The Psychology of ArithmeticThorndike, Edward L. (Edward Lee)
Science
The Psychology of Arithmetic
Thorndike, Edward L. (Edward Lee)
Arithmetic -- Study and teaching
Dewey, and others following him, have emphasized the desirability of
having pupils do their work as active seekers, conscious of problems
whose solution satisfies some real need of their own natures. Other
things being equal, it is unwise, they argue, for pupils to be led along
blindfold as it were by the teacher and textbook, not knowing where they
are going or why they are going there. They ought rather to have some
living purpose, and be zealous for its attainment.
This doctrine is in general sound, as we shall see, but it is often
misused as a defense of practices which neglect the formation of
fundamental habits, or as a recommendation to practices which are quite
unworkable under ordinary classroom conditions. So it seems probable
that its nature and limitations are not thoroughly known, even to its
followers, and that a rather detailed treatment of it should be given
here.
ILLUSTRATIVE CASES
Consider first some cases where time spent in making pupils understand
the end to be attained before attacking the task by which it is
attained, or care about attaining the end (well or ill understood) is
well spent.
It is well for a pupil who has learned (1) the meanings of the numbers
one to ten, (2) how to count a collection of ten or less, and (3) how to
measure in inches a magnitude of ten, nine, eight inches, etc., to be
confronted with the problem of true adding without counting or
measuring, as in 'hidden' addition and measurement by inference. For
example, the teacher has three pencils counted and put under a book; has
two more counted and put under the book; and asks, "How many pencils are
there under the book?" Answers, when obtained, are verified or refuted
by actual counting and measuring.
The time here is well spent because the children can do the necessary
thinking if the tasks are well chosen; because they are thereby
prevented from beginning their study of addition by the bad habit of
pseudo-adding by looking at the two groups of objects and counting their
number instead of real adding, that is, thinking of the two numbers and
inferring their sum; and further, because facing the problem of adding
as a real problem is in the end more economical for learning arithmetic
and for intellectual training in general than being enticed into adding
by objective or other processes which conceal the difficulty while
helping the pupil to master it.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account