Technology and Calculus

  • Wade EllisJr.


The use of computers-both desktop and handheld—has gradually changed the learning and teaching of calculus over the past decade, at least in textbooks. Calculus textbooks now routinely have graphing calculator exercises and many have computer-based exercises and projects. Few textbooks come without ancillary packages including computer test banks, computer laboratory manuals, multimedia CD-ROM-based learning aids, Web sites, and mathematical word processing software. How students learn and how professors teach calculus, however, has not changed much. Nor has much research been done on the effect these technology-related changes can have on student performance in mathematical contexts. This chapter will focus on what students and teachers might do differently in mastering calculus in a technology-rich environment and also what researchers could investigate to improve the learning and teaching environment where technology is readily available.


Student Performance Distance Learning Student Understanding Mathematics Community Advance Placement 
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  1. 1.
    W.C. Bauldry and W. Ellis, Jr., Calculus: Mathematics and Modeling ( Addison-Wesley Longman, Reading, MA, 1999 ).Google Scholar
  2. 2.
    P. Blanchard, R. L. Devaney, and G. R. Hall, Differential Equations ( Brooks/Cole, Pacific Grove, CA, 1998 ).Google Scholar
  3. 3.
    W. E. Boyce and J. Ecker, “The Computer-Oriented Calculus Course at Rensselaer Polytechnic Institute,” The College Mathematics Journal 26 (1995): 45–50.CrossRefGoogle Scholar
  4. 4.
    Computer as Electronic Blackboard: Remodeling Organic Chemistry,“ Educom Review (Spring 1991):35 (with S. L. Cassanova).Google Scholar
  5. 5.
    J.-P. Doignon and J.-C. Falmagne, Knowledge Spaces (Springer-Verlag, Berlin, 1998 ). Also available from J.-C. Falmagne, Department of Cognitive Sciences, University of California, Irviine, CA 92607.Google Scholar
  6. 6.
    H. Gardner, The Minds New Science: A History of the Cognitive Revolution ( Basic Books, New York, 1985 ).Google Scholar
  7. 7.
    M. B. Hayden, Newton: An Interactive Environment for Exploring Mathematics (University of Rhode Island, 1996). Dissertation Abstracts International 57 (1997): 3434A.Google Scholar
  8. 8.
    M. K. Heid, “Resequencing Skills and Concepts in Applied Calculus Using the Computer as a Tool,” Journal for Research in Mathematics Education 19 (1988): 3–25.CrossRefGoogle Scholar
  9. 9.
    P. T. Judson, “Calculus I with Computer Algebra, ”Journal of Computers in Mathematics and Science Teaching 9 (3) (1990): 87–93.Google Scholar
  10. 10.
    A. W. Roberts, Calculus: The Dynamics of Change ( Mathematical Association of America, Washington, DC, 1996 ).Google Scholar

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© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Wade EllisJr.

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