The process is similar to doing mathematics.
这个过程类似于数学运算。
Or doing mathematics homework, even though you hate it and it takes a long time.
或者是做数学作业，尽管你很讨厌它，并且花费你大量的时间。
But the notion of invention also captures something true about the experience of doing mathematics, in his view.
在Mazur看来，“发明”这个概念与数学研究中的某些经历吻合。
The educational research of mathematics generally thinks that mathematics teaching should value the process "doing mathematics".
数学教育的研究结论普遍认为，数学教学要重视“做数学”这一过程。
If mathematics is the perception of this realm of pure ideas, then doing mathematics requires our brains to somehow reach beyond the physical world.
如果数学是对纯理念王国的感知的话，那么研究数学就需要让自己的大脑以某种方式抵达现实世界之外的某地。
On the next rung up the ladder of difficult mathematics comes doing the same thing in four-dimensional space.
在这个困难的数学阶梯上取得下一个进展之前，得先在四维空间做同样的事情。
Thee book's larger point is that, as Ellenberg writes, "to do mathematics is to be, at once, touched by fire and bound by reason" -and that there are ways in which we're all doing math, all the time.
正如爱伦·伯格在书中写道，本书更主要是告诉大家，“数学就是让你被激情点燃的同时，又被理性包围”，而通过各种方式，我们实际上每时每刻都在接触数学。
The book's larger point is that, as Ellenberg writes, "to do mathematics is to be, at once, touched by fire and bound by reason"—and that there are ways in which we're all doing math, all the time.
正如爱伦伯格在书中写道，本书更主要是告诉大家，“数学就是让你被激情点燃的同时，又被理性包围”，而通过各种方式，我们实际上每时每刻都在接触数学。
He seemed to be doing well in school but his test grades in mathematics dropped quickly.
他似乎在学校表现不错，但是他的数学考试成绩迅速下降了。
He was a formidable polymath, doing important work in mathematics, physics, logic, the study of formal and natural languages, and many other disciplines.
他是一个强大的博学，做数学，物理学，逻辑学的重要工作，正式和自然语言的研究，以及许多其他学科。
Following "the mathematics course in common senior high school standard (experiment)", the author designs the test on the basis of analysing teaching material and doing teaching investigation.
笔者依据是《普通高中数学课程标准(实验)》，在分析教材和教学调查的基础上编制了测试卷。
Finally regarding the above research as guidance, I established the experiment project to educate the mathematics intuition thinking, and spent one academic year doing the mathematical experiment.
以上述研究为指导，制定了培养数学直觉思维的实验方案，进行为期一学年的数学实验。
I am then doing some mathematics with it, clearly, based on the below.
我用它来做一些算术，显然地，根据下面的。
The story of the little boy doing well in school, whether he was not good at mathematics or languages.
这个故事里的小男孩在学校成绩不好，无论是语文还是数学他都不擅长。
The story of the little boy doing well in school, whether he was not good at mathematics or languages.
这个故事里的小男孩在学校成绩不好，无论是语文还是数学他都不擅长。
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