1 / 16

Ideas for Using Technology In Core Mathematics Courses

Ideas for Using Technology In Core Mathematics Courses. Lawrence E. Levine. Levine’s Technology Theorem. Everything works either at home or in my office, and nothing works when I present it. My Background. Trained as an applied mathematician At Stevens since 1968 Research interests

annice
Download Presentation

Ideas for Using Technology In Core Mathematics Courses

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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 • http://www.bulletproof.org/math/default.asp • Larry Levine • http://golem.math.stevens-tech.edu/card/

  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 • http://attila.stevens-tech.edu/~llevine/ • http://golem.math.stevens-tech.edu/llevine/ma205/ma_205.html

  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 • http://archives.math.utk.edu/visual.calculus/index.html • http://www.math.psu.edu/dna/graphics-g.html • http://golem.math.stevens-tech.edu/ma115/ • http://golem.math.stevens-tech.edu/ma116/

  10. More Web Sites for Calculus • http://www.math.tamu.edu/~tkiffe/webcalc/secantapplet.html • http://www.math.tamu.edu/~webcalc/ • http://golem.math.stevens-tech.edu/llevine/ma205/lessons/lesson_21.rap

  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. MathematicalSlide Shows I • http://attila.stevens-tech.edu/~llevine/ • These use stream technology • How created • Power Point good for creating slides • Then can easily add narration • Real media add-on to convertreal format • Power Point not good for writing math

  14. MathematicalSlide 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

More Related