One of the drawbacks to a peripatetic life is changing schools frequently and leaving behind any expectation that you, "must surely remember your lessons from last year!" Which, because I didn't share the same lessons, meant the answer was usually a big fat no. That whole orderly progression through the numbers and fractions and base 10 were all a separate slice out of the giant ball of quarks that is math to me.
I had an interesting dinner discussion with a friend from California who is passionate about the common core and raising 2 boys who are taking two different approaches to it. One flies by the rules and the other is content to write the answer and leave it at that. That's where I came in, made a mark and left the building. What is wrong with just writing the answer, I wondered. She told me I didn't understand the process as part of the solution and without showing the process, the solution had no meaning.... My brain started to revert to what it had been like when it was shiny and new and seldom used (back when I was 14-21 years of age.
Oh, I thought. "Could you show me the process you used to reach the correct answer to the following problems," I asked her. Add the numbers together and show your work:
V + V + VI =
C - XIV =
Well, I could go on with higher math but why bother. The process is important but immaterial if one has the correct solution. Why would anyone take away points if the process is not shown but the solution is correct? You know the kind of person who holds fast to a thing they think they know and won't let go even if it kills them? There's one out there reading this and going, "screw the Romans, what did they ever do? The process must be shown or the answer doesn't count!"
|Pont du Gard (read the links to see the math)|