The Psychology of ArithmeticThorndike, Edward L. (Edward Lee)
Science
The Psychology of Arithmetic
Thorndike, Edward L. (Edward Lee)
Arithmetic -- Study and teaching
As a preface to reasoning about a problem we often have the discovery of
the problem and the classification of just what it is, and as a
postscript we have the critical inspection of the answer obtained to
make sure that it is verified by experiment or is consistent with known
facts. During the process of searching for, selecting, and weighting
facts, there may be similar inspection and validation, item by item.
REASONING AS THE COÖPERATION OF ORGANIZED HABITS
The pedagogy of the past made two notable errors in practice based on
two errors about the psychology of reasoning. It considered reasoning as
a somewhat magical power or essence which acted to counteract and
overrule the ordinary laws of habit in man; and it separated too sharply
the 'understanding of principles' by reasoning from the 'mechanical'
work of computation, reading problems, remembering facts and the like,
done by 'mere' habit and memory.
Reasoning or selective, inferential thinking is not at all opposed to,
or independent of, the laws of habit, but really is their necessary
result under the conditions imposed by man's nature and training. A
closer examination of selective thinking will show that no principles
beyond the laws of readiness, exercise, and effect are needed to explain
it; that it is only an extreme case of what goes on in associative
learning as described under the 'piecemeal' activity of situations; and
that attributing certain features of learning to mysterious faculties of
abstraction or reasoning gives no real help toward understanding or
controlling them.
It is true that man's behavior in meeting novel problems goes beyond, or
even against, the habits represented by bonds leading from gross total
situations and customarily abstracted elements thereof. One of the two
reasons therefor, however, is simply that the finer, subtle,
preferential bonds with subtler and less often abstracted elements go
beyond, and at times against, the grosser and more usual bonds. One set
is as much due to exercise and effect as the other. The other reason is
that in meeting novel problems the mental set or attitude is likely to
be one which rejects one after another response as their unfitness to
satisfy a certain desideratum appears. What remains as the apparent
course of thought includes only a few of the many bonds which did
operate, but which, for the most part, were unsatisfying to the ruling
attitude or adjustment.
Public-domain text, read in full here on John Shaqi.
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