November 24th, 2012
Micky
This post tells the story of my trip to Alicante, Spain in October 2012 to deliver the opening lecture at the 10th Conference on Mathematical Education, held at the University of Alicante and organised by the Societat d’Educacio Matematica Comunitat Valenciana (SEMCV) Al Khwarizmi. The talk was entitled, “The Value of Dynamic Geometry in Modern Education and Problem Solving in GeoGebra.”
Read more…
Click the animation to link to GeoGebraTube
(Opens in a new window/tab).
Calculate monthly repayments based on the amount you are borrowing and over how many years you wish to repay it.
or
Calculate how many years it will take to repay your mortgage based on the amount you are borrowing and your monthly budget.
February 11th, 2012
Micky
Click the image to link to GeoGebraTube
(Opens in a new window/tab).
Fully interactive: A geometric representation of the binomial expansion
Control parameters a,b,n in the function f(x)=(a+bx)n
Also control the number of terms in the binomial expansion.
The applet shows the correct function (black) alongside the binomial expansion of the function (green).
It also clearly shows the bounds (x-values) for which the expansion is valid.
Read more…
Click the image to link to GeoGebraTube
(Opens in a new window/tab).
User-friendly applet designed with perfection and aesthetics in mind.
Play with the checkboxes and X points. Those with a grounding in projectile mechanics will find it is self-explanatory.
You can select: angle of elevation OR range OR an airborne target, for any speed of projection and strength of gravity.
The applet shows the possible trajectories under the given constraints.
The applet also animates balls projected at the selected angle of elevation.
Click the image to link to GeoGebraTube
(Opens in a new window/tab).
.
This applet displays tangent fields and coloured gradient fields for general solutions of explicitly defined 1st order ODE’s (i.e. dy/dx = …..)
It also displays the particular solution curve; you can set the boundary condition by dragging the blue point. [Euler's numerical method is used with error correction]
The applet also shows isoclines where possible [dy/dx=f(x,y) must be polynomial in x and y]
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…
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.
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…
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…
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…
