问题一开始出在数学的抽象教学上。

It often starts with the problem of teaching math in the abstract.

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他断言，在理解冗长且完全抽象的一系列观点方面，他的能力非常有限，因此他深信自己在数学上永远不会成功。

He asserted that his power to follow a long and purely abstract train of thought was very limited, for which reason he felt certain that he never could have succeeded with mathematics.

youdao

长期以来，舍伦贝格一直质疑科学研究所支持的这一说法：音乐教育提高儿童的抽象推理、数学或语言能力。

Schellenberg had long been skeptical of the science supporting claims that music education enhances children's abstract reasoning, math, or language skills.

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This is an abstract and powerful mathematical statement of the first law of thermodynamics.

这是热力学第一定律的一个抽象,而且具有很强数学性的表述。

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And I think that's very important especially with electromagnetism, which is so numb toward if, so abstract and so much math flowing around.

我觉得这是非常重要的,尤其是对于电磁学来说，它是一门很难懂的，很抽象的学科,包含很多数学在里面。

麻省理工公开课 - 媒体、教育、市场课程节选

There're also changes of what you can teach, extends what you can teach, because you can get to concept which are really quite sophisticated that you will never teach it at the introductory level, because the math is the least that you can make it quantitatively, because you have a visualization that shows physically what's going on.

同时这也能改变,教学内容，你能教授的程度，因为你可以定义,那些通常很难的,你在入门阶段都不会遇到的,抽象阶段，因为数学是你最不能,用定量手段来解决的，因为你有一个直观过程,知道什么正在进行。

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