Instead a utilitarian mix-and-match culture pervades the field given the fact that mathematics education researchers have at their disposal a range of theories and models of learning and teaching.
然而一种实用主义的“混搭”文化遍及这个领域，说明数学教育研究者还是支配了许多学习和教授方面的理论和模型。
The coloring problem is always important problem in graph theory. In the discrete mathematics and combinatorial analysis, the coloring problem has a wide range of applications.
图的着色问题一直是图论中的重要问题，并且在离散数学和组合分析中有着重要的应用。
Exploration and communication are initiated in new mathematics course, yet lecture and exercises are still being exerted over a wide range in mathematics teaching.
在数学新课程倡导探索与交流的形势下，讲授与练习却在数学教学中被广泛运用。
These interactions are short-range and difficult to be handled in mathematics.
这种相互作用在数学上是极难处理的。
Optimization is an important branch of mathematics, and a wide range of disciplines of subject. For the purpose of the actual problem, the best program can be chosen from many programs.
最优化是一个重要的数学分支，也是一门应用相当广泛的学科，最优化的目的是对于给出的实际问题，从众多方案中选择出最优方案。
Networks are used to model a wide range of phenomena in physics, computer science, biochemistry, ethology, mathematics, sociology, economics, telecommunications, and many other areas.
网络常用于对一系列现象进行建模，广泛应用于物理、计算机科学、生物化学、道德体系学、数学、社会学、经济学、通信学，及其他领域。
This is easy in mathematics, but the depth and range in practical application are limited.
这个目的在数学上很容易达到，但是在实际应用中的深度和广度受到了限制。
This paper discussed the meaning to apply the multi-media technique in the process of teaching and the applicable range of the mathematics courses.
讨论了在数学教学过程中应用多媒体技术的意义和范围。
This paper discussed the meaning to apply the multi-media technique in the process of teaching and the applicable range of the mathematics courses.
讨论了在数学教学过程中应用多媒体技术的意义和范围。
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