Hi breadandbutterfly:
This was exactly where DD1 came unstuck:
Several solutions:
- teach them units and tens and have them count with two different objects (raisins and grapes, raisins and smarties, buttons and legos, etc...)
Now have them try and add two two digit numbers together
say 23 + 36
Decide which is 10s and which is units (say grapes are tens and units are raisins).
On one plate have 2 grapes and 3 raisins and on the other plate have 3 grapes and 6 raisins.
Now have your DD count up grapes (2 + 3 = easy peasy = that's 5 - ah but grapes are tens - so can we count by ten - 10, 20 , 30 , 40 , 50. Let's write that down.
Now count up raisins (3 raisins + 6 raisins) - just count up = 9 raisins.
So what did we write down - ah yes 50 (and show her 5 grapes all on one plate) and then add on 9 raisins (9 raisins all on one plate) = fifty + nine = fifty-nine.
Now show her this writing it down.
It's up to you whether this is horizontal (which is how it will be done at school) or vertical. Oddly enough we avoided writing it vertically because the school was so dead against it - but in fact once DD was shown the vertical method (and drawing lines between to make columns) it just made a lot more sense. (highlighting the units also helps).
- try playing 21. This sounds rather odd - but if you play it open handed at first as a family, it really helps with adding simple two digit and one digit numbers over ten. Same rules as ever - the goal is to get as close to 21 as possible or = 21 - but you lose if you go past it. You can spice it up by betting chocolates or biscuits - up to you.
Be sure to explain that all face cards are = 10 and the Ace = 1.
Deal two cards to each player - have your DD try and explain what it adds up to - say she gets a Jack and a 2 - so go through it slowly - Jack = 10 so what is 10 + 2 (hold ten in your head and count up 2 - say 10 - and then exaggerate counting up 11, 12).
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play snakes and ladders - but have them add up in their head and then add another dice (so two die - adding up to 12). You can play it backwards (100 - 0) for practice with subtraction - if the game is going to fast play forward and back again.
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Play with a deck of cards - face cards = 10 and Ace = 1 - just keep adding up to your target - say 100 - the one to reach the target wins. Or for subtraction start with 100 and keep subtracting. The one to read 0 wins.
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SOME ON-LINE GAMES
Mumsnet has a link to mathschamp (off Learning/ Maths) - and they have good counting games here: www.mathschamps.co.uk/games5-7
BBC Bitesize number pyramid is good practice: www.bbc.co.uk/bitesize/ks1/maths/addition_and_subtraction/play/
Woodlands junior school has a good section on number skills: resources.woodlands-junior.kent.sch.uk/maths/numberskills.html
ICT games addition games are really helpful - some use a number line (catapault game) to help visualise what you're doing and may be a good starting point: www.ictgames.com/addition.htm
Anyway that's a start and I hope it helps.
Finally just to say that if you find maths a struggle and supporting it trying for both you and your DD, you may want to consider on-line tutorials - there's tons out there and all I can say is have an explore. Many here, myself included, have praised Mathsfactor (www.themathsfactor.com/, maths whizz (www.whizz.com/) and mathletics (www.mathletics.co.uk/) - all of these offer trials and many of us parents have found the video game formats a useful way of encouraging math practice at home, whilst making it a bit more interesting and removing the 'tension' of boring old Mum teaching these skills. I've personally found the visual approach seems to work a lot better than old fashioned pencil and paper.
HTH.