id: 05847581
dt: j
an: 2011a.00788
au: Haverhals, Nick; Roscoe, Matt
ti: The history of mathematics as a pedagogical tool: Teaching the integral of
the secant via Mercatorâ€™s projection.
so: Mont. Math. Enthus. 7, No. 2-3, 339-368 (2010).
py: 2010
pu: Information Age Publishing (IAP), Charlotte, NC; Department of Mathematical
Sciences, The University of Montana, Missoula, MT
la: EN
cc: I55 A30 M65
ut: conformal mappings; history of mathematics; integrals; Mercator projection;
rhumb lines; secant function; undergraduate mathematics education
ci:
li:
ab: Summary: This article explores the use of the history of mathematics as a
pedagogical tool for the teaching and learning of mathematics. In
particular, we draw on the mathematically pedigreed but misunderstood
development of the Mercator projection and its connection to the
integral of the secant function. We discuss the merits and the possible
pitfalls of this approach based on a teaching module with undergraduate
students. The appendices contain activities that can be implemented as
an enrichment activity in a Calculus course.
rv: