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矩阵论是数学的一个重要分支,在数学及各种工程学科具有广泛的应用.该课程对培养研究生抽象思维能力、严密的逻辑论证能力和理论的实际应用能力具有重要作用.本文就工科研究生矩阵论教学,探讨矩阵论教学过程中改革研究与实践. 相似文献
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《矩阵论》课程中Jordan标准形的处理张明淳(东南大学数力系,南京210018)对工科研究生讲授“Jordan标准形”时,如何做到既有利于提高学生的数学素养,又不花太多的时间,同时又兼顾工科学生的可接受性.作者经过多次实践,认为用空间分解及引进幂零... 相似文献
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<正> 著作[1]中,有一习题([1]之183页)如下:试证‖e~A‖≤e~(?)国内有些工科研究生用的矩阵论教材中,也有如此的习题,它们都忽略了上述不等式成立的条件。 相似文献
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基础学科的教材直接影响学生的基本功,尤其是几乎每个学科都会涉及的数学类教材,如矩阵论.矩阵论是研究生的基础课程,在对学生以后的学术道路有举足轻重的作用.所以选择一本合适的教材,对学生和教师来说都有不小的帮助.然而,对教材的评价而言,不能单单从一个方面入手,因此将模糊综合分析法与层次分析法结合,在矩阵论教材的评价方面建立评价体系,为高校选择合适的教材提供依据. 相似文献
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<正> 《随机过程》是工科研究生的一门重要课程。它的作用是培养工科研究生运用随机过程的概念、思想、理论和方法从事科学研究的能力和分析、解决实际问题的能力。 相似文献
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本文作者长期从事线性代数、计算方法和工科研究生矩阵分析课程的教学工作,本文从计算方法和矩阵分析课程所需线性代数知识方面谈谈线性代数应为后续数学课程作哪些准备. 相似文献
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为了培养工科研究生学习泛函分析课程的兴趣,激发利用泛函分析知识解决实际问题的潜能,巩固课堂教学效果,本文将树冠形状的刻画问题中的建模过程细化、简化,提炼成适合研究生课堂教学的教学案例.这种体现数学思维过程的案例可激发研究生学习数学知识的兴趣和培养自主思考的创新能力. 相似文献
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启发式教学是一种教学思想,应该贯穿于整个教学过程.本文通过实际统计数据用模糊数学理论分析高等数学教学中使用启发式教学的积极意义. 相似文献
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旨在通过教学实践体会来探讨数理方程课的教学方法.主要在分析课程特点、挖掘学生学习难点的基础上,从授课内容和思路、理论结合实际、培养学生学习思想、教学手段等多方面论述了提高数理方程课程教学质量的教学方法,同时结合教学实践列举多个数理方程的教学实例来说明锻炼学生能力的途径. 相似文献
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Will McGuffey Ruby Quea Keith Weber Nick Wasserman Tim Fukawa-Connelly Juan Pablo Mejia Ramos 《International Journal of Mathematical Education in Science & Technology》2013,44(8):1166-1190
Prospective secondary mathematics teachers are usually required to complete several university advanced mathematics courses before being certified to teach secondary mathematics. However, teachers usually do not find these courses to be valuable for their teaching. We designed an experimental real analysis course with the goal of making real analysis content useful and relevant to teaching. Our approach was to ground the real analysis content in pedagogical situations that problematized a secondary mathematics topic, where the nuances of teaching secondary mathematics could be informed by the real analysis that was covered. The experimental course was implemented in a graduate teacher education programme with 32 pre- and in-service teachers (PISTs). After the course, we conducted focus group interviews with 20 of these PISTs to get feedback on how the course was valuable to their teaching practice. Many PISTs found the course to be valuable for teaching secondary mathematics, as well as for their understanding of secondary mathematics and real analysis. 相似文献
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This paper is concerned with the teaching of Discrete Mathematics to university undergraduate students. Two to three decades
ago this course became a requirement for math and computer science students in most universities world wide. Today this course
is taken by students in many other disciplines as well. The paper begins with a discussion of a few topics that we feel should
be included in the syllabus for any course in Discrete Mathematics, independent of the audience. We then discuss several potential
models for teaching the course, depending upon the interests and mathematical background of the audience. We also investigate
various educational links with other components of the curriculum, consider pedagogical issues associated with the teaching
of discrete mathematics, and discuss some logistical and psychological difficulties that must be overcome. A special emphasis
is placed on the role of textbooks. 相似文献
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概率统计是大学数学的基础课程之一,我们通过具体的例子分析了概率统计课程教学应该重视的几个问题,并提出了解决问题的建议.这对概率统计课程的教学有一定的借鉴意义. 相似文献
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Jennifer Holm 《International Journal of Mathematical Education in Science & Technology》2013,44(5):563-574
A deep conceptual understanding of elementary mathematics as appropriate for teaching is increasingly thought to be an important aspect of elementary teacher capacity. This study explores preservice teachers’ initial mathematical understandings and how these understandings developed during a mathematics methods course for upper elementary teachers. The methods course was supplemented by a newly designed optional course in mathematics for teaching. Teacher candidates choosing the optional course were initially weaker in terms of mathematical understanding than their peers, yet showed stronger mathematical development after engaging in the extra hours the optional course provided. 相似文献