构造数学模型解题例说

依据命题的结构特点，精心地构造一个“数学模型”，把陌生的问题转化为熟悉的问题，把未解决的问题转化为已解决的问题。     

网络教育中的主客体关系刍议

在中外教育史上，不同时期对于教育主客体关系的论述存在着很大争议。网络教育的出现，极大程度地变革了传统教育：如教育资源的丰富性与共享性，交互的学习方式，多种教学组织形式的结合，以学生为中心的教学模式以及终身教育理念的推广。这些变革势必影响着人们对网络教育中主客体的认识：如更注重学生的主体性价值；教师主体性的客体化；完善互联网平台的建设等。     

《数学与科学进步》课程的设计与实施

《数学与科学进步》于2004年3月开课,至今已开设三十余次.2008年9月,《数学与科学进步》作为"浙江省重点教材"出版.课程共9章,分为3部分:首先以"变化着的数学观"导入,阐述数学已不仅是一门学科,更是一种技术,它从科学的幕后走向了前台。     

非数学类研究生《统计分析方法》教学改革初探

针对非数学专业研究生数学素养参差不齐的实际状况,根据研究生数学修养的培养要求,为了更好地让学生们掌握这门具有广泛实用意义的课程的理论与方法,结合多年来《统计分析方法》课程教学的实践经验,提出对非数学类研究生《统计分析方法》课程教学改革的缘由、思路和目标,并对具体实施方法做了初步探讨.     

Developmental changes in the relationship between magnitude acuities and mathematical achievement in elementary school children

The present study examined the developmental change in number and length acuities and their respective relationship with achievement in various domains of mathematics in second vs. fourth graders. Length acuity was measured with a comparison task, in which participants were asked to choose the longer between a pair of lines. Number acuity was measured with a comparison task, in which the participants were asked to choose the more numerous between a pair of dot arrays. Within each grade, length acuity was more precise compared to number acuity. Number acuity was higher in fourth compared to second grade, but length acuity did not differ between grades manifesting a ceiling effect. In second grade, only length acuity was correlated with overall math achievement, especially Geometry and Arithmetic. In fourth grade, only number acuity was correlated with overall mathematical achievement, especially Number Concept and Applied Problems. Taken together, the present study demonstrates that the relationship between magnitude acuities and math achievement dynamically change over the course of elementary school years and that the strength of this relationship may depend on the type of magnitude and the domain of mathematics.     

Turning to case studies as a mechanism for learning in action learning

Case studies are a useful means of capturing and sharing experiential knowledge by allowing researchers to explore the social, organisational and political contexts of a specific case. Although accounts of action learning are often reported using a case study approach, it is not common to see individual case studies being used as a learning practice within action learning sets. Drawing on a network action learning (NAL) project, this paper explores how the process of coaching, articulating, authoring, sharing and editing case studies provided a vehicle for learning and research within a NAL set. The intended contribution of this paper to the theory of action learning is to extend the range of learning practices to include the case study within the NAL set. It discusses how case studies act as boundary objects, which are artefacts that can be used to cross boundaries between groups in order to facilitate learning that might not otherwise occur.     

将数学文化融入独立学院数学课堂的教学实践

随着人们对数学文化认识的不断深入,数学文化的教育价值越来越受到广大数学教育工作者的关注和重视,近年来数学文化课程的教学在各高校开展得如火如荼,也有了较为成熟的教学模式和教学方法。综合考虑独立学院的实际情况,对数学文化的课程融入进行研究：（1）更新教育观念,明确数学文化的地位;（2）优化数学课程内容,注重教学策略;（3）以人为本,改变学生的学习方式。     

基于互联网的常微分方程数值解法的可视化设计

利用Microsoft Visual J＋＋6.0作为实验开发平台,采用Java语言及Applet嵌入网页技术,选择预估-校正法、龙格-库塔相结合的数值算法,实现了基于互联网的常微分方程数值解法的可视化,并通过实例演示该实验设计的各功能,包括用户对相关原理学习、数据的录入、修改、函数识别、常微分方程的求解、绘图及打印等.     

也从转注字的例字谈起

质疑的对象是认为义旁表字义并注声的转注说。＂转语＂是同一民族语言内的音义变化。王力先生说：＂上古,‘目’与‘眼’不同义（眼是眼珠）。＂孙中运先生把王力先生的话篡改成＂‘目’与‘眼’不同义＂。＂眼＂来源于＂艮＂不来源于＂目＂。