Mike Daven, Ph.D.
Division of Math & CS
Mount Saint Mary College

main webpage "answers"

This list of links was last updated 7/16/2008 (last check for linkrot done 7/16/2008)

Discrete Math
- The Collatz sequence
- Flash applications for Discrete Math by Doug Ensley and Winston Crawley of Shippensberg University
- Analytical Engine Online (an excellect applet for logical circuits)
- The Mathematical Atlas: Combinatorics
- Oracle of Bacon
- Traveling Salesman Problem and TSP Generator
- Truth table practice quiz
- Venn diagram practice quiz
- Venn diagram self-test (with active javascripted images)
Precalculus, Calculus, Differential Equations
- applets, calculators, and demos:
  - calculus 1, 2, 3, Gradient demo (requires Shockwave plug-in), Host/Parasite demo (requires Shockwave plug-in), Integrator (neat!)
  - differential equations 1, see also Euler's Method for DEs, the Bridge Collapse page, and Super Bridge (Nova special)
  - geometry 1, 2
  - trigonometry 1
  - vectors 1, 2, 3
  - "gizmos" for precalculus, elementary functions (require Shockwave plug-in)
  - graphing utilities: 2D, 3D
  - online calculators (derivatives, integrals, and more)
- Maxima (a freeware Computer Algebra System)
- Pythagorean Theorem, with pictures!
- Tools for Enriching Calculus (from Stewart, Calculus: Concepts & Contexts)
Linear Algebra, Numerical Analysis
- LaGrange and cubic polynomial interpolation
- Linear Algebra Toolkit
- The MathWorks: Matlab File Exchange
- The Mathematical Atlas: Linear algebra
- The Mathematical Atlas: Numerical analysis
- Octave (a freeware program that is mostly compatible with Matlab)
- SAGE (another freeware program that may become a suitable alternative to Matlab)
- Runge's phenomenon
Future teachers
- Curriculum resources:
  - art: math, LEGO
  - Famous problems in the history of Mathematics (including my favorite), Top 100 Theorems in Math
  - Fibonacci: the man and the sequence
  - Graphing calculator help
  - Greek alphabet
  - Mathematical Sciences Digital Library (MAA) (check out the "Digital Classroom Resources")
  - MathType is a reasonably good way to "upgrade" Word or WordPerfect and is worth the price if you are tied to WYSIWYG.
    Of course, LaTeX is mostly free and does a much better job if you are willing to learn. Let me know if you are interested.
  - http://www.mathpuzzle.com
  - http://www.mathwords.com
  - http://mathworld.wolfram.com/
  - Mathematician of the Day
  - Mathematics Genealogy Project
  - Math & the Simpsons
  - Mega-Mathematics (good resources in disrete math, from the Los Alamos National Laboratory)
  - NCTM (examples by grade)
  - National Curve Bank
  - National Library of Virtual Manipulatives
  - New York Times:
    - Daily Lesson Plan
    - Learning Network
    - On This Day
  - Numb3rs (activities from the CBS television show)
  - PLUS Magazine
  - Purplemath
  - Scirus (this search engine looks through scientific websites)
  - Shodor Interactivate (Shodor is a non-profit research and education organization dedicated to the advancement of science and math education)
  - Teachnology.com -- for some educational games, try here, here, or here
  - Utilities and online tests for various math courses
  - Volume conversion calculator
  - World Population Clock Projection
  - The 12 Days of Christmas
- Professional development resources:
  - American Mathematical Society (AMS)
  - GRE Subject Tests
  - Mathematical Association of America (MAA)
  - Mad Science of the Mid-Hudson
  - NYSTCE website
  - teacher workshops (from the Center for Mathematics, Science & Computer Education, at Rutgers University)
  - Ten County Mathematics Education Association
  - http://www.mathematicallycorrect.com/