Preface

With the deepening of the concept of new curriculum reform, the dominant position of students is increasingly apparent. Teachers should also pay attention to guiding students to solve problems with new ideas and new ideas in classroom teaching, give full play to students’ self potential, cultivate students’ new thinking quality, make students have innovative thinking consciousness, and comprehensively promote students’ motivation of active inquiry learning.
       “Innovation is the soul of a nation and the inexhaustible driving force for the prosperity of a country”. In today’s world, science and technology are advancing by leaps and bounds, and knowledge economy has begun to take shape. The development of education has been closely related to the safety of the country and the rise and fall of the nation. Therefore, it has become an urgent task to cultivate new talents with innovative thinking ability. The cultivation of innovative consciousness and innovative ability is an important task of cross century education. As education itself is a process of innovation, it requires teachers to have a sense of innovation. We mathematics teachers have the responsibility to create a generation of innovative people through teaching. Teachers should excavate the teaching materials, effectively control the teaching materials, introduce new knowledge and new problems that adapt to the development of the times into the classroom, organically combine with the content of the teaching materials, guide students to actively explore, and cultivate students’ innovation ability.
        Mathematics is a skill, the crystallization of human wisdom, an important symbol of human civilization, the essence of human being's long-term practice, and the height of the world’s natural laws. Therefore, as long as we learn and think in accordance with its rules step by step, we can definitely learn and understand it.
       In a word, mathematics is the use and generalization of natural laws in human labor. It urges people to explore nature, discover the beauty of nature, and make people feel beauty and experience the enjoyment of beauty, so that people can take the initiative to explore and create.

前 言

随着新课程改革理念的深入，学生的主体地位日益显现，教师也应在课堂教学中注意引导学生用新理念、新思路去解决问题，充分发挥学生的自我潜能，培养学生全新的思维品质，使学生具有创新的思维意识，全面促进学生主动探究学习的动机。
     “创新是一个民族的灵魂，是一个国家兴旺发达的不竭动力。”当今世界，科学技术突飞猛进，知识经济已见端倪。教育的发展已经与国家的安危、民族的兴衰息息相关。因此，培养具有创新思维能力的新型人才，已经成为当务之急，创新意识及创新能力的培养，是跨世纪教育的一项重要任务。由于教育本身就是一个创新的过程，这就要求教师必须具有创新意识，我们数学教师有责任通过教学造就一代有创新精神的人。教师要通过挖掘教材，高效地驾驭教材，把与时代发展相适应的新知识、新问题引入课堂，与教材内容有机结合，引导学生去主动探究，培养学生的创新能力。
        数学是一种技能，是人类智慧的结晶，是人类文明的重要标志，是人类在长期的实践中汲取的精华，是世界自然规律的高度。因此，只要按照它的规律，循序渐进的去学、去想，绝对可以学懂。
        总之，数学是人类在劳动中对自然规律的利用和概括，它促使人们去探索自然、发现自然之美，使人们从中感受美、体验美的享受，从而使人们主动去探索、去创造。