数学思想,是指现实世界的空间形式和数量关系反映到人们的意识之中,经过思维活动而产生的结果。数学思想是对数学事实与理论经过概括后产生的本质认识;基本数学思想则是体现或应该体现于基础数学中的具有奠基性、总结性和最广泛的数学思想,它们含有传统数学思想的精华和现代数学思想的基本特征,并且是历史地发展着的。通过数学思想的培养,数学的能力才会有一个大幅度的提高。掌握数学思想,就是掌握数学的精髓。
...国期刊网 关键词】数学素质;数学思想;数学建模;数学实验 [gap=266]Key words】Mathemat ics qua lity;Mathema tics thought;Ma thematics mold;Mathematics experiment ...
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对数函数教学中数学思想的运用_科教文汇(下旬刊)_2011-2_91阅读网杂志文章阅读 关键词 数学 对数函数 数学思想 [gap=353]Key words mathematics; logarithmic function; mathematical thinking
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原创:基于数学教学浅谈数学思想 - 经济法律论文发表 - xzbu.com 中国论文网 关键词:新课标;数学教学;数学思想 [gap=546]Key words: the new standard; Mathematics teaching; Mathematical thought
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传统数学思想 Traditional Mathematical Thinking
数学思想方法 Mathematics thinking method ; Mathematical thinking ; mathematical way of thinking ; Mathematical thought and method
数列中的数学思想 High School Mathematics Teaching
勾股定理与数学思想 Junior Middle School Students
数学思想方法教学例谈 Journal of Chizhou Teachers College
高等数学思想 advanced mathematic though
中国传统数学思想 traditional chinese mathematical thought
数学教学思想 Mathematics teaching thought
数学现实思想 Realistic Mathematics Education
They took the practical calculation as the primacy of mathematics and established algebra based on arithmetic not on geometry. These important mathematical thought were crucial to the big change of the European mathematical thinking.
他们将实用计算放在数学的首位,并把代数建立在算术而不是几何的基础之上,这些重要的数学思想对欧洲的数学思想的重大转变起着至关重要的作用。
参考来源 - 十六、十七世纪的代数学And the philosophy of mathematics thought explains the mathematics thought from the ontology, epistemology and methodology of philosophy, and is the abstract of mathematics thought and the procedure of the philosophy of mathematics.
数学哲学思想,则从哲学上的本体论、认识论和方法论角度认识数学思想,是数学思想的抽象化,是数学哲学的演示化。
参考来源 - 贝克莱的数学哲学思想研究·2,447,543篇论文数据,部分数据来源于NoteExpress
掌握数学思想,就是掌握数学的精髓。
Master mathematics thought, is to grasp the essence of mathematics.
数学思想天然就是定义完全而精确的,故可以在很短的容量中精确的描述。
Mathematical ideas are by nature precise and well defined, so that a precise description is possible in a very short space.
如果数学思想在某处等待着被发现,那么即使人类从未构想,一个纯粹抽象的概念也必须存在。
If the mathematical ideas are out there, waiting to be found, then somehow a purely abstract notion has to have existence even when no human being has ever conceived of it.
So always amazing to us how we go into the problem, our eye or mind can see one class of solutions, but the math will tell you sometimes there are new solutions and you've got to respect it and understand and interpret the unwanted solutions, and this is a simple example where you can follow what the meaning of the second solution is.
解决问题的方式总能让人惊喜不已,我们的眼睛或思想可以看见一类解,但数学有时会告诉你还有新的解,你不能忽视它,而是解释这些不期而至的解,这只是一个简单的例子,由此你可以理解第二个解的意义
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