Re: Multiplcation Not Repeated Addition- Explain
Posted by: DD on 6/28/09
Juliana, I see your explanation, but multiplying numbers greater than
1 always gives a product (or a sum if using repeated addition) that is
greater than the two numbers you are multiplying. When multiplying
numbers less than 1, I think some students will be confused as to why
you get a product less than the two numbers you are multiplying. That
might be where the repeated addition doesn't foster true understanding
of multiplication.
On 6/27/09, Juliana wrote:
> On 6/25/09, Rich/CA/Math wrote:
>
>>
>> Operations should be extensible. And they are. We can not only
>> multiply 2*3 we can multiply (1/2)*(1/3). Now explain how the
>> latter can ever make sense if multiplication is repeated addition.
>>
> By seeing it as two multiplication problems, one in the numerator and
> one in the denominator.
>
> 1 x 1 = 1 = 1
> _ _ _____ _
> 2 x 3 = 2+2+2 = 6
