《数学评论》与数学教育文献

随着数学教育研究的日益深入,造成了数学教育文献量的不断增加,作为数学领域一种最重要的检索工具－《数学评论》,在2000年的主题分类中增加了“数学教育”这一大类,方便了数学教育文献的检索,同时也给广大数学教育工作者打了一针“兴奋剂”。     

化归思想在概率论教学中的运用

本文以连续型随机变量的概率教学为例，探讨化归思想方法在数学专业课程教学中的运用．     

"技术数学"与"高等数学"之比较

本文对“技术数学”与“高等数学”进行全面的比较，着重分析在高职教育中开设“技术数学”的意义、框架和实施原则。     

正确把握学习中的理解

论述了有关理解的下述几个观点对指导学生学习是有利的:1、理解是有层次之分的,学习的过程是一个不断加深理解的过程;2、应从实际出发去强调理解;3、理解与记忆是相互渗透、相互促进的;4、训练既有赖于理解,又有助于理解.     

Introduction to the Special Issue on Perspectives and Experiences on Mentoring Undergraduate Students in Research: Part I

Abstract

This issue is the first of a special PRIMUS two-part issue collecting articles from experienced faculty mentors. We offer it as a valuable resource for faculty leading undergraduate research programs. It is inspired by the “Regional Faculty Workshop on REU Issues” in 2013 and the Joint Mathematics Meeting 2015 Mathematical Association of America’s “Themed Session on Perspectives and Experiences on Mentoring Undergraduate Students in Research.” This issue consists of seven papers focusing on the larger issues involved in creating, running, and sustaining an undergraduate research program in mathematics.     

数学教学中如何进行学习方法指导

在数学教学中必须重视学习方法指导,一是加强概念教学,引导学生探究概念形成过程,灵活运用概念解题;二是指导学生改进学习方法,注重课前预习,上课积极思考,课后注重整理归纳.     

Opportunities to Learn in the Budapest Mathematics Classroom

This paper examines the nature of the problems posed, the processes by which their solutions were made public, their structural contribution to a lesson and the opportunities they offered for the learning of mathematics in Budapest, Hungary. The problems were derived from observations, the processes of which were informed by various comparative studies, of 94 mathematics lessons in the 10–14 age range. Problems, the analysis and categorisation of which were informed by the literature, tended to fall into two categories – single response with high levels of cognitive demand and multiple response with high levels of cognitive demand. Structurally lessons fell into a well practised pattern of classroom behaviour. They began with a public review of homework, comprising two or three multiple response problems which were solved collaboratively. This was followed by a warm-up period involving the oral setting and mental solving of a few single response problems. Lastly, the main body of the lesson involved several cycles in which a multiple response problem was posed, attempted individually before solutions were shared publicly. Lessons ended with homework being set. The discussion of the findings is framed by Hungary's variable performance on recent international tests of mathematical attainment.     

日本新编小学数学教材的特点

日本新编小学数学教材《算数》根据新的小学算数学习指导要领精简了教学内容。在内容编排上，各领域内容齐头并进、相互融合，各部分内容由易到难、分散安排。在教材编写上，重视通过操作、实验等活动抽象概括出数学知识，重视启发学生思考，重视问题解决，内容编写尽量符合学生的认知特点。     

基于D. H. Jonassen建构主义学习环境设计模型的探索研究

D.H.Jonassen建构主义学习环境教学设计模型包括:设计问题、相关实例、信息资源、认知工具、会话与协作工具、社会背景支持6个方面的内容,相应的6个环节是:确定学习主题、创设教学情境、信息资源设计、自主学习设计、协作学习环境设计和学习效果评价设计.CLE模型的3种教学策略是:建模策略、教练策略和支架策略.在数学教学中,运用该模型,可更好地发挥计算机辅助教学的优势.     

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。