GS Chandy
Posts:
6,946
From:
Hyderabad, Mumbai/Bangalore, India
Registered:
9/29/05


Re: Please help me with the following question
Posted:
Feb 28, 2013 11:57 PM


Responding to the first sentence of Professor Wayne Bishop's rejoinder to James Elander: QUOTE > Elander's response represents (one of) the problems > associated with > the New New Math focus on mathematics through > applications rather > than traditional (cookbook if you like) applications > of mathematics > having been developed (lots more of mixed variety are > usually needed >   see Singapore or Saxon) with the emphasis on the > general > applicability of the mathematics having been > presented. UNQUOTE (The whole of Wayne Bishop's post is pasted below my signature, for ready reference).
I do gather that Professor Bishop disapproves of James Elander's approach, but that's about it.
After having struggled with (and having failed to understand) that astounding first sentence quoted above, I decided it would be more profitable for me to try to reread "Finnegan's Wake", by James Joyce, as representing something more readily accessible, and certainly more enjoyable. (I have not tried to read anything beyond that first sentence).
Suggestion: BEFORE we do any math (or criticisms of math approaches), we should try to learn to write clearly and understandably.
GSC Wayne Bishop posted Feb 27, 2013 12:51 PM: > Elander's response represents (one of) the problems > associated with > the New New Math focus on mathematics through > applications rather > than traditional (cookbook if you like) applications > of mathematics > having been developed (lots more of mixed variety are > usually needed >   see Singapore or Saxon) with the emphasis on the > general > applicability of the mathematics having been > presented. Often, they > are illposed, a nono in mathematics. In the real > world, > applications are usually such that at least 3/4 of > the problem is > getting enough communication out of those with the > problem to > formulate some kind of mathematical model that > approximates being > good enough but that is an inappropriate setting for > the learning of > mathematics. In fact, coming to such problems with a > broad knowledge > of mathematics (not necessarily deep; if one knows > where to look, > that part is not hard) is necessary to be a real > world mathematics > problem solver. Since school is a zerosum game, > learning the > appropriate mathematics to be prepared to learn > enough more > mathematics to have that broad knowledge is essential > for being a > good realworld problem solver and there is not > enough time to waste > on the "real world" problems done there. Not nearly > enough > mathematics is known to address anything but the most > mathematically > trivial of problems; a common one is: > "You have ndollars to spend. Plan a > . Plan a threeweek trip to Europe." > "Your group" is supposed to find routes, use the > Internet to locate > and price places to stay, nottomiss restaurants, > and the > like. Lots of time wasted on 5th or 6th grade > mathematics at the > expense of moving forward competently. It is a time > tradeoff from > which only students with exceptional mathematics > potential will ever > escape and even most of them never do. > > Wayne > > At 10:10 AM 2/25/2013, James Elander wrote: > >Depends on how you define winners, could be 5 races > and top three times > >Yes to the assumption stated. > >On Sun, Feb 24, 2013 at 7:46 PM, Richard Strausz > ><Richard.Strausz@farmington.k12.mi.us> wrote: > > >> There are 25 bicyclists and just 5 bicycles. Of > all > > >> these we need to find best 3 cyclists. How many > races > > >> should be held to determine top three winners > and > > >> why? > > >> http://www.basiccalculator.org > > > > > > Do we assume that all the bicycles are > equivalent? > > > > > > > >  > >Jim > > > >Jim has 5 new CDs on the market. > > CD1:TGIF MATH (A 100+ activities to make a hectic > math > > period on days like prior to homecoming > into an rewarding > > learning day.) > > CD2: EVERYDAY DECISION MAKING VIA GEOMETRY > > ESSENTIALS (A Logical development of > the essentials > > of PL. & Solid Geometry and applying it > to decision > > making.) > > CD3: EVERYDAY DECISION MAKING VIA MATHEMATICAL > > BRIDGES FOR A BETTER FUTURE (Liberal Art > > "bridges" emphasizing critical > thinking.) > > CD4: EVERYDAY DECISION MAKING FOR A BETTER > > CAREER (Mathematical topics needed for > skills and for > > better decisions) > > CD5: BASIC HIGH SCHOOL MATH REVIEW (Review for > SAT, > > ACT or other tests with Dec ision > Making skills) > > For more info: > > > > > > > > > > > > > http://sites.google.com/site/mathfordecisionmaking/
Message was edited by: GS Chandy

