Archive for the ‘Uncategorized’ Category

Relative Age Effect

March 3rd, 2015 No comments

Does your child have a better chance of getting into the top ability set for Mathematics if they were born nearer the beginning of the academic year?

5 years ago I read Outliers by Malcolm Gladwell. The blurb states that “if we want to understand how some people thrive, we should spend more time looking around them – at such things as their family, their birthplace, or even their birth date.” He argues how the Relative Age Effect gives advantage to those born nearer the beginning of the year (academic year or sports season). Since reading the book I have wondered whether this phenomenon is in effect in the ability setting of Mathematics pupils in their lower secondary years, i.e. at the age of 12. And now we have the data to be able to answer this question…

Read more…

Instructions: Using an iframe to embed a GeoGebra worksheet in a WordPress blog post

July 12th, 2011 4 comments

1. From the WordPress Dashboard, install a plugin that enables iframes to be embedded into posts, for example Embed Iframe. (Simple instructions for installing plugins into WordPress may be found here) Read more…

Pythagoras’ Theorem works with Negative Length

March 31st, 2011 1 comment

When taking square roots of both sides of an equation, one should be careful not to turf out the negative result without first considering whether it has a true meaning.  When using Pythagoras’ Theorem, the last step is to take square roots. So, can we have a hypotenuse with length -5?

Read more…

Using the mean to find the mode of a Binomial Distribution

March 20th, 2011 No comments

The original motivation behind this investigation was an attempt to save my Statistics students a few precious seconds in their upcoming S1 module paper.

The mean or expectation of a Binomial Distribution is always very close to mode, (the value of X that has greatest probability). I want to know if you can use the mean to reliably predict the mode.

Read more…

Money, Debt & Greed – A Brief Commentary

March 9th, 2011 1 comment

On Friday I will be talking in our school chapel. Here is the penultimate draft of the monologue (the style does lend itself to being read out loud)

Good morning.

I want to talk to you today about our monetary system.  Most, perhaps all, of us here at Forest School have benefited from the monetary system.  Money affords us food, entertainment, transport, holidays; a place to live; stability.  Money creates incentives; it gives us jobs, careers and aspirations; and taxes allow huge investments like high-speed rail links and the Olympic park.

But does everyone benefit from our monetary system?

We’re born into a society of which money seems to be the driving force.  Where does money come from? Who gives us it to spend?

Read more…


March 9th, 2011 1 comment

Please forgive my appalling lack of posts in recent months.  I’ve been working on a project with the above name, which seeks to place cameras in objects that can rotate on any axis, a football for example!  Exciting stuff, but I can’t share the maths with you on here.


November 29th, 2010 1 comment

Tonight I made these instead of tidying my flat

How Mandelbrot’s fractals changed the world

October 18th, 2010 No comments

In 1975, a new word came into use, when a maverick mathematician made an important discovery. So what are fractals? And why are they important?

BBC News – article

‘Fractal’ mathematician Benoit Mandelbrot dies aged 85

October 17th, 2010 No comments

Mandelbrot developed fractals as a mathematical way of understanding the infinite complexity of nature.

The concept has been used to measure coastlines, clouds and other natural phenomena and had far-reaching effects in physics, biology and astronomy.

Full Story – BBC News

I’m Singin’ in the Rain…

October 15th, 2010 14 comments

You may have heard someone ask this question before.  You may have even pondered it yourself.

You need to get from A to B on foot, in pouring rain, without an umbrella (and without singing).
Presuming you want to get as little wet as possible, is it better to run or walk?

By setting up a simplified mathematical model we can answer this question, and soon a solution will be made available.

In the meantime, we want your ideas!

If you want to submit a well-presented mathematical solution, it will be considered to be formally added to the post.

But of course, all comments are welcome, so please leave your suggestions below.

Roberto Carlos wonder goal ‘no fluke’, say physicists

September 3rd, 2010 1 comment

Physicists have explained one of football’s most spectacular goals.

More importantly, the mathematics of infinity features in a BBC News report!

Full story: BBC News website Read more…