A procedural approach to explorations in calculus

Michael Yerushalmy, Judah J. Schwartz

Research output: Contribution to journalArticlepeer-review


Twostrands of calculus reform, one that stresses informal understanding of rates of changes and accumulation and the other that emphasizes formal modelling with technological support for necessary manipulations can be brought together by an approach that formulates the subject in terms of procedures that are carried out on and with functions. This approach is presented along with some examples drawn from traditional calculus material. In addition, the power of the approach to enable learners to develop intuitions into both the nature of building formal models as well as insight into the symbolic representations of function is demonstrated and discussed.

Original languageEnglish
Pages (from-to)903-914
Number of pages12
JournalInternational Journal of Mathematical Education in Science and Technology
Issue number6
StatePublished - 1999

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Education
  • Applied Mathematics


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