实际问题驱动的线性代数课程教学探索

Exploration on the Teaching Method in Linear Algebra Motivated by Practical Problem

现行的非数学专业线性代数教材各有特色,多侧重理论知识体系建立和陈述,有些教材结合现代数学软件、应用数学理论知识解决实际问题。我们在教学中注重于从实际问题出发建立数学模型,引入相关数学概念和理论,再利用这些理论方法,结合数学软件去解决实际问题。这种以实际问题驱动的数学理论教学方法,体现出"实际—理论—实际"的理论发展和应用的过程,有助于学生理解数学概念、理论思想和方法,培养应用能力和创新能力。

There are characteristics in varies course books using now for non mathematics major education. Yet, these books either lay stress on the description of the theory and building theory system, or on applying the theory into solving practical problems, or on joining with modern mathematical software while teaching. In our teaching process we focus on problem-solving methods by integrating the above three. The method reveals the ＂practice-theory-practice＂ process of development and application of general theory. It helps students to understand mathematical concepts, thoughts and methods and to develop the abilities of application and innovation.