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Re: down with fractions
In rational expressions, the fraction "bar" can be thought of as
division. In fact, that's what we want. Sttudent's misconceptions
about fractions developed in elementary school actually interfere
with "seeing" the division.
Still I wouldn't throw out fractions entirely. They are good for
precision (not lopping off decimal places) and also for estimating
and visualizing. But should kids spend a week adding fractions like
13/17 + 2/5? NOOOOO!
Long division and square roots, I am with the professor on those.
Teaching those is sort of like teaching how to add using Roman
numerals instead of base 10 numbers.. It's a pain and better done
with a newer "technology".
That's my view on it. Fun to get some math talk on this list!
Jennifer
On Feb 1, 2008, at 5:04 PM, bonnie.blustein@att.net wrote:
Does this also mean no rational expressions, rational functions,
etc until "calculus"? That doesn't seem right.
-------------- Original message from Susan Harman
<susanharman@igc.org>: --------------
Ive been arguing this for years!
Math professor's book will argue against teaching fractions, long
division.
USA Today (1/24, 11D, Milford) reports, "A few years ago, Dennis
DeTurck, an
award-winning professor of mathematics at the University of
Pennsylvania,
stood at an outdoor podium on campus and proclaimed, 'Down with
fractions!'"
DeTurck, in a contribution to a 60-second lecture series, argued that
fractions were "useful for by-hand calculation. But in this
digital age,
they're as obsolete as Roman numerals are." The speech was posted
online,
triggering a "firestorm" of discussion among educators. Now,
DeTurck is
scheduled to publish a book that argues for "the teaching of
decimals over
fractions to elementary school students." He also criticizes "long
division,
the calculation of square roots and by-hand multiplication of long
numbers."
DeTurck argues that "the study of fractions should be delayed
until it can be
understood, perhaps after a student learns calculus."
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