The Psychology of ArithmeticThorndike, Edward L. (Edward Lee)
Science
The Psychology of Arithmetic
Thorndike, Edward L. (Edward Lee)
Arithmetic -- Study and teaching
Stone also compared eighteen systems where there was supervision of the
work by superintendents or supervisors as well as by principals with
four systems where the principals and teachers had no such help. The
scores in his tests were very much lower in the four latter cities.
THE HYGIENE OF THE EYES IN ARITHMETIC
We have already noted that the task of reading and copying numbers is
one of the hardest that the eyes have to perform in the elementary
school, and that it should be alleviated by arranging much of the work
so that only answers need be written by the pupil. The figures to be
read and copied should obviously be in type of suitable size and style,
so arranged and spaced on the page or blackboard as to cause a minimum
of effort and strain.
[Illustration: FIG. 26.--Type too large.]
[Illustration: FIG. 27.--12-point, 11-point, and 10-point type.]
_Size._--Type may be too large as well as too small, though the latter
is the commoner error. If it is too large, as in Fig. 26, which is a
duplicate of type actually used in a form of practice pad, the eye has
to make too many fixations to take in a given content. All things
considered, 12-point type in grades 3 and 4, 11-point in grades 5 and 6,
and 10-point in grades 7 and 8 seem the most desirable sizes. These are
shown in Fig. 27. Too small type occurs oftenest in fractions and in the
dimension-numbers or scale numbers of drawings. Figures 28, 29, and 30
are samples from actual school practice. Samples of the desirable size
are shown in Figs. 31 and 32. The technique of modern typesetting makes
it very difficult and expensive to make fractions of the horizontal type
(1 3 5
- - -
4, 8, 6)
large enough without making the whole-number figures with which they
are mingled too large or giving an uncouth appearance to the total.
Consequently fractions somewhat smaller than are desirable may have
to be used occasionally in textbooks.[19] There is no valid excuse,
however, for the excessively small fractions which often are made in
blackboard work.
[19] A special type could be constructed that would use a large
type body, say 14 point, with integers in 10 or 12 point and
fractions much larger than now.
[Illustration: FIG. 28.--Type of measurements too small.
This is a picture of Mary's garden. How many feet is it
around the garden?]
[Illustration: FIG. 29.--Type too small.]
[Illustration: FIG. 30.--Numbers too small and badly designed.]
[Illustration: FIG. 31.--Figure 28 with suitable numbers.]
[Illustration: FIG. 32.--Figure 30 with suitable numbers.]
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