Text from an interview with John H. Barrow, Professor of Mathematical Sciences at the University of Cambridge, discussing history of cultural understanding of infinity, as well as different understandings of infinity - mathematical, physical, cosmological
Review of 1999 book on cosmology demonstrating universal phenomena contingent on six numbers. "Forget those 1,000 things you need to do before you die, the 10 commandments and seven deadly sins. Concentrate instead on six impossible things that, as the White Queen advised Alice, you must try to believe before breakfast. Without them there would be no galaxies of stars, no chemistry, no people, no books and no breakfast."
"Researchers in Spain have recently proved, mathematically, that particles charged in a magnetic field can escape into infinity without ever stopping. When this happens, under a certain set of conditions, particles will either never stop, as in a loop, or actually escape the limits of a spherical surface, no matter how big the surface may be."
"A physicist faced with a fine for running a stop sign has proved his innocence by publishing a mathematical paper, and has even won a prize for his efforts. Dmitri Krioukov is a physicist based at the University of California in San Diego."
"Albert Einstein called her the most "significant" and "creative" female mathematician of all time, and others of her contemporaries were inclined to drop the modification by sex. She invented a theorem that united with magisterial concision two conceptual pillars of physics: symmetry in nature and the universal laws of conservation."
Mount Holyoke physics professor Mark Peterson argues that Galileo's applications of mathematics to Dante's Inferno laid the groundwork for his later discoveries (to be expanded on in a forthcoming book: ""Galileo's Muse: Renaissance Mathematics and the Arts" )
Wikis are the most popular Web 2.0 tool being used in science and math classrooms. Based on a survey of readers - 43 percent use them to support their teaching and student learning.
A Wiki is appealing, encourages participation, supports collaboration, and promotes interaction by students who love to use technology.
Khan Academy is a widely know and used cross-curricular educational video site. While there is some content for younger students, most videos are for older students and adults. http://ictmagic.wikispaces.com/Cross+Curricular