Technology and the History of Mathematics
for ICTCM
November 6, 1999 2:00-2:45 pm
Martin Flashman
Department of Mathematics
Humboldt State University
flashman@axe.humboldt.edu
http://flashman.neocities.org
Abstract: The author will present examples demonstrating
how technology can be used to enhance a course in the history of mathematics.
General Comments.
-
As in most applications of technology, it is concepts
that drive the
technology.
-
The history of mathematics considers in the development of
mathematics :
-
individuals who create and present
mathematics
-
political, sociological and educational
contexts where mathematics is sustained and grows
-
concepts of mathematics as they
are understood today and especially
as they might have been understood
by people when they were developed.
-
Technology provides
a variety of general tools for education.
These tools are useful in the study
of history by making information easier to
-
access - using
the WWW;
-
organize - using
image, presentation, and word processors;and
-
comprehend - using
computational and visual tools to deconstruct
and reconstruct
[historical] results and arguments.
Examples of Accessing
Information
Web resources for biographies and
personal information.
Web resources for content historical
development.
Web resources for primary resources.
Euclid
Stevin
Abbott
Examples of Organizing Information
Lectures linked to resources.
Cardano's
Solution of a Cubic (from Smith's Source Book).
Oresme's discussion of visualizing motion and acceleration.
Student presentation. The
Archimedes project.
Examples of Comprehending Information
- Technology applications that enrich understanding and make
historical arguments and computations accessible and lively. Examples
-
Using Excel to make arithmetical computations accessible.
-
Napier's Tables of Logarithms
-
Using Geometers' Sketchpad to make geometrical arguments
accessible.
-
Cardano's
(java made with GSP) solution of a cubic.
-
Gregoire de Saint-Vincent's Areas under a hyperbola.
-
Barrow's Theorem.
-
Combining resources to demonstrate interaction of numerical
with geometrical.