数形结合思想在数学解题中的应用

例说数形结合思想在数学解题中的应用,通过构图解决函数、方程、不等式、复数等代数问题,用坐标系或向量等代数方法解决几何问题。     

Sources of self-efficacy beliefs of students in a technology-intensive asynchronous college algebra course

The purpose of this study was to explore the influence of the four traditionally hypothesized sources of self-efficacy on learners' self-efficacy beliefs regarding learning mathematics in an asynchronous environment. The context of the study was a college algebra and trigonometry course offered in an asynchronous, technology-intensive emporium model at a large, public university in the southeastern United States. Participants (N = 99) completed surveys assessing their self-efficacy to learn mathematics in this environment as well as to assess their mastery experiences, vicarious experiences, social persuasion, and physiological state. Regression analysis indicated that in this environment, the most important factors are vicarious experiences, followed by affective/physiological influences.     

高等代数观点下的中学数学问题研究

运用高等代数的理论、方法、思想与观点剖析中学数学相关内容的若干问题,加强课程教学中理论联系中学数学实际,探索高等数学观点对中学数学教学的指导作用,深化理解中学数学的相关内容,促进高中数学新课程的改革与实践。     

本体中同种语义关系间的可传递规律研究

语义传递是研究知识组织、语义相关度以及知识挖掘与推理等信息科学领域的关键因素,但是由于缺乏语义传递判断的计算机模拟限制了其在信息科学领域的应用.语义关系间的可传递性是语义传递判断的关键因素,其规律性特质反映出了语义传递的相对稳定性,这种稳定性使得语义传递判断的计算机模拟成为可能.本文主要围绕同种语义关系间的可传递性规律获取方法,基本获取方法的经典型语义关系的传递规律,规律检测以及传递规律应用四个方面展开了研究,目的在于为语义传递判断的计算机模拟以及语义传递在信息领域中的应用提供基础.     

Leibniz流形上的几种运算

通过Leibniz代数的理论来研究Leibniz流形上的运算.首先验证了Leibniz流形上分级张量代数是Leibniz代数,然后由Leibniz代数理论给出Leibniz流形上的三种运算及其性质,为深入研究Leibniz流形理论提供了运算工具,从而进一步完善了Leibniz流形的理论。     

An intensification approach to double-block algebra: A pilot implementation of Intensified Algebra in a large urban school district

Double-block instruction has become a popular strategy for supporting struggling mathematics students in algebra I. Despite its widespread adoption, little consistent evidence supports the attributes of a successful double-block design or the effectiveness of this instructional strategy. In this study, the authors examine a pilot implementation of a double-block strategy—instantiated in the program Intensified Algebra—that combines core algebra content with insights from research on how students learn mathematics and explicit noncognitive supports focused on key attitudes, beliefs, and behaviors essential to student success. The results of the study show that, when implemented with fidelity, participation in the program significantly increased student achievement on the state end-of-course algebra I assessment.     

布尔代数的一个等价性定义的证明

证明了布尔代数等价于一个只有二元部分运算的代数系统。     

Banach代数中鞅变换的若干收敛性

主要讨论了Banach代数中鞅变换的收敛性,指出在一类条件下,鞅变换是依范数收敛及几乎处处收敛的.     

谈《近世代数》教学中的启发式教学

在不完全具备抽象思维能力的条件下,讲授《近世代数》课程是一件难事.根据课程的知识结构和内容,我们采用了举例法、比较法及图像法等启发式教学方法,取得了比较好的教学效果.     

基于线性代数的习题评价系统的设计

线性代数是工科院校一门重要的数学基础课程,教师如何才能做到因材施教,学生如何才能提高解题能力,是迫切需要解决的一个教学问题。本文介绍了自行开发的基于线性代数的习题评价系统,该系统能有效地满足师生双方的需求。