The Psychology of ArithmeticThorndike, Edward L. (Edward Lee)
Science
The Psychology of Arithmetic
Thorndike, Edward L. (Edward Lee)
Arithmetic -- Study and teaching
The words used by textbooks give some indication of how far this aim is
being realized, or rather of how far short we are of realizing it.
Consider, for example, the words home, mother, father, brother, sister,
help, plate, knife, fork, spoon, play, game, toy, tag, marbles, doll,
run, jump, sing, plant, seed, grow, flower, car, wheel, string, cut,
dig. The frequency of appearance in the first fifty pages of eight
beginners' arithmetics was as shown in Table 9. The eight columns refer
to the eight books (the first fifty pages of each). The numbers refer to
the number of times the word in question appeared, the number 10 meaning
10 _or more_ times in the fifty pages. Plurals, past tenses, and the
like were counted. _Help_, _fork_, _knife_, _spoon_, _jump_, _sing_, and
_tag_ did not appear at all! _Toy_ and _grow_ appeared each once in the
400 pages! _Play_, _run_, _dig_, _plant_, and _seed_ appeared once in a
hundred or more pages. _Baby_ did not appear as often as _buggy_.
_Family_ appeared no oftener than _fence_ or _Friday_. _Father_ appears
about a third as often as _farmer_.
Book A shows only 10 of these thirty words in the fifty pages; book B
only 4; book C only 12; and books D, E, F, G, and H only 13, 8, 14, 13,
10, respectively. The total number of appearances (counting the 10s as
only 10 in each case) is 40 for A, 9 for B, 60 for C, 42 for D, 25 for
E, 62 for F, 30 for G, and 37 for H. The five words--apple, egg, Mary,
milk, and orange--are used oftener than all these thirty together.
If it appeared that this apparent neglect of childish affairs and
interests was deliberate to provide for a more systematic treatment of
pure arithmetic, a better gradation of problems, and a better
preparation for later genuine use than could be attained if the author
of the textbook were tied to the child's apron strings, the neglect
could be defended. It is not at all certain that children in grade 2 get
much more enjoyment or ability from adding the costs of purchases for
Christmas or Fourth of July, or multiplying the number of cakes each
child is to have at a party by the number of children who are to be
there, than from adding gravestones or multiplying the number of hairs
of bald-headed men. When, however, there is nothing gained by
substituting remote facts for those of familiar concern to children, the
safe policy is surely to favor the latter. In general, the neglect of
childish data does not seem to be due to provision for some other end,
but to the same inertia of tradition which has carried over the problems
of laying walls and digging wells into city schools whose children never
saw a stone wall or dug well.
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Public-domain text, read in full here on John Shaqi.
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