数学建模课内容和教学方法的探讨

Inquiring into the Contents and the Teaching Methods of the Course of Mathematics Modeling

拟就以下内容进行了探讨 .(i)该课程究竟应该讲什么内容、怎样讲 ,才能使学生在较短的时间内 ,掌握数学建模的基本知识和基本方法 ;(ii)该课程怎样与数学实验更好地结合起来 ,以培养学生的动手能力 ;(iii)该课程应采用什么样的教学手段和教学方法 ,才能加大课堂信息量 ,加强直观性和趣味性等 .我们的解决方法是 :(i)以介绍建立数学模型为主 ,按数学知识内容的不同来选取数学模型的典型案例 ,通过案例介绍 ,使学生学会怎样建立模型 .(ii)适当介绍数学软件包 ,让学生掌握运用软件包来求解模型能力 .(iii)做大作业 ,教员给出题目 ,学生自己收集资料、讨论、上机求解 ,最后写出报告 .(iv)开展多媒体教学 ,对主要的教学内容进行模块化教学 ,将建模分成 1 4个专题 ,做成 1

This paper discusses (i) What are the contents of the course of mathematical modeling and how to give the lesson so that students can master the basic knowledge and the methods of mathematical modeling in a short period? (ii) How to combine this course with mathematical experiment to train the practical ability of students? (iii) What are the teaching artifice and teaching method adopted to increase the information and visualization of the class? Our methods are shown in this paper. (i) The main contents are mathematical models. According to different mathematical knowledge, mathematical modeling cases are selected. Students learn how to set up the models through study the cases. (ii) By introducing mathematical software to train the ability of students to use mathematical software to seek the solutions of models. (iii) Completing large exercises. Teachers arrange subjects, then students collect information, discuss and seek ,finally write out report. (iv) Utilizing multimedia CAI software to teach. Blocking teaching are adapted, lessons are divided into 14 subjects and 14 multimedia CAI software have been made out and used to teach.