Technology in the Classroom Demos

Oliver Knill, April 9, 2014

1. Computer algebra systems

The evolution of computer algebra systems
Newer examples
  1. 3D printing 2013
  2. 3D printing 2013, and
  3. (actual printouts
  4. Garden project, Fall 2011
  5. Wolfram Graph theory 1
  6. Wolfram Graph theory 2
Older Examples:
  1. Geometry
  2. Gas
  3. Vectors
  4. More templates

2. Animations

Done with Mathematics
Newer examples For MathE320 Spring 2012
  1. Butterfly theorem
  2. Graph aggregation
Older Examples: For MathE320 Spring 2011
  1. Morley
  2. Wobbly table
  3. Catastrophes
  4. Pascal
For MathE320 Spring 2010
  1. Pythagoaras
  2. Thales etc

3. 3D printing

  1. Thesis project with Elizabeth Slavkovsky

4. WebGl

An exciting technology
Examples:
  1. Crystal
  2. Julia
  3. Sphere
  4. Lorenz
  5. Life
  6. Water
Links: WebGL Water by Evan Wallace, Plot3D, Fractal explorer, Aquarium Jelly, Ambiera, chrome, Histo, Giraffe.

5. HTML5

  1. Apple (2)
  2. Google
  3. Particle
  4. Linalg in browser
  5. Turning pictures
  6. Parallax

6. Applets

Java applets. Examples:
  1. Planimeter (2002)
  2. Line integral (2002)
  3. Catastrophe
  4. Chirikov (1999)

7. Flash

Flash. Examples:
  1. Curl/Div (2004)
  2. Torus (2004)
  3. Coin (2003)
  4. Spiders

8. Javascript

A robust technology without plugins.
  1. Quizzes for Math 1a
  2. PiDay Quiz
Older Examples:
  1. Online Quiz (2003)
  2. Javascript dynamics (1999)
  3. Javascript dynamics (1999)
  4. Gauss-Jordan (2001)

9. Multimedia

Useful to lighten up a lecture or review or a website. see Presentation Examples:
  1. Qkiki
  2. Data fitting (2007)
  3. Barbie (1006)

10. Graphics

One or two pointers how to produce graphics for handouts or overheads or worksheets. Examples:
  1. Povray drill
  2. Povray gear
  3. Marblebook

11. Graphing Calculators

Graphing calculators are self contained applications. They are cheap and do not need much time to learn. They are ideal for the classroom demonstrations Examples:
  1. Exhibit (2007)
  2. Examples
  3. Grapher examples

12. Discussion:

There is a plethora of possibilities. There is almost too much choice. Despite the dangers and risks, there can be a lot of benefits. Examples:
  1. pitfalls in teaching
  2. slides
  3. slides [PDF]