高中生数学建模论文评价的研究_高凯博

Key Words：High School Mathematical Modeling，Evaluation elements ， Analytic Hierarchy Process， Fuzzy
首都师范大学 2009 届硕士研究生学位论文
Βιβλιοθήκη Baidu
目录
摘要 ...................................................................................................................................................i Abstract.......................................................................................................................................... ii 第一章 背景................................................................................................................................ - 1 1.1、问题提出.................................................................................................................... - 1 1.1.1、问题的提出 .................................................................................................... - 1 1.1.2、对于教育的意义 ............................................................................................ - 1 1.1.3、对于教学的意义 ............................................................................................ - 2 1.2、文献综述.................................................................................................................... - 3 1.2.1、中学开展数学建模活动的要求 .................................................................... - 3 1.2.2、关于过程性评价 ............................................................................................ - 3 1.2.3、数学建模评价方面的论述 ............................................................................ - 4 1.3、理论界定.................................................................................................................... - 7 1.3.1、数学建模 ........................................................................................................ - 8 1.3.2、过程性评价 .................................................................................................... - 8 1.4、评委访谈.................................................................................................................... - 9 第二章 评价原则...................................................................................................................... - 10 2.1、过程性评价原则 ...................................................................................................... - 10 2.1.1、在选题的过程中 .......................................................................................... - 10 2.1.2、在数学建模过程中 ...................................................................................... - 11 2.1.3、在论文的撰写中 .......................................................................................... - 11 2.2、激励性原则 .............................................................................................................. - 12 2.3、多元化评价原则 ...................................................................................................... - 13 2.3.1、评价内容多元化 .......................................................................................... - 13 2.3.2、评价目标多元化 .......................................................................................... - 13 2.4、独立性原则 .............................................................................................................. - 14 第三章 评价要素及案例说明 .................................................................................................. - 15 3.1、选题.......................................................................................................................... - 15 3.1.1、选题的过程 .................................................................................................. - 15 3.1.2、选题的评价 .................................................................................................. - 16 3.2、数学建模.................................................................................................................. - 20 3.2.1、数学建模过程 .............................................................................................. - 20 3.2.2、数学建模过程的评价 .................................................................................. - 23 3.3、知识和技能的运用 .................................................................................................. - 28 3.3.1、知识的运用能力 .......................................................................................... - 28 3.3.2、思维创新 ...................................................................................................... - 31 3.3.3、现代化技术 .................................................................................................. - 32 3.4、过程体验.................................................................................................................. - 37 3.4.1、实践过程 ...................................................................................................... - 37 3.4.2、合作经历 ...................................................................................................... - 38 3.5、特色.......................................................................................................................... - 39 3.5.1、页面设计 ...................................................................................................... - 40 3.5.2、特长.............................................................................................................. - 40 -
首都师范大学 2009 届硕士研究生学位论文
Abstract
Since the early 90s, the mathematical contest in modeling for high school students had been held in Shanghai. As other contests, students are required to solve real-world problems with mathematical knowledge in the modeling contest. In 1997, another contest, Mathematics Competition of Senior High School, was established in Beijing. Different from the former contests, students needed to write out a paper about mathematical modeling in the competition, and the topics were not given. However, for such an open-minded competition, formal evaluation criteria haven’t been issued so far. Therefore, the evaluation criteria, and the evaluation points for the candidates’ papers are the main topics discussed in this paper, for the purpose of helping the students to write better papers, and the teachers to guide their students more explicitly. Based on the interviews with judges and a large number of past paper reviews, four principles and six key evaluation elements are formed in the paper and explained in details with real cases. Furthermore, in view of the existing problems of the committee’s evaluation, it is suggested that Analytic Hierarchy Process- Fuzzy is used to evaluate the students’ papers, and the method is proved to be effective in practice.
首都师范大学 2009 届硕士研究生学位论文
摘要
自 90 年代初，上海便开展了针对高中学生的数学建模竞赛，其形式与其它 竞赛一样，运用数学知识完成事先拟好的实际问题。而 1997 年，北京开始举办 高中生数学知识应用竞赛，与前者不同的是，后者要求学生独立完成一篇数学建 模论文，题材自选。然而，对于这样开放的论文竞赛，始终没有出台一份评价标 准。于是，本文试图对于参赛学生论文的评价标准，或者评价要素进行分析，以 求帮助学生更好地完成论文，帮助教师更明确地指导学生。 本文通过对评委的访谈，对大量论文评语的整理，总结出四条评价原则，六 个主要的评价要素，并配以实际案例，对其进行了详细的说明。针对目前评委会 评价过程中的不足，本文提出利用 AHP-模糊综合评价法（基于层次分析的模糊 综合评价法） ，对论文进行评价，并且进行了实践检验。 关键词：高中数学建模，评价要素，AHP-模糊综合评价法