How can all the constructions of Euclidean be done by paper folding? What assumptions are made when paper is folded to construct geometric figures from Euclidean geometry?
What is orgami?
What is a hexaflexagon? How many flexes are … See the whole entry
Write a paper on the famous Tower of Hanoi problem.
When my daughter was 2 years old, she had a toy that consisted of colored rings of different sizes:
Suppose you wish to move the “tower” from stand … See the whole entry
Videos:
Counting using Combinations (time: 9:56)
Combinations (time: 10:15)
… See the whole entry
Videos:
How to Solve Rubik’s Cube – Part I (time: 6:32)
How to Solve Rubik’s Cube – Part II (time: 5:49)
Instant Insanity Commercial (time: 0.32)
… See the whole entry
Videos:
Counting Using Permutations (time: 10:29)
Permutations (time: 10:10)
… See the whole entry
Play with a Rubik’s Cube online (I got hooked on these sites):
http://www.mathplayground.com/rubikscube.html
Here you can design your own cube: (Be patient, this one takes a minute to load.)
OK, so you think your good with Rubik’s Cube….. here is … See the whole entry
Here is a comparison of permutations and combinations.
http://www.mathsisfun.com/combinatorics/combinations-permutations.html
A review of counting principles including the fundamental counting principle, permutations, combinations, and distinguishable permutations.
http://www.richland.cc.il.us/james/lecture/m116/sequences/counting.html
Combinations:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut57_comb.htm
A slightly more advanced discussion of combinations can be found here:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut57_comb_ans.htm… See the whole entry
Discusses the building of tree diagrams.
http://www.shodor.org/interactivate/discussions/pd8.html
Permutations:
http://www.cut-the-knot.org/do_you_know/permutation.shtml
Permutation patterns:
http://www.blarg.net/~math/permutations.html… See the whole entry
This is one of the best all around sites that I have found. It is titled “The MacTutor History of Mathematics Archive.”
http://www-history.mcs.st-and.ac.uk/~history
This is an award-winning site that links to all sorts of mathematics information.
http://archives.math.utk.edu/
Sophie Germain:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Germain.html… See the whole entry