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1.
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  相似文献   

2.
Constructivism,mathematics and mathematics education   总被引:1,自引:0,他引:1  
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.  相似文献   

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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。  相似文献   

5.
This article summarises what we can learn from research into workplace practice and vocational preparation to inform the design of mathematics education curricula for learners in general education undertaking compulsory schooling. Key findings about workplace practices are identified and explicated through the report of a case study from research in which researchers, students, teachers and workers explored workplace and mathematical practices together. Further to this, issues of learning and personal development are considered and explored from a point of view that sees learning as practice (doing) and identity development (becoming). This leads to a proposal for principles that provide a strategic vision for curriculum design. A potential approach to tactical design that facilitates curriculum structuring is illustrated in the particular instance of understanding developing measures as a modelling activity. Overall, the exercise, whilst providing some insight into possible ways forward in curriculum development, also suggests areas that require further research and development.  相似文献   

6.
足球与数学     
踢足球是多数中学生的课余爱好 ,数学的教学活动如能和足球有机地结合起来 ,让学生在动脚、动手、动脑的活动中发现问题和解决问题 ,激发出学生的学习兴趣和求知欲望 ,那么课堂教学效率无疑会有很大的提高 ,下面几例是我在教学中对数学在足球方面的应用所作的一些探讨。1 在足球的图案设计和制作方面的应用例 1 教师出示一黑白足球 ,让学生观察足球表面的图案 ,发现足球是用黑白两色皮粘合而成的 ,黑块皮为正五边形 ,白块皮为正六边形 (如图 )且数出黑皮有 1 2块。 ( 1 )求白皮的块数 ?( 2 )量得正六边形边长为 5cm ,则制作这样一个足球…  相似文献   

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An experiment was conducted to examine the effects of metacognitive instruction on mathematics achievement and attitude towards mathematics of low mathematics achievers at a middle school in the North‐West Province of South Africa. Forty standard (std) 7 pupils were identified whose non‐verbal general ability and previous mathematics achievements were significantly lower than those of other std 7 pupils. These subjects were randomly assigned to an experimental group and a control group. Metacognitive strategies in solving mathematical problems related to four mathematics topics were individually taught to the members of the experimental group, while the pupils in the control group were taught the four mathematics topics through the conventional method of teaching mathematics. The comparisons of pretest and posttest measures of general ability, metacognitive awareness, attitude towards mathematics, and mathematics achievement revealed that the posttest scores of all the four variables for the experimental group were significantly higher than those for the control group.  相似文献   

9.
从初出茅庐漫无边际的自学 ,到确定以数学哲学和数学史为研究方向 ;从 2 0年的准备阶段 ,到集中力量进行研究 ;从论文不能发表到出书 ;从参加省级的学术会议到参加国际学术会议 ,作者学习和研究数学哲学和数学史的道路是不平坦的。  相似文献   

10.
Conclusions What then can be said that is known about sex-related differences in mathematics and factors related to such differences? Certainly, when both females and males study the same amount of mathematics, differences in learning mathematics are minimal and perhaps decreasing. Many fewer females elect to study mathematics and therein lies the problem. Variables which appear to contribute to this non-election are females' lesser confidence in their ability to learn mathematics and their belief that mathematics is not useful to them. In addition, differential teacher treatment of males and females is important. All variables appear to be directly related to the stereotyping of mathematics as a male domain.There is nothing inherent (Sherman [30]) which keeps females from learning mathematics at the same level as do males. Intervention programs can and must be designed and implemented within schools which will increase females' participation in mathematics. Such programs should include male students, female students and their teachers. Only when such intervention programs become effective can true equity in mathematics education be accomplished.  相似文献   

11.
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.  相似文献   

12.
Abstract

This study examines four of the most commonly-used core mathematics curricula in the USA for evidence of support for research-based instructional strategies for mathematics vocabulary in first and second grade. Content analyses of the teachers’ editions of two units for each grade level were analyzed per curriculum (n?=?16). Statistically significant differences among curricula were found for number of target words (range 6–51 per unit), level of difficulty of terms (basic to technical), and number of support strategies per word. Multiple means of representation varied in terms of verbal and non-verbal strategies for target terms. These differences indicate children are experiencing substantially different mathematics vocabulary learning opportunities, which may impact later mathematics achievement. Implications for practice, curriculum development, and future research are addressed.  相似文献   

13.
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。  相似文献   

14.
Abstract

This paper examines how young people account for choosing mathematical subjects, and how these processes sustain, or not, their continued participation. It draws on a 2-year qualitative study of 24 young people’s accounts of following advanced mathematical pathways within a widening participation programme. Working within a post-structural framework, I combine two arguments: firstly, that local discourses of time, age and maturity position contemporary adolescence as a time of ‘becoming’ that aligns personal aspirations with mathematical progress, and secondly that students’ accounts of choice and aspiration require multiple imaginings of present and future selves. I identify distinct discourses –moving/improving and getting ahead - that structure the intelligibility of participation in mathematics and further mathematics respectively. I argue that tracing the alignments between students’ accounts of themselves and/ in mathematics offers potential to understand emergent practices in mathematics participation but also how exclusions are re-inscribed along classed and gendered lines.  相似文献   

15.
数学作为人类认识自然、掌握自然的钥匙和工具,早已渗透到建筑学科的所有领域。数学为建筑服务,建筑也离不开数学。  相似文献   

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本文首先针对数学文化的概念和高职数学当中融入数学文化的重要意义进行论述,并在此基础上,通过教学实例论述了应如何在高职院校数学科目教学当中,融入数学文化。希望本文能够给予从事高职院校数学科目教学的教职员工提供一定的参考。  相似文献   

18.
许多哲学家认为,每一完备的科学理论应该具有简洁、和谐、对称、统一等美学特征.从这个意义来看,数学是一门美学!因为它不但具有抽象性、逻辑性、严密性特征,更具有美学特点.数学美蕴藏在它所特有的抽象符号、严格的语言及演绎体系中.因此,在数学教学中同样可以进行美学教育.本文从数学美及数学美学教育两方面作一些探讨,以期与同行切磋.  相似文献   

19.
随着社会对人才数学修养的要求不断提高,传统数学教学的弊端日益显现出来,建构主义学习理论的许多观点和主张具有合理性,对数学教学的改革有借鉴意义。  相似文献   

20.
在中学里,新学科永远是中学学生感兴趣的一点,特别是现在网络时代,密码学更是中学时代学生想去探究的学科。本文将从中学基础的因子、模、同余、最大最因数介绍起,到深层次的逆元、群、多项式逐一讨论,且立足于中学数学与信息技术两门学科,通过一个个例子把中学数学中所蕴含的密码学基础知识传输给学生,以提高了学生兴趣,并为其它学科的学习打下基础。  相似文献   

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