calteches.library.caltech.edu/

"...I believe that every subject which is presented in the textbook should be presented in such a way that the purpose of the presentation is made evident.
The reason why the subject is there should be clear; the utility of the subject and its relevance to the world must be made clear to the pupil. ..."

続き>< 

’...I would take, as an example, the subject of sets. In almost all of the textbooks which discuss sets, the material about sets is never used - nor is any explanation given as to why the concept is of any particular interest or utility. The only thing that is said is that "the concept of sets is very familiar." ...'

続きの続き>< 

'...This is, in fact, true.
The idea of sets is so familiar that I do not understand the need for the patient discussion of the subject over and over by several of the textbooks if they have no use for the sets at the end at all. '

フォロー

最初の部分のグーグル翻訳>< 

(数学の教科書の話><)
"教科書で取り上げられるすべての主題は、その提示の目的が明らかになるように提示されるべきだと私は信じています。
主題がそこに置かれている理由は明らかであるべきです。主題の有用性と世界に対する関連性は生徒に明確にされなければなりません。"

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