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中文摘要：
数学与应用数学（师范）专业中的《运筹学》具有跨学科、实践性的课程特点,目标在于培养职前教师用数学方法解决实际问题的能力.结合义务教育阶段新课程标准中“四基”的提出这一背景,本文将以线性规划部分（运筹数学）对偶线性规划概念的引入这一知识模块为例,探讨通过问题串形式进行问题驱动、多元表征的概念教学过程.即遵循问题驱动—兴趣驱动—问题意识发展—提出和解决新问题,依据数学与外部联系、数学内部联系两条主线设计教学和学习,探索如何通过问题驱动、多元表征的结构化教学过程引导学生的学习方式发生改变,增强探究学习的动机,发展问题解决能力.课堂教学实践证明效果优于以往单一的讲授式教学法,一定程度上提高了学生的学业成绩、应用问题的兴趣和问题解决意识.
英文摘要：
＂ Operational Research＂ is an interdisciplinary, practical curriculum of Mathematics and Applied Mathematics Major （teacher-training）, which aims at the ability cultivation for pre-service teachers＇ to solve practical problems with mathematical methods. Combined with the background of ＂four bases＂, according to the new curriculum standard of compulsory education stage, this paper introduces a teaching module of ＂problem- driving, multiple representations＂, with the teaching of ＂dual linear programming＂ as an example. Following issues driven , interest driven, consciousness development , problem analysis and new problems solving, according to the internal and external relations of mathematics , and through the structured teaching multi-representations, we have explored how to drive and guide students＇ learning style to change. It can enhance the development of inquiry learning motivation, and improve the ability of problem-solving. Teaching practice have proved that the effect is better than the previous single teaching method. Students＇ interest and problem-consciousness, academic record have been improved to some extent.
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