Internet Exposition, Visualization, and Assessment
Allen Klinger, © 1/30/2002
Abstract: for 10-13 July 2002,
Vienna International Symposium on Integrating Technology into
Mathematics Education -
Organized by Austrian Center for Didactics of Computer Algebra
in cooperation with the Institute of Mathematics at the University of Vienna.
Computer algebra systems relate to applied science in diverse ways. Yet
mathematical structures reveal underlying truths, not the physical
systems they model. Historic choices of notation constrain large
populations to relative ignorance. This paper presents ways to overcome
mathematical anxiety, indeed, instead stimulate active learning. The
method is technology-based, depending on software (markup languages) and
hardware (computer networks). The paper presents a many year set of
experiences in preparing material and applying them in classes,
individual directed studies, and for interaction with professionals
(presentations, informal discussions). The conclusion concerns both
quantitative and anecdotal evaluation of learning accomplished. The
paper makes a case for the applicability of novel assessment strategies
in technology-based delivery of mathematical knowledge (e.g., via
distance learning forms of programmed instruction).