Student Perceptions of the Use of Writing in a Differential Equations Course

The use of writing to learn mathematics at the university-level is a pedagogical tool that has been gaining momentum. The setting of this study is a second-year differential equations class where written assignments have been incorporated into the course. By analyzing survey results and students' written work, we examine the extent to which students view writing as an effective learning strategy, as well as their beliefs about the relationship between mathematical writing and communication. We also discuss what students' narratives reveal about their past mathematical experiences.     

用问题驱动的大学数学教学实践

一种新的教学模式：从一道常微分方程的解法不断衍生一些相关的问题,这些问题驱动作我们对这种微分方程——非齐次线性方程的解法进行不断探索,从而对比较系数法有了更深的理解。     

数学应用问题解决认知障碍的成因及教学策略

学生解决数学应用问题认知障碍的成因主要有学生的基础知识不牢固、问题背景的复杂性、认知图式检索失败、没有理解和掌握数学思想方法、解题监控能力差等.克服学生解题认知障碍的教学策略主要有:加强数学"双基"的教学;加强数学建模策略与方法的教学;采用样例教学和变式练习;培养学生反思能力和自我监控能力,克服思维定势的消极影响.     

基于IRT的自动组卷算法模型研究

基于项目反应理论(IRT),采用离差加权值最小和测验项目信息函数值最高两个目标规划相结合的办法,设计了一个新的自动组卷数学模型。该模型克服了经典测量理论(CTT)的种种局限,有效解决了计量指标——信息量与非计量指标——题型分布、知识点分布等约束条件计算量纲不同的问题,很好地体现了测试项目信息函数值最高的组卷目标。     

Variable versus constant power strategies during cycling time-trials: Prediction of time savings using an up-to-date mathematical model

Abstract

Swain (1997 Swain, D. P. 1997. A model for optimizing cycling performance by varying power on hills and in wind. Medicine and Science in Sports and Exercise, 29: 1104–1108. [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) employed the mathematical model of Di Prampero et al. (1979 Di Prampero, P. E., Cortili, G., Mognoni, P. and Saibene, F. 1979. Equation of motion of a cyclist. Journal of Applied Physiology, 47: 201–206. [PubMed], [Web of Science ®] , [Google Scholar]) to predict that, for cycling time-trials, the optimal pacing strategy is to vary power in parallel with the changes experienced in gradient and wind speed. We used a more up-to-date mathematical model with validated coefficients (Martin et al., 1998 Martin, J. C., Milliken, D. L., Cobb, J. E., McFadden, K. L. and Coggan, A. R. 1998. Validation of a mathematical model for road cycling power. Journal of Applied Biomechanics, 14: 276–291. [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) to quantify the time savings that would result from such optimization of pacing strategy. A hypothetical cyclist (mass = 70 kg) and bicycle (mass = 10 kg) were studied under varying hypothetical wind velocities (?10 to 10 m · s^?1), gradients (?10 to 10%), and pacing strategies. Mean rider power outputs of 164, 289, and 394 W were chosen to mirror baseline performances studied previously. The three race scenarios were: (i) a 10-km time-trial with alternating 1-km sections of 10% and ?10% gradient; (ii) a 40-km time-trial with alternating 5-km sections of 4.4 and ?4.4 m · s^?1 wind (Swain, 1997 Swain, D. P. 1997. A model for optimizing cycling performance by varying power on hills and in wind. Medicine and Science in Sports and Exercise, 29: 1104–1108. [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]); and (iii) the 40-km time-trial delimited by Jeukendrup and Martin (2001 Jeukendrup, A. E. and Martin, J. 2001. Improving cycling performance: How should we spend our time and money?. Sports Medicine, 31: 559–569. [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). Varying a mean power of 289 W by ± 10% during Swain's (1997 Swain, D. P. 1997. A model for optimizing cycling performance by varying power on hills and in wind. Medicine and Science in Sports and Exercise, 29: 1104–1108. [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) hilly and windy courses resulted in time savings of 126 and 51 s, respectively. Time savings for most race scenarios were greater than those suggested by Swain (1997 Swain, D. P. 1997. A model for optimizing cycling performance by varying power on hills and in wind. Medicine and Science in Sports and Exercise, 29: 1104–1108. [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). For a mean power of 289 W over the “standard” 40-km time-trial, a time saving of 26 s was observed with a power variability of 10%. The largest time savings were found for the hypothetical riders with the lowest mean power output who could vary power to the greatest extent. Our findings confirm that time savings are possible in cycling time-trials if the rider varies power in parallel with hill gradient and wind direction. With a more recent mathematical model, we found slightly greater time savings than those reported by Swain (1997 Swain, D. P. 1997. A model for optimizing cycling performance by varying power on hills and in wind. Medicine and Science in Sports and Exercise, 29: 1104–1108. [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). These time savings compared favourably with the predicted benefits of interventions such as altitude training or ingestion of carbohydrate-electrolyte drinks. Nevertheless, the extent to which such power output variations can be tolerated by a cyclist during a time-trial is still unclear.     

浅谈数学不等式理论及其应用

章扼要地介绍了数学不等式理论及其应用的意义、历史、现状、发展、地位和作用，包括不等式理论发展过程中的重要事件、不等式理论的哲学、不等式理论方面的最新作、20世纪末的最后几年创刊的数学不等式理论及其应用领域的专业杂志、在澳大利亚创建的学术团体RGMIA的情况介绍等。     

将数学建模思想融入高等数学教学的探索

本文简单阐述了将数学建模思想融入高等数学课程教学的必要性,并且给出了两个可以融入高等数学课程的数学建模教学案例,让大家了解数学建模思想和高等数学教学相结合的具体实现。     

抓好"数学建模"推动高职数学教学改革

随着计算机的广泛使用，对高职数学教学提出了全新的要求。为了提高学生借助于计算机解决实际问题的能力，高职数学教学应结合教学内容，选集一些“数学建模”案例向学生介绍．使学生了解数学建模的含义，启迪学生的数学思维，促使他们更好地应用数学、品味数学、理解数学和热爱数学．促进学生创新能力的培养。     

新形势下《数学分析》课程教考点分析

根据师专数学教育专业专业课时压缩的实际情况，就《数学分析》课如何开展教学和考查，对相关知识点进行分析并提出不同的教学目标层次。以实现在不降低教学质量的同时，缓解并进一步解决内容多与课时少的矛盾。     

层次分析法在人才招聘中的应用研究

目的探讨层次分析法在人才招聘中的应用.方法采用层次分析法（AHP）,将人的主观判断用数量形式表达和处理.结果采用AHP对人才招聘问题进行了研究与讨论,利用AHP法得出应聘人员对各工作类别的权重,通过建立最优分配模型,给出了按需择优录用分配方案.结论层次分析法可以对人才招聘中择优录用的分配方案给出一种好的方法.