The Psychology of ArithmeticThorndike, Edward L. (Edward Lee)
Science
The Psychology of Arithmetic
Thorndike, Edward L. (Edward Lee)
Arithmetic -- Study and teaching
The psychology of the elementary school subjects is concerned with the
connections whereby a child is able to respond to the sight of printed
words by thoughts of their meanings, to the thought of "six and eight"
by thinking "fourteen," to certain sorts of stories, poems, songs, and
pictures by appreciation thereof, to certain situations by acts of
skill, to certain others by acts of courtesy and justice, and so on and
on through the series of situations and responses which are provided by
the systematic training of the school subjects and the less systematic
training of school life during their study. The aims of elementary
education, when fully defined, will be found to be the production of
changes in human nature represented by an almost countless list of
connections or bonds whereby the pupil thinks or feels or acts in
certain ways in response to the situations the school has organized and
is influenced to think and feel and act similarly to similar situations
when life outside of school confronts him with them.
We are not at present able to define the work of the elementary school
in detail as the formation of such and such bonds between certain
detached situations and certain specified responses. As elsewhere in
human learning, we are at present forced to think somewhat vaguely in
terms of mental functions, like "ability to read the vernacular,"
"ability to spell common words," "ability to add, subtract, multiply,
and divide with integers," "knowledge of the history of the United
States," "honesty in examinations," and "appreciation of good music,"
defined by some general results obtained rather than by the elementary
bonds which constitute them.
The psychology of the school subjects begins where our common sense
knowledge of these functions leaves off and tries to define the
knowledge, interest, power, skill, or ideal in question more adequately,
to measure improvement in it, to analyze it into its constituent bonds,
to decide what bonds need to be formed and in what order as means to the
most economical attainment of the desired improvement, to survey the
original tendencies and the tendencies already acquired before entrance
to school which help or hinder progress in the elementary school
subjects, to examine the motives that are or may be used to make the
desired connections satisfying, to examine any other special conditions
of improvement, and to note any facts concerning individual differences
that are of special importance to the conduct of elementary school work.
Put in terms of problems, the task of the psychology of the elementary
school subjects is, in each case:--
(1) _What is the function?_ For example, just what is "ability to read"?
Just what does "the understanding of decimal notation" mean? Just what
are "the moral effects to be sought from the teaching of literature"?
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