The Psychology of ArithmeticThorndike, Edward L. (Edward Lee)
Science
The Psychology of Arithmetic
Thorndike, Edward L. (Edward Lee)
Arithmetic -- Study and teaching
There is one intelligent objection to the special practice necessary to
establish arithmetical connections so fully as to give the accuracy
which both utilitarian and disciplinary aims require. It may be said
that the pupils in grades 3, 4, and 5 cannot appreciate the need and
that consequently the work will be dull, barren, and alien, without
close personal appropriation by the pupil's nature. It is true that no
vehement life-purpose is directly involved by the problem of perfecting
one's power to add 7 to 28 in grade 2, or by the problem of multiplying
253 by 8 accurately in grade 3 or by precise subtraction in long
division in grade 4. It is also true, however, that the most humanly
interesting of problems--one that the pupil attacks most
whole-heartedly--will not be solved correctly unless the pupil has the
necessary associative mechanisms in order; and the surer he is of them,
the freer he is to think out the problem as such. Further, computation
is not dull if the pupil can compute. He does not himself object to its
barrenness of vital meaning, so long as the barrenness of failure is
prevented. We must not forget that pupils like to learn. In teaching
excessively dull individuals, who has not often observed the great
interest which they display in anything that they are enabled to master?
There is pathos in their joy in learning to recognize parts of speech,
perform algebraic simplifications, or translate Latin sentences, and in
other accomplishments equally meaningless to all their interests save
the universal human interest in success and recognition. Still further,
it is not very hard to show to pupils the imperative need of accuracy in
scoring games, in the shop, in the store, and in the office. Finally,
the argument that accurate work of this sort is alien to the pupil in
these grades is still stronger against _inaccurate_ work of the same
sort. If we are to teach computation with two- and three- and four-place
numbers at all, it should be taught as a reliable instrument, not as a
combination of vague memories and faith. The author is ready to cut
computation with numbers above 10 out of the curriculum of grades 1-6 as
soon as more valuable educational instruments are offered in its place,
but he is convinced that nothing in child-nature makes a large variety
of inaccurate computing more interesting or educative or germane to felt
needs, than a smaller variety of accurate computing!
THE STRENGTH OF BONDS FOR TEMPORARY SERVICE
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