The Psychology of ArithmeticThorndike, Edward L. (Edward Lee)
Science
The Psychology of Arithmetic
Thorndike, Edward L. (Edward Lee)
Arithmetic -- Study and teaching
Children, especially the less gifted intellectually, need more
experiences as a basis for and as applications of an arithmetical
abstraction or concept than are usually given them. For example, in
paving the way for the principle, "Any number times 0 equals 0," it is
not safe to say, "John worked 8 days for 0 minutes per day. How many
minutes did he work?" and "How much is 0 times 4 cents?" It will be
much better to spend ten or fifteen minutes as follows:[14] "What does
zero mean? (Not any. No.) How many feet are there in eight yards?
In 5 yards? In 3 yards? In 2 yards? In 1 yard? In 0 yard? How many
inches are there in 4 ft.? In 2 ft.? In 0 ft.? 7 pk. = .... qt.
5 pk. = .... qt. 0 pk. = .... qt. A boy receives 60 cents an hour
when he works. How much does he receive when he works 3 hr.? 8 hr.?
6 hr.? 0 hr.? A boy received 60 cents a day for 0 days. How much did he
receive? How much is 0 times $600? How much is 0 times $5000? How much
is 0 times a million dollars? 0 times any number equals....
232 (At the blackboard.) 0 time 232 equals what?
30 I write 0 under the 0.[15] 3 times 232 equals what?
----
6960 Continue at the blackboard with
734 321 312 41
20 40 30 60 etc."
--- --- --- --
[14] The more gifted children may be put to work using the principle
after the first minute or two.
[15] 232
30 If desired this form may be used, with the appropriate
--- difference in the form of the questions and statements.
000
696
----
6960
Public-domain text, read in full here on John Shaqi.
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