An Inquiry Into the Teaching of Addition And Subtraction
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In fact many a teacher of the Grube system has found herself forced into the absurd position of wish- ing that her children knew less. But granting that as far as number is concerned, the mind of the beginner is a tabla rasa, it by no means follows that by teaching the sums as isolated facts, the Grube order presents first those that are the "easiest" for the child. No fact has 40 been better demonstrated by psychologists than that the objectively simple may be subjectively complex, and the obj...ectively complex, the subjectively simple. It has not, for example, been satisfactorily shown, that the associa- tion 5 and 4 is more difficult for the child than is that of 2 and 3. Even aside from this, objectively considered, it would be hard to express in mathematical terms the differ^ ence in "simplicity" between 4 and 2 and 8 and i. And yet, it is only in so far as through it the beginner may be first taught those individual facts, which he can most readily master, that the Grube order is in any respect an improvement upon the most arbitrary order of teaching the elementary sums which will include them all, especially as it divides them into seventeen groups, where the Col- burn groups them in nine.
What to read after An Inquiry Into the Teaching of Addition And Subtraction?
You can find similar books in the "Read Also" column, or choose other free books by A Duncan Albert Duncan Yocum to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
In fact many a teacher of the Grube system has found herself forced into the absurd position of wish- ing that her children knew less. But granting that as far as number is concerned, the mind of the beginner is a tabla rasa, it by no means follows that by teaching the sums as isolated facts, the Grube order presents first those that are the "easiest" for the child. No fact has 40 been better demonstrated by psychologists than that the objectively simple may be subjectively complex, and the obj...ectively complex, the subjectively simple. It has not, for example, been satisfactorily shown, that the associa- tion 5 and 4 is more difficult for the child than is that of 2 and 3. Even aside from this, objectively considered, it would be hard to express in mathematical terms the differ^ ence in "simplicity" between 4 and 2 and 8 and i. And yet, it is only in so far as through it the beginner may be first taught those individual facts, which he can most readily master, that the Grube order is in any respect an improvement upon the most arbitrary order of teaching the elementary sums which will include them all, especially as it divides them into seventeen groups, where the Col- burn groups them in nine.
What to read after An Inquiry Into the Teaching of Addition And Subtraction?
You can find similar books in the "Read Also" column, or choose other free books by A Duncan Albert Duncan Yocum to read onlineMoreLess
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