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。     

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...     

On mathematics education and culture: Critical afterthoughts

This paper centers on the May 1988 Special Issue of Educational Studies in Mathematics devoted to mathematics education and culture, which is now available in book form. It questions some of the current tenets about the meaning and significance of the concept culture for a theory of mathematics education. More generally, it also argues against the cooping up of scientific problems by dividing the mathematics education community into small circles of experts which behave like a peculiar breed of mutual benefit societies, without giving due attention to the needs of scientific democracy and the simple pursuit of truth. Ultimately, it calls for an open scientific debate, unfettered by moral and ideological prejudices and, whenever necessary, disrespectful of fashionable notions. In this essay, all these points are tackled in close relation to a thorough — and unusually long — review of the book.     

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     

Using geometrical models in a process of reflective thinking in learning and teaching mathematics

In this paper we investigate how geometrical models can be used in learning and teaching mathematics, in connection with the development of a process of reflective thinking, which we study first in general. Some more specific questions — arising from the use of geometrical models in the classroom — have led us to an experimental study, the results of which are presented and discussed in the paper.     

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.     

谈数学教育中学生思维品质的培养

阐述了数学思维品质的概念，并根据素质教育的要求，从创调教学环境，优化教学方法，挖掘教学内容，设计教学过程等方面，提出了引发学生数学思维，培养其数学思维品质的途径和方法。     

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。     

谈数学创造性思维能力的培养与训练

论述数学教师在教学活动中，应力求有效地抓好学生的发散性思维、直觉思维、逆向思维的训练，帮助学生克服思维定势所带来的负面约束，重视引入“数学开放题”的教学，激发学生开放性探究心理与意识，实现学生数学创造性能力的有效发展，使素质教育在教学中得到充分体现。     

对数学的教育形态的理解和思考

数学的教育形态的转化一直是数学教学实践中的一个焦点问题.从不同的角度对数学的教育形态进行了诠释和理解,并从教师、教材、教法三方面对数学的教育形态的转化实施提出了几点思考.     

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。     

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。     

论创新教育和数学素质教育

阐述了数学素质的内涵和外延,论述了创新教育和数学素质教育的重要性和迫切性,阐明了创新教育和数学素质教育的实施办法和途径。     

On reforming practice in mathematics education

Based on principles of constructivism, an analysis is made of how practice in mathematical education might be reformed towards a professional practice. In addition to the widespread recommendations that mathematical teaching be based on interactive communication and that mathematical learning be active, we argue that conventional school mathematics be replaced by a constructivist school mathematics. A constructivist school mathematics is based on children's use of their schemes of action and operation in learning situations, and whatever accommodation the children make in these schemes as they use them. Through examples of our learning of the numerical schemes of five year old children we illustrate what we mean by a constructivist school mathematics. In our examples, we characterize the schemes of action and operation that we attribute to children as our interpretations of the children's activities. For this reason, we define a constructivist school mathematics to be the results of the observer's experiential abstractions in the context of interacting with children mathematically. A professional teacher is cast as one with the intellectual autonomy and power to produce a constructivist school mathematics, including the involved situations of learning and interactive mathematical communication.     

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．     

On metaphors in thinking about preparing mathematics for teaching

Educational Studies in Mathematics - This paper explores how different schools of thought in mathematics education think and speak about preparing mathematics for teaching by introducing and...     

浅析高等数学思想方法在初等学科教育中的重要作用

数学思想方法是数学的灵魂,渗透于整个数学的学习与应用过程.本文论述了数学思想方法的含义,并结合实例阐述了高等数学思想方法在初数学及其他学科学习中的重要的作用.     

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。     

“（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