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但不擅長用數(shù)學語言的思維模式,尤其是純粹的、多環(huán)節(jié)數(shù)學描述、推導。即使學過相關的數(shù)學課程,他們也難學以致用。因此要注重培養(yǎng)學生運用知識解工程實際問題的能力。從教學而非實驗角度看,可以從如下方面著手:1)需用工科教學方式把抽象理論專業(yè)化[2],以本專業(yè)的具體對象為例子闡述理論命題,即案例教學。用少量固定的對象的不同方面闡述不同的理論命題,舉反三以使學生了解自己專業(yè)的問題,掌握解問題的方法;2)熟悉本專業(yè)常用元件、設備的傳遞函數(shù)及其信號傳遞關系,并形成專業(yè)常識。例如微積分環(huán)節(jié)對應輸入輸出的微積分運算,如電容、電感元件的電流電壓關系;力學范疇的位移、速度、加速度間互為微積分運算;掌握其信號框圖、Bode圖、奈氏圖等系統(tǒng)描述方法;3)掌握種仿真工具如Matlab對問題進行仿真分析。
教學創(chuàng)新是學教育永恒的主題和活力源泉[3],但沒有固定的模式和方法。本文認為偏理課程工科化教學創(chuàng)新可以從建立新觀念、擴展原概念、采用新方法等方面入手,對相關知識總結、提煉、創(chuàng)新;應結合專業(yè)特點,突破教材的限制。建立新觀念是指用非理科的觀念去理解、應用課本知識。這些新觀念可以把抽象(如系統(tǒng)、信號)轉化為具體(機床及其各種物理量);或反過來把具體提升為理論抽象,以適應工科式思維方式;概念擴展既可以把原有概念范疇擴,例如本課程把復域函數(shù)也視為信號并更進步把sn視為階脈沖信號,也可以把抽象概念范疇縮小到某個具體的專業(yè)對象;采用新方法包括用口訣式或圖形化方法描述數(shù)學概念、公式,或者用新方法解某個問題。