[Thomas Hobbes] was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman’s library, Euclid’s *Elements* lay open, and “twas the 47 El. libri I” [Pythagoras’ Theorem]. He read the proposition . “By God,” sayd he, “this is impossible.” So he reads the demonstration of it, which referred him back to such a proposition; which proposition he read. That referred him back to another, which he also read. *Et sic deinceps*, that at last he was demonstratively convinced of that trueth. This made him in love with geometry.

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.

I cannot even begin to describe how much you’ve taught and continue to teach me through your videos. I’m going into year 12 this year and I feel like your way of teaching is so ‘crystal clear’ to me so thank you so much! Too bad you can’t be my teacher I’ve recently watched you playlist for derivatives and those videos are amazing! … Continue to make awesome videos because you’re a legend.

Chelsea N (student, 2015, in private discussion about CCM YouTube videos, with permission)

- 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