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I'd like to help a 6 year old who already has a pretty good grasp of 2, 5, and 10 times tables.

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I'm worried about education questions. Generally speaking, they are really hard to answer. Most of the answers you'll get are probably going to be of the form "what I was taught..." or "what I'm teaching my kids...." Ideally, you'd want an answer that has an actual scientific study to back it up, but those are going to be hard to find and maybe this isn't the best place to ask someone to find them. (I could be wrong, of course. It would be great if we had some education experts here.) –  Qiaochu Yuan Jul 29 '10 at 23:41
    
I think we need to discuss this on meta –  Casebash Jul 29 '10 at 23:45
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At least CW.... –  BBischof Jul 29 '10 at 23:51
    
The associated meta question can be found here. –  Larry Wang Jul 30 '10 at 0:03
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First of all, give your child a head start by not using terms like "times tables" and "take-away". Use the proper terminology such as "multiplication" and "subtraction". And please don't use "guzzinta". –  Dennis Williamson Jul 30 '10 at 1:33

2 Answers 2

I'm guessing you are looking for a hard data research answer, but unfortunately, the studies I know of are dubious, partly because they rely heavily on learning style myths, partly because some are funded by commercial parties pushing particular systems.

However, I can give some general advice --

  • Give the system for the 9s that the digits add to 9, let your pupil fiddle with the patterns, and they tend to get this one fairly quickly.

  • Asian countries do fairly well with a "musical" or "chant" method. I've heard of a couple commercial products, including Times Table Rap.

  • Play with the visual representation using marbles or tokens, especially so the pupil can understand why 3 x 7 is the same as 7 x 3.

  • The "circle" method of visualizing skip counting (samples of what I mean here) can be brought in to help with understanding the "rotating" nature of counting on the times tables.

  • There are a fair number of games that help multiplication table prowess, either intentionally or unintentionally. Yahtzee in particular naturally covers the 1-6 portion of the table. I've written a game myself, although I don't know how well it would work with 6 year olds.

  • While I wouldn't necessarily recommend the DS game itself, check out how Professor Kageyama's Maths Training: The Hundred Cell Calculation Method mixes up the columns and rows of the times table to force students to think about the arrangement.

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My personal experience with my 7/8 year old is that Math War works very well for practice. You can play with a normal deck of cards---each player plays two cards, and announces the product, with the higher number winning all the cards. In case of tie, then there is "War", which means you put two (or more) cards face down and then have aother battle on top, with the winner taking the whole pile. You can also play the game with any set of ordinary flash cards. My son is interested to go for a long time with this...

I would also add, however, that although I have heard many people say that one must master the basic math facts before learning more advanced math concepts, I think that this is nonsense. Go ahead and talk about any kind of mathematics (at the right level) with your child.

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