tag:blogger.com,1999:blog-18924127.post7087177996165509872..comments2023-10-04T07:38:47.746-04:00Comments on The Trackball of Truth: Messing up mathTrackball of Truthhttp://www.blogger.com/profile/01299061836696068862noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-18924127.post-30295823008015061782009-11-07T00:19:43.555-05:002009-11-07T00:19:43.555-05:00Autumn: thanks for commenting! I think we are more...Autumn: thanks for commenting! I think we are more in agreement than not. But you may have missed the main point I probably didn't make very clearly. I think there ought to be 3 rules for teaching any material K-12:<br /><br />1. It should be material that is used by the population. It should not be material that is never used by most people. Because otherwise the education system will write the subject off, as it has with math and science. Trig and calc are specialized math, meant for math-related college majors and should not be part of a general purpose high school education. <br /><br />2. It should be developmentally appropriate so that it is truly understood, and not propped up by mindless memorization because it makes the kids look smart. Because people give up on a subject where they don't have true understanding.<br /><br />A student should be capable of doing more than stepping through a cookie cutter formula of mechanics and truly understand the concept. For trig and calculus, that means doing proofs and so on. Even my physicist PhD wife scored a D on her first go around with calculus in high school.<br /><br />This is similar to the difference between truly understanding a vocabulary words versus just memorizing a definition, but not able to use the antonyms or synonyms fluidly for a given word.<br /><br />3. It should not drive people away from the subject, so as not to preclude their pursuit of it in college. Math and science education seem to be custom built to drive away as many people as possible.<br /><br />I agree that the basics are not given their due in the earlier grades and this is part of the problem. Learning exponents in 5th grade takes time away from fractions, decimals and percentages. And I have spent too much time in my professional life explaining basic rules about proportions and averaging to MIT-level econometricians - and still not have them understand it.Trackball of Truthhttps://www.blogger.com/profile/01299061836696068862noreply@blogger.comtag:blogger.com,1999:blog-18924127.post-84564568147962540942009-11-04T21:24:54.758-05:002009-11-04T21:24:54.758-05:00It was a good article, but I am not in complete ag...It was a good article, but I am not in complete agreement with your interpretation. I think that elementary school math is what has gotten out of wack. They have simply messed with the order of topics so that they look 'advanced' and they don't master the basics sufficiently. I do think that trig and calculus are developmentally appropriate for high school, however, and if the elementary/middle school math program was better then these topics would not be so hard in high school.Wendyhttps://www.blogger.com/profile/00067056162917257166noreply@blogger.com