中国古代数学创新与课堂创新
Mathematical Innovation and Classroom Innovation in Ancient China

本文从古代数学创新思想出发，分别介绍了位值制十进位记数法、矩阵与正负数、圆周率和“招差术”与差分法等发明创造在当时世界中的领先地位。基于科学精神与创新发展，在课堂创新部分从创新教学内容、拓展教学内容、丰富教学方式等几个方面展开讨论如何培养学生的科学探索精神和创新思维能力，使学生做到学以致用、知行合一，为实现国家富强、建设科技强国打下坚实的数学理论基础。
Starting from the innovation of ancient mathematics, this paper introduces the leading position of the inventions and creations in the world at that time, such as the decimal notation method of place value system, matrix, positive and negative numbers, pi, and “spoofing” and difference method. Based on the scientific spirit and innovative development, in the classroom innovation part, we discuss how to cultivate students’ scientific exploration spirit and innovative thinking ability from the aspects of innovating teaching content, expanding teaching content, and enriching teaching methods, so that students can apply what they have learned and practice what they know, and can unify of knowledge and action, laying a solid mathematical theoretical foundation for the realization of national prosperity and construction of a scientific and technological power.