tag:blogger.com,1999:blog-7718462793516968883.post6152277008416571078..comments2021-04-10T08:19:35.051-04:00Comments on MadMath: Is Statway a Cargo Cult?Deltahttp://www.blogger.com/profile/00705402326320853684noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-7718462793516968883.post-29080920752569309722014-10-24T10:28:16.049-04:002014-10-24T10:28:16.049-04:00I agree!I agree!Deltahttps://www.blogger.com/profile/00705402326320853684noreply@blogger.comtag:blogger.com,1999:blog-7718462793516968883.post-52546965641921009892014-10-24T09:42:22.966-04:002014-10-24T09:42:22.966-04:00I believe that statistics is more advanced than al...I believe that statistics is more advanced than algebra, in both senses you mention:<br /><br />1) It is built on other mathematics such as algebra, probability, and calculus<br />2) It is somehow more "abstract", meaning it is more difficult to develop mathematical intuition (what i believe should be the goal of mathematics education).<br /><br />I suppose it would be possible to "teach" statistics without a grounding of some more fundamental maths, by simply training the student to recognize certain types of problems and apply the appropriate method. <br /><br />But this would be rather painful and uninspiring. I only fully grasped some concepts in trigonometry after doing calculus in polar coordinates. It was then I realized that a lot of handwaving was done to bootstrap me.<br /><br />The big problem with just learning a bunch of techniques, without a deeper understanding or intuition, is that it doesn't translate to the real world. Its like learning language from a phrasebook. So when it comes to more realistic scenarios in the real world, the student is still helpless.<br /><br />For many students, their problem with mathematics is that they didn't get to spend enough time with it, at an early enough age. Its that simple, I believe. After that it is much more difficult to play catch-up.Gregory Matoushttps://www.blogger.com/profile/02695669454780832427noreply@blogger.com