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Wasn't there an attempt to do this in the 1960s? They tried to give students a better mathematical foundation for more advanced maths that ended up backfiring
by spamizbad 17y ago
Wasn't there an attempt to do this in the 1960s? They tried to give students a better mathematical foundation for more advanced maths that ended up backfiring politically? Namely they were teaching rudimentary set and number theory to K-5 kids. This came at the expense of kids ability to multiply and divide, and when the press caught wind of this, the program was quickly shut down.
It seems like any attempt to restructure the math curriculum will be met with massive resistance from parents who were eminently satisfied with their own (likely poor quality) math education, and want their children to have the same.
- tokenadult 17y agoYou are referring to "new math," which is the kind of math instruction I had when I was a child. I am reading just now a very interesting book The Mathematics Pre-Service Teachers Need to Know ftp://math.stanford.edu/pub/papers/milgram/FIE-book.pdf (posted on http://hub.mspnet.org/index.cfm/13083 http://hub.mspnet.org/index.cfm/13083 which warns that it may be a slow download) which describes improved university courses for students who plan to become elementary teachers. That is a big emphasis in the United States now--international comparisons have shown that mathematics education of elementary pupils in the United States is lousy largely because the mathematical education of elementary teachers (at all levels) is lousy, http://www.ams.org/notices/200502/fea-kenschaft.pdf http://www.ams.org/notices/200502/fea-kenschaft.pdf so United States mathematicians are trying to do something about that that is more effective than the 1960s attempt at "new math." Yes, Stillwell's book, mostly aimed at mathematics students who will go on to be mathematicians rather than schoolteachers, is also an outcome of thinking about curriculum reform. He describes his motivation for writing his excellent book as attempting to understanding concepts of mathematics he still didn't understand after he earned his Ph.D. at MIT.
- lotharbot 17y ago"mathematics education of elementary pupils in the United States is lousy largely because the mathematical education of elementary teachers (at all levels) is lousy" This is something I've noticed in the time I spent working with teachers. It amazes me how many 4th-6th grade teachers don't understand fractions, but are trying to teach them to kids!
- Radix 17y agoWhat do you mean when you say they don't understand fractions?
- lotharbot 17y agoI mean, I have watched groups of elementary school teachers work on the same sort of problems they assign (fractions being one example) and struggle mightily. They understand the basic concept of what a fraction is, but many of them get bogged down in the algorithms because they don't really understand what the algorithms represent. What is a "common denominator" beyond "the thing you put fractions over to be able to add them"? Many of the teachers I've worked with would struggle to explain this to students.