General Discussion
In reply to the discussion: Why Would a Math Teacher Punish a Child for Saying 5 x 3 = 15? [View all]Ms. Toad
(38,793 posts)The issue here is what each term in the product means if you are trying to convert multiplication to addition.
It's like understanding that 7 - 5 is often expressed verbally as subtract 5 from 7. Subtraction is still there, even though more people would read the expression as 7 minus 5. (Note the similar difference in order.)
It's not by fiat, and it's not new. The concepts necessary for a higher order of mathematical reasoning - and the language needed - are just being taught at younger ages when it seems as if those concepts (and language) just make it harder.
As I noted in an earlier post - it is the same as when set theory in elementary school was all the rage. It took me until I was working on my master's degree in applied math to understand the power of those basic concepts. The problem wasn't that I shouldn't have been taught those concepts so early - but that they should have been taught by someone with an understanding of what comes next so that they didn't just seem like busy work. My fear is that we are again entrusting the same group of people (elementary teachers who - at a higher rate than average - are math-phobic/illiterate) with not only teaching the mechanics, but having the mathematical sophistication to understand why the mechanics that seem to make things harder really are important.