From the complexity of the snowflake, to the London tube map and the spiralling Andromeda galaxy, imagery has always been a vitally important ingredient of science. Plus talks to John Barrow, professor of mathematics at Cambridge University and author of the new book Cosmic Imagery, about the images that have changed science, and how we have viewed science, over the
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Walter Warwick Sawyer was a mathematician and author who made a major contribution to mathematical education. He recently passed away in Canada, aged 96. He was very much concerned with the practical applications of mathematics and considered that students taught mathematics without an appreciation of its application would have no more understanding of what they were learning than a machine.
His love of mathematics is seen in the title of his first book, the highly acclaimed Mathematician's Delight, whose aim was to "dispel the fear of mathematics".
It is common belief among teachers and parents that when teaching mathematical concepts, the best way to illustrate them is with 'real-world' examples. However, researchers at Ohio State University's Center for Cognitive Science have found the exact opposite — that college students taught a new mathematical concept with real-world, concrete examples
were less able to apply their knowledge to new situations than students taught with abstract symbols.
There are more grains of sand on Earth than there are stars in sky, or so the saying goes.
Mathematician Anne Fey, from Vrije Universiteit Amsterdam, is using sand-pile models as a novel approach to calculate probabilities in fields as diverse as studies of the Earth's crust, stock market fluctuations and the formation of traffic jams.
The European Space Agency is looking for recruits, and it seems that good mathematical abilities can help you rise to the top of the heap. 50,000 applications are expected for the four positions on offer to be astronauts on the International Space Station.
BBC News Magazine has detailed all the boxes you need to tick to be in the running in their story So what is the right stuff? Apart from being young (between 27 and 37) and having life experience, you need patience, bravery, to work well in a team and in a strange
environment, and be psychologically capable of dealing with the stresses (and the loneliness) of the job.
On top of this, you need to be at least degree qualified in engineering, science, medicine or maths. So, if you're a maths grad and this sounds like you, see the ESA careers page.