We teach a subject not to produce little living libraries on that subject, but rather to get a student to think mathematically for himself.

我们教授一门学科不是为了培养关于该学科的小型活图书馆，而是让学生自己学会数学思考。

The best way to create interest in a subject is to render it worth knowing, which means to make the knowledge usable.

激发对一门学科兴趣的最好方法是使其值得了解，这意味着要使知识可用。

We begin with the hypothesis that any subject can be taught effectively in some intellectually honest form to any child at any stage of development.

我们从这样的假设开始：任何学科都可以以某种智力上诚实的形式有效地教给处于任何发展阶段的任何孩子。