June 26-29, 2005
This workshop is designed for college and university teachers who are interested in using software for interactive communication and computer-generated demonstrations in their undergraduate mathematics classes. Here is a presentation highlighting several aspects of the course. Although we will concentrate on multivariable calculus as our main topic, the concepts and methods from this project can be transferred to other courses such as linear algebra, introductory differential geometry of curves and surfaces, and geometry for liberal arts students and potential elementary and secondary school teachers. No prior knowledge of computer programming is necessary for students to use our software, and none will be assumed for the participants in the workshop.
Participants completing the workshop will:
The workshop will meet for two sessions each morning and two each
afternoon on Monday and Tuesday, with two final sessions on Wednesday
morning. Each session will feature a presentation by the workshop
organizer, followed by opportunities to work online with the concepts,
aided by student assistants. In each case, this will be followed by
discussion of the pedagogical aspects of the topic at hand.
At St. Louis University, Professor Michael May has created localized implementations of Professor Banchoff's visualization applet.
Professor May's Applets for Multivariable Calculus, which include Applet Worksheets written by Dr. Steve Harris, are fine examples of how this software can be customized for specialized lessons:
Prior to attending the workshop, the participants will have the
opportunity to complete a short tutorial (provided by the presenters) on
the use of the Java applets for the course. During the workshop,
participants will complete "exercises", submit them online, and receive
comments, following the procedure used in an undergraduate class. This
experience will form the basis of discussion on the mechanical and
pedagogical aspects of this particular Internet-based approach to teaching
The webpage for the workshop will continue to be available to the participants after the workshop, for further discussion and for further sharing of materials for multivariable calculus.
Click the image above to try interactive Java applets