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…

GeoGebra: Binomial Distribution Applet with Normal Approximation

June 6th, 2011 1 comment
Click the image to link to GeoGebraTube
(Opens in a new window/tab).

This applet is for visualising the Binomial Distribution, with control over n and p.

It also shows the Normal Approximation curve (and how this approximation breaks down for large or small p)

You can show critical regions at either end by turning the bars red instead of green – this feature is purely for visualising critical regions when performing hypothesis tests with the binomial distribution (you still have to calculate the critical regions yourself). I hope to automate this too in a future version of the applet.

GeoGebra: Probability Venn Diagram with Proportionally-Sized Regions

May 31st, 2011 No comments
Click an image to play! (Opens in a new window/tab)
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Pythagoras’ Theorem works with Negative Length

March 31st, 2011 No comments

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 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 or 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…

Ballcam

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.

Mathart

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