OK, not even wrong. That sounds like an awful lot of potential. http://en.wikiquote.org/wiki/File:Bbrot225x225x24.PNG
; ) https://lateral-exponential.notnil.org/ On 28 August 2011 16:12, <[email protected]> wrote: > Sorry, Sean, but as Wolfgang Pauli used to say, "Not even wrong." > > On Thu, August 25, 2011 6:19 pm, Sean Linton wrote: > > Perhaps recently the culture of mathematics education, at least since > > Newton's *Principia * > > Euclid's Elements, please. Principia is a book of physics, not math, and > you are late by two millennia. Newton's full title is Mathematical > Principles of Natural Philosophy. > > > has been just that, *principles* handed down > > a perceived hierarchy, from a *prince*. May be based on > > genuinely useful descriptions and definitions, but as the Garfunkel > > article > > in the NYTimes suggests not really reflective of the pan-archy in which > we > > find ourselves today, where many types of mathematical skill set need to > > be > > acknowledged for our inter-networked society. > > See > > http://replacingtextbooks.wordpress.com/2011/07/28/what-do-mathematicians-and-scientists-do-all-day/ > > > A better mathematics education might involve less "abstract reasoning", > > but > > also generally less heralding by teachers of untestable *principles* to > > students who are not yet equipped to decide for themselves. Let the > > children > > decide in what way a mathematical concept is a useful description by > > building implicitly ('abstract', 'reason', 'energy', . . . concepts > which > > bind things together; *Ratio Legis*) from the ground up, *à * la > > Bronowski's > > *The Ascent of Man *for example. > > No thank you. A fine expositor, Bronowski, but not for primary school > children. Jean Piaget is your man for unraveling how children come to form > mathematical ideas. Hint: Not like grownups, and even less as grownups > imagine. > > > Describe before you prescribe . . . or > > ascribe to George Bush a *principle* of *punishing failure* to pass > > standard tests? > > ??? > > See http://samanthadouglas.wordpress.com/2011/07/28/give-100-percent/ > > > Who or what was Math anyway that ¡ all the children in the world ! > really > > need to be doing his home work every night? > > ??? > > Sour grapes? > > What mean all these mysteries to me > Whose life is full of indices and surds? > x²+7x+53 > = 11/3 > > Lewis Carroll, A Tangled Tale > > > ; D > > ;<{Þ}}} > > ...Euclid alone > Has looked on beauty bare. Fortunate they, > Who though once only, and then but far away > Have heard her massive sandal set on stone. > > Edna St. Vincent Millay > > > XO > > Sean > > > > > > On 26 August 2011 09:19, Steve Thomas <[email protected]> wrote: > > > >> Alan, > >> > >> Okay, I'll bite, I can see how you believe the "standard curriculum" is > >> way > >> off, but what part of their proposed solution do you disagree with and > >> where > >> do you see as the preferred paths?" > >> > >> In particular in the article they state "*Science and math were > >> originally > >> discovered together, and they are best learned together now." which I > >> assume > >> you agree with based on past writings.* > >> > >> I can see how you might disagree that learning Latin has no value (I > >> have > >> learned a lot from attempting to learn smalltalk). > >> > >> My fear in what the authors suggest is that the "real world" problems > >> will > >> be like what I saw in 1902 textbook Algebra Text by > >> Milne< > http://books.google.com/books?id=DhU4AAAAMAAJ&printsec=frontcover&dq=inauthor:%22William+James+Milne%22&hl=en&ei=27VWTvfzIqjd0QGLo6DRDA&sa=X&oi=book_result&ct=book-preview-link&resnum=5&ved=0CEEQuwUwBA#v=onepage&q&f=false > > > >> which I found in an ice cream shop on Cape Cod (I only go to the best > >> ice cream shoppes ;) The book was filled with "real world" problems > >> (and > >> little visualizations or age appropriate concrete tasks/objects kids > >> could > >> relate to) for ex: > >> [image: > >> > books?id=DhU4AAAAMAAJ&pg=PA356&img=1&zoom=3&hl=en&sig=ACfU3U1k1CWXvlkhypODoZuTWebG14bH1Q&ci=93%2C458%2C873%2C105&edge=0] > >> > >> I look forward to your response, the destruction of my existing beliefs > >> and > >> being freed to learn :) > >> > >> Stephen > >> > >> On Thu, Aug 25, 2011 at 4:38 PM, Alan Kay <[email protected]> wrote: > >> > >>> Hi Walter > >>> > >>> As with a number of other issues in education, I strongly disagree with > >>> both of the main opposing sides. Both the standard curriculum, and > >>> these > >>> guys, are way off IMO. > >>> > >>> Cheers, > >>> > >>> Alan > >>> > >>> ------------------------------ > >>> *From:* Walter Bender <[email protected]> > >>> *To:* iaep <[email protected]> > >>> *Sent:* Thursday, August 25, 2011 9:47 AM > >>> *Subject:* [IAEP] food for thought... > >>> > >>> > >>> > http://www.nytimes.com/2011/08/25/opinion/how-to-fix-our-math-education.html?_r=1&ref=opinion > >>> > >>> -walter > >>> > >>> -- > >>> Walter Bender > >>> Sugar Labs > >>> http://www.sugarlabs.org > >>> > >>> > >>> _______________________________________________ > >>> IAEP -- It's An Education Project (not a laptop project!) > >>> [email protected] > >>> http://lists.sugarlabs.org/listinfo/iaep > >>> > >>> > >>> _______________________________________________ > >>> IAEP -- It's An Education Project (not a laptop project!) > >>> [email protected] > >>> http://lists.sugarlabs.org/listinfo/iaep > >>> > >> > >> > >> _______________________________________________ > >> IAEP -- It's An Education Project (not a laptop project!) > >> [email protected] > >> http://lists.sugarlabs.org/listinfo/iaep > >> > > _______________________________________________ > > IAEP -- It's An Education Project (not a laptop project!) > > [email protected] > > http://lists.sugarlabs.org/listinfo/iaep > > > -- > Edward Mokurai > > (默雷/धर्ममेघशब्दगर्ज/دھرممیگھشبدگر > ج) Cherlin > Silent Thunder is my name, and Children are my nation. > The Cosmos is my dwelling place, the Truth my destination. > http://wiki.sugarlabs.org/go/Replacing_Textbooks > > >
_______________________________________________ IAEP -- It's An Education Project (not a laptop project!) [email protected] http://lists.sugarlabs.org/listinfo/iaep
