Can this get any more fun…?
Here is some stuff about the binomial theorem.
What happens when the rate of change of x depends on the value of x itself?
Discover some answers here.
SQA – NQ – Past Papers and Marking Instructions. It’s worth taking a particular look at the rules which examiners have to follow.
Some background material on vectors and matrices.
What happens when you try to take the square root of -1?
Here are some useful examples.
Richard Feynman describes how much fun it is to think up explanations of the physical world.
Where does PV=nRT , the ideal gas equation, come from?
Here is a nice explanation.
This is my favourite wired.com blog.
I really admire Rhett Allain’s enthusiasm and his willingness to try out explanations of physical phenomena -very publicly.
This gives a clear insight into how physicists (and engineers and applied mathematicians ) think. There is a great deal of working through thought experiments and iterating towards a theory which accounts well for the known observations.
Definitely worth a read-through.
Here is an online magazine with some really great content -from introductory to quite advanced. A good source of ideas and explanations.
Here‘s maths teacher Dan Meyer talking about how to get people buying into maths problems by asking a simple question and removing all the spoon-feeding steps (including plugging numbers into formulae).
This man is super-enthusiastic, as well as a very clear thinker.