Outcome standards and core curricula: a new orientation for mathematics teachers in Germany

One of the pivotal innovations in Germany after publication and discussion of the results of international large scale assessment studies is the introduction of national educational standards for major subjects. The 16 German federal states have committed themselves to implement these standards by developing core curricula for the use in schools and by regularly testing the achievement of students. This development is expected to have considerable impact on the outcome of education. In this article we give, a picture of the current development in the German education system by describing the design of the core curriculum in one of the federal states (NRW) and discuss its function in bridging the gap between national educational standards and teaching practice     

What is the Mathematics in Mathematics Education?

In this paper I tackle the question What is the mathematics in mathematics education? By providing three different frames for the word mathematics.

• 1.Frame 1: Mathematics as an abstract body of knowledge/ideas, the organization of that into systems and structures, and a set of methods for reaching conclusions.

• 2.Frame 2: Mathematics as contextual, ever present, as a lens or language to make sense of the world.

• 3.Frame 3: Mathematics as a verb (not a noun), a human activity, part of one’s identity.

After introducing the frames and examining their distinction and their overlap, I discuss their implication with respect to student-centered classroom, context, and culture.     

Mathematical programming in the Netherlands

Results of an exhaustive survey of mathematical programming in the Netherlands held in 1982 are presented and, where applicable, compared to a survey held in 1976. It appears that the growth rate has levelled off, that about half of the largest one hundred industrial firms in the Netherlands now apply MP and that the users are quite satisfied with LP programs except for input, output and documentation.     

数学机械化与数学道理化

以中国传统文化为底蕴、机械化和道理化为特色的中国传统数学,曾经取得光辉的成就.将这些思想用于计算机科学、孤子理论和量子场论,不仅可以系统地产生已有结果,还可以开辟新的研究方向,取得重大突破.     

小议数学发展的哲学问题及其在数学与计算机科学关系中的表现

本文从哲学角度讨论数学与实践的联系 ,并以数学与计算机科学的关系为例说明这种联系 .     

地方应用型本科院校数学与应用数学专业课程体系的改革与实践——以太原工业学院为例

以太原工业学院为例,分析了数学与应用数学专业培养应用型人才所面临的挑战.结合该校地方性和应用型的特点,基于岗位需求为导向,围绕"毕业生未来就业岗位—培养目标—能力与素质要求—课程设置"这条主线完成了金融数学和软件开发两个方向的课程设置,以此建立"模块化教学,分流培养"的培养体系,为应用型本科院校数学与应用数学专业课程体系设置提供参考.     

数学思维,数学教学与问题解决

问题是数学的心脏,问题是引导研究的,提出和发现数学问题是数学思维的起步.数学问题解决体现了数学思维的目的、过程和基本方法,是创造性的思维活动.问题解决作为教学方法,能体现知识的涵义和应用价值.     

数学交流及其对数学教育的启示

阐述了数学交流的缘起和功能 ,指出除具有一般的教学功能外 ,数学交流的教学意义特别表现在完善数学思维活动和实现数学教学的社会价值两方面 .最后 ,从三个方面探讨了数学交流观点对数学教育的启示 ,即重视培养学生的数学交流素养 ,利用师生互动的形式重塑教学过程 ,在强调认知的同时关注学生的精神生活 .     

Communications in Mathematics and Statistics

<正>ISSN:2194-6701(print version)ISSN:2194-671X(electronic version)Aims and Scope Communications in Mathematics and Statistics(Commun Math Stat)is an international journal published by Springer-Vcrlag in collaboration with the School of Mathematical Sciences in University of Science and Technology of China(USTC).The journal is committed to publish high level original research papers in various     

Communications in Mathematics and Statistics

<正>Aims and Scope Communications in Mathematics and Statistics(Commun Math Stat)is an international journal published by Springcr-Veriag in collaboration with the School of Mathematical Sciences in University of Science and Technology of China(USTC).The journal is committed to publish high level original research papers in various areas of mathematical sciences,including pure mathematics,applied mathematics,     

Communications in Mathematics and Statistics

Aims and Scope Communications in Mathenatics and Statistics (Commun Math Stat) is an international journal published by Springer-Verlag in collaboration with the School of Mathenatics and Sciences in University of Sciences and Technology of China     

Meaning and Formalism in Mathematics

This essay is an exploration of possible sources (psychological, not mathematical) of mathematical ideas. After a short discussion of plationism and constructivism, there is a brief review of some suggestions for these sources that have been put forward by various researcher (including this author). These include: mental representations, deductive reasoning, metaphors, natural language, and writing computer programs.The problem is then recast in terms of the relation between meaning and formalism. On one hand, formalism can be seen as a tool for expressing meaning that is already present in an individual's mind. On the other hand, and the discussion of this point is the main contribution of this paper, it is not only possible, but a standard activity of mathematicians, to use formalism to construct meaning and this can also be a source of mathematical ideas.Although using formalism to construct meaning is a very difficult method for students to learn, it may be that this is the only route to learning large portions of mathematics at the upper high school and tertiary levels. The essay ends with an outline of a pedagogical strategy for helping students travel this route.This revised version was published online in September 2005 with corrections to the Cover Date.     

Communications in Mathematics and Statistics

<正>ISSN:2194-6701(print version)ISSN:2194-671X(electronic version)Aims and Scope Communications in Mathematics and Statistics(Commun Math Stat)is an international journal published by Springer-Vcrlag in collaboration with the School of Mathematical Sciences in University of Science and Technology of China(USTC).The journal is committed to publish high level original research papers in various areas of mathematical sciences,including pure mathematics,applied mathematics,computational mathematics,and probability and statistics.Typically one volume is published each year,and each volume consists of four issues.     

Communications in Mathematics and Statistics

<正>ISSN:2194-6701(print version)ISSN:2194-671X(electronic version)Aims and Scope Communications in Mathematics and Statistics(Commun Math Stat)is an international journal published by Springer-Verlag in collaboration with the School of Mathematical Sciences in University of Science and Technology of China(USTC).