People don’t rise from nothing. We do owe something to parentage and patronage. The people who stand before kings may look like they did it all by themselves. But in fact they are invariably the beneficiaries of hidden advantages and extraordinary opportunities and cultural legacies that allow them to learn and work hard and make sense of the world in ways others cannot. It makes a difference where and when we grew up. The culture we belong to and the legacies passed down by our forebears shape the patterns of our achievement in ways we cannot begin to imagine. It’s not enough to ask what successful people are like, in other words. It is only by asking where they are from that we can unravel the logic behind who succeeds and who doesn’t.

School classrooms can be exceedingly difficult places in which to learn mathematics well.

Teachers vary in passion and ability (as is natural); class behaviour and attitudes (and bullying) can alter the learning environment radically; learning in a large group at the same speed and with little opportunity to receive one-on-one help leads to boredom or frustration for many/most students; textbooks vary in quality and frequently lack stimulating material (because publishers restrict the size of the books); and sometimes students are negatively influenced by parents and peers who share their own bad experiences or attitudes.

Home educators, too, often feel that they lack sufficient understanding to teach their children mathematics … and the resources that they have access to can sometimes be bland, unstimulating, and even poorly explained or constructed.

My wife and I home educated our daughter and I have taught and tutored mathematics for many years. I am aware of the difficulties listed above and have often been asked by students and parents to create a website to share my understanding and resources with others. *Crystal Clear Mathematics* is the result.

Because this medium is not interactive (in the sense of allowing immediate interaction between you and me) I cannot provide the quality of tutition that I would like to offer you … but I hope you find the videos and the supporting files to be useful none-the-less.

This website and its associated FaceBook page and YouTube channel were all launched on Tuesday 20 November 2012.

all my questions about chain rule were answed by this video, it very helpfull to me

Thamsanqa C (on a CCM YouTube video about the Chain Rule)

- Improve your Number Skills
- Lots of Ways to Subtract Numbers
- Number Games
- Finding Areas Made Very Simple
- Trigonometry
- Linear Equations
- Quadratic Equations and Their Parabolas
- How to Memorise Mathematical Formulae
- Graphing Polynomials and Hyperbolae
- Derivatives (Calculus) Made Simple
- Integration
- Jim Coroneos 100 Integrals
- Combinatorics (The Art of Counting)
- Probability
- Statistics
- Puzzles
- Mathematical Humour
- Conundrums in Mathematics
- How to Study