浅谈新《混凝土结构设计规范》(GB50010-2001)的特点

本文在分析总结新旧《混凝土结构设计规范》特点的基础上，指出，今后除在教学上要讲授新规范内容，设计上要遵守新规范要求，而在科研上要对规范中涉及的一些问题进行研究探索。     

Some implications of the results of a case study for the design of pre-constructed, dynamic geometry sketches and accompanying materials

The study that informs this article was undertaken to investigate the benefits and limitations of using pre-constructed,web-based, dynamic geometry sketches inactivities related to deductive proof at the secondary school level. Two distinct themes emerged from analysis of the results– first, the relationship between the activities and the development of geometric thinking skills, and second, the relationship between the design of the materials, and the exploration process. This article focuses on the latter. An analysis of the data showed that task question and sketch provision must work together to create an environment for exploration. It also indicated that explicit attention to visual interpretation and exploration using change is required in order for students to benefit fully from their experiences with pre-constructed dynamic geometry sketches. This article draws attention to the idea that pre-constructed dynamic sketches(whether web-based or not) and accompanying materials are central elements of the learning activity of which they are a part,and therefore, that decisions about their design have the potential to support or impede the development of exploration strategies and geometric thinking skills. An examination of student responses to particular questions in light of visual and dynamic geometry research suggests that through the materials we may be able to improve students' use of the mathematical investigation process in exploring pre-constructed dynamic geometry sketches. This revised version was published online in August 2006 with corrections to the Cover Date.     

《初等几何》教学现状与改革的讨论

高师院校<初等几何>教学应着重发展师范生的空间能力和体会几何证明的必要性和重要性,为以后教授中学几何做好准备.     

三二次长方体有限元的两个弱估计

对于某种三维椭圆边值问题，首先介绍了三维投影型插值算子，然后利用这一算子得到了长方体剖分下三二次长方体有限元的两个弱估计，通过这两个弱估计也可讨论三二次长方体有限元的超值逼近。     

集中式足球机器人视觉子系统的研究

简要概括了YSU足球机器人系统的视觉结构框架,对视觉系统的关键技术进行了详细介绍,通过几何矫正,克服了成像系统本身存在的图像形变问题.为了提高足球机器人图像处理的速度与精度,在分析了RGB彩色空间模型的优缺点后,提出采用HSV彩色空间模型进行图像处理,并根据足球机器人比赛的实际情况对HSV彩色空间模型做了相应的改进.此外,提出了一种基于连续图像相关性的顺序网格和种子填充相结合的目标搜索方法.     

La dialectique ancien-nouveau dans l'intégration de Cabri-géomètre à l'école primaire

In this article, we study the conditions and constraints of the integration of the dynamic geometry software ‘Cabri’ in the teaching of geometry in ordinary primary school classes (10 years old pupils). We focus our attention on the way the dialectic between old and new is working during this integration, looking at the types of tasks and techniques proposed in class by the teachers. The ‘good equilibrium’ between old and new ways of doing appears as one of the main conditions of integration as it allows to reconcile innovating and usual activities in the everyday life of the class. This revised version was published online in July 2006 with corrections to the Cover Date.     

Banach空间中的局部各向一致凸和局部弱紧一致凸(英文)

1977年,Mark.A.Simith在其博土论文中(见[6])引入Banach空间中的弱紧、一致凸(URWC)凸性新概念,并给出了一个Banach空间是URED但不是URWC的例子,以及一个Banach空间是URWC但不是WUR的例子。本文继续Mark.A的工作,引入了Banach空间中的局部各向一致凸(LUREO)和局部弱紧一致凸(LURWC)两个凸性新概念。作为本文的重要结果,本文给出了一个Banach空间是LURED但既不是URED也不是LURWC的例子;一个Banach空间是LURWC但不是LURWC的例子。特别,本文还证明了熟知的严格凸(SR),实际上闵是本文所新引入的一种局部一致凸性,即:局部各向一致凸。从而使严格凸在凸性分类中找到了一个恰当的位置。通过本文的工作,使Banach空间中的凸性类型得到了完善。     

Sim Wall： a practical user-friendly stereo tiled display wall system

SimWall is a user-friendly, stereo tiled display wall system composed of 18 commodity projectors operated by a Linux graphics cluster. Collaborating together, these projectors work as a single logical display capable of giving a high-resolution show, large-scale, and passive stereo scene. In order to avoid tedious system setup and maintenance, software-based automatic geometry and photometric calibration are used. The software calibration is integrated to the system seamlessly by an on-card transform method and is transparent to users. To end-users, SimWall works just as a common PC, but provides super computing, rendering and displaying ability. In addition, SimWall has stereoscopic function that gives users a semi-immersive experience in polarized passive way. This paper presents system architecture, implementation, and other technical issues such as hardware constraints, projectors alignment, geometry and photometric calibration, implementation of passive stereo, and development of overall soft- ware environment.     

由一本20世纪20年代的中国初中平面几何教材引发的思考

一本20世纪20年代的中国初中平面几何教材具有以下特点:开门见山、直入主题,语言简洁明了;逻辑严密,注重内容的系统性;体现理论和实际相结合;适当体现"数"与"量"、"动"与"静"的结合。从这些特点出发,引发我们进行以下思考:1.教学方法的选择影响到教材的实施;2.教材的变化要结合时代背景,考虑实施对象;3.要在传承的基础上发展教材。     

《课程标准》理念下立体几何教学内容与教学方式的变革

《普通高中数学课程标准(实验)》理念下的立体几何教学内容,从形式到结构都较以往的大纲要求有较大的改动:变化的核心是理念的变化,几何教育价值观的变化,而最突出的变化就是由逻辑推理到合情推理与逻辑推理并重。据此,教师在教学策略上要依据《课程标准》的新理念去积极适应这种变化,充分利用"观察""思考""探究"等教学过程展开学习活动,把空间观念的建立和空间想象能力的培养放到突出的位置,要试图使学生经历观察、实验、猜想、证明等数学活动,发展合情推理和初步的演绎推理能力。