PBS
Voting Systems and the Condorcet Paradox
What is the best voting system? Voting seems relatively straightforward, yet four of the most widely used voting systems can produce four completely different winners.
MinutePhysics
Misconceptions Footnote †: Randomness and Feedback
Footnote to the main video here: https://youtu.be/HUti6vGctQM Feedback loops and spurious correlations! REFERENCES: Spurious correlations: http://www.tylervigen.com/spurious-correlations Loopy by Nicky Case: http://ncase.me/loopy/...
MinutePhysics
Is the Universe Entirely Mathematical feat. Max Tegmark
Is the Universe Entirely Mathematical feat. Max Tegmark
TED-Ed
TED-Ed: Does math have a major flaw? | Jacqueline Doan and Alex Kazachek
A mathematician with a knife and ball begins slicing and distributing the ball into an infinite number of boxes. She then recombines the parts into five precise sections. Moving and rotating these sections around, she recombines them to...
MinutePhysics
Why Penrose Tiles Never Repeat
This video is about a better way to understand Penrose tilings (the famous tilings invented by Roger Penrose that never repeat themselves but still have some kind of order/pattern).
SciShow
The Fibonacci Sequence: Nature's Code
Hank introduces us to the most beautiful numbers in nature - the Fibonacci sequence.
SciShow
Why It's Good for COVID-19 Models to Be Wrong
As we react to the predictions that epidemiological models make, changing the ways we act and go about our lives, those estimates can appear totally off. But if a model’s predictions end up being wrong, that might mean it's done exactly...
SciShow
4 Weird Unsolved Mysteries of Math
There are lots of unsolved mysteries in the world of math, and many of them start off with a deceptively simple premise, like: What's the biggest couch you can slide around a 90-degree corner? Hosted by: Michael Aranda
SciShow
How to Predict the Odds of Anything
Statistics! They're every scientist's friend. But they can be easy to misinterpret. Check out this thought exercise with Hank to understand how some mental kung fu known as Bayesian reasoning can use stats to draw some downright...
PBS
Thinking about math in terms of literacy - not levels
Algebra is a core subject for U.S. high school students. But should it be? Author Andrew Hacker believes we should reconsider how math is taught: only 5 percent of the American workforce actually uses math beyond arithmetic, though...
PBS
Counting the benefits of teaching math to 3-year-olds
"In Boston public schools, 3, 4 and 5-year-olds are getting their first introduction to math. Before they walk through the kindergarten door, the "Building Blocks" curriculum is designed to encourage very young children to think and talk...
3Blue1Brown
A quick trick for computing eigenvalues | Essence of linear algebra, chapter 15
A quick way to compute eigenvalues of a 2x2 matrix
3Blue1Brown
Alice, Bob, and the average shadow of a cube
A story of problem-solving styles, with the central example of finding the average area for the shadow of a cube.
Bozeman Science
Mathematics - Biology's New Microscope
Paul Andersen (with the help of PatricJMT) explains why mathematics may be biology's next microscope.
3Blue1Brown
Eigenvectors and eigenvalues: Essence of Linear Algebra - Part 14 of 15
Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?
3Blue1Brown
How (and why) to raise e to the power of a matrix | DE6
Exponentiating matrices, and the kinds of linear differential equations this solves.
3Blue1Brown
Group theory, abstraction, and the 196,883-dimensional monster
An introduction to group theory, and the monster group.
3Blue1Brown
What's so special about Euler's number e? Essence of Calculus - Part 5 of 11
What is the derivative of a^x? Why is e^x its own derivative? This video shows how to think about the rule for differentiating exponential functions.
3Blue1Brown
Visualizing quaternions (4d numbers) with stereographic projection - Part 1 of 2
How to visualize quaternions, a 4d number system, in our 3d world
3Blue1Brown
Feynman's Lost Lecture
This video recounts a lecture by Richard Feynman giving an elementary demonstration of why planets orbit in ellipses. See the excellent book by Judith and David Goodstein, "Feynman's lost lecture”, for the full story behind this lecture,...
Bozeman Science
PS3C - Relationship Between Energy and Forces
In this video Paul Andersen describes the relationship between energy and forces. When objects are directly touching electromagnetic forces can result in forces and energy exchange. When objects are not directly touching fields;...
3Blue1Brown
What are quaternions, and how do you visualize them? A story of four dimensions.
How to think about this 4d number system in our 3d space.