Wikipedia tells me that the word “equals” derives from the Latin word “æqualis,” meaning “uniform”, or “identical”, which itself stems from aequus (“level”, “even”, or “just”). The equals sign – a pair of parallel lines, one above the other – apparently originated with a Welsh mathematician, Robert Recorde, in 1557. Bored of writing out “is equal to” again and again, he used a pair of parallel lines to stand instead.
Recorde wrote: “And to auoide the tediouſe repetition of theſe woordes : is equalle to : I will ſette as I doe often in woorke vſe, a paire of paralleles, or Gemowe lines of one lengthe, thus: =, bicauſe noe .2. thynges, can be moare equalle.” In modern English, this roughly translates to: “And to avoid the tedious repetition of these words: “is equal to” I will set as I do often in work use, a pair of parallels, or duplicate lines of one [the same] length, thus: =, because no 2 things can be more equal.”
Recorde called his new symbol – a much longer pair of parallel lines than we are now used to – “Gemowe lines.” The word “Gemowe” means “twin,” from the same root as the star sign “Gemini.” What Recorde has captured in his new symbol was the idea that the two lines are not the same – one is above the other, and one below – but they are of the same value. The are worth the same. They are equally valuable – equivalent.
We have been thinking carefully about what equality means in education. We are not all the same – each of us is unique. Achieving equality of opportunity does not mean giving everyone the same treatment – as shown in the left hand picture above. Some people need extra help or support to achieve – as shown in the middle picture – and as a school we work hard to put that in place wherever it is needed.
Our ultimate goal is to remove the barriers that stand in the way of achievement and progress, so that our students can set no limits on what they can achieve. This is illustrated in the picture on the right. We know that this is challenging, and that some of the barriers are beyond our control. We know that we can’t always achieve it on our own – but that doesn’t mean we shouldn’t try.
I recently visited a maths lesson and saw another expression of “equality.” The teacher was guiding the students through solving algebraic equations to find the value of x. Something like this:
2x2 + 12 = 44
Students volunteered to take the class through the process of solving the equation to find the value of x. The first step was to subtract 12, from both sides of the equation, to leave 2x2 = 32.
The teacher asked: “why do you need to take 12 from both sides of the equation?” The answer emerged: because both sides have to equal the same amount. If you only took 12 away from the left hand side, then they wouldn’t be equal.
The Year 8 mathematicians went on to divide both sides of the equation by 2, leaving x2= 16, before taking the square root of both sides and concluding that x=4.
After I had visited the lesson, I kept thinking about the idea of equality – in mathematics, in education, in society. 2x2 + 12 is not identical to 44 – the two sides of the equation look very different. But they have the same value. Our students are all different too, each with their own unique qualities, needs and circumstances. Their differences make them unique, and it is this uniqueness which provides the richness of our community. But every single child matters: they are all Churchill students. They are all part of the whole, all of equal value; they all belong equally.
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