Research Presentations

Assignment
Rubric

Abacus
http://encyclopedia.stateuniversity.com/pages/419/abacus.html
Babylonian_Abacus
http://www.ee.ryerson.ca:8080/~elf/abacus/

History of the Pythagorean Theorem & Pythagorean triples
History of the theorem
Pythagorean theorem
More history

Three classic problems
Constructions with straight edge and compass
Squaring the circle
Doubling the cube
Trisecting an angle

Zeno’s paradoxes and Aristotle’s refutations
Zeno
Dichotomy, Achilles, Arrow, Stadium

Galley division
Galley division
Islamic mathematics
Mathematical legacy of Islam
Arabic mathematics

History of pi
History_of_pi
http://www.cis.yale.edu/ynhti/curriculum/units/1980/7/80.07.11.x.html
Pi_through_the_ages
Buffon's needle

Method of indivisibles and method of infinitesimals
Cavalieri, Roberval, Archimedes, Leibniz, Kepler, etc
Origins of differential & integra
Cavalieri’s method

Cubic, quadratic, quartic equations
Quadratic equations
Ferrari, Cardan, Tartaglia, etc

History of calculus
Newton, Leibniz, etc
The rise of calculus

Infinity & Cantor's set theory
Georg Cantor
Stories about Never-ending Sums, MTMS, 15(5), 275-280

Knot theory
Cicular theory of knots
History