This is a mini investigation based on the current Nrich task Farey Sequences. As Nrich explains: I’m going to look at Farey sequences (though I won’t worry about rearranging them in order of size). Here are some of the first Farey sequences. The missing fractions are all ones which simplify to a fraction already on […]

Modelling Chaos This post was inspired by Rachel Thomas’ Nrich article on the same topic. I’ll carry on the investigation suggested in the article. We’re going to explore chaotic behavior – where small changes to initial conditions lead to widely different outcomes. Chaotic behavior is what makes modelling (say) weather patterns so complex. Let’s start […]

Modelling tides: What is the effect of a full moon? Let’s have a look at the effect of the moon on the tides in Phuket. The Phuket tide table above shows the height of the tide (meters) on given days in March, with the hours along the top. So if we choose March 1st (full […]

Circular Motion: Modelling a ferris wheel This is a nice simple example of how the Tracker software can be used to demonstrate the circular motion of a Ferris wheel. This is sometimes asked in IB maths exams – so it’s nice to get a visual representation of what is happening. First I took a video […]

The Folium of Descartes The folium of Descartes is a famous curve named after the French philosopher and mathematician Rene Descartes (pictured top right). As well as significant contributions to philosophy (“I think therefore I am”) he was also the father of modern geometry through the development of the x,y coordinate system of plotting algebraic […]

Project Euler: Coding to Solve Maths Problems Project Euler, named after one of the greatest mathematicians of all time, has been designed to bring together the twin disciplines of mathematics and coding. Computers are now become ever more integral in the field of mathematics – and now creative coding can be a method of solving […]