问题提出和问题解决之间关系的问卷调查

“ 问题提出” 近些年来引起了许多学者的重视,这些学者一致认为“ 问题提出” 是数学课程的重要组成部分,甚至是数学教学活动的中心.“ 问题提出” 在课程与教学上的最大作用是它能够促使学生成为更好的问题解决者.“ 问题提出”和“ 问题解决” 相互促进,同时,“ 问题解决” 能力的高低也影响“ 问题提出” 的水平.调查表明,中国四年级学生的问题提出能力和问题解决能力之间存在很大的关系.     

大学数学与中学数学衔接问题的几点思考

大学数学是指高校理工科、管理及数学类专业涉及到的数学课程,也是很多专业学生学习后续课程的基础,对于培养学生的综合素质具有十分重要的作用。大学数学与中学数学相比,内容更具延伸性,难度和深度也具有很大的提升。因此,解决大学数学与中学数学的衔接问题,对于很多高等院校而言仍然是一大难题。本文分析了大学数学与中学数学在教学目标、教学内容、教学方式和学习方式等方面存在的差异而导致的一系列的衔接问题,并就如何解决这些问题提出了相应的对策与建议,旨在进一步加强中学数学与大学数学的衔接,促进大学数学教师更好开展教学工作。     

数学交流能力及其培养

数学交流包括数学知识、数学体验和解决问题的交流。鉴于数学交流在数学学习中的重要性 ,可从重视数学语言的教学、开展课堂讨论与合作学习、进行听说数学的训练等途径进行培养     

数学的学与教

每一个教师都曾经是一个学生，教与学有许多相通之处。当学生学数学的经历给在讲台上的教数学的教师许多有益的启示。     

A Matter of Time: Emotional Responses to Timed Mathematics Tests

This study examines the emotional responses of three individuals to timed mathematics tests. We examine the emotional responses of two adult women who look back to timed skills-tests in elementary school and the emotional response of a grade-three girl currently taking timed skills-tests. To interpret the individual reactions, we use a non-Newtonian view of time and draw on Mandler's insights into the nature of emotional responses. We examine the implications of these emotional responses for equitable assessment practices.This revised version was published online in September 2005 with corrections to the Cover Date.     

现代数学的哲学思考

从哲学的高度分析现代数学的本质特征,可以发现:恩格斯关于“数学是什么”的论断并未过时.21世纪的哲学家学习现代数学,数学家学习哲学,对于数学与哲学的发展都是重要和必要的.当前我国大学的现代数学教育存在以下几个误区:大学数学专业开设的现代数学课程课时太少;面对现代数学课程难教难学等困难,一直把学习现代数学思想当作了解现代数学的捷径;现代数学与哲学的教育脱节.     

HPM教育价值剖析及应用取向的深度挖掘

HPM是一个新兴的研究领域。教育取向的数学史对课堂教学,对认识数学的文化性,对师范生的培养均有重要意义。认知的历史相似性原理的系列实证研究、基于数学史的教学设计研究、数学史知识在课堂教学中运用的实验研究、运用数学史促进教师专业发展的行动研究等挖掘了教育取向的数学史的教育价值。利用信息技术挖掘教育取向的数学史的教育价值是一条值得尝试的新路。     

数学的意义与数学教育的价值

关于数学的意义,数学界缺乏面向公众的,正确而简明易懂的解释。数学最重要的特征是其研究对象的抽象性。在历史上,数学是重要的,在高科技的如今,同样重要。中学数学教育的目的包括三个方面:传授初等数学知识;进行逻辑推理训练;培养科学精神。     

Activity Analysis and Curriculum Construction

ABSTRACT

The authors explored whether a testing effect occurs not only for retention of facts but also for application of principles and procedures. For that purpose, 38 high school students either repeatedly studied a text on probability calculations or studied the text, took a test on the content, restudied the text, and finally took the test a second time. Results show that testing not only leads to better retention of facts than restudying, but also to better application of acquired knowledge (i.e., principles and procedures) in high school statistics. In other words, testing seems not only to benefit fact retention, but also positively affects deeper learning.     

Engineering design processes in seventh-grade classrooms: bridging the engineering education gap

This paper reports on some findings from the first year of a three-year longitudinal study, in which seventh- to ninth-graders were introduced to engineering education. Specifically, the paper addresses students’ responses to an initial design activity involving bridge construction, which was implemented at the end of seventh grade. This paper also addresses how students created their bridge designs and applied these in their bridge constructions; their reflections on their designs; their reflections on why the bridge failed to support increased weights during the testing process; and their suggestions on ways in which they would improve their bridge designs. The present findings include identification of six, increasingly sophisticated levels of illustrated bridge designs, with designs improving between the classroom and homework activities of two focus groups of students. Students’ responses to the classroom activity revealed a number of iterative design processes, where the problem goals, including constraints, served as monitoring factors for students’ generation of ideas, design thinking and construction of an effective bridge.