课程思政视角下的高中数学课堂设计路径:“PNF”三环节设计法

新一轮课程改革过程中,课程思政已经成为落实立德树人根本任务的重要抓手.本文给出了思政融入高中数学课程的设计路径,即“PNF”三环节设计法:讲好“大师故事”,追溯知识的前世,让思政“内化于心”;重走“大师之路”,探究知识的今生,让思政“外化于行”;站在“大师肩膀”,续写知识的未来,让思政“固化于制”.并以“变化率问题和导数的概念”为例,介绍如何通过“PNF”三环节设计法将思政融入高中数学课堂教学中,为理科教师将课程与思政深度融合提供参考.     

“思政元素”融入中学数学教学的路径探析

<正>习总书记在党的二十大报告中指出：“育人的根本在于立德.”课程思政作为中学实现“立德树人”根本任务的重要抓手,通过挖掘各类课程教材和教学方式中蕴藏的思政教育元素,实现育人与育才的有机统一.如果说学科教育是“育才”、思政教育是“育人”,那么课程思政就是将“育人元素”如爱国主义、理想信念、价值追求等融入到各门学科中,耳濡目染地对学生的价值观念、思维方式产生积极影响.对于数学学科而言,找准融合路径是课程思政建设的核心问题.     

基于课程思政的高中数学教学探索与实践——以“基本不等式”为例

课程思政是一种课程观和教育理念,要围绕教学目标和教学内容,广泛开发蕴藏的思政元素,实现知识传授、能力培养、价值引领的和谐统一,本文介绍课程思政的内涵和原则,并以“基本不等式”为例展示基于课程思政的教学设计.     

一本新颖别致的微积分教材——康明昌著《微积分入门》评介

<正> 微积分是一切高深科学理论的基础,是研究物理学、工程学等学科的必备工具,也是理工科各门课程及社会实践中的“常用语言”。掌握微积分,对于当代大学生来说具有无与伦比的重要性。但是,目前的国内(大陆)绝大多数微积分教材都变成了定义、定理和公式的堆砌,     

高等数学教研和科研的园地--我与《高等数学研究》

我从事“高等数学”基础课教学已经有23个年头了,主讲过“微积分”、“线性代数”、“概率统计”,还讲授“运筹学”和“统计预测与决策”等课程。以前,我们的教研成果和科研成果都很少,由于只是从事经济管理类(文科)的基础课教     

哲学视域下的高等数学“课程思政”

数学作为一门学校教育中历时较长的课程,在培养逻辑思维、规则意识、意志品格等科学素质方面发挥着积极的作用,是其他课程所无法比拟的.多年来,我国的数学教学常常忽视教学体系中蕴藏的丰富的哲学思想,哲学元素没有获得足够的挖掘和应有的重视.在“课程思政”理念的引领下,注重哲学视域下的高等数学“课程思政”教学,对于大学的数学教育工作者为国家培养优秀人才,意义深远.     

编写“工程微积分教程”的效益原则

<正> 一、根据工科课程和专业的总体需要,调整教材的内容,是编写“工程微积分教程”的笫一个原则,即总体效益原则。我们翻阅了物理等其它专业课程的教材,多方征求有关教师的意见,讨论了多年来物理等待数学课的公式,不能及时开课而引起的种种问题,认为微积分课程是应该而且可以解决这些问题的。     

偏微分方程数值解课程的多层次递进式教学模式构建与分析

本文开展基于问题导向和思政元素驱动的“基础知识-应用实践-科研引导”多层次递进式偏微分方程数值解课程教学改革探索,以激发学习兴趣、驱动学习动力、夯实基础知识、增强实践能力、开阔交叉视野、引导科研探索为目标,更好地发挥偏微分方程数值解在重要交叉领域的科学计算价值．本文同时分析了西北工业大学偏微分方程数值解课程的改革成效．     

概率论中的微积分方法

目前，在我国高等学校所开设的概率论课程中，多效是以微积分知识做基础的，做为微积分课程的一门后续课程——概率论，如何正确、巧妙地运用微积分方法技巧是值得重视的问题，本试图归纳一些同题来说明微积分方法在概率论中有着广泛的用途，同时希望在学习微积分、概率论时，引起注意，从而产生更多、更好的微积分方法为概率论所应用。     

微积分MOOC数据的统计分析研究

MOOC(Massive Open Online Course)即"大规模在线开放课程"已成为国内外互联网在线学习的热点.北京理工大学微积分MOOC课程自2014年在中国大学MOOC网站上线,经过2年的开课,积累了丰富的课程数据.基于微积分MOOC数据,通过统计分析的方法,研究了微积分MOOC参与者的成绩分布,最终成绩与主观作业和客观测验成绩之间的关系,并给出了课程参与者数量变化模型.还结合两个样本班级学生的期中、期末卷面成绩,对比分析了参与微积分MOOC和未参与微积分MOOC学习的学生成绩,结果表明,参加微积分MOOC学习的同学期末较期中取得的进步程度要好于未参加微积分MOOC学习的同学,且这种促进效果对课堂学习微积分有困难的同学尤其明显.     

基于线性代数的浸入式课程思政教学实践

本文研究如何在线性代数课程中贯彻课程思政的教学要求.     

课程思政理念在《常微分方程》教学改革中的应用

本文研究《常微分方程》课程教学改革过程中课程思政理念的应用.基于课程原有的知识体系,从哲学层面思考课程内容和研究方法,通过分析课程中蕴含的马克思主义观点和方法进行教学、微分方程建模教学、课程发展史和重要科学家生平事迹教学,培养学生的数学素养和科学精神,增强学生的民族自信和家国情怀,激励学生刻苦钻研、勇攀科学高峰.     

课程思政理念指导下的高等数学过程考核实施方案

在融入课程思政前,利用调查问卷的结果做了 一些准备工作,目的是了解学生意愿及需求,找好切入点.接着开始实际操作,进行"高数那些事儿"环节教学改革设计,并平稳有序的开展一学期试行.然后为了更好了解学生对教改的反馈及学生学习态度,对两个平行教学班进行了相关内容的问卷调查,所得结果相近,以其中一班为例说明多项令人满意的重要内...     

Mathematics teaching is democratic education

It is a commonly held belief that mathematics teaching has no political effects. Astonishingly, however, the fact is that the style of argument now used in mathematics everywhere was not developed originally to do mathematics. Originally its function was to counteract the teaching by the early Greek sophists of rhetoric. Their training gave the rich and privileged such an advantage in public speaking that democracy was threatned. Making respectable a new form of argument, in which evidence and logical structure predominated, was a very radical act of enlightened democratic education. Mathematics teaching in the form of open critical dialogue between teacher and taught remains a powerful form of education in democratic attitudes. Ambitions to produce political ideas as infallible as mathematics have a modern origin. In the early part of this century, mathematics education was again becoming universal throughout Europe. In the same period the belief arose that mathematics could eventually be completed as a single structure of truth. This transformed mathematics into a paradigm of democracy in which unorthodoxy must necessarily be eliminated. Communicated to people everywhere by universal education, this belief increased respect for similar political ideas. Gödel’s proof that mathematics can never be completed came too late to correct these political effects, but modern teachers can again use mathematics as a proof of the value and success of democratic attitudes and ideas. Whilst mathematics itself is ethically neutral, the ethical principles which produced both democracy and mathematics and which can be converyed in mathematics teaching are highly relevant to the modern world, and should be understood and taught by teachers everywhere.     

Economy: the absent centre of mathematics education

Social and political turns in mathematics education research have brought into the field postmodern theorisations that researchers have been using to dismantle traditional philosophies of mathematics, to posit mathematics in the sociocultural terrain, and to spell out the role mathematics has in school exclusion. Sociopolitical perspectives constitute a privileged field of research to address the influence of economy on mathematical achievement. However, instead of investigating the role of economy in students’ achievement, sociopolitical studies have been contributing to a disavowal of the economic dimension of school mathematics. This paper synthesises a set of investigations carried out by the author in the last 5 years endeavouring to posit mathematics education in the political and economic spectrum of our time. It takes advantage of the contemporary combination of Hegel’s dialectics, Lacanian psychoanalysis and Marx’s critique of political economy, carried out by Slavoj ?i?ek, to develop a critique of the way research within the so-called ‘sociopolitical turn’ deals with the issue of equity; and marks out the contours of mathematics education’s ideological belonging.     

高等数学课程教学改革研究与实践--数学建模向高等数学课程的渗透与探索

就高等教育进入大众化教育阶段的精英教育模式进行了探索.针对高等数学课程提出了教学内容与教学方法改革的设想,经过教学实践取得了较好的效果.     

函数在一点处的限教学设计

本文探究了函数在一点处极限的教学设计.从实际案例出发,抽象出函数在一点处极限的数学表达形式.从数形结合角度,解释本节课的难点,即ε和δ的关系.通过给出函数在一点处极限的定义,探索和思考用定义进行计算的关键问题.最后,结合课程思政,将课程落脚到育人.     

Policy issues in the teaching and learning of the mathem atical sciences at university level

Policy decisions and their implementation impact on the teaching and learning of mathematics in many ways. Sometimes this is overt and takes account of local factors and professional opinion. However global economic policies, often dominated by the actions of huge multinational corporations, can have considerable influence on all aspects of education including mathematics education. These policies appear to be creating greater inequity between and within nations. Quality mathematics education for all, a recurring theme at International Congress on Mathematical Education meetings, is becoming less of a reality. At the same time, mathematics education at every level is increasingly influenced by powerful bureaucrats rather than by the profession. It is suggested that mathematical scientists need to try to understand the political forces affecting mathematics education for the ICMI study on teaching and learning mathematics at the tertiary level to have maximum impact.     

Pourquoi, pour qui enseigner les mathématiques?

The evolution of education in Belgium is described from 1830 to our days. The mastery of education has always been a subject of disputes between the political forces in presence. With the flow of years, more attention is paid to social considerations and the necessity of a more democratic educational system arises. Simultaneously the pedagogical ideas change and active methods of teaching are promoted, although not always used. Different schoolsystems still coexist. However, except for philosophical and religious education, the differences between them tend to diminish. This is in particular the case for mathematics teaching whose evolution is also described with some details.