Monthly Archive: March 2015

Thinking about Probability

Probability is all about counting. The basic problem in probability is to work out how likely something is by counting how many ways it can happen, and then comparing that number to how many ways any ways anything can happen. …

Recurring decimals are cool!

I was thinking about maths teaching the other day (I’m sure you’ll not be surprised to know this is something I often do) and in particular about the different approaches teachers bring to the subject. Teaching maths is a challenge …

Solving Equations

A typical maths textbook presents equation solving in a very ordered, structured way. Starting with one-step equations such as 3x=6, they introduce the single step solution process

    \begin{eqnarray*} 3x & = & 6 \\ \color{red}{\scriptstyle \div 3} & & \color{red}{\scriptstyle\div 3} \\ x & = & 2 \end{eqnarray*}

before moving onto two-step equations such as 3x-3=12. For these equations …

Expanding Binomial Products

Welcome to the first mathematical post in The Mathenæum Blog. In this post, I have chosen to discuss expanding binomial products, because in many ways binomial products act as a bridge between elementary algebraic work, and more advanced applications …

Welcome to The Mathenæum Blog

Welcome to the The Mathenæum Blog — companion site to my mathematics learning and exploration website The Mathenæum.

Although I am not teaching at the moment, I have not lost my interest in mathematics education, or the strong desire …