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摘要： This dissertation summarizes a study of the use of online homework with developmental mathematics students at the University of Alaska Fairbanks. To address the problem of high failure rates in developmental mathematics courses this study investigated the relationship between online homework and academic achievement, persistence, and attitude. Special focus was placed on non-traditional and Alaska Native students.@pqdt@break@A matched pair experimental design was employed. The independent variable was homework type and the dependent variables were achievement, persistence, and attitude. Nineteen sections of developmental mathematics, six instructors, and 423 student participants were involved.@pqdt@break@The main effect of homework type was not statistically significant to any of the dependent variables. However, the effect of the interaction between homework type and course level was significant (p = 0.005). Upon further analysis it was found that one of the four levels (beginning algebra) had significantly higher post-test scores when online homework was assigned. The interaction effects of homework type/Native status and homework type/ non-traditional status were not statistically significant on any of the dependent variables.@pqdt@break@Also, results from homework questionnaires were compared. In general, students rated paper homework slightly higher than online homework. Instructors rated online homework higher than students did. Non-traditional students scored paper homework higher than online homework.@pqdt@break@The conclusion of this study is that while students have a slightly more favorable attitude toward paper homework, online homework in conjunction with graded paper quizzes and face-to-face instruction does not have a negative effect on achievement or persistence.

关键词： 三相异步电动机   晶闸管软起动   起动方式  

摘要： 本文阐述了三相异步电动机晶闸管软起动主要起动方式的控制原理,并进行了数学分析和计算,给出了根据不同性质负载选择合理起动方式的建议。

关键词： 非线性分析   数学分析   四川省   数学  

摘要： 四川师范大学"应用非线性分析"团队是一支立足于西部,面向世界的数学研究团队。带头人张健教授是日本东京大学博士、博士后,日本学术振兴会特别研究员,先后获得"四川省学术与技术带头人"、"四川省有突出贡献专家"、"四川省优秀留学回国人员"和"国务院政府津贴获得者"、"教育部高等学校教学指导委员会委员(数学与统计学)"等称号。

关键词： 趣味数学   数学分析  

摘要： 趣味数学故事集数学知识教育、数学兴趣教育和数学应用教育于一体,具有独特的教学价值与意义。韩信是西汉时期的历史名人,"韩信背后点兵"是一则关于他的趣味数学故事。下面,笔者试通过分析这则传奇故事,说明趣味故事的教学价值。

关键词： 数学教学   学生分析   解决问题的能力   综合应用   数学能力   生活中的数学问题   逻辑思维能力   空间想象能力   考查   解决实际问题   运算能力   数学学科   数学思想   数学语言   数学分析   命题原则   基础知识   基本知识   方法   综合体  

摘要： 数学分析问题和解决问题的能力是指学生能够综合应用所学数学基本知识、基本思想和方法解决实际问题,包括解决在相关学科、生产、生活中的数学问题,并能用数学语言正确地加以表述.它是数学逻辑思维能力、数学运算能力、空间想象能力等基本数学能力的综合体现.由于高考数学学科的命题原则是在考查基础知识的基础上,注重对数学思想和方法的考查,注重对数学能力的考查,强调了知识点的综合应用.这就对考生分析和解决问题的能力提出了更高的要求.

关键词： 数学分析教学   极限   证伪  

摘要： 在《数学分析》的教学中应以培养学生证实的思维训练为主,但培养学生证伪的思维训练也是有益的补充.通过反例证伪,可以使学生澄清对某些概念和性质的模糊认识,加深对命题成立条件的认识,克服对数学知识理解的偏差和负迁移.在引导学生证伪的过程中,在合理创设问题情境中自由发挥想象,构造反例证伪,可以很好地培养学生思维的缜密性、发散性、灵活性、深刻性和创新性,从而激发起他们学习数学的兴趣和刻苦钻研数学问题的热情和毅力.

关键词： 数学分析   中学数学   数学素质  

摘要： 数学分析理论对培养和提高中学教师数学素质和中学数学有关内容提供了解决办法和简捷证明的有力工具。

关键词： Biological materials  

摘要： Stabilization ponds are easy to operate and their maintenance is simple. Treatment is carried out naturally and they are recommended in developing countries. The main disadvantage of these systems is the large land area they occupy. The aim of this study was to perform an optimization in the design and cost of a facultative pond, considering a mathematical analysis of the traditional methodology to determine the model constraints (fecal coliforms and organic matter). Matlab optimization toolbox was used for nonlinear programming. A facultative pond with the traditional method was designed and then the optimization system was applied. Both analyses meet the treated water quality requirements for the discharge to the receiving bodies. The results show a reduction of hydraulic retention time by 4.82 days, and a decrease in the area of 17.9 percent over the traditional method. A sensitivity analysis of the mathematical model is included. It is recommended to realize a full-scale study in order to verify the results of the optimization.

关键词： 高中数学   分析和解决能力   培养策略  

摘要： 高中数学的分析和解决能力是为了让学生能够解决相关学科、生产、生活中的数学问题,并且培养逻辑思维能力、运算能力、空间想象能力等基本数学能力。

关键词： 银行   最近邻居   金融机构   客户群   协同过滤推荐算法   矩阵   数学分析   营销系统   客户经理  

摘要： 推荐算法目前已被广泛用于互联网业务中,极大地提升了用户体验,其中使用最广泛、最成功的是协同推荐算法。它分为基于用户的和基于项目的,亦可被应用于银行营销系统。本文将银行营销系统的两种需求分别对应到算法中,建立了两个推荐模型,将有助于银行精准营销和交叉营销。