第五部分，是实践成效的验证以及对建构观下中学函数教学的若干思考。
The fifth part, it is about the affection of practice, and have think about function teaching in middle school, under the guiding of construction-theory.
在此基础上，笔者提出了影响函数高中函数迁移的因素以及促进函数教学中正迁移发生的若干条件。
Accordingly, the author is proposed the influence factors of transfer function, promote the teaching function of migration some conditions on this basis.
计算机技术为建构观下的中学函数教学提供了强有力的技术支持，本文在这方面作了一些探索和研究。
Computer technology has provided great power for teaching function in middle school. And does some explorations and research about this.
本文通过对函数概念教学的研究，探讨了新课程标准带来的一系列变化及应对措施。
Through the investigation into the teaching of function concept, this paper has discussed a series of change and corresponding measures that new course standard brings.
分段函数一直是高等数学教学中的重点和难点内容。
The segmented function has always been emphasis and difficulty in higher mathematics teaching.
辅助函数的构造是高等数学教学中的重要内容之一，也是学生所要掌握的重要的解题方法之一。
The structure of auxiliary function is one of the important contents in the mathematics teaching, it is one of the important solution approaches that students should grasp too.
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。
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.
文章的最后从“历史相似性”的角度对函数的教学提出了一些建议。
Finally some implications and Suggestions to teaching of the concept of function are given in terms of the historical parallelism.
讨论了反例在数学理论中的特殊作用，并给出了几个在多元函数微分学教学中应用的特例。
The special role of counterexamples in mathematics theory is discussed. Several special examples used in teaching differential of multi-function are given.
设计并实现了一个面向教学的类c编译器，支持全局或局部变量的定义、函数参数传递和函数递归调用。
Designing and implementing a teaching-oriented C-like compiler, which supports the definition of local and global variables, function parameters, as well as recursive call of functions.
通过多年教学实践，归纳出热力学函数间基本关系式的图示法。
Based on pedagogical experience, a scheme of diagrammatic representation of fundamental dependent equations relating thermodynamic functions is suggested.
在高等数学的教学中发现很多学生在函数极限运算方面面临不少问题。
Found many students facing many troubles in higher math's study in the limit of function operation aspect.
三角函数的教学在中学数学教学中有着举足轻重的地位。
Trigonometrical function in the teaching of mathematics in secondary schools, have a decisive position.
函数极限的计算是高等数学教学的基本要求，本文归纳了函数极限计算的一些常见方法与技巧。
The computation of function limit is essentially required in higher mathematics education. This paper sums up a lot of common skills and methods of computing function limit.
由于函数内容的抽象性，长期以来，函数图像教学效果不佳的问题一直困扰着众多师生。
Because of the abstraction of the function contents, the ineffectiveness of the function teaching has been perplexing numerous teachers and students for a long time.
在函数概念教学中 ，往往容易忽略其定义域为非空数集这一要素 。
People are likely to overlook in teaching the essential factor that the domain of definition of function concept is just the nonempty set of number.
讨论了如何在复变函数与积分变换课程中引入实践教学的方法，分析指出了目前工科专业复变函数与积分变换课程的教学内容存在的突出问题。
The practical teaching approach for Complex Variable Function and Integral Transformation is discussed, and prominent problems concerned with the teaching contents of the course are analyzed.
周期函数的周期性是中学数学中的教学内容，掌握了函数的周期性，对函数性质的研究会带来不少方便。
This paper is intended to make a systematic study of periodic functions and to popularize them in teaching and learning.
在高中数学教学中，函数内容占了很大的比重，它是高中数学教学的一个重点和难点。
In high school mathematics teaching, function accounted for a large proportion of the content, which is a major focus of teaching high school mathematics and difficult.
对比研究发现，教师的教学是影响学生函数概念理解水平的关键因素。
We found that teaching is the key that affect the understanding of functions by the contrastive study.
从教学管理和内容处理等方面阐述作为分析学课群主要组成的实变函数论与泛函分析课程的建设，以建设课程群的思路对课程进行全面、综合、深入的建设，提高课程建设质量和效益。
It puts forward a new concept to comprehensively and deeply build curricula group in the meantime when to build a course, so as to promote the quality and benefit of curricula construction.
根据这几年的教学经验，本文就亥姆霍兹函数的理解进行了讨论，希望对学习物理化学的同学有所帮助。
Based on the years teaching experience, how to understand Helmholtz was discussed, which would help the students to learn physical chemistry more easily.
函数绘图器是一个出色的函数绘图工具，只要输入相应的任意函数表达式，即可获得该函数表达式的相应二维图像，可以供初级，高级中学以及大学的老师和学生教学和学习使用。
Function plotter is an excellent mathematics tool for all senior and junior middle school or college students and teachers to draw graph which related to the function expression they inputed.
多元函数的教学是高等数学教学中的一个难点。
函数及函数的思想是贯穿整个高中数学的一条主线，是中学数学教学的重要内容之一。函数图像的变换在教材中占有重要的地位。
The function concept is one of the central topics in school mathematics and it appears and reappears like a thread throughout high school mathematics.
建构主义教学观为复变函数与积分变换的教学提供了重要的指导意义。
Constructivism sets a new Angle of viewing teaching and learning, it provides an important direction of the teaching of complex variables and integral commutation.
建构主义教学观为复变函数与积分变换的教学提供了重要的指导意义。
Constructivism sets a new Angle of viewing teaching and learning, it provides an important direction of the teaching of complex variables and integral commutation.
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