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".
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
This podcast is also available in an enhanced version, which shows all the images mentioned in this podcast as you listen. You can view the enhanced podcast in your browser, or download the MP4 file to to your computer and for playing on your MP4 player (for example iPod).
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.
Contrary to recent press reports, NASA offices involved in near-Earth object research were not contacted and have had no correspondence with a young German student, who claims the Apophis impact probability is far higher than the current estimate.
This student's conclusion reportedly is based on the possibility of a collision with an artificial satellite during the asteroid's close approach in April 2029. However, the asteroid will not pass near the main belt of geosynchronous satellites in 2029, and the chance of a collision with a satellite is exceedingly remote.
Therefore, consideration of this satellite collision scenario does not affect the current impact probability estimate for Apophis, which remains at 1 in 45,000.