14/9/14: some thoughts on the learning and teaching of mathematics: Comments
http://www.geofftennant.name/blog/2014/09/14/14914-some-thoughts-on-the-learning-and-teaching-of-mathematics.aspx
Latest comments for 14/9/14: some thoughts on the learning and teaching of mathematicsBy: Jenny SpenceYour question on the simplifying fractions brought to mind one of my major bugbears - use of calculators. When Chris was younger we used to get a mathematics calendar - it was great fun to do, with a problem per day and the answer was always the date. So you knew that any complicated multiplying/dividing etc was going to result in a whole number so using a calculator was pointless. But it was really hard work persuading him to ditch the calculator when multiplying out, for example, a long line of square roots (he would do it on his fairly basic calculator and of course end up with a non-whole number because the calculator lost accuracy, and he'd be slower than doing it without too). I can only presume he picked up using a calculator at school, because I certainly try longhand first so he didn't get it from me. And it is SO satisfying to cancel it all down and get ... 2.
And he's still pretty rubbish at factorising quadratic equations - always goes for the formula first. Whatever are they teaching them these days!!!!!!!
http://www.geofftennant.name/blog/2014/09/14/14914-some-thoughts-on-the-learning-and-teaching-of-mathematics.aspx
Jenny Spence17/09/2014 12:54:00By: GeoffThank you, Jenny, agree with you about calculators. As an initial teacher trainer, the line I took was that calculators should be kept in the bag unless there was a clear reason to have them out, and I can think of 3 such reasons: to explicitly teach their use; when doing calculations manually would get in the way of what you're trying to learn (trigonometry would be a strong example of this); and as a learning tool - so nice activities around BODMAS can be set up, for example. Oftentimes topics like fractions, area, perimeter, ratio, proportion and many others can be opportunities to practise basic numeracy on the side. Maybe we need to start a campaign on this!
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Geoff17/09/2014 22:47:00By: Samuel BengmarkDear Geoff
I enjoyed reading this post with some not so well known citations. ;-) The "arm-problem" was clever. Maybe there are also people with three or more arms, but without a doubt they must be fewer than pushing the average up to 2. So to continue in the same vein, is a more likely that the total number of arms in the world right now is even than odd?
http://www.geofftennant.name/blog/2014/09/14/14914-some-thoughts-on-the-learning-and-teaching-of-mathematics.aspx
Samuel Bengmark21/09/2014 03:00:00By: GeoffThank you, Samuel, am I allowed to say that you're the lecturer referred to at the beginning who records his lectures? Apart from the first quotation you are welcome to quote anything here as Tennant (2014). There are some very rare cases of conjoined twins which gives rise, depending on definition, to three and even four arms, but I'm almost certain that the argument above nevertheless holds. As to whether the total number of arms in the world is odd or even, I'm inclined to go for evens but am open to be persuaded otherwise! Thank you for contributing, Geoff
http://www.geofftennant.name/blog/2014/09/14/14914-some-thoughts-on-the-learning-and-teaching-of-mathematics.aspx
Geoff21/09/2014 10:06:00By: Luwilo SangaThank you Geoff, it is true that we had a very good moment during CANP4 2014. I real learned a lot from the EXPERTS.
Please keep on helping us via geofftennant.name to keep networking alive.
Thanks for the hardwork.
http://www.geofftennant.name/blog/2014/09/14/14914-some-thoughts-on-the-learning-and-teaching-of-mathematics.aspx
Luwilo Sanga22/09/2014 00:33:00By: GeoffGreat to have you with us, Luwilo, so pleased you found the whole experience so beneficial. Just the return to normality has gone well - and don't forget to submit something for PAMC!
http://www.geofftennant.name/blog/2014/09/14/14914-some-thoughts-on-the-learning-and-teaching-of-mathematics.aspx
Geoff22/09/2014 05:18:00