DOCUMENTA MATHEMATICA, Extra Volume ICM III (1998), 777-786

David A. Smith

Title: Renewal in Collegiate Mathematics Education

The content and pedagogy of college courses in mathematics and science are not well aligned with the desired outcomes of college education. This is due in part to a professoriate that is largely unaware of pedagogical ``best practice.'' Recent research on neurobiology confirms research on the psychology of learning, and both support best practice in pedagogy. The Calculus Reform Movement has developed courses that focus on student-centered learning and show that new knowledge can be translated into effective learning programs. Computer and calculator technologies offer opportunities to rethink a mathematics curriculum heavily weighted with pre-computer techniques, to create learning environments that accord with best practice, and to shift the primary focus in our courses from manipulation to thinking.

1991 Mathematics Subject Classification: 00A35

Keywords and Phrases: Calculus reform, student-centered learning, cognitive psychology, neurobiology, good practice in pedagogy, Kolb learning cycle, instructional technology

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