One of my purposes in writing this book is to give readers who haven't had the opportunity to see and enjoy real mathematics the chance to appreciate the mathematical way of thinking.
我写这本书的目的之一是让那些没有机会看到和享受真正数学的读者有机会欣赏到数学的思维方式。
All readers will have the chance to participate in a mathematical experience, to appreciate the beauty of mathematics, and to become familiar with its logical, yet intuitive, style of thinking.
所有的读者都有机会参与数学体验，欣赏数学之美，熟悉其具有逻辑而又出于直觉的思维方式。
And another philosopher, Descartes, in thinking about God's omnipotence, thought that it wouldn't be good enough if God as omnipotent couldn't change the facts of mathematics.
另一个哲学家，笛卡尔在思考上帝万能的时候觉得，如果万能的上帝无法改变数学，那么便不能称为万能。
This way of thinking combines some of the best features of mathematics, engineering, and natural science.
这种思维方式组合了数学、工程学和自然科学的许多最优秀的特性。
Because Mathematics (Finance) needs the ability of logic thinking and data processing, so I need to keep clear thinking and concentration.
因为数学(金融)需要逻辑思维能力和数据处理，所以我需要保持清晰的思维和浓度。
This has only been made possible by radical thinking that combines engineering with science, mathematics and medicine.
这只会成为可能，激进的思想，结合了科学，数学和医学工程等。
Thus, in mathematics teaching, more emphasis should be on mathematical thinking and mathematical methods.
因此，在数学教学时，更重于数学思维和数学方法。
Most mathematics instruction is a kind of satire on the nature of mathematical thinking and the process of creating mathematics.
大部分数学教育，对数学思考的本质和数学创造的过程而言，是一种讽刺。
Many people with Mercury in Aquarius are very good at science and mathematics, because these subjects require thinking that is quick and original as well as accurate.
有许多水星水瓶的人十分擅长自然科学和数学，因为这些学科需要快速精准而新颖的思维。
The geometric thinking in the analysis Liman , on the basis of mathematics and physics it focuses on the two areas of the far-reaching implications.
本文在分析黎曼的几何思想的基础上，着重论述了它对数学和物理学两个领域所产生的深远影响。
Safety science is a rising interdisciplinary subcategory between many science sections, such as mathematics, natural science, system science and philosophy, social science, science of thinking.
安全科学是介于数学、自然科学、系统科学与哲学、社会科学、思维科学各科学部类之间的新兴交叉学科门类。
Stressing on the ability of using logic mathematics thinking to solve problems, the logic mathematics intelligence of the theory refers to the ability of using numerals and reasoning.
其中的逻辑数学智能是指有效运用数字和推理的能力，强调了运用逻辑数学思维解决问题的能力。
Mathematics, as the quintessence of human wisdom, is the best carrier to train rational and scientific thinking abilities.
而数学作为人类智慧的结晶，是培养理性思维能力和科学思想方法最好的知识载体。
The analysis of subject context in the mathematics course gives the learners a complete thinking and frame, which is good for the teaching and studying of Real Variable Function Theoty.
数学课程的主题情境分析可以给学习者导引出一个整体思路及框架，有利于实变函数论课程的教学与学习。
Teaching of mathematics should develop students' internal construction, external construction ability and the ability to construct thinking dialectically.
数学教学要培养学生外源建构、内源建构和辩证建构思维能力。
Advanced mathematics is the first math foundation course after students' entering the university and is also an important tool for students enhancing math awareness and developing thinking skill.
高等数学是学生进入大学后要学习的第一门数学基础性课程，是学生增强数学意识和培养思维能力的重要工具。
In higher mathematics teaching, how to use the characteristics of the subject to teach effectively and cultivate students' creative thinking is still an important task in teaching research.
在高等数学教学中，如何利用学科特点有效地组织教学，培养学生的创造性思维能力，是教学研究中的一个重要课题。
It is an important way of thinking of mathematics to count the shape and combine.
数形结合是一种重要的数学思想方法。
The research in the issuing scope of national debts cannot do without mathematics thinking modes and mathematics methods, such as qualitative analysis and quantitative analysis.
国债发行规模的研究离不开数学思维方式和数学方法，如定性分析与定量分析；
For training divergent thinking, the paper, guided by modern pedagogy and psychology, searches how we can extent to the essence of mathematics in teaching.
本文以现代教育心理学为指导，探讨在数学教学中，为培养发散思维，该怎样深入数学问题的本质。
This new textbook emphasizes mathematics thinking and the relation between calculus and real problems, and introduces mathematics software to train students' application capability.
新教材重视数学思维方法教学，注意微积分与实际问题的联系，并引入了数学软件以训练学生数学应用能力。
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。
Concepts of thinking levels provided theoretic bases for teaching of mathematics, nurturing of abilities, discovery of talented people, paper-setting of examinations, evaluation of teaching and so on.
思维层次观是进行数学教学，培养学生能力，发现人才，命题考试，以及教学评价等的理论依据。
It includes the observation method, the experimental technique, the mathematics method and the logical thinking method.
介绍了观察方法、实验方法、数学方法、逻辑思维方法。
Problem is the heart of mathematics and mathematics is the exercise of thinking training. Thinking is the core of cognition, while meta-cognition is the important component of thinking.
问题是数学的心脏，数学是锻炼思维的体操，思维是认知的核心，元认知是思维的重要监控成分。
This paper analyzed the characteristics and structure of mathematics teaching thinking, pointed out some tactics on training normal schools students mathematics teaching thinking abilities.
分析了数学教学思维的特点、结构，提出了培养师范生数学教学思维能力的一些方法。
This paper expounds the mathematics thinking quality of middle school, and the way to train the mathematics thinking quality of middle school.
提出了中学数学思维品质以及培养数学思维品质的途径。
This paper expounds the mathematics thinking quality of middle school, and the way to train the mathematics thinking quality of middle school.
提出了中学数学思维品质以及培养数学思维品质的途径。
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