That Gill character again.

I think I’m going to make her her own category, called, In response to Gill. She poses such wonderful questions, that demand far more than a three line comment in response, and yet again, she’s pondering a subject that is near and dear to my heart, and has been a large part of my own ponderings over the past few days.

So run along and read her post about the number 0 and the comment thread, and most especially, the article that Dani links to. (No, the whole thing, the pdf. That was far too quick. Don’t worry, I’ll wait, I have a cup of tea 🙂 )

And finally, my thoughts.

That is a very wonderful article, and chimes beautifully with some ideas I’m having right now about how to continue with maths with my two. Big has already been reduced to belief that maths is hard (spit, swear) but an hour of looking at patterns the other day went a long way to redeeming her interest. I love mathematical patterns. I love maths. I want to understand all of it, and I’m sitting on the sofa right now with the first part of the first course that I’m taking from OU towards my maths degree.

And I’ve worked out what to do with Small next. We’re going to make our own bead material and our own number cards for place value – Montessori materials work precisely because they are so simple and invite children to explore ideas. I think if we make the materials together, that he will get to explore all sorts of patterns and relationships and probably figure out things I’ve never realised. It’s probably even better than just having access to all of it in a classroom, because in making them, you get to grips with them far more than if they are just sat around for you to pick up.

It all reminds me of a short story by Richard Back, about a flying school. Hm, wonder if I can find it online? Nope. It might be in this book A Gift of Wings, not sure whether my copy is to hand to check.

Anyway, back to maths. You might want to look at the mathman. No, it’s not some series of books with a perky cartoon helper in the corner, it’s a guy who thinks that you can do calculus with young kids, and has got books suggesting how you do it. It’s the kind of problem that the bloke in this article is talking about, and I’m really looking forward to opening it up with the kids very soon. I bought it for school, but with my own money, and then never got around to it, as I didn’t have the courage I should have done. I did read The Number Devil though, and that went down really well. It’s just all about thinking. Finding out for yourself, instead of having knowledge poured into you.

Oh, and it’s fun.


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Comments

7 responses to “That Gill character again.”

  1. are you on the living math yahoo group? I think you’d like it. http://www.livingmath.net
    we’re enjoying the number devil atm 🙂

  2. We must finish The Number Devil at some point, lol! It’s slow to read as they like to work everything out as we go along.
    I dunno, I read stuff like that article, and I’m just thinking, “well yes of course, that’s obvious!” – that’s how I grew up and how I try to live.

  3. But it’s not how most ppl grew up or how many ppl live, so it’s still worth saying and sharing 🙂

  4. I read the article and whilst I agreed with some of what he said, I didn’t fully recognise his critique of maths education as applied to the UK, as it seems to be very US based. It seems that the US system of math (sic) is very prescriptive and formula based as is their english (sic) teaching. I enjoy playing with numbers, and I want my children to enjoy them too, but just as we have plenty of books to teach about drawing skills and music theory, and we proactively use them to improve our skill and enjoyment of those areas, so we do with maths. I know a couple of mathematicians I’m going to run the article past and see what they think too.

  5. i think you are right in a large part jan, but i actually recognised a lot of the description for the maths i learnt. though i don’t think we bothered with proving anything v often. but our bonus as home educators is that we don’t have to follow one style. i admit to enjoying singapore maths [and i kind of think that if a maths family such as the porticos use it it can’t be too dreadful!] but we also have maths experiment books, maths based story books and just fiddling about with maths times!
    just as with music we do do some music theory too

  6. We liked the number devil here too. I do think the love of maths thing is partly a character trait in some ways though; my children are very different with whether they like manipulating numbers/seeing patterns etc. for the fun of it or not. I’d even apply that to the ‘wanting to find out’ thing. My younger two do, the eldest one really can’t be arsed with how anything works or fits together and would rather be making music 😉

  7. Finally got around to reading the article. Thanks for the link! Agreed with almost all of it, and actually think in some ways the UK system is even worse than the US. UK went some way to addressing some of these issues with the introduction of coursework, but completely missed the point by turning it into an assessed exercise.
    I do think that there is a place for practising other people’s methods for solving problems, in the same way there’s a place for practising scales in music, or learning at least a little bit of grammar in English. And we all learnt to speak by copying; it doesn’t mean we can’t say anything original. But agree, knowing your music theory or being able to spell is not the same thing as being a talented musician or linguist.
    I think he’s being a bit hard on the poor teachers though. I’m sure most would agree with much of what he says and are equally frustrated.

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