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570 posts tagged with Math.

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## More kids more math

"You wouldn’t see it in most classrooms, you wouldn’t know it by looking at slumping national test-score averages, but a cadre of American teenagers are reaching world-class heights in math—more of them, more regularly, than ever before." Peg Tyre in

*The Atlantic*covers the new wave of deeper, faster, and hopefully broader math education. [more inside]## Babylonian (Pre)Calculus!

Signs of Modern Astronomy Seen in Ancient Babylon - "Scientists have found a small clay tablet with markings indicating that a sort of precalculus technique was used to track Jupiter's motion in the night sky." [more inside]

## “may someday help in a more objective assignment of books...”

Scientists find evidence of mathematical structures in classic books. [The Guardian] James Joyce’s Finnegans Wake has been described as many things, from a masterpiece to unreadable nonsense. But it is also, according to scientists at the Institute of Nuclear Physics in Poland, almost indistinguishable in its structure from a purely mathematical multifractal.

“The absolute record in terms of multifractality turned out to be Finnegans Wake by James Joyce. The results of our analysis of this text are virtually indistinguishable from ideal, purely mathematical multifractals,” said Professor Stanisław Drożdż, another author of the paper, which has just been published in the computer science journal Information Sciences.

## The emperor was naked, and so is this.

*"Respected research math is dominated by men of a certain attitude. Even allowing for individual variation, there is still a tendency towards an oppressive atmosphere, which is carefully maintained and even championed by those who find it conducive to success."*Recent Princeton graduate Piper Harron's PhD thesis isn't written for these men. It is very cool number theory, and it is art.

## No cutesy adversaries

*“I think the post-war turn towards social responsibility in science and engineering was less a turn than a sideways glance. .. If researchers like us were actually supposed to know or care about this stuff in any operationally significant way, well, I think we didn't get the memo. So let me retransmit it.”*- Phillip Rogaway. The Moral Character of Cryptographic Work. [more inside]

## Internet quizzes are to Metafilter as...

## Statistical heaping, 20 yards, first down

What I've got: A spreadsheet containing every single play run in the NFL from 2000-2014 (500,000 in all)

What I'm going to do with it: Show that the referees subconsciously change the outcome of a play based on where the painted lines are on a field, and subsequently show that it doesn't matter.

What I'm going to do with it: Show that the referees subconsciously change the outcome of a play based on where the painted lines are on a field, and subsequently show that it doesn't matter.

## Where are all the women? The math said there would be more women!

One mathematician’s formula suggests that all-male lineups don’t “just happen,” despite what conference organizers might claim. "...in any conference with over 10 speakers, say, it would be extremely rare to have no female speakers at all—less than 5 percent chance, depending on one’s assumption about the percentage of women in mathematics as a whole."

## Can an iPad run Drug Wars? Oh... it can?

The TI-83 graphic calculator is still a standby for mathematics education in America. This Mic.com article looks at some of the causes and effects of that fact. [more inside]

## The likelihood that there's interesting or important math is pretty high

Shinichi Mochizuki and the impenetrable proof - "Fesenko has studied Mochizuki's work in detail over the past year, visited him at RIMS again in the autumn of 2014 and says that he has now verified the proof. (The other three mathematicians who say they have corroborated it have also spent considerable time working alongside Mochizuki in Japan.) The overarching theme of inter-universal geometry, as Fesenko describes it, is that one must look at whole numbers in a different light — leaving addition aside and seeing the multiplication structure as something malleable and deformable. Standard multiplication would then be just one particular case of a family of structures, just as a circle is a special case of an ellipse." (previously: 1,2; via) [more inside]

## Blowing the Whistle on the UC Berkeley Mathematics Department

*Given the success I am having with students, one might think that the Mathematics Department leadership would be expressing curiosity about how I am achieving that success. Instead, Craig Evans in early 2014 asked me "If you had a job at McDonalds and came along with all these new ideas, how long do you think you'd carry on working there?" The fact that the now Interim Chair of the UC Berkeley Mathematics Department should compare undergraduate education to fast food reveals everything you need to know about how students are regarded by the leading clique of men at the helm of the Mathematics Department of the number one public university in the world.*[more inside]

## Learning common core math with a check written by an upset father

When the father of a second grader got annoyed by common core math tools (namely, ten frame cards), his annoyance went viral when he wrote a check to his student's school using common core numbers. Then the Friendly Athiest on Patheos used that check to teach how common core math works at the second grade level.

## Fun math for kids

Unsolved problems with the common core. Computational biologist (and occasional curmudgeon) Lior Pachter pairs unsolved problems in mathematics to common core math standards.

## Steve Martin and Robin Williams Riffing on Mathematics

In 2002, Steve Martin sat down for a Q&A about his writing and his interest in mathematics. His friend Robin Williams was on hand to help out. Please pardon the video quality. Part 1 Part 2 Part 3 Part 4 Part 5

## You sank my battleship... with probability!

Battleship Probability Calculator by C. Liam Brown. Finds the best squares to try during the game.

## Inspired by mathematical theorems or open problems...

Conveyer Belt Font. More mathematical and puzzle fonts/typefaces you can play with in your browser. Read about them in the article Fun with Fonts: Algorithmic Typography. [PDF]

## a(n)=a(n−1)+gcd(n,a(n−1)).

Go ahead: Press the button.

*A number is printed on the tape. Press again and another number appears. Keep going. A few more. Notice anything special about those numbers? The sequence begins: 5, 3, 11, 3, 23, 3, 47, 3, 5, 3, 101, 3, 7, 11, 3, 13, 233, 3, 467, 3, 5, 3, . . .*## Can you add faster than a 5 year old

CMA is a "brain development program designed to develop higher learning capability and aims to promote mental arithmetic, enhance memory, boost creativity, and increase focus using the principle of Abacus". Watch some kids from The Philippines calculates in seconds, using their fingers. (SLYT)

## Cosmic Call

“In 1999, two Canadian astrophysicists, Stéphane Dumas and Yvan Dutil, composed and sent a message into space. The message was composed of twenty-three pages of bitmapped data, and was sent from the RT-70 radio telescope in Yevpatoria, Ukraine, as part of a set of messages called Cosmic Call.” [more inside]

## New Pentagons

Mathematicians discover a new type of pentagon that can cover the plane leaving no gaps and with no overlaps. It becomes only the 15th type of pentagon known that can do this, and the first discovered in 30 years. [more inside]

## One Way or Another

"In a patent dispute between two pharmaceutical giants arguing over who owns the royalty rights to a lucrative wound-dressing solution, their lordships sat in judgment over an issue that would have tested the mettle of the finest mathematical logicians; and in the process coined a new legal definition of “one”." [more inside]

## Famous Fluid Equations Are Incomplete

The Singular Mind of Terry Tao - "Imagine, he said, that someone awfully clever could construct a machine out of pure water. It would be built not of rods and gears but from a pattern of interacting currents." (via) [more inside]

## Loop - Pool on an elliptical table

Loop - Pool on an elliptical table.

*The ellipse has two significant points, called focuses, which have a remarkable geometrical property that is almost always explained using the example of an imaginary pool table. "If a pool table is the shape of an ellipse, then a ball shot from one focus will always rebound to the other focus no matter in which direction the ball is shot." That sounded interesting! Wouldn’t it be fun, I thought, if I could build one of these imaginary tables? So I did.*## "Their little heads are exploding"

Mrs. Nguyen’s Prestidigitation

*From a set of 1 through 9 playing cards, I draw five cards and get cards showing 8, 4, 2, 7, and 5. I ask my 6th graders to make a 3-digit number and a 2-digit number that would yield the greatest product...*and somehow we end up with lacing diagrams and Python. (The original post on Fawn Nguyen's blog)## Time with class! Let's Count!

I want to demonstrate how amazing combinatorial explosion is! Please don't stop me. An animation about numbers that get large. It has a happy ending and possibly even a moral. [more inside]

## HoTT Coq

Univalent Foundations Redefines Mathematics - "When a legendary mathematician found a mistake in his own work, he embarked on a computer-aided quest to eliminate human error. To succeed, he has to rewrite the century-old rules underlying all of mathematics." (previously) [more inside]

## Keeping It Fair

You're sitting down with your friends to play a boardgame, and you find yourself in a conundrum: how do you choose a first player? Sure, you could roll a standard die and take highest number, but what if there's a tie? That could take forever! Besides, wouldn't you rather be mathematically sure that everyone has a fair shot at each spot in the turn order?
Of course you would!

## 3Blue1Brown: Reminding the world that math makes sense

Understanding e to the pi i - "An intuitive explanation as to why e to the pi i equals -1 without a hint of calculus. This is not your usual Taylor series nonsense." (via via; reddit; previously) [more inside]

## The toilet seat: up or down?

"I amused myself for over a year thinking about the impacts of different toilet seat administration policies and how to measure them – doing calculations in my head, considering ratios of Standing events to Sitting events, and I slowly began to understand some of the specific differences in the basic policies that know to be administered most often. Finally, I decided to perform a probabilistic analysis". Essential Toilet Seat Analytics.

## But is it fools' gold?

The Golden Ratio or the Golden Mean is touted as universal principle of mathematics, aesthetics, and architecture. Its natural occurrences are often associated with beauty and health. But naysayers think the Golden Ratio is myth or even a scam. Golden ratio previously and previouslier.

## The roads ahead are long and winding...

Alcazar is a neat little path-finding logic game. There are also printable puzzles, strategy tips and metapuzzles to be had. [more inside]

## When Is Cheryl’s Birthday?

## At FedEx, we considered that problem for about three seconds

The FedEx Problem: In which the author uses Euclidean geometry to determine, based on the US Population, the idea location for FedEx's giant hub in Memphis (spoiler: It's about 315 miles off).
Then, the guy who wrote the original scheduling software for FedEx shows up at Hacker News with the real story, and some war stories about the founding of FedEx: [more inside]

## I got cosines / on a cloudy day

The goofy, lofi math music of Al G. Bra and friends: Pi Girl — Say That Funky Number, Math Guy — Mathonna's Mathematical Girl. Plus: a trailer for math thriller Live and Let Pi, featuring the title track by Paul DesCartney.

## Celebrate Vi day.

## "You blew it, and you blew it big!"

## They evolved. They rebelled. There are many copies. And they have a plan

The Philadelphia 76ers are currently the worst team in basketball, but in terms of expected value, they are crushing. [more inside]

## "Where is the door?"

Profile: Breaking down the problem of bound gaps [New Yorker]: After graduating with a Ph.D. in algebraic geometry from Purdue in 1991, Yiting Zhang kept the books for a friend's Subway franchise and found other odd jobs before taking up a part-time calculus teaching position at the University of New Hampshire in 1999.

“For years, I didn’t really keep up my dream in mathematics,” he said.He published one paper in 2001. Then, in 2013, he submitted "Bounded Gaps Between Primes" to

“You must have been unhappy.”

He shrugged. “My life is not always easy,” he said.

*Annals of Mathematics*, one of the most prestigious journals in the field, which contained a proof for a finite bound within which there exist an infinite number of pairs of primes. It was a stunning mathematical breakthrough. [more inside]## Arithmeticfilter

Nothing but an endless supply of mental arithmetic problems. Five levels of difficulty, from "10 - 6" to "√370881." [more inside]

## Stephen Hawking is not part of the solution, he is part of the problem.

The equations on the blackboard may be the problem. Mathematics, the language of science, may have misled the scientists. “The idea,” says physicist Lee Smolin, “that the truth about nature can be wrestled from pure thought through mathematics is overdone… The idea that mathematics is prophetic and that mathematical structure and beauty are a clue to how nature ultimately works is just wrong.” [more inside]

## Thanks, Common Core.

Thanks, Common Core. Physics blogger Chad Orzel writes about the way kids do math now. (Spoiler: he likes it.) [more inside]

## No Pentagons

Imperfect Congruence -

*It is a curious fact that no edge-to-edge regular polygon tiling of the plane can include a pentagon ... This website explains the basic mathematics of a particular class of tilings of the plane, those involving regular polygons such as triangles or hexagons. As will be shown, certain combinations of regular polygons cannot be extended to a full tiling of the plane without involving additional shapes, such as rhombs. The site contains some commentary on Renaissance research on this subject carried out by two renowned figures, the mathematician-astronomer Johannes Kepler and the artist Albrecht Dürer.*[more inside]## Additive-noise methods

How to tell correlation from causation - "The basic intuition behind the method demonstrated by Prof. Joris Mooij of the University of Amsterdam and his co-authors is surprisingly simple: if one event influences another, then the random noise in the causing event will be reflected in the affected event."

## Fake 3D Until You Make 3D

Louis Gorenfeld lovingly explores the mathematics and techniques behind early, pseudo-3D games. [more inside]

## Sacred Typography

## "Science is when you think a lot."

Two enjoyable chapters [PDF, 33 pages] from the book

*Math from Three to Seven: The Story of a Mathematical Circle for Preschoolers.*"This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children."## Still Combining Numbers On A Grid To Get Bigger Numbers, But Different

## It's too early on a Monday morning for this hot math nonsense, come on

## The Saddest Thing I Know about the Integers

The integers are a unique factorization domain, so we can’t tune pianos. That is the saddest thing I know about the integers. [more inside]

## Rainy Day

Pencil and Paper Games

*is devoted to games you can play with nothing more than a pencil and a piece of paper*(some of which can be played on the site, for those who do not have access to a pencil and paper, or remember what those are.) [more inside]