This week’s MEd session was all about ICT in the classroom. We were asked last week to think about anything we could present on the topic for the other students, and I thought it made sense for me to talk about the way NRICH promote ICT in the mathematics classroom so I put together a few ideas for a five minute talk. It makes sense to write those ideas up here so they are not lost.

Firstly I made the point that as a web-based project NRICH is dependent on ICT to get its resources to its audience, but once they have visited the website, for a lot of the problems the teacher needs nothing more complicated than a board and pen/chalk to introduce the tasks. For others, there will be printable resources that can be handed out. But it is the problems with interactive elements that seem to raise the most interesting questions in terms of ICT use in the classroom.

One of my favourite interactive resources is Dozens. The interactivity allows students to keep trying, getting feedback if they get it wrong, and to generate unlimited examples at each stage. There are levels of difficulty corresponding to divisibility by two, three, four and six. Once students are confident with the mathematics, there is a final challenge to work on with pencil and paper. I like this resource because the feedback allows a whole class of students to work at their own rate without relying on the teacher to tell them how they are doing.

Charlie’s Delightful Machine also offers students the chance to work on unlimited examples that are different each time, but that’s not why I like it. The coloured lights in the problem are an enticing hook to draw students in, and the mathematics needed to completely solve the problem of when it’s possible to turn all four lights on is quite sophisticated. Again, there is the opportunity for students to work individually on the problem before the teacher brings the class together and draws out discussion points.

GOT IT is an old NRICH favourite. Again, there is the opportunity for students to work on their own and get feedback from the computer, perhaps studying the computer’s strategy and trying to work out why it works. One nice technique that we suggest in the teachers’ notes to several problems is to set a challenge, in this case something along the lines of “In a while, I will stop you and set up a game with a different target and maybe the numbers from 1-6 or 1-7, I haven’t decided yet. You need to have a strategy so that you can quickly work out the best way of winning my game, whatever it is.” This forces students to generalise, as they are being asked to come up with a way of solving an as yet unknown case.

Regular visitors to NRICH may have noticed a few videos appearing lately. This problem is a new version of something published on the site some time ago. There is a lot of power in showing children something in silence and inviting them to make sense of it. Of course, the teacher could demonstrate what’s in the videos on the board, but by showing the videos it removes the teacher’s position as the expert who knows what’s going on – “Shall we watch this video together and see if we can make sense of it?” rather than “I know what’s going on and you have to figure it out”.

Finally I mentioned that we publish problems where technology makes a solution more accessible, for example problems where graphing software, or dynamic geometry, or using a spreadsheet makes routine calculation or graph drawing or example creation much easier, and offers routes into the problem that pencil and paper methods wouldn’t allow. Whenever we do this, we try to signpost it in the problem and the teachers’ notes. I think part of a maths education should be learning to use such tools, which is why when I published Which List Is Which? last month, I included the data in a spreadsheet for students to download and manipulate.

There are other ways of using ICT in the mathematics classroom, and other reasons for doing so, that I haven’t mentioned. In fact, I’m sure there are ways that NRICH support and promote ICT that I haven’t thought of, so I guess the comment space below would be a good place to talk about anything obvious I have missed!

November 19, 2011 at 18:06 |

When I read about the subject of ICT used with maths teaching, the issue of how to enter mathematical expressions comes to mind. So far I’ve heard of LaTeX-like languages (e.g. to write a_0, a_1 or x^2), emulation of MS Equation and other concepts such as providing a palette of symbols to drag into an editing area. But people tend to regard these solutions as far from ideal.

Have you come across any other methods, and what do you think of them?

November 21, 2011 at 09:19 |

I think the easiest way to make mathematical symbols is the old fashioned way, with paper and pencil, or on the board! I guess as tablets become cheaper and more widely available, teachers can write mathematical symbols that way.

It seems to me that mark-up languages such as LaTeX are more for presenting mathematics than doing it, so perhaps older students should be taught LaTeX for presenting their maths? I know that AskNRICH https://nrich.maths.org/discus/messages/board-topics.html supports LaTeX in posts so that people can communicate their maths effectively.