介绍数学认知结构、数学学习过程的概念，探讨这些概念对数学教学的启示。

The paper introduces mathematical recognition structure, concepts on mathematical studying process and probes into enlightenment of these concepts on mathematical teaching.

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数学美与数学教学整合的根本目的就是要实现数学学习过程与数学审美过程的统一。

The ultimate aim of conformity of mathematic beauty and mathematic teaching is the realization of unity of mathematic learning process and mathematic aesthetic process.

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第五章对学生提出优化数学学习过程，优化学习方法，以及提高自身数学素质的建议；

Chapter 5, it suggests how to advance the process to study mathematics, the methods to study, and improve oneself mathematics character;

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