对自然数9几个特殊运算性质的探讨

在人类历史,尤其是中国的历史上,自然数9被赋予了许多神秘的内涵。该文从自然数9与其它自然数运算的结果出发作进一步分析,推导出有关自然数9的三个定理及其五个推论,深入探讨9在四则运算中体现出的特殊性质,并对这些性质进行了初步的应用。     

步枪作战效能评估

应用联系数、关联度、模糊综合评判以及层次分析方法分别对两代(共10种)冲锋枪和自动步枪作战效能的评估和排序进行了讨论,并对其作战效能和技术水平进行了判断.所得结论对了解我军装备的先进程度,适应新时期军事科学和战备具有特别重要的意义.     

从换路定律证明看扩充实数的必要性

指出了在电路分析课程中换路定律证明方面存在的矛盾,证明矛盾的根源在于实数的完备性,并依此说明了建立广义实数概念的必要性.     

有界模糊数的比较与排序

利用两模糊数之间的距离公式,将模糊数之间的比较转换为模糊数与纵轴距离之间的比较。在此基础之上定义了模糊数空间上的序关系,并证明了它们的一些性质。这种方法的排序效果与人们的直觉是一致的且不悖逆于实数的自然序。利用距离方法定义的序关系,便于理解与计算机实现。     

论韩翃诗歌之“气骨顿衰”

文章分析了韩翃诗歌所表现出的“气骨顿衰”的现象。从道德层面看,韩诗存在着立意不高、近乎猥琐的情况;从情感层面来看,韩诗缺乏真情实感。     

Hilbert‘s Sixteenth Problem and Its Generalization

This paper deals with Hilbert‘s 16th problem and its generalizations.The configurations of all closed branches of an algebraic curve of degreee n are discussed.The maximum number of sheets for an algebraic equation of degree n and the maximum number of limit cycles for a planar algebraic autonomous system are achieved.The author also considers different generalizations and some related problems.     

Evaluating a technology supported interactive response system during the laboratory section of a histology course

Monitoring of student learning through systematic formative assessment is important for adjusting pedagogical strategies. However, traditional formative assessments, such as quizzes and written assignments, may not be sufficiently timely for making adjustments to a learning process. Technology supported formative assessment tools assess student knowledge, allow for immediate feedback, facilitate classroom dialogues, and have the potential to modify student learning strategies. As an attempt to integrate technology supported formative assessment in the laboratory section of an upper‐level histology course, the interactive application Learning Catalytics^TM, a cloud‐based assessment system, was used. This study conducted during the 2015 Histology courses at Cornell University concluded that this application is helpful for identifying student misconceptions “on‐the‐go,” engaging otherwise marginalized students, and forming a new communication venue between students and instructors. There was no overall difference between grades from topics that used the application and grades from those that did not, and students reported that it only slightly helped improve their understanding of the topic (3.8 ± 0.99 on a five‐point Likert scale). However, they highly recommended using it (4.2 ± 0.71). The major limitation was regarding the image display and graphical resolution of this application. Even though students embrace the use of technology, 39% reported benefits of having the traditional light microscope available. This cohort of students led instructors to conclude that the newest tools are not always better, but rather can complement traditional instruction methods. Anat Sci Educ 10: 328–338. © 2016 American Association of Anatomists.     

三个连续的发现与用几何方法研究数论的新构想

在对毛比斯面的证明方法的深入研究中，发现了一种证明方法——“递推法”；在对“递推法”的进一步探索中，发现了一类新几何体——“棱环体”；在研究“棱环体”的边数的变化规律中，得到了一张“数表”，对“数表”的进一步研究，又相继发现了“最大公约数定理”、“素数规律”等．“棱环体”的发现，引发了“扭曲几何学”的构想；“数表”的发现，为一种新的数论研究方法——“数论的几何研究法”的提出，奠定了基础。     

Discriminating Quantity: New Points for Teaching Children with Down Syndrome About Number?

ABSTRACT

The focus of much mathematics teaching has been on the acquisition of counting, an area where children with Down syndrome can experience particular difficulties. Research with typically developing children has highlighted how early awareness of quantity provides a strong platform for the acquisition of later mathematical skills and programmes of early intervention have been introduced. Many of these studies are embedded in the work and traditions of developmental and cognitive psychology and can be difficult to access. Consequently, this is an area that has been largely ignored in the curricula of children with Down syndrome. This paper seeks to make this literature more available. It systematically reviews previous research with children with Down Syndrome on these early foundations. It considers seemingly contradictory findings in the light of differences in tasks, their presentation and instructions, and the responses required, in order to draw conclusions and reflect on the implications for teaching and learning. Some of these propositions are in contrast to existing practices and call for further research to test their effectiveness.     

关于Lucas数的一个程序解

在分析Lucas数列{Ln}的有关性质及相关规律的基础上定义新的广义Lucas数，利用TURBOC语言，给出了Lucas数及广义Lucas数的一个程序解，从而使其在组合数学以及工程技术中的应用范围进一步拓宽。