2011–06–29
analysing my analysis
It’s activity week at my school this week. Half the school is abroad, somewhere, others are concentrating on a single activity—golf, cooking, film-making…whatever.
Then there are those on the, ‘daily activity programme’. One of these activities is chess. I can’t/won’t ever walk past a room where people are playing chess without at least a wee peek. My look revealed that there were those there that couldn’t play chess at all. [Why?] I picked upon one wee girl to teach.
You teach chess by showing people how each of the pieces moves and set up the start position, right? Wrong. Here’s what you do:
- Set up four pawns each side, the winner is the one who gets a pawn to the eighth rank first
- Make sure they are comfortable with the pawns; and make sure that en passant comes up somewhere
- Keep adding pawns to their side until they can beat you, when you are trying
- Introduce the King, the idea of check and play the same game
- Three above
- Introduce the Queen, the concept of promotion and checkmate
- Three above et al…
I’ve, probably, taught hundreds kids to play chess, or about it, and I can assure you that this is the best way for their future progress. Chess from the start-position is just a nightmare, if you haven’t grasped what it is you are trying to do. First introduce the patterns, “if I’m here, I can get there by doing that, and I can win from there…”
Anyhoo, I was going through my usual routine, the wee girl was doing well, she showed some flair [she grasped the concept of a passed-pawn and an outside-passed-pawn in a way that some quite-good players don’t]. But she had a distressing tendency to push her King up the board when she should have been gobbling pawns. Why? Because she was doing exactly what I’d told her to do—get a piece to the other side! I hadn’t made it clear that the game-rules hadn’t changed [1 above].
She was right, I was wrong, and that’s my problem when it comes to analysis.
Spot the other dodgy assumptions for yourselves.
My faultz
I got my latest TMA back today, my tutor said, something along the lines of…
Accuracy is everything in analysis…you [me—neil] often miss out parts of the argument.
Exactly what I’d done with the wee girl and the chess. I assume; you can’t do that with analysis. Or with maths in general, but particularly with analysis.
My wife was in heaven when I read this out to her. Once, I drew her a map, a map which sent her astray. I missed out a couple of streets, shouldn’t have mattered—it was obvious. She got lost, asked for help, displayed the map, the map was rubbished by a stranger. My wife has a keen intelligence, especially when it comes to my failings, she’s never ceased to bring this up.
So, I have a problem.
What to do?
I suppose I could just ignore it and carry on. We’ve another analysis block—I could catch up there? Catch up in what sense? Stopping being sloppy? More of the same won’t help there methinks.
To stick with the chess metaphor, where we started—you can be aware of the positions that you don’t like and try to avoid them, but in the end you are better fixing your flaws. Otherwise others will head for your weakness. So we must master the basics, like I teach chess.
I’m going to go back to analysis, to teach myself a discipline that I don’t have.
Comments
Discipline ....
Discipline is something I experience in short bursts particularly when thinking its a good idea to be in control of my own life. My initial intentions are good but the reality is it just drains away after a day or two. I'm not very good at being methodical and can get very impatient wanting to know the outcomes without fully analysing consequences, sequences, etc. Good luck Neil in your new endeavours. Its always good to set a goal and to methodically work towards it. SharonNew comment
I found your analagy very usefull and relevent. I tend to be a very "organic" ie it all happens chaotically but I sort of hobble there in the end. I know that deep down inside its not an ideal way to problem solving........ but then again my life is chaos so I suppose ..... somehow it fits togetherNew comment
Mmm...for my current course I have glossed over the 'obvious' stuff to move on to finer discrimination and have lost a few marks from tmas...I have 'assumed' too much is shared knowledge between me and my tutor, and of course it is. But, you (I mean me) have to actually demonstrate understanding of the 'obvioius' stuff and not assume that the more complex stuff 'shows' you understand the 'obvious'...
if you know what I mean????
Analysing by numbers
I'm surprised to read that Neil. I work things out using numbers. My problem is I over-analyse. Tutor told me so. In my mind, if you work with numbers, it's just a matter of following the first objective, with the second that connects to it, in order of importance...lol..hope that helps!New comment
Sounds like you should be teaching me chess its the sort of game I should be able to master but the books just seem to have lots and lots of things which you have to learn by rote like endless openings up to the 20th variation.New comment
It's an odd thing, but reading your comments and my original post I now understand that I've, again, missed making the point that I was trying to make—I teach people to play chess backwards [which is unusual] because I think that it's more logical that way. [There are other reasons—Chris is on the mark when it comes to openings, if you have a good memory you can go far with zip talent.]
Analysis is, in a certain sense like that, a proof of something that you feel is true but working your way to something that you know is true and pointing back.
It's funny that I get this for chess but I struggle with analysis.
Thanks for all your comments and see you tomorrow Chris.
arb
neil
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Great way of teaching chess Neil,
starting with the soul as Philidor would say; and it inspires a love of endgame technique which most people only develop late.
It was the beautiful diagrams of coordinate squares in Averbakh's Pawn Endings which got me hooked.
Phil
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Aha!
your later comment helps 'illuminate' something for me...
A 'problem' I have developed is I am looking to the end result, to the actual consequences, or to what something 'means'....
I don't start at the end result and work backwards like you do though......Instead, I seem to look at any stage in a process and flick forward to the end result.
eg. I have been studying vision. For arguments sake, say it has 10 stages in three parallel systems. At each stage of a process I will flick forward to the end result, hold that in mind, and then consider what other stages (in any of the 3 systems) might actually interfere with the result. In my head, I end up seeing 'input and output arrows' travelling in every direction....
Sorry!!! Just used your 'space' to think aloud....
But, thanks...that just helped me see some pitfalls in my current cognitive style. One of which is glossing over some of the more obvious (and less interesting) stages. Just because they are more obvious, doesn't mean I should neglect them.....Thank you for unwittingly bringing this to my attention!!
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"Averbakh's Pawn Endings!!
Hard core Phil, one of my favourites is
arb
neil
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@Emily
This isn't my space, and your think has made me think.
The reason that I blog is that I don't have another way to...resolve my...things. This has been one of my better posts, I've gone forward and I hope others' have had a wee think too.
What we miss as OU students is the drunken cut-and-thrust of out-and-out stupidity. You wouldn't think that this would be needed, but I'll bet that it is...
neil