What Constitutes Effective Mathematics Instruction: A Comparison of Chinese Expert and Novice Teachers’ Views

Abstract

In this study, we examined the views of 10 experts and 10 novices on effective mathematics instruction in China. We found that all the participants valued students’ mastering of mathematical knowledge and skills and their development in mathematical thinking methods and abilities. Compared with novice teachers, expert teachers emphasized the development of students’ mathematical thinking and higher order thinking abilities and properly dealing with important and difficult content points. In contrast, novice teachers were particularly concerned about the effectiveness of teachers' guidance.     

Geiringer theorems: from population genetics to computational intelligence, memory evolutive systems and Hebbian learning

The classical Geiringer theorem addresses the limiting frequency of occurrence of various alleles after repeated application of crossover. It has been adopted to the setting of evolutionary algorithms and, a lot more recently, reinforcement learning and Monte-Carlo tree search methodology to cope with a rather challenging question of action evaluation at the chance nodes. The theorem motivates novel dynamic parallel algorithms that are explicitly described in the current paper for the first time. The algorithms involve independent agents traversing a dynamically constructed directed graph that possibly has loops and multiple edges. A rather elegant and profound category-theoretic model of cognition in biological neural networks developed by a well-known French mathematician, professor Andree Ehresmann jointly with a neurosurgeon, Jan Paul Vanbremeersch over the last thirty years provides a hint at the connection between such algorithms and Hebbian learning.     

Stabilization of a memristor-based chaotic system by intermittent control and fuzzy processing

This paper further investigates the problem of intermittent control of a memristor-based Chua’s oscillator and presents the oscillator as the T-S fuzzy model system. Based on Lyapunov stability theory, we design an intermittent controller to guarantee the stability of the chaotic system. Simulation results are presented to verify the effectiveness of the method.     

A scheme for generating a multi-photon NOON state based on cavity QED

A scheme for generating the two-mode maximally path-entangled state of multi-photon, i.e., the so-called NOON state, through use of cavity QED techniques is proposed. In the present scheme, the entanglement between two spatial modes is established by guiding a laser pulse through a single atom cavity firstly, and then is transferred to the entanglement of the fields of the two cavities. The multi-photon state is generated in either one of the cavities via the strong atom-light interaction stimulated by the laser pulse adiabatically. Consequently, the desired optical NOON state is obtained.     

Mediating and inducing quantum correlation between two separated qubits by one-dimensional plasmonic waveguide

We investigate the dynamics of quantum correlation between two separated qubits trapped in one-dimensional plasmonic waveguide. It is found that for a class of initial states, the quantum discord shows a sudden change phenomenon during the dynamical evolution. Furthermore, we demonstrate that the quantum discord can be enhanced if a proper product of the plasmon wave number and two qubits distance is chosen. Finally, we find that the non-zero quantum discord between two qubits can be created for the states without initial quantum discord during the time evolution of the system.     

构皮滩水电站双曲拱坝底孔混凝土施工技术

构皮滩水电站双曲拱坝底孔混凝土在施工过程中,针对底孔部位结构复杂、钢筋分布密集、混凝土种类多、标号高等技术特点,通过对施工模板规划布置及设计、混凝土下料控制、浇筑工艺及温度控制等采取合理的技术措施,保证了底孔施工的顺利进行。     

加筋土技术在土石坝滑坡治理中的应用

本文基于土石坝除险加固实际,对加筋土技术在土石坝出险加固中的应用进行探讨.利用ANSYS对某一土石坝现状和加筋状态进行二维有限元模拟,对前后的应力、位移结果进行分析比较.得出加筋在滑体土的中下部时效果最好、加筋层数越多,对坝体的变形控制的越好,但加强的效果逐渐减弱的结论.     

具有随机马尔可夫时延的网络控制系统H∞故障检测

针对存在随机时延的网络环境,研究了一类网络控制系统的H∞故障检测滤波器设计问题．考虑了可 由马尔可夫过程描述的随机时延,网络控制系统被建模成离散时间有限状态的马尔可夫跳变线性系统．基于此类模 型,构造了系统的残差发生器,相应的故障检测问题转化为H∞滤波问题．通过选择合适的滤波器增益,使得残差和 故障之间的误差尽可能地小,保证了残差对于未知输入的鲁棒性．以线性矩阵不等式的形式给出了故障检测滤波器 存在的充分条件,并运用锥补线性化方法完成了滤波器设计过程．数值算例表明,上述网络控制系统故障检测滤波 器不仅对故障敏感,同时对外界扰动具有鲁棒性．     

防火墙技术在校园网安全建设中的应用

随着网络技术的发展,越来越多的校园网加入Internet,校园网络作为学校重要的基础设施,在学校的教学、科研、管理和对外交流中扮演着不可替代的角色,校园网的安全状况直接影响着学校的工作效率。本文论述了防火墙技术在校园网安全建设中的应用。     

构建基于知识本体的教育领域知识库初探

近年来,知识本体的研究与应用越来越广,知识本体主要被用来描述特定领域的概念与关系的特性.因此领域内的知识关联呈现就成为重要的研究课题.本研究基于本体技术,应用于教育领域知识管理的分类,采用教学领域的知识结构作为研究主体,构建出不同类型的教学资源管理本体.采用教学管理作为研究主体,将教学管理分为教学类别、研究类别及服务类别三种类型,进而构建出三个不同方面的教学管理本体结构,系统以此结构为基础进行模糊推论,并与所搜集到的资料做完整的分析与比对,最后以网页的形式呈现给使用者.经系统测试,领域知识库的建立提供了获取具体对象的教学管理相关资料,达到了简化教学管理分析需求的目的.