胎紧概率测度序列的一种构造

常见的胎紧测度序列例子概念过于抽象，形式比较复杂，理解相当困难，并且一般的书籍资料很少列举．采用一种形式新且易懂的方式构造胎紧测度序列，即在一维Borel概率测度空间这一熟悉背景下，通过建立平面几何图形及运用系列几何作图的技术性处理，将胎紧测度序列以具体化、直观化的图形形式展现出来，同时更清楚地体现了测度的实质含义及胎紧与非胎紧之间的本质区别．     

浅谈距离空间中概率测度的拓扑性质:胎紧与弱紧间的关系

本给出在距离空间中概率测度的拓扑性质胎紧与弱紧的定义及其有关结论。     

模糊测度的伪距离生成性质和依测度收敛

讨论了下半连续模糊测度的 3种结构特性 :( 1)伪距离生成性质 ;( 2 )p类型伪距离生成性质 ;( 3)零零可加性与半连续模糊测度空间上可测函数序列的收敛性之间的关系 .对这 3种结构特性分别给出了一组等价条件 .证明了在S紧空间上的一个有限模糊测度是零零可加的充分必要条件是它有伪距离生成性质     

H(o)lder不等式的新推广

给出了H(o)lder不等式在n维及无穷维序列空间的离散形式的推广及其在任意测度空间(X,β,μ)上的积分形式推广.     

Hoelder不等式的新推广

给出了Hoelder不等式在n维及无穷维序列空间的离散形式的推广及其在任意测度空间（X，β，μ）上的积分形式推广。     

测度K-框架

通过测度框架和K-框架理论,定义了测度K-框架,并着重研究了测度K-框架与测度框架的关系,结合测度框架的分析算子、合成算子以及算子K对测度K-框架的最优界进行刻画.并利用算子K给出了紧测度K-框架成为测度框架的等价条件以及相关的一些结论.     

紧型条件下四阶两点边值问题解的存在性

通过对线性方程算子谱半径的论证及算子非紧性测度的讨论,利用凝聚场的拓扑度及不动点定理讨论了Banach空间四阶常微分方程边值问题解的存在性.     

研析序列式次中紧空间的等价描述

文中主要研析了序列式次中紧空间几个描述的等价性.同时得出一个结论:序列式中紧映射保持序列次中紧空间.     

中立型无穷时滞积分-微分方程适度解的存在性

利用Hausdorff非紧测度、解析半群和Darbo不动点理论研究相关半群在失去紧性的情况下,Banach空间中无穷时滞积分-微分方程适度解的存在性,推广和改进了已知结果.     

Rn上勒贝格测度的不同形式及应用

将外测度与内测度的不同等价形式加以归纳,并着重研究其应用,具有很大的灵活性及技巧性.     

A Developmental Study of Conservation Concepts with Five- to Ten-Year-Old Children

The concept of conservation and its development form one of the most interesting aspects of Piaget's theories. According to Inhelder, the foundation of reasoning, including logical, mathematical, geometrical, and physical reasoning, is built upon the concept of conservation of quantity. In a way, children's discovery of conservation is comparable to discoveries in science. Many studies have been conducted of the sequence of development of the concept of conservation in children. However, the results of these studies are not always consistent. The inconsistencies are usually in the age at which a certain type of conservation first appears and in the sequential order of appearance of different types of conservation.     

论高等数学的时序结构及其教学策略

时序是高等数学的定理、概念和形式的普遍特征。时序既是一个数学理论问题，也是数学教学中必须讲究的一个方法问题。注重数学教学的时序性，对于设计和组织教学，增强学生的时序意识，引导学生从整体上把握高等数学的概念和方法，进而提高教学效果具有重要意义。     

模糊测度的有限零可减性

引入了模糊测度的有限零可减性的概念 ,利用这一结构特性讨论了可测函数序列的几乎处处收敛、几乎一致收敛和伪性几乎一致收敛之间的关系 .模糊测度空间上的Egoroff定理得到进一步推广 .     

An Experimental Effort to Change the Achievement Test Profile

An experiment was performed to determine the effects of instruction in the Piacceleration program (PXL) on Hispanic Head Start students’ acquisition of Piagetian skills. The PXL is a hands-on, mastery-based program designed to systematically instruct children in the Piagetian skills of classification, seriation, and conservation. The PXL group performed significantly better than the control group on posttest measures of classification of objects by form, size, and orientation, and on measures of general classification and seriation. The two groups did not differ significantly on a posttest measure of intelligence, the Wechsler Preschool and Primary Scale of Intelligence-Revised (WPPSI-R). The participants who achieved concept mastery, however, performed significantly better than their nonmastery peers on the WPPSI-R Full scale.     

大学生“三生教育”实施三维论

实施“三生教育”对培养大学生生命理念、生存能力与生活观念的基础素质有着重要的作用。生命教育实施是大学生基础素质培养的前提,生存教育实施是大学生基础素质培养的关键,生活教育实施是大学生基础素质培养的保障。应形成由生命教育实施、生存教育实施和生活教育实施“三位一体”的“三生教育”实施模式,形成全方位、多层次、多角度的大学生基础素质培养体系。     

学习欲望学习条件学习需求--开放教育学情调查分析

调查表明，开放教育学生在信息化进程中逐渐认同现代远程教育，学习欲望日趋增强，学习需求多样化，工学矛盾仍然突出。牢固树立以学生为中心和共享文化理念，推进开放教育试点，改革导学模式，完善学习支助服务，加速网络学习资源建设，是解决工学矛盾，满足学生个别化学习欲求的根本途径。     

关于数学母结构和测度空间的注记

数学母结构通常说只有代数结构、序结构和拓扑结构 ;但也有人认为测度也应该是一种母结构 .针对这一说法本文给出了测度空间如何由数学母结构建构而来的一个过程 ,从而否定了上述说法 ;并且讨论了相近概念距离空间与测度空间的关系 .     

The theory of figural concepts

The main thesis of the present paper is that geometry deals with mental entities (the so-called geometrical figures) which possess simultaneously conceptual and figural characters. A geometrical sphere, for instance, is an abstract ideal, formally determinable entity, like every genuine concept. At the same time, it possesses figural properties, first of all a certain shape. The ideality, the absolute perfection of a geometrical sphere cannot be found in reality. In this symbiosis between concept and figure, as it is revealed in geometrical entities, it is the image component which stimulates new directions of thought, but there are the logical, conceptual constraints which control the formal rigour of the process. We have called the geometrical figuresfigural concepts because of their double nature. The paper analyzes the internal tensions which may appear in figural concepts because of this double nature, development aspects and didactical implications.     

Children's inductive thinking during intrinsic and Euclidean Geometrical activities in a computer programming environment

This paper presents a case study investigating the knowledge constructed by two 12 year-old children working with a geometrical Logo microworld allowing the Logo turtle to measure distances, and turns relative to previously constructed points on the plane. A qualitative analysis of data consisting of everything that the children said, typed and wrote on paper during the 15 hours of the research, provided evidence of the children's developing use of concepts belonging to Plane Geometry. The measuring of angular and length quantities, enabled them to conjecture, reflect on and manipulate triangle properties and relations traditionally associated with Euclidean Geometry. Their developing awareness of the existence of geometrical relations in their work, encouraged an increase in their readiness to use and reflect on them. The paper concludes that the generation of learning environments such as the above may well enhance the opportunity for children to form inductive geometrical understandings.     

A Review of: “How to Talk About Hot Topics on Campus: From Polarization to Moral Conversation By Robert J. Nash,DeMethra LaSha Bradley,and Arthur W. Chickering”

As community colleges face increasingly tight budgets and calls for a renewed focus on improving student outcomes in the form of graduation rates, colleges must address the concept of access. How much access to higher education can they continue to provide low-skilled students in adult education and similar programs? One way to ensure access to these students is through formalized transition to college programs. The authors summarize characteristics of two transition program models and introduce research at a community college that evaluated the effectiveness of three characteristics in the models.