The Doman math program (How to Teach Your Baby Math) uses a very simple, straightforward way of teaching babies and toddlers the realities of numbers and equations. You simply show them the facts, and they discover the rules.
For teaching a toddler addition, this translates into gathering three cards and showing them: "One" (hold up a card with one dot on it) "plus two" (show the card with two dots on it) "equals three" (show the card with three dots on it).
No explanation, just show the facts. Since they can actually see the true number of dots, they understand what "plus" means because they can see what is happening. Therefore, tiny children who have been taught true quantity (see blogs under "Teach Your Child ... Math" to learn more) can learn what plus, minus, times, and divided by mean in the same way that they learn "mine" - which is, by seeing these words used in action.
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