数学教育应增强应用意识

随着科学技术的发展,社会对人的数学素质提出了较高的要求。为了更好地适应社会的需要,数学教育应注重数学的应用价值,增强学生的数学应用意识和应用能力。     

高等数学教学中体现数学动态思维的作用

本文从数学认知活动中所具有的动态思维角度出发，围绕数学教学方式的完善、学生创新思维的培养以及提高学生数学学习信心等方面，阐述了在高职类院校的高等数学教学中体现数学动态思维所具有的积极作用，这将有利于帮助学生形成良好的数学思维品质。     

几何直观在数学分析教学中的应用

本文简要论述了几何直观在数学分析的概念、命题、解题教学中的应用,意在克服教学中重视抽象思维而忽视形象思维的片面性。     

学生数学问题解决观的个案刻画

学生的数学信念与其数学学习有着密切的关系.因此,探讨小学生的数学观问题是十分必要的.多数学生认为数学是有趣味性的,但随着年级的升高,兴趣却呈下降趋势;数学的难易程度直接影响学生对学习数学的兴趣;许多学生看重的是数学的实用性;多数学生对数学本质的认识还很模糊,这主要是受教师课堂教学的影响.     

数学课程的探讨与设计

在数学教学中,既要重视数学基础知识,又要注重知识渗透、加强数学交流、感受数学文化、加强数学应用、挖掘思维热点、开发教学资源.     

Effect of pupil factor on mathematics achievement in cambodian urban primary school

It is generally observed in the literature of school effectiveness research that there are two broadly categorized factors influencing pupil achievement. However, the results of the studies based on empirically collected data vary from country to country and from time to time. Premised on this inconsistency of results and gaps in knowledge of this field in Cambodian education, this study was conducted in order to examine the effect of pupil factor on their mathematics achievement. The data were collected from pupils by means of questionnaires and a mathematics test. After controlling such factors as pupils’ poverty during the research design, the results of the step wise regression analysis showed that pupils’ interest in mathematics was a significantly positive contributor to their performance. Pupils’ absence frequency, gender, grade repetition and preschool attendance had significantly negative effects on their mathematics outcome.     

Problems, perseverance, and mathematical residue

This paper reports on a qualitative study in which three third grade students were presented with a mathematical challenge related to the volume of a cuboid. The task required the construction of containers and the enumeration of the multi-link cubes¹ held by each of the containers. The study videotaped and investigated the students working as a group through potentially seven different problem solving categories, and how they dealt with the student-generated mathematical dilemmas that surfaced during their exploration of the original problem. The tapes were examined for the problem solving actions that the students demonstrated, and an analysis of the students' counting strategies and solutions explored the connection between the children's spatial structuring and their use of numerical operations in enumerating 3-D rectangular arrays of cubes. The notions of perseverance and control are considered as they emerge during autonomous problem solving and the mathematical residue that results from the developing understanding of volume is discussed.This revised version was published online in October 2005 with corrections to the Cover Date.     

数学知识观与数学课堂

传统的数学知识观把数学知识看成是概念、原理、定理，符号等和静态集合体，将数学教学看成是“传授-接受”，有必要对其进行教育学的批判，而现代数学知识观测把数学和知识看成是一种动态的生成过程，将数学教学看成是“活动-建构”强调学生自身的经验与体验，数学学习是一个主动建构的过程。     

数字时代中的数学教材研究与开发及使用——第三届国际数学教材研究和发展会议综述

数学教材往往是数学课程发展、研究过程及整个数学教育史中最为可靠和重要的历史见证,对于"定义"作为学校科目的数学、为学生创设学习机会、为教师提供工作及专业发展上的支持,数学教材都发挥着举足轻重的作用。数学教材中的内容、开发及其使用已然成为数学教育研究的重要主题之一。通过对第三届国际数学教材研究和发展会议(ICMT3)的大会报告及主题研讨的介绍,对数字时代下的数学教材在设计、内容、使用及评价等提出新的思考,也进一步揭示出对理解教材在数学的教与学的作用存在更大更高的需求。     

韩国21世纪基础数学教育课程评介

韩国学生在第三届国际数学及科学研究大会上取得了数学素质测试第二名，科学素质测试第一名的好成绩，这与韩国课程的先进性是分不开的。现代意义上的韩国基础数学课程改革已进行了7次。从2000年起实施的第七次教育课程首次着限于“差别化课程（DC）”的实施。其主要特征是：⑴将基础教育时期分为2阶段；⑵DC分为“基于水平等级的差别化课程（LBDC）”，“扩展性与补充性差别化课程（ESDC）”以及“学科选择性差别化课程（SSDC）”3类。第七次数学教育课程改革在内容设置及评价方法上均有重要变化，这对克服东亚共有的考试文化障碍将有积极的意义。