tag:blogger.com,1999:blog-491174673971804494.post7364932304361563425..comments2023-09-12T18:20:02.786-07:00Comments on Confessions of a College Professor: Common Core Problems, part 3Doomhttp://www.blogger.com/profile/04528555392898760692noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-491174673971804494.post-42209560812032955712014-05-07T08:12:58.897-07:002014-05-07T08:12:58.897-07:00There are courses in the math department that are ...There are courses in the math department that are meant for the math educator cohorts. At the U of Minnesota, for example, there's a 5000-level combinatorics course for regular math majors -- and then a watered-down 4000-level version meant for the educators. Likewise there's a 2-semester course in geometry that's meant for the educator brigade (hence no serious geometry). Abstract algebra also comes in two flavors -- there's a serious 2-semester 5000 level course based on Herstein, but then a watered down 4000 level course for educators, where they introduce terms like group, ring, field, integral domain, etc. -- but don't cover important results like the Sylow theorems or the Galois correspondence. The history of math course is an utter joke.The net result, of course, is an ill-educated semi-educated brigade of math educators proud of their modest and superficial morsels of math, and intent on introducing them into the school curriculum. Big mistake.AAhttps://www.blogger.com/profile/13242448989166177843noreply@blogger.comtag:blogger.com,1999:blog-491174673971804494.post-15636810036722796762014-05-07T08:01:55.932-07:002014-05-07T08:01:55.932-07:00Now that you mention it, I recall that the only ac...Now that you mention it, I recall that the only actual graduate math course math educationists had to take (in the 80s), was abstract algebra. I would suspect you're on to something, but then they changed it so educationists, even for a Ph.D. in math education, only had to take a graduate level joke "history of mathematics" course instead.Doomhttps://www.blogger.com/profile/04528555392898760692noreply@blogger.comtag:blogger.com,1999:blog-491174673971804494.post-20959209730682424112014-05-07T07:36:22.566-07:002014-05-07T07:36:22.566-07:00You do realise that the math common core has been ...You do realise that the math common core has been put together by a brain-dead committee of people with doctorates in math education? These scum have to justify their sinecures and salaries. Empty and confusing verbosity is the way they do it. And their legacy is generations of adults with math anxiety, whose blood pressure rises each time they see a fraction. The way to teach is to give rules, then present an example or two, then make the students practice and practice, gradually moving onto more difficult and involved calculations, until the skill is reflexive and resides in the hand. What they don't need to know is that fractions constitute a commutative division ring or that the reals constitute a complete ordered field. AAhttps://www.blogger.com/profile/13242448989166177843noreply@blogger.com