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但不擅长用数学语言的思维模式，尤其是纯粹的、多环节数学描述、推导。即使学过相关的数学课程，他们也难学以致用。因此要注重培养学生运用知识解工程实际问题的能力。从教学而非实验角度看，可以从如下方面着手：1）需用工科教学方式把抽象理论专业化[2]，以本专业的具体对象为例子阐述理论命题，即案例教学。用少量固定的对象的不同方面阐述不同的理论命题，举反三以使学生了解自己专业的问题，掌握解问题的方法；2）熟悉本专业常用元件、设备的传递函数及其信号传递关系，并形成专业常识。例如微积分环节对应输入输出的微积分运算，如电容、电感元件的电流电压关系；力学范畴的位移、速度、加速度间互为微积分运算；掌握其信号框图、Bode图、奈氏图等系统描述方法；3)掌握种仿真工具如Matlab对问题进行仿真分析。

教学创新是学教育永恒的主题和活力源泉[3]，但没有固定的模式和方法。本文认为偏理课程工科化教学创新可以从建立新观念、扩展原概念、采用新方法等方面入手，对相关知识总结、提炼、创新；应结合专业特点，突破教材的限制。建立新观念是指用非理科的观念去理解、应用课本知识。这些新观念可以把抽象（如系统、信号）转化为具体（机床及其各种物理量）；或反过来把具体提升为理论抽象，以适应工科式思维方式；概念扩展既可以把原有概念范畴扩，例如本课程把复域函数也视为信号并更进步把sn视为阶脉冲信号，也可以把抽象概念范畴缩小到某个具体的专业对象；采用新方法包括用口诀式或图形化方法描述数学概念、公式，或者用新方法解某个问题。