Thursday, May 31, 2007

CM Multiplication and Division Question

I’m trying to go through Volume 1′s arithmetic section and make an outline of the steps recommended.  I can get through the addition and subtraction parts just fine (I think – see this post for my analysis), but I have a question about the multiplication and division parts from pages 256-257.

For addition and subtraction, there’s a three-step process for each line of the addition table, followed by the same three-step process for the same line of the subtraction table.  First work the whole line with counters, then with word problems, then with mental numbers.

For multiplication and division (page 257), there appears to be just a one-step process for each line of the multiplication table, followed by a one-step process for the same line of the division table.  It seems we’re just supposed to work out the line using counters and then go on to the next one.  But after working out both tables all the way through, with counters, then she recommends moving to complex word problems that involve both multiplication and division within one problem, without any mention of ever having done the simpler word problems in the course of working through the multiplication and division tables.

Do you think this is what she meant or did she mean us to do the three-step process here as well before moving on and just omitted mention of it?

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