一个多重极限的几种证明方法

把xx(x1,x2,…,xn)→(0,0,…,0)x1sin x1 x2sinx2 x…xnsinx2/x12 x22 …xn2=1看作limx→0sinx/x=1在元函数的自然推广,并运用n维球坐标、教学归纳法以及重极限与累次极限的关系等三种方法给出证明.     

数学解题学习中的元认知

解题的元认知结构是数学解题认知结构的重要组成部分，波利亚的解题理论给出了没有冠以心理学名词的解题元认知理论体系，数学解题元认知能力的提高，有赖于解题学习者善于运用波利亚的“提示语”以及善于提炼具有个人风格的“提示语”。     

突发事件网络谣言传播规律模型研究

分析突发事件网络谣言发生机制,以网民数量变化为研究对象,构建突发事件网络谣言传播规律的宏观模型和微观模型,利用MATALB数值仿真和相轨线分析,研究突发事件网络谣言的传播机理,探讨控制谣言传播的因素,并为政府控制网络谣言传播制定长期策略和近期策略。     

浅谈数学创新教学的三个关键性问题

以笔者的亲身实践浅谈开展数学创新教学不可回避的三个关键性问题，培养学生质疑求异能力，组织课堂讨论，教师的示范作用。     

基于数学形态学的锅炉火焰图像骨架提取

本基于二值数学形态学，建立了数字图像骨架提取方法，并给出了相应的算法．同时，对结构元素序列进行了研究，结构元素序列的选取是骨架提取的关键．最后，应用数字图像骨架提取算法，对锅炉火焰图像进行了处理．处理结果表明，所提取的骨架能够准确地描述火焰图像的几何形状．     

柯西不等式证法探讨

利用配方法、构造二次三项式、二元二次型的正定性、拉格朗日恒等式、行列式性质、数学归纳法以及算术平均-几何平均不等式等7种方法给出了柯西不等式的7种证法.     

Analog of parental empathy: Association with physical child abuse risk and punishment intentions

Objectives

Current research has been inconsistent in corroborating that parents’ compromised empathy is associated with elevated physical child abuse risk, perhaps in part because of an emphasis on dispositional empathy rather than empathy directed at their own children. Research has also relied on self-reports of empathy that are susceptible to participant misrepresentation. The present study utilized an analog task of parental empathy to investigate the association of parental empathy toward one's own child with physical child abuse potential and with their tendency to punish perceived child misbehavior.

Methods

A sample of 135 mothers and their 4–9 year old children were recruited, with mothers estimating their children's emotional reactions using a behavioral simulation of parental empathy. Mothers also provided self-reports on two measures of child abuse potential, a measure of negative attributions and expected punishment of children using vignettes, as well as a traditional measure of dispositional empathic concern and perspective-taking.

Results

Findings suggest that parental demonstration of poorer empathic ability on the analog task was significantly related to increased physical abuse potential, likelihood to punish, and negative child attributions. However, self-reported dispositional empathy exhibited the pattern of inconsistent associations previously observed in the literature.

Conclusions

Parental empathy appears to be a relevant target for prevention and intervention programs. Future research should also consider similar analog approaches to investigate such constructs to better uncover the factors that elevate abuse risk.     

数学学习策略的教学

学习策略的教学已成为教育领域中重要的教学模式,学习策略的学习是重要的教学内容.从数学本身的抽象性、系统性、实用性、工具性等特点出发、对数学基础知识的教学策略,数学问题解决的教学策略,数学学习动力的教学策略及数学学习监控的教学策略等入手,论述如何在数学课堂教学中传授数学学习策略的问题.     

数学建模思想在高职数学教学中的运用研究

针对高职教育的特殊性提出在高职数学教学中引入数学建模的思想和方法,介绍从数学概念的形成、定理证明、习题讲解3个方面将数学建模思想和方法融入高职数学的教学中,从而激发学生学习数学的兴趣,提高学生解决实际问题的能力。     

Who is not multilingual now?

What is the relationship between research into multilingualism and research concerned more generally with language and communication in mathematics education? Diversity in linguistic practices is universal in modern society and poses problems for teaching and learning even in apparently monolingual contexts. Research in multilingualism and mathematics education offers constructs and insights that can inform research and pedagogy more widely.