中文摘要：

数学作为学习过程中重要的工具性学科,在社会的每一个领域都有数学的身影,所以对于数学学科的教育,需要注意有效性和开放性,只有在教学过程中注意到数学教学的有效性和开放性才能提升当代学生的知识文化水平,提高其处理分析问题的能力,促进学生思维水平的发展和创新能力的提升。

英文摘要：

As an important tool in the learning process subject, mathematics in every field of society has a mathematical figure. So for mathematics education, we need to pay attention to the effectiveness and openness, and only pay attention to in the process of teaching. To the effectiveness of mathematics teaching and openness to enhance the knowledge and cultural level of contemporary students, we improve the processing ability of analyzing problems, and promote the development of the level of students＇thinking and innovative ability of ascension.