Maths Resources (page 42)
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Differentiation at the basics
I`m a big advocate of looking at this - given time I always try and fit this into my A level maths lessons. The reason being it gives a real sense of why differentiation works.
Unf...

You can be good at Mathematics
10 Easy Steps to be a genius at Mathematics:
1. First, very important thing is not to try to solve the exercise too quickly. Most people are too quick to start writing, without ha...

Algebra of commuting and associative objects
Any set of objects together with a set of rules of allowable operations (such as multiplication or division) that behaves in an internally consistent ("closed") manner is ca...

From Real to hyper complex numbers
Clifford Lie Algebra of Hyper Complex Numbers
The group of transformation matrices from which a "spinor" is realised is related to a set of "Hyper-complex" numbers discovered by H...

The lucky linearity of Quantum Mechanics
Classically, the universe behaves in a weakly chaotic manner. All it`s clockwork-like cyclicality is mostly illusory. The apparent simple periodicity observed in the universe belies a...

Multiplication Tricks
There are a lot of tricks to multiply numbers in your head more quickly - read on to discover a few!
Multiply by 9:
Use your hands! To multiply 7 by 9 hold your hands in front...

The Golden Ratio
What is the Golden Ratio?
It is a numerical ratio found in Nature, Music, Art, Biology and many more aspects of life. Plants arrange their structure according to this number. Art i...

Factorising Quadratics
One of the most important pieces of maths you`ll learn at GCSE and A Level is factorising a quadratic. Most methods taught by teachers are cumbersome and not intuitive at all - this c...

Mathematics & Pedagogy - Solving Quadratics
A quadratic expression is the form ax2 + bx + c where a, b, c, are constant. The simplest quadratic form is when a=1 so we have x2 + bx + c. There are a number of different teaching m...

The Development of Algebra
1. In the beginning ...
Knowledge about the possible beginnings of human mental development comes from research on the co-evolution of language and the human brain. The central ide...
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