1. Ideas for Using Technology In Core Mathematics Courses
Lawrence E. Levine

2. Levine’s Technology Theorem
Everything works either at home or in my office, and nothing works when I present it.

3. My Background Trained as an applied mathematician
At Stevens since 1968
Research interests
Fluid dynamics
Differential equations
Perturbation methods
Department Head for 5 years
I am not a computer scientist

4. Achieved Some Fame Mathematician trading cards Larry Levine
Larry Levine

5. Words of Caution Lecture/teaching model still good
Technology will not put us out of business
Use technology only where appropriate
Can add new dimensions to the classroom
Can add new dimensions to student learning
Limitations of Technology
Do not force its use

6. Some Uses of Technology as a Learning/Teaching Tool
Course Web Sites
Teaching with computers
Locating Web resources
Mathematical slide shows
Computer homework assignments and projects
Discovering things using technology

7. Course Web Sites All the important information about the course
Syllabus
Office Hours
Homework assignments
Lecture notes
Old Exams with solutions
Grades

8. Teaching with Computers
Present subject matter easily
Incorporate demonstrations in the lectures
Show students how to use software
Cautions
Must be easy to use
Requires a great deal of good support

9. Web Sites for Calculus

10. More Web Sites for Calculus

11. Finding Web Sites Search Engines www.google.com www.altavista.com
Any other search engine

12. Web Site Cautions Time considerations in creating a web site
Time considerations in maintaining a web site
Good support a must
Undergraduates or graduates
Deal with technical aspects

13. Mathematical Slide Shows I
These use stream technology
How created
Power Point good for creating slides
Then can easily add narration
Real media add-on to convert real format
Power Point not good for writing math

14. Mathematical Slide Shows II
SNB is good for writing math
Power Point does not read tex files
Solution
Prepare math using SNB
Capture portions of file as graphics files
Important these graphics files into Power Point
Add narration, convert to real format

15. Discovering Things Using Technology
Teaching the Method of Series Solution
Polynomial solutions of DEs
Which equations have a polynomial solution?
Perturbing the DE
Using SNB to investigate this

16. Conclusions The world is changing
Technology will become more prevalent
Students must be fluent with technology
Technology opens new horizons
Many approaches
Some good, some not so good
Try new approaches, identify good ones, develop them
No small challenge