挖掘蕴含在高等数学中的数学美

通过对高等数学教材进行研究,挖掘蕴含在高等数学中的数学美,引导学生发现数学美,欣赏数学美,创造数学美。教学中,我们可以多角度、多层次地展示数学美,逐步培养学生数学美感和审美能力,增强学生的创新意识,提升学生的数学素质。     

Sex-role stereotyping by high school females in science

Although the participation by females in upper-level occupations and positions has expanded considerably in recent years, science is still considered a masculine career field. The results of this study show that only the physical sciences in particular (not science in general) are clearly viewed as masculine academic areas. Furthermore, the results suggest that the perception by girls of the physical sciences as masculine is much more likely to occur in coed classes than in all-female classes. The results can best be explained by two factors: (1) the attitudes conveyed by teachers and by society may predispose students toward a greater acceptance of women in biology than in the physical sciences; and (2) when girls perceive themselves as a deviant minority in physical science classes, their performance and preference for the physical sciences is reduced, perhaps because of competition and comparison with males. In all-female classes, however, girls are not a deviant minority, and therefore they are able to perform and develop preferences without inhibition.     

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     

Prematurity stereotyping: effects on mother-infant interaction

The possibility that the self-fulfilling prophecy process can adversely affect the caregiving environment of premature infants was explored in this study. A portion of this process was investigated experimentally by assessing cognitive and behavioral reactions of 27 mothers to unfamiliar full-term infants who were labeled either full-term or premature. Infants who were described as premature were touched less and given a more immature toy to play with, were rated as smaller, finer-featured, and less cute, and were liked less than infants who were labeled full-term. In turn, infants labeled premature were less active during the interaction than infants labeled full-term. College students who later observed the videotapes made of the mother-infant interactions were able to accurately guess which label was assigned to the infants. The results of this study further support the existence of a prematurity stereotype and the impact of expectations on perceptions and behavior.     

高等数学教学中体现数学动态思维的作用

本文从数学认知活动中所具有的动态思维角度出发,围绕数学教学方式的完善、学生创新思维的培养以及提高学生数学学习信心等方面,阐述了在高职类院校的高等数学教学中体现数学动态思维所具有的积极作用,这将有利于帮助学生形成良好的数学思维品质。     

高等数学思想在初等数学中的渗透

本文通过笔者的教学实践,对高等数学方法在初等数学的渗透作系统总结,突出高观点下的数学教学的理念。     

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.     

数学教师专业化与高师数学教育专业课改

数学教师专业化是世界数学教师教育的发展潮流,其内涵包括:数学教师数学专业化、数学教师教育专业化和数学教师专业情意.当前高师数学教育在课程设置上不适应数学教师专业化要求,改革重点是构建合理的课程体系.     

Making connections in mathematics

Math textbooks, which usually represent the mathematics curriculum, seem to be linked to the poor math performance of U.S. students. The major shortcomings of math textbooks are described in this article; then an alternative perspective is offered (the sameness analysis), along with research conducted with students with learning disabilities and at-risk students. The article then presents a detailed illustration of the sameness analysis--how to teach the addition-subtraction and multiplication-division relationships and their interrelationships in the context of solving word problems in mathematics.     

Undergraduate projects in mathematics

Conclusion We have claimed that project work introduces the student to a wide range of mathematical activities: critical reading, selection of material, mathematical exposition, talking about mathematics, formulation of problems, investigation of open problems, and so forth. It also encourages an active personal involvement in mathematics. Our aim in presenting this report has been to focus attention on some of the questions facing university mathematics teachers at this time, in the hope that others may be encouraged to seek their own answers.     

数学课堂中的数学化

“数学化”是近年西方学者提出的一个概念 ,指师生在数学教学过程中共同努力、相互作用 ,使儿童准确理解各种数学表达或运算所需的规则和准则 ,最终形成儿童自身关于各种物体和情境的数学模式。本文以对数学课堂教学的大量观察为基础 ,阐述“数学化”的含义和过程 ,分析影响“数学化”顺利进行的社会因素和心理因素 ,并为数学教学提出一些建设性的建议。这对于我国数学基础教育中儿童数学能力的培养及思维的发展有积极的借鉴意义。     

Child-methods in secondary mathematics

An earlier research project, the Concepts in Secondary Mathematics and Science (Mathematics) project, identified both a hierarchy of levels of understanding in different areas of secondary mathematics, and a number of particular errors which were made by significant proportions of the children tested. Preliminary consideration of these errors and the strategies which appear to have given rise to them suggests that the use of informal naive methods which are limited in their applicability is widespread even at fourth-year level. The suggestion is made that there may be two systems of mathematics coexisting in the secondary school classroom: the formal taught system, and a system of child-methods which are based upon a counting, adding-on or building-up approach, and by which children attempt to solve mathematical problems within a human-sense framework. The difficulties which some children appear to experience in mathematics is suggested to be due in part to these children's non-initiation into the formal taught system. The implication of such a view for teaching and research are indicated.