Professor Alan Davies presents a series of groundbreaking experiments pioneered by the Ancient Greeks. Often called the “birthplace of civilisation”, Ancient Greece heralded numerous advances in philosophy, science, engineering and mathematics which have shaped our understanding of the modern world.

Assisted by Ri demo technician, Andy Marmery, Professor Davies demonstrates the key discoveries and experiments of many Greek thinkers — from Thales and Pythagoras to Euclid, Archimedes and Hypatia of Alexandria.

The Monty Hall Problem is a famous (or rather infamous) probability puzzle. This video features Lisa Goldberg, an adjunct professor in the Department of Statistics at University of California, Berkeley.

When you hear the word symmetry, you might think generally of triangles, butterflies, or even ballerinas. But defined scientifically, symmetry is “a transformation that leaves an object unchanged.” Huh? Colm Kelleher unpacks this abstract term and explains how animal’s distinct symmetries can tell us more about them — and ourselves.

Lesson by Colm Kelleher, animation by Andrew Foerster.

A bump on the head, a mysterious femme fatale and a strange encounter on a windswept peak all add up to a heck of a night for Manny Brot, Private Eye. Watch as he tries his hand at saving the dame and getting the cash! Shudder at the mind-bending geometric riddles! Thrill to the stunning solution of The Case of the Missing Fractals.

Lesson by Alex Rosenthal and George Zaidan, animation by TED-Ed.

The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000. As of July 2013, six of the problems remain unsolved. A correct solution to any of the problems results in a US $1,000,000 prize (sometimes called a Millennium Prize) being awarded by the institute. The Poincaré conjecture was solved by Grigori Perelman, but he declined the award in 2010. [via]

It’s about what America needs to do to be successful in the future, says the bow-tied former drafting engineer. EICtv News interviewed one of the most recognizable faces of science for the S.E.T. Awards.