A typical interview question is, “Can you tell me about a really good lesson you have taught, and say what made it so good?” I’m used to that one and I always have one in mind before I go to an interview.
The last time I went for an interview though, they really threw me. “Can you tell us about a really bad lesson you have taught, and what you learnt from it?” I wasn’t expecting that. Quite apart from the fact that nobody ever wants to share their failures, it’s a hard question to answer. Like most teachers I finish every lesson thinking, “I wish I could teach that all over again – I could do it so much better next time.” How do you choose one from so many like that? I decided to talk about the first lesson I ever taught as a trainee teacher as I don’t think lessons get any worse than that particular one.
I knew what my lesson objective was, and I had thought really carefully about what independent activities I wanted the class to do to practise the learning objective. What I hadn’t considered enough, was how I was going to break down the learning objective to allow them to achieve it. The result was a shambles. I threw far too much information at them in one go, and then set them off on their first task.
Of course, they didn’t understand and the noise level rose as they asked each other what to do. I got frustrated because nobody was working. They were frustrated because I was telling them to be quiet and just get on with it, but they couldn’t. By the end of the hour every child in that class hated me, and they were my least favourite class for the rest of my placement.
But I did take away a very important lesson of my own from that experience, and the first bit of advice I would give any trainee teacher going into the classroom for the first time is this:
The lesson objective is what the class should achieve by the end of the lesson. They are not going to be able to do it after the first ten minutes of the lesson – if they can then your expectations are not high enough. You need to plan a series of small steps for them to take throughout the lesson so that by the end they can look at the lesson objective and say, “Yes – I can do that.”
I’ve never made that mistake again, and now whenever I teach I think about my particular children and plan how to break the objective down for those particular children.
Earlier this year I discovered the joy of podcasts – I know, I know, I’m later than most! – but I’ve really enjoyed the freedom of being able to listen to them anytime and anywhere.
I’m not a GCSE teacher so I can’t vouch for the quality of these maths podcasts, but you may find them useful.
Revise GCSE maths
Maths-it – Foundation GCSE
When I was a child, if I ever got frustrated at doing something wrong my dad would tell me not to worry because I’d learned twice as much as if I done it right: I’d learned how not to do it as well as how to do it! He was right. Sometimes doing something wrong first makes the right way to do it far more memorable.
I once watched a Year 6 pupil plot a graph of the temperature during one day where he had put the time up the y axis and the temperature along the x axis. I saw the confusion on his face when the graph line took an unexpected twist, but I said nothing and let him finish.
Afterwards I asked him what he had done wrong. He wasn’t sure, so I asked him instead what he was sure he had done right. We reinforced the fact that he had chosen a sensible scale to draw the graph, that he had remembered to label the axes, that he had given the graph a title, that he had correctly read the information from the table, and that he had correctly transferred this information to the graph.
I then asked him if he had done all these things correctly, what made him so sure that something was wrong. He twisted the page round and said “Because I expected the line to be this shape.” I asked him what he could change to make the graph the shape he expected it to be, and the penny dropped that he needed to put time on the x axis. I then made him redo the whole graph.
I could have stopped him at several points during the session – when he first explained how he was going to draw the graph, when he labelled the axes, when he first realised that the point he had just plotted wasn’t where he expected it to be – and prevented him from going wrong, but is being told you are about to make a mistake as memorable as seeing the result of something you have done wrong and having to work out how to do it right? I don’t think so. If I had stopped him, I think it is possible he would have made the same mistake again in the future.
At no point was he allowed to feel silly for making a mistake – just the opposite, I emphasised everything he had done right. As he was redrawing his graph he said, “Sally-Jayne, I’m never going to make this mistake again!” And do you know what? I don’t think he ever will.
I hate nets! I just really don’t have the sort of brain that can fold things in my head to see what happens to them. Lucky then that there is a website that does it for me! National Council of Teachers of Mathematics