dissemination Project: GEORGIA 2006 Multivariable Calculus UGA Math Dept. Fundamentals of Geometry II, UGA College of Education

  4. Brief History • 1968 - Hypertorus, Computer Calculus • 1975 - Salvador Dali and the NSF • 1978 - Hypercube Film, ICM Helsinki • 1980 - Hypersphere Slides, Star Trek • 1984 - “Flatland” to Hypergraphics • 1991 - Beyond the Third Dimension • 1994 - Internet-Based Geometry • 2000 - Math Awareness Month • 2002 - ICM Beijing, • 2004 - DTS, A&I at UGA

  5. Overgrown Calculus Texts • Size: Over 1200 pages • Cost: Well over $120 • Aim: Treatment of all possible examples and problems. • Ancillaries: Specialized Problem Sets, CAS exercises, CAD exercises, automatic homework generation. • Linear, traditional, generic, encyclopedic, “one person’s tour of the domain”

  6. Fundamental Challenge: Responsive Choice • Text as problem source • Text as additional examples • Altering order of topics • Skipping topics • Syllabus construction • Handbook for future reference

  7. Fighting with the textbook • Notational preferences • Choice of proof(s) • Level of questions • All dimensions at once • Level of rigor • Illustration conventions • Background material

  8. Desirable Qualities • Non-linearity • Modularity • Background Access • Forward Access • Spirality • Customizability • Expandibility

  9. Features of a NewCourse • Time-Released Discussions • Timely Homeworks • Hints • In-process Dialogue • No More “I have no idea how to start” • Solution Key

  10. Lab as Metaphor 1968 - Punchcards overnight 1975 - Video Demos in Diff. Geometry 1983 - DIAL animation language 1987 - EDGE, BUDGE 1991 - VECTOR, VENOM, DGEOM 1994 - Matrix 2003 - Tensor

  11. Math 35 - Home

  12. Assignments • Semi-synchronous response • Multiple feedback

  13. Discussions • Simplified math entry • Linking to sites and images

  14. Labs • Interactive demos • Exploration of geometric phenomena

  15. Resources • Adaptable • different disciplines • different backgrounds • teacher training

  16. Tensor • Scalable • virtual recitations • interactive seminars

  17. Tensor :: Midterm Matrix

  18. Student Work: Spring 2003

  19. SPRING 02-03

  20. Student Work: ND – Fall 2001

  21. Student Work: ND Team – Fall 2001

  22. Student Work: Summer 2004

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