It is absolutely vital that the student learn mathematics concept in the process of the mathematics learning and teaching.
在数学教与学的过程中，数学概念的学习至关重要。
There are differences of stage, level, subject, and individuality and two types of process error and reasonable error in process of mathematics concept learning.
数学概念学习过程中有阶段性、水平性、学科性、倾向性等差异，有过程性和“合理性”两种类型错误。
Discussed the application of mathematical holography method briefly through the concrete example in the university mathematics concept as well as the theorem teaching.
通过具体的实例探讨了数学全息方法在大学数学概念、定理教学中的应用。
By grasping the influence of language on mathematics, we can clearly understand the relation between language and mathematics so as to form the whole cognition of mathematics concept.
把握语言对数学的影响，从而更清楚地认识语言和数学之间的关系，形成对数学概念的整体认知。
Mathematics concept occupies an important position in mathematics knowledge, but the comprehension obstacle of mathematics concept is a kind of main obstacle in the mathematics concept study.
数学概念在数学知识中占有重要的地位，而数学概念的理解障碍是数学概念学习中的一种主要障碍。
Then this text analyzed from two aspects how to proceed the construction of the mathematics concept: construction of the double direction and construction from concrete to abstract to concrete.
接着从两个方面分析了如何进行数学概念的建构：双向建构和“具体—抽象—具体”建构。
This article is mainly about the application of APOS theory to guide the mathematics concept teaching in high school, with a careful review of the concept teaching under the traditional teaching view.
本文在对传统教学观下的概念教学进行反思的基础上，探讨应用APOS理论指导高中数学概念教学。
Thus，the anthropological concept of “culture” ，like the concept of “set” in mathematics，is an abstract concept which makes possible immense amounts of concrete research and understanding。
因此，人类学中的“文化”的概念，就像数学中“集”的概念一样，是一个抽象概念，它使得大量的具体研究和认识成为可能。
Thus, the anthropological concept of"culture, "like the concept of"set"in mathematics, is an abstract concept which makes possible immense amounts of concrete research and understanding.
因此，人类学中“文化”概念就像数学中“集”的概念一样，是一个抽象概念，它使大量的具体研究和认识成为可能。
The cognition of mathematical concept has always been concern of mathematics education psychologists, and great achievements have been made in different fields.
数学概念的认知问题一直是数学教育心理学关注的课题，取得了大量有意义的研究成果。
Individual's CPFS structure refer to a schema that concept field, concept system, proposition field, proposition system was constructed by student on mathematics learning.
个体的CPFS结构，是指在数学学习中学习者在头脑中形成的概念域、概念系、命题域、命题系。
The CPFS Frame, which was a special cognitive structure only existing in mathematics study, was composed of Concept Field, Concept System, Proposition Field and Proposition System.
CPFS结构是由概念域、概念系、命题域、命题系形成的结构，是数学学习中特有的认知结构。
The concept of fuzzy mathematics is described and two fuzzy pattern recognition models of flaws based on fuzzy set method and fuzzy cluster method have been established.
介绍模糊数学的基本概念，建立了用于缺陷模糊模式识别的两种数学模型，即模糊集法与模糊聚类法。
Mathematics algorithm is a series of basic operations or orders for solving mathematical problems. It is an old concept.
数学算法是为解决数学问题而进行的一组基本操作或一组指令，是一个古老的概念。
Seldom has a single concept played so important a role in mathematics as has the concept of function.
很少有一个概念象函数的概念那样在数学中起如此重要的作用。
The anthropological concept of "culture" like the concept of "set" in mathematics, is an abstract concept which makes possible immense amounts of concrete research and understanding.
人类学对“文化”的概念就像数学“命题”概念一样，是一个使广大无边的具体研究和理解变成可能的抽象的概念。
Actual infinity is a very important concept not only in mathematics, but in philosophy as well, which makes great contributions to the foundation and many theories of mathematics.
实无穷不管在数学上还是在哲学上都是一个非常重要的概念，对数学基础和许多数学理论都作出了很重要的贡献。
Functions are research objects of the calculus and limit is its research tool. The way to define the calculus concept differs distinctly from that of elementary mathematics.
微积分研究的对象是函数，研究工具是极限，微积分概念的定义方式与以往学习的初等数学概念有本质的区别。
APOS theory relatively prevails abroad at present and it has already been widely used in many aspects, such as function concept, abstract algebra, dispersed mathematics, calculus.
目前APOS理论在国外比较盛行，已经在函数概念、抽象代数、离散数学、微积分等多方面领域得到广泛应用。
Thus, the anthropological concept of culture, like the concept offsetting mathematics, is an abstract concept which makes possible immense amounts of concrete research and understanding.
因此，人类学中“文化”概念就像数学中“集”的概念一样，是一个抽象概念，它使大量的具体研究和认识成为可能。
This paper introduced the basic concept of uncertain degree and its mathematics model, and evaluated uncertain degree in tensile strength measure of reinforcing steel bar in material mechanics.
介绍不确定度的基本概念和数学模型，并对材料力学性能测试中常见的钢筋抗拉强度检测中的不确定度进行了简要的分析和评定。
Analyses the reasons for watering after a surface cooler. Deeply studies the watering in terms of the concept of fuzzy mathematics and by introducing influencing factor about watering.
分析表冷器后带水的原因，运用模糊数学概念，引进带水影响因子，对带水问题进行深入研究。
The concept of "intelligent vector" called in this paper is a kind of mathematics model which has the structUre of self-selection based on a two-dimensional vector.
本文提出的“智能向量”的概念是一种基于二维向量的具有自判结构的数学模型。
Need to use mathematical skills frequently, including basic mathematics, budget, profit/loss concept, percentage and difference adaptations, etc.
需要频繁用到数学技能，包括基本数学、预算、利润损失概念、百分比率和差异变通等。
Need to use mathematical skills frequently, including basic mathematics, budget, profit/loss concept, percentage and difference adaptations, etc.
需要频繁用到数学技能，包括基本数学、预算、利润损失概念、百分比率和差异变通等。
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