I certainly agree with one aspect of your post, you do not know enough of the actual implementation of the Moore Method by Moore himself. It certainly was not K-6 mathematics education under the guidance of teachers for whom mathematics was the subject most to be avoided whenever possible which is too often the case in US public education, especially low socioeconomic schools. The same can be said for Polya, often quoted by "reform math"advocates, in support of their pet thinking and advocacy. The reality was that one of the seminal meetings contextualizing directions for SMSG (School Mathematics Study Group, the best of the New Math curricula) was at Stanford where Polya spoke persuasively, but not successfully, against what was underway. I have attached a much better copy of the entire chapter on teaching in Halmos's book that I recommend enthusiastically.
At 02:19 AM 4/18/2013, GS Chandy wrote: >Richard Hake posted Apr 16, 2013 3:08 AM: > > > > Some subscribers to Math-Teach might be interested in > > a recent post > > "R.L. Moore - Pioneer of Math Education Reform" [Hake > > (2013)]. The > > abstract reads: > > > > ************************************************ > > ABSTRACT: Contrary to the misrepresentation of the > > "Moore Method" > > <http://bit.ly/LElQzB> by direct instructionist Wayne > > Bishop at > > <http://bit.ly/qvnOIa>, I excerpt ten commentaries > > demonstrating that > > the Moore Method is, in fact, (a) an example of "math > > education > > reform ," and (b) taught by a "guide on the side." > > ><snip - the remainder of Professor Haky's document appears below my signature> > >I observe: > >1. I am not a math teacher (though I do have some experience in >helping a couple of students overcome their 'fear-loathing' of math, >brought on by earlier, incompetent teaching of math). > >2. I have not taught a math class via the "Moore Method". I >therefore cannot and do not claim to be an expert on the 'Moore Method'. > >I have read a fair bit about the 'Moore Method' - some of the >documentation provided by Richard Hake (see below my signature) as >well as the documentation provided by provided Wayne Bishop (see: >http://mathforum.org/kb/servlet/JiveServlet/download/206-2447655-8894695-822386/Halmos%20on%20The%20Moore%20Method.pdf >and >http://mathforum.org/kb/servlet/JiveServlet/download/206-2447655-8894695-822385/att1.html >). Also some further documentation on the 'Moore Method' that I >sought out and checked through (some of which is listed below). > >I must emphasise that I've NOT done an adequately detailed study on >the 'Moore Method' - either its mechanics or its utility. I am >therefore not taking a call at all on the actual utility of the >'Moore Method' to teaching (either for school math for the purpose >of 'math education reform' or for 'advanced math' classes where >Professor Moore had employed it). > >3. It strikes me, on the basis of the above background, that Richard >Hake's claims are justified that the 'Moore Method' has little >semblance with the 'direct instruction' processes' promoted by >Professor Wayne Bishop. In fact, at least one of the documents >provided by Professor Wayne Bishop himself appears to confound his >own claims (see "How to Teach" - the document is extremely difficult >to read, but it does appear to contradict Professor Bishop's arguments). > >4. In order to arrive at the conclusion of No. 3 above, I have in >addition looked at (but not adequately studied or synthesised) the >following documentation: > >i) Wikipedia "Moore Method" - https://en.wikipedia.org/wiki/Moore_method > >ii) "Creativity in Mathematics, Inquiry-Based Learning (IBL) and the >Moore Method (a set of 16 videos) presented by David Garrigus - >https://www.youtube.com/watch?v=RLVTV-vXJBg > >iii) "A Quick-Start Guide to the Moore Method" (Author's name not >provided - http://legacyrlmoore.org/reference/quick_start-3.pdf ) > >iv) The Genesis of the Moore Method, by David E. Zitarelli, Temple >University, >https://math.temple.edu/~zit/Zitarelli/Genesis%20Midwest.pdf (This >is one of the documents on Richard Hake's list, below). > >At this point, I got somewhat tired of the exercise and decided to >call it quits, as I had given more than sufficient attention to it. > >It does, however, appear that Professor Bishop is 'blowing >smoke'. [I must emphasize that I do not know enough about the >'Moore Method' to make this judgement authoritatively - it is, at >this time, only my impression]. > >GSC >The remainder of Professor Hake's document: > > > > The commentators > > are: > > > > 1. Keith Devlin 1999) in "The Greatest Math Teacher > > Ever" part 1 at > > <http://bit.ly/12GYCSR> and part 2 at > > <http://bit.ly/17pBWdu>. > > > > 2. Educational Achievement Foundation's (2006) "A > > Quick-Start Guide > > to the Moore Method" at <http://bit.ly/ZvQZly> > > > > 3. Paul Halmos in "The Problem of Learning to Teach" > > (Halmos, Moise, > > & Piranian, 1975) at <http://bit.ly/12BgyOP>. > > > > 4. F. Burton Jones (1977) in "The Moore method" at > > <http://bit.ly/17nyIaB>. > > > > 5. Albert C. Lewis (1999) in "Reform and Tradition in > > Mathematics > > Education: The Example of R.L. Moore" at > > <http://bit.ly/YbjUoy>. > > > > 6. G. Edgar Parker (1992) "Getting More from Moore" > > at <http://bit.ly/YbmaMI>. > > > > 7. The MAA review of "The Moore Method: A Pathway to > > Learner-Centered > > Instruction" [Coppin, Mahavier, May, & G.E. Parker > > (2009)] at > > <http://bit.ly/LEdug3>. > > > > 8. "Discovery Learning Project" at the University of > > Texas (2013) at > > <http://bit.ly/12FqZEW>. > > > > 9. Lucille S. Whyburn (1970) "Student oriented > > teaching-The Moore > > Method" at <http://bit.ly/YNS5X4>. > > > > 10. David Zitarelli (2004) in "The origin and early > > impact of the > > Moore Method" at <http://bit.ly/149JYIJ>. > > ************************************************ > > > > To access the complete 54 kB post please click on > > <http://yhoo.it/132baYU>. > > > > Richard Hake, Emeritus Professor of Physics, Indiana > > University > > Links to Articles: <http://bit.ly/a6M5y0> > > Links to Socratic Dialogue Inducing (SDI) Labs: > > <http://bit.ly/9nGd3M> > > Academia: <http://bit.ly/a8ixxm> > > Blog: <http://bit.ly/9yGsXh> > > GooglePlus: <http://bit.ly/KwZ6mE> > > Google Scholar <http://bit.ly/Wz2FP3> > > Twitter: <http://bit.ly/juvd52> > > Facebook: <http://on.fb.me/XI7EKm> > > > > REFERENCES [URL shortened by <http://bit.ly/> and > > accessed on 14 April 2013.] > > > > Hake, R.R. 2013. "R.L. Moore - Pioneer of Math > > Education Reform," > > online on the OPEN Net-Gold archives at > > <http://yhoo.it/132baYU>.. > > Post of 14 Apr 2013 15:57:26 -0700 to AERA-L and > > Net-Gold. The > > abstract and link to the complete post were > > transmitted to several > > discussion lists and are on my blog "Hake'sEdStuff" > > at > > <http://bit.ly/XLLYE2> with a provision for comments. > >