The Kissing Triangles: The Aesthetics of Mathematical Discovery

Papert's (1978) appeal to reconsider the power and possibilities of the aesthetic in mathematics learning is often ignored in mathematics education research. This paper begins with the premise, put forth by Dewey (1934), that the aesthetic structures many dimensions of inquiry and experience. In the same way that using particular paintings, musical compositions, or even everyday experiences has been instrumental to attempts by philosophers to understand the aesthetic dimensions of meaning and experience in artistic domains, I propose that analysing a particular encounter with mathematics may help reveal the nature and role of the often nebulous responses of elegance, beauty, and `fit' to which mathematicians lay claim in their mathematical activity. To achieve this, I draw on and adapt the defining features of the aesthetic character of experience set forth by the aesthetician Beardsley (1982). This, in turn, sheds light on the role thataesthetics can play in mathematical inquiry and experience, and provides initial categories and conjectures that can be used to investigate the potential roles of aesthetics in mathematics learning contexts.This revised version was published online in September 2005 with corrections to the Cover Date.     

电子自旋假说的提出及其历史经验

电子自旋是原子物理学和量子力学的重要概念，电子自旋假说的产生在物理学史上具有一定的特殊性，该文系统论述了电子自旋假说提出了与被物理学界接受的历史，并从荷兰莱顿理论物理研究的学术环境、乌仑贝克和哥德斯密“理论型”与实验型”的互补、艾仑费斯行的教育艺术等方面分析了其历史经验。     

数学的默会知识及其教学意义

讨论了数学默会知识的涵义以及主要特点,论述了数学默会知识对数学学习和数学研究的影响及其对数学教学的意义.     

关于极限理论的学习经验

分析极限理论在数学分析学习中的重要性，介绍学习极限理论的三点经验与体会，即充分理解基本内容；加强基本功训练；试着多问自己一些问题，学会举出各种各样的例子。     

指向学习体验的物质及其转化复习的教学实践——以“钠及其化合物”为例

学习体验是学生对学习内容、过程、方法、意义的自我感受和评估,对学生学习志趣、学习素养提升有积极正向作用。以钠及其化合物复习为例,将各类别物质间转化关系的构建、物质制备原理和条件的优选作为学习体验对象,依据学习体验的内在发展历程设计学习任务及活动,引导学生亲身体验学科认知方式、学科思维方法、学科应用价值,评价体验结果,激励学生自主学习发生。     

焦利氏秤各部件的修理和改装

分析焦利氏秤各部件的结构以及损坏原因,讲解修理的方法和过程,总结出一些对损坏的焦利氏秤各部件进行修理和改装的经验．     

Assessing the predictive effectiveness of the variety seeking and reinforcement models

Prediction of customer choice behaviour has been a big challenge for marketing researchers. They have adopted various models to represent customers purchase patterns. Some researchers considered simple zero–order models. Others proposed higher–order models to represent explicitly customers tendency to seek [variety] or [reinforcement] as they make repetitive choices. Nevertheless, the question [Which model has the highest probability of representing some future data?] still prevails. The objective of this paper is to address this question. We assess the predictive effectiveness of the well–known customer choice models. In particular, we compare the predictive ability of the [dynamic attribute satiation] (DAS) model due to McAlister (Journal of Consumer Research, 91, pp. 141–150, 1982) with that of the well–known stochastic variety seeking and reinforcement behaviour models. We found that the stochastic [beta binomial] model has the best predictive effectiveness on both simulated and real purchase data. Using simulations, we also assessed the effectiveness of the stochastic models in representing various complex choice processes generated by the DAS. The beta binomial model mimicked the DAS processes the best. In this research we also propose, for the first time, a stochastic choice rule for the DAS model.     

大学物理实验数据分析与处理软件的研究与实现

本文针对开发计算机数据分析与处理软件来提高实验效率,保证实验教学的质量,介绍了软件的主要功能以及软件开发中遇到的一些问题和解决办法     

从客户视角研究微型付款模式对企业绩效的影响

基于客户资产理论,从客户视角研究微型付款模式影响企业绩效的机制进行研究.采用问卷设计和数据收集方式,研究共回收有效问卷2260份.通过对这2260份有效问卷进行信度和效度检验、描述性统计分析、相关分析和多元回归分析,对关于微型付款模式影响企业绩效的假设进行实证,找出客户视角微型付款模式影响企业绩效的机制.