一种特殊的数学思维方法——类比法

类比是一种特殊的数学思维方法,通过例题来说明类比法的应用,可以拓宽数学的解题思路.     

数学分析教学与创新能力培养

学生创新精神和创新能力的培养是实施素质教育的核心,在教学实践中探索培养学生创新能力的途径是教师的任务。     

Investigating the secondary–tertiary transition

The secondary–tertiary transition has been studied in a great amount of research in mathematics education, adopting different focuses and theoretical approaches. I present here how these focuses led the authors to identify and study different students’ difficulties and to develop different means of didactical action. Individual, social, but also institutional phenomena are considered with different perspectives. Each perspective yields a particular view of transition. The association and comparison of these views makes it possible to build an organized outline of this complex object, combining several kinds of ruptures and long-term evolutions.     

Let Lakatos Be! A Commentary on “Would the Real Lakatos Please Stand Up”

In this commentary, some remarks are offered on David Pimm, Mary Beisiegel, and Irene Meglis’ article “Would the Real Lakatos Please Stand up.” The commentary focuses on relatively recent developments in the philosophy of mathematics based on the work of Lakatos; on theory development in mathematics education; and offers critique on whether Lakatos’ Proofs and Refutations (1976) can be directly implicated in mathematics education.

“Nature and nature’s laws lay hid in night; God said, Let Newton be! and all was light.” (Pope, 1688-1744¹)

     

将数学建模与独立学院的数学教学相结合

数学建模可以培养学生的创新思维、运用数学知识的能力和团队意识,完全契合了独立学院的培养目标---培养具有创新精神和实践能力的学生。文章介绍了在独立学院中如何开展数学建模教学。     

数学新境——MathDL数学数字图书馆

作为国家科学教育数字图书馆（NSDL）通道项目之一,数学数字图书馆（MathDL）是由美国国家科学基金会（NSF）资助、美国数学协会（MAA）主办的,致力于提升大学数学教育水平的数字图书馆项目。MathDL集合了多种类型数学资源,通过建立集中平台为用户提供专业信息服务。文章针对该数字图书馆的背景、建设、现状及发展进行了综合评述,包括数字资源及组织、服务特点、技术特征及作者的评价与建议。