近二十年我国数学史融入数学教育研究综述 ——基于CiteSpace知识图谱分析

通过运用CiteSpace可视化软件,从研究作者、研究机构、关键词三方面绘制知识图谱,发现近二十年我国数学史融入数学教育研究的主题有:数学史的教育价值研究、数学史融入数学教材以及数学史融入数学教学等研究.在此基础上提出了几点建议:加强不同机构之间的合作研究,加强"互联网+"背景下数学史融入数学教材方式的研究,重视数学史...     

利用初中数学史的教育价值提高教学效率

数学史对于学生与教师都有极大的教育价值,从学生角度来看,学习数学史有利于激发学生的学习兴趣,让学生接受数学文化的熏陶,加深对数学知识的理解和吸收;从教师角度来看,数学史有利于提高数学教师的综合素质,帮助教师树立正确的数学教学观,提升数学教师的精神境界,充分发挥教师的作用推进教学改革的深入发展。本文将详细阐述数学史在初中数学教学中的价值,希望教学工作者从中有所启发。     

数学史融入数学教学的诠释学模式探索

在现有研究成果的基础上,联系数学史融入数学教学实际,对现行双循环诠释学模式进行分析和探索,并结合教科书、数学史、学生实际水平、教学现实条件四个因素,提出了一种数学史融入数学教学的多向循环诠释学模式。这种诠释学模式比较全面地考虑了数学教学各环节要素之间的相互联系,能够更好地探索数学史融入数学教学的恰当角度和方式,在实践中更好地指导数学教学,充分发挥数学史的教育价值。     

认识历史,理解数学——以苏教版三下“年、月、日”教学为例

数学是什么?理解数学对于教师的"教"和学生的"学"至关重要。认清数学史,有利于教师和学生更好地理解数学。将数学史融入数学教学中,能使数学教学更有内涵。将数学史融入数学教学中,不应牵强附会,融入,要进行教学法的加工,要基于其必要,要不露痕迹。     

数学史融入数学教学的探讨

目前,数学史与数学教育的关系已经成为一个重要的学术研究课题．其中,数学史与数学教学的融合备受关注．鉴于此,本文分析了数学史融入数学教学的必要性,数学史融入数学课堂教学的原因。教材中数学史的呈现形式．同时还探讨了数学史融入数学教学的途径：新课导入中呈现数学史．教学过程中渗透数学史,课后习题中展现数学史,教学结束后补充数学史．     

数学史融入数学教学的探讨

目前,数学史与数学教育的关系已经成为一个重要的学术研究课题.其中,数学史与数学教学的融合备受关注.鉴于此,本文分析了数学史融入数学教学的必要性,数学史融入数学课堂教学的原因,教材中数学史的呈现形式.同时还探讨了数学史融入数学教学的途径:新课导入中呈现数学史,教学过程中渗透数学史,课后习题中展现数学史,教学结束后补充数学史.     

数学史融人高师数学教育：形态与途径解析

数学史无论是作为一门学科课程,还是作为一种教育资源,都具有极高的教育价值。首先从两个角度分析了数学史融入高师数学教育问题的提出,接着提出了数学史的两种形态,并分析了各自相应的教育价值,探讨了数学史融入高师数学教育的两种途径。文末,指出数学史运用的现状与希望。     

基于HPM的探究式数学教学设计——从祖暅原理与球体积谈起

数学史的教育价值很早就被数学史家、数学教育工作者所认同,成立于1972年的国际 HPM 研究小组标志着数学史与数学教育的关系已经成为数学教育的研究课题之一.我国也成功地开展了两次"数学史与数学教育"的学术会议.可是由于目前我国中学数学教师数学史知识比较匮乏,如何把数学史融入数学教学的研究案例偏少,再由于升学的压力、课时的     

国外数学史融入数学教学研究述评

数学史融入数学教学是HPM的一个中心话题。国外学者深入探讨了在数学教学中"为何融入数学史"以及"如何融入数学史"的问题,并取得了大量的研究成果。这些研究表明,数学史融入数学教学已经得到广泛的认可,但对于如何融入的问题还处于不断发展之中。寻找数学史融入数学教学的切入点,使之更有利于学生的数学学习是未来HPM研究需要进一步关注的问题。     

数学史融入中职课堂教学的策略

课堂教学是数学史融入教学的最主要途径。将数 学史融入课堂教学是数学研究的重要内容。数学史融入中职 数学课堂,不仅要考虑中职学生学习特点,又要结合学生专业 特色选择恰当的融入方式实现教学目标。本文结合中职数学 教学经验,从课堂融入方式、环节及数学史与专业、信息技术相 结合,提出具体可行的融入策略,使中职数学教学有所改善。     

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     

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.     

History of mathematics: illuminating understanding of school mathematics concepts for prospective mathematics teachers

The use of the history of mathematics in teaching has long been considered a tool for enriching students’ mathematical learning. However, in the USA few, if any, research efforts have investigated how the study of history of mathematics contributes to a person's mathematical knowledge for teaching. In this article, I present the results of research conducted over four semesters in which I sought to characterize what prospective mathematics teachers (PMTs) understand about the topics that they will be called upon to teach in the future and how that teaching might include an historical component. In particular, I focus on how the study and application of the history of solving quadratic equations illuminates what PMTs know (or do not know) about this essential secondary school algebraic topic. Additionally, I discuss how the results signal important considerations for mathematics teacher preparation programs with regard to connecting PMTs' mathematical and pedagogical knowledge, and their ability to engage in historical perspectives to improve their own and their future students' understanding of solving quadratic equations.     

Effects of metacognitive instruction on mathematics achievement and attitude towards mathematics of low mathematics achievers

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.     

Supporting mathematics vocabulary instruction through mathematics curricula

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.     

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。     

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。     

高等数学开设数学实验的信息论分析

信息论是以数学的方法来研究广义的信息传输、提取和处理系统中一般规律的科学.本文从信源编码、信道编码和离散信源特点等方面,论述了在高等数学教学中开设适当的数学实验的必要性.     

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。