id: 02360927
dt: j
an: 2005d.01743
au: Harman, Chris
ti: Reform calculus - yesterday, today, and tomorrow.
so: N. Z. J. Math. 32, Suppl., 89-95 (2003).
py: 2003
pu: University of Auckland, Department of Mathematics, Auckland; New Zealand
Mathematical Society, Auckland
la: EN
cc: I15
ut:
ci:
li:
ab: Reform movements in mathematics have been with us for almost as long as
civilisation itself. The parody of Heraclitus (circa 500 BC) "the only
thing that remains constant is change itself", reminds us that the ways
we do and teach mathematics will continue to be reformed. It is
crucial, and probably inevitable, that this reform will lead us
forwards, not backwards. The current calculus reform ideas are a
response to the profound influences of computing technology in the
mathematical toolkit of mathematicians, scientists, technologists,
teachers, and students. Along with other reforms, calculus reform
enables us to do mathematics differently with subsequent changes in the
pedagogy of the way mathematics is learned. In this paper, an attempt
is made to view the current state of calculus reform as the outcome of
a long history of the development of mathematical concepts,
technologies, clever ideas, and smart teaching methods. The historical
development of algebraic techniques has had a major influence on these
changes, and the way we model and solve problems in the future will
require ongoing developments in algebraic structures and the way we do
algebra. We may yet see more powerful icon-based algebras. Some
forecasts are made in this direction. (Authorâ€™s abstract)
rv: