tag:blogger.com,1999:blog-8524070301101240472.post9020353883900432812..comments2023-09-28T08:13:11.489-07:00Comments on Only In It For The Gold: Didactic Malpractice DefendedMichael Tobishttp://www.blogger.com/profile/08229460438349093944noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-8524070301101240472.post-38186302215880769222015-11-01T14:53:03.771-08:002015-11-01T14:53:03.771-08:00I agree entirely and vehemently with you, Michael....I agree entirely and vehemently with you, Michael.<br /><br />(Before posting this, I noted your instruction: "Before you speak, ask yourself if what you have to say will improve on silence." I am not sure that a "me too" post actually meets this standard, but perhaps you can cut me some slack.)<br /><br />I remember getting to university and the shock I had encountering lectures that were axiom-based rather than example-based. (Lemma: there is a class of objects such that blah blah blah...) I could see that there is a certain class of people (mathematicians, basically) that could find that stuff interesting and I could even manage to be interested in it myself up to a point. But most of the people to whom mathematics is taught, even in university, are not and never will be mathematicians.Markhttps://www.blogger.com/profile/16914264739638166750noreply@blogger.comtag:blogger.com,1999:blog-8524070301101240472.post-70336283081907882322015-10-31T17:16:04.716-07:002015-10-31T17:16:04.716-07:00If you go to Wolfram's Mathworld [1], you'...If you go to Wolfram's Mathworld [1], you'll find a*b defined as "when a number a is taken b times", opposite to the authors "definition" taken from wikipedia. I expect him to run in circles, screaming and shouting, should he ever find out. I am sorry for the kids, who have to suffer through that hell hole of stupidity.<br /><br />[1] http://mathworld.wolfram.com/Multiplication.htmlAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-8524070301101240472.post-19964016645855027572015-10-31T09:45:33.801-07:002015-10-31T09:45:33.801-07:00I should have said "satisfying the requiremen...I should have said "satisfying the requirements of the bureaucracy". By definition, bureaucracies are never pleased, merely complied with or not.<br /><br />It's not even clear that the student was "advanced" in any way. The student may or may not have been advanced. But to tell the student that the answer is wrong when it isn't is the opposite of helping.<br /><br />One respondent says that in Spanish the verbalization of 5 x 3 is equivalent to "three instances of 5". I don't know if that's true or not, or whether it is relevant in this case. But it could well be, and that's the key point. <br /><br />What this does is basically to delegitimize knowledge learned outside the classroom. And that is a problem.Michael Tobishttps://www.blogger.com/profile/08229460438349093944noreply@blogger.comtag:blogger.com,1999:blog-8524070301101240472.post-50098062200721684842015-10-31T09:22:48.934-07:002015-10-31T09:22:48.934-07:00This comment has been removed by the author.Anonymoushttps://www.blogger.com/profile/06373954966394905528noreply@blogger.comtag:blogger.com,1999:blog-8524070301101240472.post-48131669933971827242015-10-31T09:22:37.965-07:002015-10-31T09:22:37.965-07:00I get your point entirely. I initially saw it quit...I get your point entirely. I initially saw it quite differently. The purpose for going back to this style of teaching math was the premise that our deficiencies in standardized mean test scores were do to a basic lack of fundamental knowledge of how basic math processes work. Whether there was a needs assessment to determine that is lost on me, but the main point remains. This was designed to bring mean score up, therefore, this is not for the students who are way ahead. I do think that your anger is justified, as is mine, which stems from the idea that this advanced student should be punished for being far ahead or grasping the concept without the intermediate step (assuming the first lesson is 5 3x1 boxes and the second is 3 5x1 boxes which then provides the "complete" understanding of how multiplication works). I'm not sure if I would go as far as to say it isn't about knowledge but about pleasing the bureaucracy. I'm not sure the bureaucracy even understands what it is doing and not doing at this point.Anonymoushttps://www.blogger.com/profile/06373954966394905528noreply@blogger.com