The Goals of the Calculus Course

  • William McCallum


It has been more than a decade since the beginning of efforts to renew calculus teaching in this country. Those efforts, successful beyond the wildest dreams of their initiators, have reached a plateau. The reaction has been at times intemperate and at times thoughtful, and has led to serious efforts to reinvigorate the traditional curriculum (see How to Teach Mathematics 1 and its appendixes).


Conceptual Understanding Extended Problem Traditional Curriculum Exam Question Solve Word Problem 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. G. Krantz, How to Teach Mathematics, 2nd ed. ( American Mathematical Society, Providence, 1999 ).Google Scholar
  2. 2.
    R. G. Douglas (ed.), Toward a Lean and Lively Calculus, MAA Notes #6 (Mathematical Association of America, Washington, DC, 1986 ).Google Scholar
  3. 3.
    L. A. Steen (ed.), Calculus for a New Century: A Pump, not a Filter, MAA Notes #8 ( Mathematical Association of America, Washington, DC, 1988 ).Google Scholar
  4. 4.
    W. G. McCallum, “Will This Be on the Exam?” In Ref. 1.Google Scholar
  5. 5.
    Third International Mathematics and Science Study, Scholar
  6. 6.
    P. Renz, “Style Versus Content: Forces Shaping the Evolution of Textbooks,” pp. 85–102 in Ref. 2.Google Scholar
  7. 7.
    W. G. McCallum, “Rigor in the Undergraduate Calculus Curriculum,” Notices of the American Mathematical Society 38 (9) (1991): 1131–1132.Google Scholar
  8. 8.
    D. Smith and L. Moore, Calculus: Modeling and Application ( Heath, Boston, 1996 ).Google Scholar
  9. 9.
    J. Uhl, W. Davis, and H. Porta, Calculus & Mathematica: ( Addison—Wesley, Reading, MA, 1994 ).Google Scholar
  10. 10.
    H. Bass, “Mathematicians as Educators,” Notices of the American Mathematical Society 44 (1) (1997): 18–21.Google Scholar

Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • William McCallum

There are no affiliations available

Personalised recommendations