高职《高等数学》新教材建设的认识

On the Construction of the College Advanced Mathematics Textbook

高职《高等数学》教材编写应具有教学新理念,体现教材内容结构新体系。论述了"优化基础、淡化形式、强化应用"教材编写新思路:按"归纳、演绎、应用"的主线编写教材,从"物理的、几何的、专业的"多领域的实际背景和具体的应用案例中归纳出数学概念,经过"几何化、数值化、代数化"等方法演绎出定理,再通过大量的实例、习题说明定理的应用,为高职高等数学教材建设提供一个研究框架。

College advanced mathematics textbook should reflect the new idea of teaching and the new construction of the content.This paper discussed the new ideas of for the compilation of teaching materials： to optimize the foundation,weaken the form and strengthen application in ideas;take induction,deduction and application as the main line;take variety basis of physics,geometry and profession as its theory foundation,induce the mathematics concepts from the practical samples and deduce the theorems and explain the application of the theories through studying a large quantity of examples,which proposed a framework for the construction of the college advanced mathematics textbook.