background preloader

TOK Math

Facebook Twitter

The story of the Gömböc. September 2009.

The story of the Gömböc

Mathematics: Why the brain sees maths as beauty. Brain scans show a complex string of numbers and letters in mathematical formulae can evoke the same sense of beauty as artistic masterpieces and music from the greatest composers.

Mathematics: Why the brain sees maths as beauty

Mathematicians were shown "ugly" and "beautiful" equations while in a brain scanner at University College London. The same emotional brain centres used to appreciate art were being activated by "beautiful" maths. The researchers suggest there may be a neurobiological basis to beauty. The Monty Hall Problem. Leonhard Euler honoured by Google doodle. The birth of the Swiss mathematician Leonhard Euler has been celebrated by Google with the publishing of an interactive Google doodle.

Leonhard Euler honoured by Google doodle

Euler was arguably the most important mathematician of the 18th century and one of the greatest of all time. He introduced most modern mathematical terminology and notation and was also renowned for his work in mechanics, fluid dynamics, optics, and astronomy. Euler was born in Basel on 15 April 1707. He was tutored by Johann Bernoulli, a family friend who was also Europe's leading mathematician. When Euler's father tried to make him become a pastor, Bernoulli persuaded him that his son had the potential to be a great mathematician. He travelled to Russia, where he prospered until foreign intellectuals became unpopular and he moved to Berlin.

IB Maths ToK (theory of knowledge) for the IB student - Standard Level (SL) and Higher level (HL) LockhartsLament.doc. Robert Lang: The math and magic of origami. Why We Love Beautiful Things. Large cardinals: maths shaken by the 'unprovable' New Largest Prime Nunber. TOK & Mathematics. Theory of Knowledge » Maths. Mathematics This week we are starting the Maths unit!

Theory of Knowledge » Maths

Remember to submit your Sciences reflection next week to your teacher – teachers will have specified their individual deadlines. Click INTRODUCTION TO MATHEMATICS Maths reflection Answer ONE of the following questions on Maths in 300-400 words. Maths « TOKmowbray. BBC: Slideshow: The art of mathematics. To the untrained eye, these vivid images might appear to be random sets of colourful swirls and circles.

BBC: Slideshow: The art of mathematics

But they are in fact precise visual representations of mathematical theory known as dynamical systems. Some of the images - created by mathematicians from across the world - have gone on display at the University of Liverpool. Steven Strogatz on the Elements of Math - Series. From Fish to Infinity. I have a friend who gets a tremendous kick out of science, even though he’s an artist.

From Fish to Infinity

Rock Groups. The Hilbert Hotel. In late February I received an e-mail message from a reader named Kim Forbes.

The Hilbert Hotel

Her six-year-old son Ben had asked her a math question she couldn’t answer, and she was hoping I could help: TEDxTeen - Jacob Barnett: Forget What You Know. On the Nature of Mathematics. One of the oldest of all fields of study is that now known as mathematics.

On the Nature of Mathematics

Often referred to, used, praised, and disparaged, it has long been one of the most central components of human thought, yet how many of us know what mathematics really is? Many have likened it to a language, while others claim it is a science, and a few more an art. In truth, it stands in a category all by itself, yet it incorporates aspects of those three and more. Math in Nature. Animation reveals the world's hidden equations. MacGregor Campbell, contributor Although they don't actually exist in the physical world, our most powerful tools could be mathematical equations.

Animation reveals the world's hidden equations

They underlie much of modern technology, from radio to power generation, to photo compression and electronic musical instruments. In our latest animated explainer, we look at how the wave equation, Maxwell's equations and the Fourier transform came to rule the modern world. To find out more, read our full-length feature, "Seven equations that rule your world". The pulling power of chaos. What is the most efficient way to get a space probe to its target?

The pulling power of chaos

When Apollo 11 went to the moon in 1969 it followed a conventional Hohmann transfer orbit. Imagine an egg-shaped outline, with the earth at the bottom. As the spacecraft comes up the left-hand side, it burns fuel to accelerate, and swings into orbit around the moon. TOKnow-11 - Where Art Thou Mathematics? Mathematics as a Language. Blake wrote: "I have heard many People say, 'Give me the Ideas. It is no matter what Words you put them into.'" To this he replies, "Ideas cannot be Given but in their minutely Appropriate Words. " Dangerous Knowledge. In this one-off documentary, David Malone looks at four brilliant mathematicians - Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan Turing - whose genius has profoundly affected us, but which tragically drove them insane and eventually led to them all committing suicide.

The film begins with Georg Cantor, the great mathematician whose work proved to be the foundation for much of the 20th-century mathematics. Podcasts - A Brief History of Mathematics. The Story of Maths DVD. Lucky numbers: Marcus du Sautoy explains the mathematics of chance - video. Marcus du Sautoy: Symmetry, reality's riddle. He called it, and now Silver's a pop-culture star.

What do Christian fundamentalists have against set theory? I've mentioned here before that I went to fundamentalist Christian schools from grade 8 through grade 11. I learned high school biology from a Bob Jones University textbook, watched videos of Ken Ham talking about cryptozoology as extra credit assignments, and my mental database of American history probably includes way more information about great revival movements than yours does. In my experience, when the schools I went to followed actual facts, they did a good job in education. Small class sizes, lots of hands-on, lots of writing, and lots of time spent teaching to learn rather than teaching to a standardized test.

But when they decided that the facts were ungodly, things went to crazytown pretty damn quick.