tag:blogger.com,1999:blog-2629874707592680503.post2429333755743096237..comments2015-12-14T05:18:23.322-08:00Comments on Schmitty Math Blog: Nature of Math: Alternative Methods and Anxiety David Schmidtnoreply@blogger.comBlogger2125tag:blogger.com,1999:blog-2629874707592680503.post-7669826217942831572015-12-14T05:18:23.322-08:002015-12-14T05:18:23.322-08:00Two big issues, for sure. To me, misuse of the tes...Two big issues, for sure. To me, misuse of the test results is a big problem. As long as we're comparing and funding schools by the results - schools which are not comparable in many ways - it's going to be a mess. Tying teacher job security and raises to them is doubling down on the unhealthy.<br /><br />Of course, I'm in favor of the inquiry type math. Calculators are really the most efficient method, and they continue to improve. All that's left for the humans is understanding and application. We're coming to grips so slowly with the post-computation age. (Cf. Conrad Wolfram http://blog.wolfram.com/2010/11/23/conrad-wolframs-ted-talk-stop-teaching-calculating-start-teaching-math/)Polynomial division is a good example. There's no need to work by hand for an answer, but understanding what you're doing and the algebra of it is what's important. Always was, but especially now.John Goldenhttps://www.blogger.com/profile/18212162438307044259noreply@blogger.comtag:blogger.com,1999:blog-2629874707592680503.post-69427225129341202015-12-07T10:09:35.354-08:002015-12-07T10:09:35.354-08:00I can remember the classic "Show ALL your wor...I can remember the classic "Show ALL your work" from the younger days. I remember taking a math test to move up into the advanced class in like 5th or 6th grade, and almost the whole thing was showing the steps, even though the answers were simple and sometimes (dangerous word) trivial. I agree with the nature of mathematics being tough these days. I think thankfully more and more people are starting to see that standardized testing is about as useful as a high school GPA for a post college job interview. Robert Wilsonhttps://www.blogger.com/profile/16715993465808291056noreply@blogger.com