Instructional Video20:31
3Blue1Brown

Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam: Topology - Part 2 of 3

12th - Higher Ed
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.
Instructional Video13:10
PBS

Solving the Wolverine Problem with Graph Coloring

12th - Higher Ed
At one time, Wolverine served on four different superhero teams. How did he do it? He may have used graph coloring.
Instructional Video9:52
3Blue1Brown

Vectors, what even are they? | Essence of linear algebra, chapter 1

12th - Higher Ed
What is a vector? Is it an arrow in space? A list of numbers?
Instructional Video5:55
Bozeman Science

Thinking in Causation - Level 3 - Causal Relationships

12th - Higher Ed
In this video Paul Andersen shows conceptual thinking in a mini-lesson on causal relationships. TERMS: Cause - a thing that gives rise to an event Effect - an event Relationship - interconnection between parts of a system This...
Instructional Video8:31
PBS

How the Squid Lost Its Shell

12th - Higher Ed
The ancestors of modern, squishy cephalopods like the octopus and the squid all had shells. In ancient times, their shell was their greatest asset but it eventually proved to be their biggest weakness.
Instructional Video5:40
SciShow

First Results from the Probe That Went to the Sun

12th - Higher Ed
Scientists have revealed the results of the Parker Solar Probe’s first two flybys of the Sun, and LIGO has a new instrument called the quantum vacuum squeezer!
Instructional Video5:27
SciShow

How Earth's Rotation Affects Our Oxygen | SciShow News

12th - Higher Ed
Oxygen is crucial for life as we know it, but before it could build up in our atmosphere, earth had to slow down.
Instructional Video13:09
3Blue1Brown

Cross products in the light of linear transformations: Essence of Linear Algebra - Part 11 of 15

12th - Higher Ed
The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.
Instructional Video5:08
TED-Ed

TED-Ed: Is this the most successful animal ever? | Nigel Hughes

Pre-K - Higher Ed
Prevailing for around 270 million years and encompassing more than 20,000 distinct species, trilobites are some of the most successful lifeforms in Earth's history. When they sprung into existence, they were among the most diverse and...
Instructional Video2:51
MinutePhysics

Why December Has The Longest Days

12th - Higher Ed
December has the longest solar days (noon-to-noon) because of the weird way a combination of the axial tilt of the earth and the eccentricity of its elliptical orbit conspire in December. Perihelion + Solstices = Long Days.
Instructional Video21:54
3Blue1Brown

Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam

12th - Higher Ed
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.
Instructional Video10:35
PBS

Can We Hear Shapes?

12th - Higher Ed
Mathematician Mark Kac asked the question "Can we hear the shape of a drum?" It was a question that took over 20 years to answer. Sine waves, fundamental frequencies, eigenvalues, this episode has got it all!
Instructional Video10:31
SciShow

7 Animals with Really Wild Tongues

12th - Higher Ed
They’re sticky, they’re stretchy, they’re just plain long—here are seven of the most interesting tongues in the animal kingdom! chapters CHAMELEONS 0:51 TUBE-LIPPED NECTAR BATS 2:16 WOODPECKER TONGUE Popular Science Monthly illustration,...
Instructional Video6:26
TED-Ed

TED-Ed: The Artists | Think Like A Coder, Ep 5 | Alex Rosenthal

Pre-K - Higher Ed
This is episode 5 of our animated series "Think Like A Coder." This 10-episode narrative follows a girl, Ethic, and her robot companion, Hedge, as they attempt to save the world. The two embark on a quest to collect three artifacts and...
Instructional Video13:17
3Blue1Brown

Music And Measure Theory

12th - Higher Ed
How one of the introductory ideas in a field called "measure theory" can be thought of in terms of musical harnomy and dissonance.
Instructional Video3:16
TED-Ed

TED-Ed: Can you solve the jail break riddle? - Dan Finkel

Pre-K - Higher Ed
You’re a bank robber trying to escape from jail. Can you solve the riddle to get past the fence to freedom? -- Your timing made you and your partner infamous bank robbers. Now, you need to use that timing to break out of jail. Your...
Instructional Video3:59
SciShow

Why Do We Have Such Long Childhoods?

12th - Higher Ed
Compared to most animals in the vast kingdom, humans have one of the longest childhoods. And you might think this is so we have time to develop our advanced thinking skills, but scientists think it might not be that simple.
Instructional Video7:40
PBS

How the T-Rex Lost Its Arms

12th - Higher Ed
Tyrannosaurus rex was big, Tyrannosaurus rex was vicious, and Tyrannosaurus rex had tiny arms. The story of how T-Rex lost its arms is, itself, pretty simple. But the story of why it kept those little limbs, and how it used them? Well,...
Instructional Video19:49
3Blue1Brown

Sneaky Topology (The Borsuk-Ulam theorem)

12th - Higher Ed
Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem
Instructional Video6:34
MinutePhysics

Length Contraction and Time Dilation | Special Relativity Ch. 5

12th - Higher Ed
This video is chapter 5 in my series on special relativity, and it covers how things that are moving (that is, moving relative to an inertial reference frame) at different speeds appear to be shorter in length... and longer in length....
Instructional Video5:30
SciShow

Will the Opportunity Rover Survive This Dust Storm?

12th - Higher Ed
The global dust storm on Mars is threatening the Opportunity rover and the wind on Venus might be changing the length of its days.
Instructional Video2:41
SciShow

How Do You Sing in Falsetto?

12th - Higher Ed
High-pitched falsetto singing can show off a singer’s physical ability, because singing this way takes a lot of effort and some careful physics!
Instructional Video2:38
SciShow

IDTIMWYTIM Equinox Stupid Latin

12th - Higher Ed
In this edition of IDTIMWYTIM, Hank explains why the common understanding of "equinox" is wrong, what the equinox actually is, and then rages a little against astronomers and their stupid confusing Latin terms.
Instructional Video6:25
MinutePhysics

Spacetime Intervals: Not EVERYTHING is Relative | Special Relativity Ch. 7

12th - Higher Ed
This video is chapter 7 in my series on special relativity, and it covers the idea that some things AREN'T relative: there IS a sense of absolute length and absolute time, which can be agreed upon from all moving perspectives (as long as...