On culture,geometrical thinking and mathematics education

This article confronts a widespread prejudice about mathematical knowledge, that mathematics is culture-free, by demonstrating alternative constructions of euclidean geometrical ideas developed from the traditional culture of Mozambique. As well as establishing the educational power of these constructions, the article illustrates the methodology of cultural conscientialization in the context of teacher training.     

关于数学与数学教育——科学家关于数学的论述及其对我们的启示

在学习、理解科学家关于数学论述的基础上 ,进一步阐述了对数学与数学教育等问题的新认识     

Jewish culture,Chinese culture,and mathematics education

Educational Studies in Mathematics - In the past three decades, there has been increased attention on the influence of culture on the teaching and learning of mathematics. Jews and Chinese both...     

数学文化与高职数学教育

数学文化扎根于社会实践,随着人类文明的兴衰而荣枯;信息时代也就是数学时代,高新技术在本质上是一种数学技术,数学文化是现代文化的一个重要支柱;传播和普及数学文化是高职教育的重要任务,高职数学应发挥文化与应用两大功能,从文化层面重新审视高职数学课程改革,建立“以人为本,以学生为中心”的教改新构架。     

“（数学）教室文化”：数学教育的微观文化研究

通过对（数学）教室文化的分析．指出了其研究的根本意义     

浅谈高职数学教育与中学数学教育的衔接

基于现在高职数学教育的实际情况,从高职数学教育与中学数学教育的区别和衔接,针对知识点和学习方法两个方面进行了探讨。并根据一线教师多年的实际经验,给出了一定的解决方案。     

Language and culture: Critical components of multicultural teacher education

This article identifies components of a course on multiculturalism in teacher education. The course proposes four stages of awareness: ethnic identity exploration; development of knowledge in language and literacy acquisition; refinement of a repertoire for cultural ways of teaching and learning; and selection of a teaching style. A variety of readings and activities for teacher education are proposed.     

数学文化在海南省小学数学教育中的普及研究

本文主要阐述数学文化的内涵,数学文化在小学数学教育中的重要作用,海南省小学数学教育中数学文化的薄弱与缺失,以及在海南省小学数学教育中普及数学文化要采取的措施。     

试谈数学教学中的美育问题

数学中的美的因素无处不在：简洁性、对称性、和谐性、奇异性，无不闪烁着美的光华．教学教育工作应使这些美因在教学中加以体现，或直观形象，或简洁方式，或扩展想象，让美的思想贯穿于课堂教学的始终．     

创新思维在中等职业教育数学中的培养

自我国颁布《中等职业学校教育大纲》以来,各个中等职业学校逐渐重视起职业教育数学工作。中等职业数学既是对初中数学知识的继承,也是为更高层次数学知识的学习打下良好的基础。在数学教育过程中,应该建立＂方法多样,灵活多变,兴趣、能力培养＂的现代教学方法。     

Constructivism,mathematics and mathematics education

Learning theories such as behaviourism, Piagetian theories and cognitive psychology, have been dominant influences in education this century. This article discusses and supports the recent claim that Constructivism is an alternative paradigm, that has rich and significant consequences for mathematics education. In the United States there is a growing body of published research that claims to demonstrate the distinct nature of the implications of this view. There are, however, many critics who maintain that this is not the case, and that the research is within the current paradigm of cognitive psychology. The nature and tone of the dispute certainly at times appears to describe a paradigm shift in the Kuhnian model. In an attempt to analyse the meaning of Constructivism as a learning theory, and its implications for mathematics education, the use of the term by the intuitionist philosophers of mathematics is compared and contrasted. In particular, it is proposed that Constructivism in learning theory does not bring with it the same ontological commitment as the Intuitionists' use of the term, and that it is in fact a relativist thesis. Some of the potential consequences for the teaching of mathematics of a relativist view of mathematical knowledge are discussed here.     

探讨高等数学教学中的创新教育

提出在高等数学的课堂教学时,引入“抽象模式、数学结构”教学法,采取课堂讨论等措施,在高等数学教学中体现创新教育理念。运用督促检查法、网上评阅答疑法、作业评改小组法等方法,改进高等数学作业的评阅方式。采用多渠道评价方式代替单一考试评价方式。对高等数学的这种创新教学的效果进行了调查和分析。     

Hating school, loving mathematics: On the ideological function of critique and reform in mathematics education

Students’ engagement with fictions in the form of “word problems” plays an important role in classroom practice as well as in theories of mathematical learning. Drawing on the Dutch historian Johan Huizinga and the Austrian philosopher Robert Pfaller, I show that this activity can be seen as a form of play or game, where it is pretended that mathematics is useful in real life in a way that it is not. With Pfaller, I argue that play can take hold of the imagination of the players, infusing everyday life with meaning borrowed from the imagery of the play and that these effects are more powerful when the play is forced and takes an institutionalized form. I show that mathematics education does in fact have these characteristics, including sophisticated mechanisms for translating in-game performance (test scores) to real-life goods (grades and examinations). A central theme of the article is the perceived discrepancy between mathematics education as it is, and how it supposedly could and should be in light of the properties of mathematics. The analysis implies that this gap actually is an effect of play and thus an inherent property of mathematics education itself.     

试论数学素质教育的特征

对数学素质教育的四个基本特征：注重社会实践、培养科学精神、发展创造潜能、加强情感体验进行了剖析,认为社会实践活动应对学习对象赋予社会性与现实性,并将社会认知过程与对社会探求过程联系起来;培养科学精神需在学习中渗透科学意识,科学技术;发展创造潜能应使学生有心理安全感,有表达自由和目标;加强深感体验应关注学生学习积极性和兴趣．     

浅谈高中数学教学的创新教育

教学不是为了教,而是为了学,“教是为了不教”,“学是为了学会,会学”。教学不仅让学生继承,还要让学生去创造,使教学过程成为师生双方相互交流、相互沟通、相互启发、相互补充的过程,在这个过程中,教师经常“有惊喜”,经常“被难住”,从而使教学过程成为教师与学生分享彼此的思考、经验和知识,交流彼此的情感、体验与观念,从而达到共识、共享、共进。     

研究性数学、教育数学与数学教育

数学可分为研究性数学和教育性数学。研究性数学主要注重科学逻辑的序,而教育性数学则注重科学逻辑的序与认知心理的序之间的完美结合,后者即“教育数学”。教育数学是在研究性数学基础上的再创造、再提高,教育数学对数学教育改革具有深远的意义。     

对科学文化和科学教育的思考——兼谈素质教育的几个问题

“科学求真 ,人文求善” ,“科学教人做事 ,人文教人做人”的二分观点值得商榷 ,传统的事实价值二分模式和主客二分模式是其理论渊源。科学作为一种文化 ,不仅求真而且求善求美。对真善美的追求是科学文化的价值内蕴。科学在本质上是人文的 ,这是科学文化与人文文化“和而不同”的根基。缺乏完整的科学文化观和科学教育观 ,是科学教育最大的不足。完整的科学教育应当并且能够既教人做事也教人做人。要充分挖掘科学文化蕴含的人文价值来教育人 ,关键在于教师要提高自身的科学文化素养     

HF: Working on mathematics education

First an impression will be given of the way Freudenthal worked on mathematics education during the period after WW II, until the early seventies. The sequence of events of that time form the leading principle of that period when important didactic concepts were being developed. In the following section the chronological order is set aside in an attempt to show how Freudenthal approached research, both in education and into mathematics education. In the next two sections two core themes are dealt with in detail: learning mathematics and developing mathematics education. Earlier didactic concepts are completed and further developed into key notions of a science of mathematics instruction.     

On meaning making in mathematics education: social, emotional, semiotic

This paper is an attempt to add to the foundation of our understanding of meaning making in mathematics education. This attempt seems to be necessary as a growing body of research, primarily in developmental psychology, begins to change our view of early human development. Empathy, reciprocity, and implicit understanding seem to be more suitable concepts to describe human development and learning than the ones previously employed, based, e.g., on aggression as natural instinct or competitiveness as genetically wired basic drive.