new math

An amateur animation of Tom Lehrer's satirical song New Math, which pokes fun at 1960s math teaching and subtraction in base 8. The animation illustrates the old and new subtraction methods.

Mathematician Colin Wright demonstrates juggling and explains the mathematics of juggling patterns, including notation that led to new throwing patterns. It is a public presentation at the Museum of Mathematics aimed at a general audience.

The first lecture of N J Wildberger's History of Mathematics course, starting with Pythagoras' theorem and following Stillwell's text. It emphasizes the flow of ideas over proofs.

A PBS NewsHour report on a viral compilation of local TV anchors reading identical scripts, which raised concerns about Sinclair Broadcasting mixing partisan opinion into local news. It also covers Sinclair's reach and its bid to grow larger.

Thomas Garrity discusses mathematical maturity, a concept mathematicians use for professional development, and how it can inform teaching, mentoring and careers. It was given at the IAS/PCMI Park City Mathematics Institute.

The first lecture of MIT 6.042J Mathematics for Computer Science, taught by Tom Leighton, introducing mathematical proofs. It covers propositions, implication and basic proof methods.

An animated 11-minute tour of the whole field of mathematics as a single map, showing how pure and applied math and their sub-fields relate to each other.

A short satirical segment from Charlie Brooker's Newswipe that lampoons the formulaic conventions of television news reporting, from stock shots to filler street interviews and news-speak.

Real Engineering looks at the numbers for running California on renewables, focusing on the large energy storage needed. It argues about the cost of batteries and the role of other sources.

Conrad Wolfram argues that the part of math taught in schools, hand calculation, is tedious and mostly irrelevant to real mathematics. He proposes teaching math through computer programming so students can tackle real problems.

Matt Parker's Royal Institution talk based on his book Humble Pi, covering everyday mathematical mistakes and spurious patterns that went wrong in engineering and software. It mixes stand-up comedy with stories of coincidence and error.

A ten-minute clip of Richard Feynman describing how mathematicians and physicists differ in their interests and customs. He argues physics rests on visualizing and applying math rather than pure abstraction.

Gregory Chaitin is interviewed on Closer To Truth about whether mathematics is invented or discovered. He gives a nuanced view that ties the question to the nature of reality.

A short Great Big Story piece about Hagoromo, a Japanese chalk brand so prized that mathematicians stockpiled it, with some reportedly dealing it on the side. It tells the quirky tale of a writing tool whose supply became scarce.

A clip of Richard Feynman contrasting the Greek and Babylonian traditions of mathematical reasoning. It compares the axiomatic approach of mathematicians with how physicists use mathematics.

Six minutes of street scenes from New York City in 1993, captured from a D-Theater HD DVHS demo tape that reused footage shot for the Japanese HiVision market. It shows Times Square and other sights in high-definition video.

David MacKay's TEDxWarwick talk uses basic arithmetic to show how much land and energy renewables would need to power a country like the UK. It explains the limits of sustainable options and why they should still be pursued.

Michael Shellenberger argues in a TEDx talk that solar and wind need huge amounts of land and mining, and says nuclear power is a better path to protecting both the climate and nature.

Owen Maitzen's animated hour-long introduction to Hackenbush, a simple combinatorial game, and how its strategy leads to surreal numbers and the roots of the number system.

A one-hour 2019 KOMO News documentary hosted by Eric Johnson on Seattle's homelessness and drug crisis, with interviews and looks at proposed solutions including a drug court program in Rhode Island. It argues addiction and mental illness are at the core of the problem.

A short street-level clip of Joe Ades, the New York pitchman who sold vegetable peelers to crowds on the sidewalk. It shows his patter, showmanship and crowd handling in action.

Mathologer examines the infamous Numberphile claim that 1+2+3+... equals -1/12, explaining what is wrong with the calculation and how it connects to real math like the zeta function and analytic continuation.

Mathologer shows how times table diagrams on a circle produce cardioids and other curves connected to the Mandelbrot set. He explains the patterns and links to a tool for making your own diagrams.

An hour-plus Some More News episode that critiques Ben Shapiro's arguments and record of errors. It is a long, comedic and opinionated breakdown.

A short Adam Curtis clip on what he calls oh dearism, the habit of news reporting that presents events as a stream of sad, inexplicable happenings. He argues this leaves viewers passive and unable to imagine action.

An NBC News clip from 2020 of Kamala Harris on whether she would take a Covid-19 vaccine. She says she would if doctors said it was safe but not if Donald Trump told her to.

A short New Zealand Tourism ad in which comedian Rhys Darby appeals to Prime Minister Jacinda Ardern to solve why New Zealand keeps being left off world maps. It is a tongue-in-cheek take on a conspiracy theory.

A BBC News clip of Putin pressing Russian foreign intelligence chief Sergei Naryshkin to speak clearly during a televised meeting on recognizing the rebel-held Ukrainian regions in February 2022.

Mathematician Kevin Buzzard explains why he believes the Lean theorem prover will shape the future of mathematics, and describes digitizing his university curriculum in Lean with undergraduates, plus the cultural challenges.

Gabe Newell of Valve speaks at UT Austin's LBJ School on productivity, economics, political institutions and the future of corporations. He discusses in-game economies and how Valve organizes work.

A 1990 lecture by James Gosling on NeWS, Sun's networked window system in which clients send PostScript programs to the server for execution. It covers the high-level imaging model and compares NeWS with similar systems.

Andrej Bauer's IAS talk introduces constructive mathematics and what it feels like to do mathematics without excluded middle. It is framed as a tour for classical mathematicians.

Chamath Palihapitiya talks with Jason Calacanis about how he bought into the mythology of Silicon Valley, which he calls a Ponzi scheme, and about rebuilding Social Capital. He urges founders to grow slowly and build what matters.

A Conan segment compiling local news anchors who all read the same scripted copy during the holiday season. It highlights how homogenized local broadcast news has become.

A short compilation showing many local news anchors across different stations reading the same scripted statement verbatim. It is presented as evidence of centralized message control in local media.

A clip of Australian Prime Minister Malcolm Turnbull saying the laws of Australia prevail over the laws of mathematics, regarding encryption. The audio is quiet in the second half.

A New Yorker short documentary about the 2014 sinking of the Sewol ferry in South Korea, based on the film In the Absence. It examines the failures in the rescue and the political aftermath.

Veritasium's explainer on Godel's incompleteness theorems and the limits of mathematical proof, tracing set theory, Hilbert's program and the road to Turing and modern computing.

A long Technology Connections video arguing that public understanding of renewable energy is distorted. It covers solar economics, land use compared with ethanol corn, and battery myths such as cobalt.

3Blue1Brown explores infinite sums from convergent to divergent, with an introduction to the 2-adic metric, themed on the cycle between discovering and inventing mathematics.