Two perfectly rational gingerbread men, Crispy and Chewy, are out strolling when they’re caught by a fox. Instead of simply eating them, he decides to put their friendship to the test with a cruel dilemma. He’ll ask each gingerbread man whether he’d opt to Spare or Sacrifice the other. What should they choose? Lucas Husted dives into the classic game theory scenario: the Prisoner's Dilemma.
When Nicolas Bourbaki applied to the American Mathematical Society in the 1950s, he was already one of the most influential mathematicians of his time. He’d published articles in international journals and his textbooks were required reading. Yet his application was firmly rejected for one simple reason: Nicolas Bourbaki did not exist. How is that possible? Pratik Aghor digs into the mystery.
See this interesting animation: https://www.youtube.com/watch?v=0O_boW9YA7I
Michio Kaku is an American theoretical physicist, futurist, and popularizer of science. He is a professor of theoretical physics in the City College of New York and CUNY Graduate Center. Kaku has written several books about physics and related topics, has made frequent appearances on radio, television, and film, and writes online blogs and articles.
School Education Gateway published a useful list of European national websites for online and distance learning
All European countries have taken immediate measures to ensure that, although schools have closed during the COVID-19 crisis, teaching and learning can continue. Here we share many of the websites that are used in Member States to provide support and updated information for teachers and school leaders on an ongoing basis.
While a certificate from a MOOC isn’t the same as a college degree, MOOCs are providing access to world-class education to anyone with an internet connection, which opens up a world of possibilities. For instance, a high school student can take a MOOC that allows them to determine which career path is right for them (before wasting time and money on a degree that they can’t or don’t want to use). Additionally, those who can’t afford to quit their job to go back to school to further or change their career path can take MOOCs in their free time.
We all want our kids to succeed in math. In most districts, standardized tests are the way understanding is measured, yet nobody wants to teach to the test. Over-reliance on test prep materials and “drill and kill” worksheets steals instructional time while also harming learning and motivation. But sound instruction and good test scores aren’t mutually exclusive. Being intentional and using creative approaches to your instruction can get students excited about math.
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
Can you find some errors on the map?
See the video on YouTube: https://www.youtube.com/watch?v=OmJ-4B-mS-Y&t=2s
Can you ever travel from one place to another? Ancient Greek philosopher Zeno of Elea gave a convincing argument that all motion is impossible - but where's the flaw in his logic? Colm Kelleher illustrates how to resolve Zeno's Dichotomy Paradox.
Video is available here: https://www.ted.com/talks/colm_kelleher_what_is_zeno_s_dichotomy_paradox#t-20320
The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it's completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert's paradox.
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