Maths and Evolutionary Biology
Maths and Evolutionary Biology Mathematics is often utilised across many fields - lets look at an example from biology, evolutionary biology and paleontology, in trying to understand the development of...
View ArticleTime dependent gravity exploration
Time dependent gravity exploration In our universe we have a gravitational constant - i.e gravity is not dependent on time. If gravity changed with respect to time then the gravitational force exerted...
View ArticleThe Holy Grail of Maths: Langlands. (specialization vs generalization).
https://www.youtube.com/watch?v=4dyytPboqvE This year's TOK question for Mathematics is the following: "How can we reconcile the opposing demands for specialization and... Continue Reading →
View ArticleThe Monty Hall Problem – Extended!
https://www.youtube.com/watch?v=mhlc7peGlGg A brief summary of the Monty Hall problem. There are 3 doors. Behind 2 doors are goats and behind... Continue Reading →
View ArticleThe Perfect Rugby Kick
https://www.youtube.com/watch?v=rHdYv62F5fs The Perfect Rugby Kick This was inspired by the ever excellent Numberphile video which looked at this problem from... Continue Reading →
View ArticleWhat is the average distance between 2 points in a rectangle?
What is the average distance between 2 points in a rectangle? Say we have a rectangle, and choose any 2... Continue Reading →
View ArticleGalileo’s Inclined Planes
Galileo's Inclined Planes This post is based on the maths and ideas of Hahn's Calculus in Context - which is... Continue Reading →
View ArticleThe Holy Grail of Maths: Langlands. (specialization vs generalization).
https://www.youtube.com/watch?v=4dyytPboqvE This year's TOK question for Mathematics is the following: "How can we reconcile the opposing demands for specialization and generalization in the production...
View ArticleThe Monty Hall Problem – Extended!
https://www.youtube.com/watch?v=mhlc7peGlGg A brief summary of the Monty Hall problem. There are 3 doors. Behind 2 doors are goats and behind 1 door is a car. You choose a door at random. The host...
View ArticleClik here to view.
The Perfect Rugby Kick
The Perfect Rugby Kick This was inspired by the ever excellent Numberphile video which looked at this problem from the perspective of Geogebra. I thought I would look at the algebra behind this. In...
View ArticleClik here to view.
What is the average distance between 2 points in a rectangle?
What is the average distance between 2 points in a rectangle? Say we have a rectangle, and choose any 2 random points within it. We then could calculate the distance between the 2 points. If we do...
View ArticleClik here to view.
The Barnsley Fern: Mathematical Art
The Barnsley Fern: Mathematical Art This pattern of a fern pictured above was generated by a simple iterative program designed by mathematician Michael Barnsely. I downloaded the Python code from the...
View ArticleClik here to view.
Galileo’s Inclined Planes
Galileo’s Inclined Planes This post is based on the maths and ideas of Hahn’s Calculus in Context – which is probably the best mathematics book I’ve read in 20 years of studying and teaching...
View ArticleClik here to view.
Time dependent gravity and cosmology!
Time dependent gravity and cosmology! In our universe we have a gravitational constant – i.e gravity is not dependent on time. If gravity changed with respect to time then the gravitational force...
View ArticleClik here to view.
Envelope of projectile motion
Envelope of projectile motion For any given launch angle and for a fixed initial velocity we will get projectile motion. In the graph above I have changed the launch angle to generate different...
View ArticleClik here to view.
Modelling the spread of Wuhan Flu (Coronavirus)
Using Maths to model the spread of The Chinese Coronavirus (Wuhan flu) The Wuhan coronavirus is the latest virus to warrant global fears over a disease pandemic. Throughout history we have seen...
View ArticleClik here to view.
Waging war with maths: Hollow squares
Waging war with maths: Hollow squares The picture above [US National Archives, Wikipedia] shows an example of the hollow square infantry formation which was used in wars over several hundred years....
View ArticleClik here to view.
Normal Numbers – and random number generators
Normal Numbers – and random number generators Numberphile have a nice new video where Matt Parker discusses all different types of numbers – including “normal numbers”. Normal numbers are defined as...
View ArticleClik here to view.
Volume optimization of a cuboid
Volume optimization of a cuboid This is an extension of the Nrich task which is currently live – where students have to find the maximum volume of a cuboid formed by cutting squares of size x from...
View ArticleClik here to view.
Zeno’s Paradox – Achilles and the Tortoise
Zeno’s Paradox – Achilles and the Tortoise This is a very famous paradox from the Greek philosopher Zeno – who argued that a runner (Achilles) who constantly halved the distance between himself and a...
View Article![Cloonee, Yandel & ATLAC – Movimiento – Single [iTunes Plus M4A]](http://i.imgur.com/Q8tO40p.jpeg)
