教育专业规划的一个定量分析问题

本依据教育专业规划的定量分析方法，讲述了规划一所中学的办学模型的数学手段，提出了需考虑的主要因素，介绍了这些因素的量化方法，所应用的数学模型。     

Ways of talking and ways of positioning: Students’ beliefs in an inquiry-oriented differential equations class

As part of developmental research for an inquiry-oriented differential equations course, this study investigates the change in students’ beliefs about mathematics. The discourse analysis has identified two different types of perspective modes - i.e., discourse of the third-person perspective and discourse of the first-person perspective - in the students’ mathematical narratives, depending on their ways of positioning themselves with respect to mathematics. In the third-person perspective discourse, the students positioned themselves as passive recipients of mathematics that has been established by some external authority. In the first-person perspective discourse, the students positioned themselves as active mathematical inquirers and produced mathematics by interweaving their own mathematical ideas and experiences. Over the semester, students’ mathematical discourse changed from third-person perspective narratives to first-person perspective narratives. This change in their discourse pattern is interpreted as an indication of change in their beliefs about mathematics. Finally, this article discusses the instructional features that promote the change.     

高等级公路路线方案的多目标量化优选

应用最小二乘法准则,并改进了层次分析法判断矩阵的构成,获得考虑专家评价水平的诸影响因素权向量;基于集值统计法和属性数学原理,建立了对高等级公路路线方案量化综合评价优选模型,并给出了计算实例.     

补孔措施目标井层优选方法

油井补孔措施就是增加射开新的油层,是保证油井高产、油田持续开发的重要增产措施.而补孔措施效果好坏,主要取决于目标井层的选择是否合适.分析了影响油井补孔措施效果的因素,认为主要包括两方面共7个因素,一方面是井因素,包括全井含水率和全井日产油量共2个因素,另一方面是小层因素,包括小层渗透率、小层孔隙度、小层有效厚度、小层含油饱和度和小层地层压力共5个因素.在此基础上,建立了油井补孔措施目标井层优选方法,该方法以模糊数学为基础,通过综合评判对侯选井层打分,从而优选补孔措施目标井层.实际应用结果表明,利用该方法优选补孔措施目标井层,可靠性高,补孔措施实施后效果好.这种方法具有较高的学术与实用价值.     

含有各阶导数的高阶微分方程边值问题三个单调正解的存在性

利用五个泛函的不动点定理,研究一类含有各阶导数的2m阶微分方程边值问题的三个单调正解的存在性.     

Music as Embodied Mathematics: A Study of a Mutually Informing Affinity

The argument examined in this paper is that music – when approached through making and responding to coherent musical structures,facilitated by multiple, intuitively accessible representations – can become a learning context in which basic mathematical ideas can be elicited and perceived as relevant and important. Students' inquiry into the bases for their perceptions of musical coherence provides a path into the mathematics of ratio,proportion, fractions, and common multiples. Ina similar manner, we conjecture that other topics in mathematics – patterns of change,transformations and invariants – might also expose, illuminate and account for more general organizing structures in music. Drawing on experience with 11–12 year old students working in a software music/math environment, we illustrate the role of multiple representations, multi-media, and the use of multiple sensory modalities in eliciting and developing students' initially implicit knowledge of music and its inherent mathematics. This revised version was published online in July 2006 with corrections to the Cover Date.     

数字技术与科技进步

本文讨论并提出数字技术与数学科学的内在联系 .并根据实际的分析和研究 ,认为数字化技术只是信息化促进科技发展的一个阶段 ,尽管数字技术已经并将继续推动科技和生产力的发展速度     

Hamilton-Jacobi-Bellman方程的罚有限元估计

本文的研究对象为Hamilton-Jacobi-Bellman方程,在对该方程作出有限元估计的基础上利用罚有限元方法对其结果进行改进,并得出相应的收敛性和误差估计。     

综述“维修线性流量阀时的内筒设计问题”

综述了竞赛中C题的完成情况与存在问题.