My teacher has given up on teaching me maths. She teaches; I sit at the back and teach when she’s busy. I’m fourteen - this is not a good system.
For the past few lessons, a new teacher sits at the back with me. Instead of talking through a new concept in great detail, hoping I’ll understand it, and making me memorise it (as is the normal teaching method), she gives me a fairly basic statement and then sets a task that I will have to figure out by applying my own knowledge.
For instance, today (pictured) she told me that the equation for drawing a circle on a graph with a centre on (0, 0) is x^2+y^2=r^2 . Then, she asked me to express it in terms of y, make the origin (3, 3.5), and then put it back into terms of r.
She could have told me exactly how to do it, but she didn’t. I had to rely on my own knowledge, so it wasn’t just a memorisation exercise, or repetition. It felt like I was discovering it for the first time in human history - utterly fantastic. It helped that my working can be huge, so we have whiteboard pens on tables (sometimes entire tables and chairs) and special window pens instead of just biros and books.
My point: this shouldn’t just be teaching ‘harder’ maths to ‘more-able’ pupils. It’s not an impossible method; I have talked my friends through the working and they can follow it and predict the next moves. This should be available to anyone who wants it, for more simple concepts too.
Area? Perimeter? Fractions, ratios, percentages? All become instantly more interesting and memorable. You feel proud for discovering something by yourself or with a little guidance, instead of depressed at the thought of more meaningless equations to memorise.
I understand that it would be hard to implement. Some would muck about, and it does need very small groups, if not a one to one basis. However, maths grades and maths-related stress would be so far down.
TL;DR: I have great maths lessons, and so should you.