[Squeakland] Panel discussion: Can the American Mind be Opened?
subbukk
subbukk at gmail.com
Mon Nov 26 19:07:56 PST 2007
On Saturday 24 November 2007 7:23 pm, Bill Kerr wrote:
> I followed that link in the history to this paper which is a more direct
> and concrete critique of discovery learning taken too far, with well
> explained examples of different approaches:
>
> http://www.aft.org/pubs-reports/american_educator/fall99/wu.pdf
>
> BASIC SKILLS VERSUS CONCEPTUAL UNDERSTANDING
> A Bogus Dichotomy in Mathematics Education
> BY H. WU
Prof. Wu does well to call the bluff in treating skills vs. understanding as a
zero sum game. However, I find some of his claims run counter to my own
observations of how children learn. The claim "children welcome any
suggestions that save labor" is simply not true. On encountering a concept
for the first time, children tend to repeat it many times even though the
process is quite tedious. It is only after many repetitions that they become
receptive to suggestions to shortcuts. Either they discover the pattern by
themselves or can be nudged gently towards the Aha discovery either by the
teacher or by their peers.
The issue that I have with algorithms being taught in schools is that they are
introduced too early in the learning curve and are often introduced as "the
method". I have seen many untutored people learn to do additions left to
right. They would tie themselves into knots if asked to use the conventional
right to left method.
Subbu
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