“思政教育”视域下的高校应用数学类课程教学探索

根据创新教育的要求和新的课程改革的需要,针对高等学校应用数学类课程的特点和课堂教学现状,探讨建立应用数学类课程“思政教育”的教学模式.以《离散数学》和《概率论与数理统计》课程教学为例,探讨如何根据应用数学类课程的知识特点,在教学设计中合理融入思政教育,使学生在掌握知识的同时,形成科学精神、探索创新精神,培养其乐观向上、自强不息的人生态度,提高数学素养与文化素养.     

内生育德：文化视角下小学数学课程思政的创新实践

课程思政是为了实现各类课程与思想政治理论课的同向同行,实现协同育人的重要理念.广西基础教育改革与发展研究中心“文化视角下的小学数学教学研究”教授工作室引领“内生育德：文化视角下的小学数学课程思政教学”创新与实践活动,展开小学数学课程思政建设的应然图景,探求小学数学课程思政建设的基本遵循,扭转小学数学课程思政建设流于形式这一困境,形成了“内生育德：文化视角下的小学数学课程思政教学”教学理论体系.     

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.     

基于5E教学模式对高中数学的教学探究——以“古典概型”教学为例

新课改要求以学生为本,注重对学生核心素养的培养,以探究活动为主要内容,培养学生数学思维.文章以“古典概型”教学为例,探究“5E”教学模式的构建,并将课程思政融入每个环节中,从而实现核心素养的有效培养.     

金课视域下课程思政融入数学建模教学及实施路径

国家课程思政建设目标对数学建模课程教改提出了新的挑战.以金课为目标将课程思政融入数学建模课程,从更高的视角对教学内容、教学方式、考核要求和教学设计等要素进行了重构.具体表现在,高阶性是以"五位一体"的方式重构课程内容体系;创新性以开设慕课的形式,内容中融入课程思政元素,同时线上线下共同协作,进行混合式教学;挑战度可在课程考核中增加课程思政元素的要求,课堂讨论中增加价值取向、探索精神等内容,另外让学生面对真实世界的思政问题.文章最后给出了课程思政融入建模教学过程中的几个关键点.     

“曲面面积”的教学设计探讨

由实际案例引入“曲面面积”教学内容，在类比、观察的基础上，推导出曲面的面积公式，然后利用曲面的面积公式完成实际案例的数学建模，实现了从提出问题到分析、解决问题的闭环，并在教学过程中融入课程思政，帮助学生树立正确的数学学习观，培养学生应用数学的能力.     

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.     

“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.     

数学史视角下的课程思政教学案例研究——以《初等数论》的“中国剩余定理”为例

本文以“中国剩余定理”为例，开展《初等数论》课程思政的教学案例研究.通过研究“中国剩余定理”教学实践，增强了学生对中国古代数学的认识，在一定程度上让学生树立了民族文化自信与文化自觉，在增强学生学习数学兴趣的同时，也加强了学生爱国主义思想为主的新时代思政教育.     

在新课导入中引入数学史思政元素

将课程思政有机融入中职数学课程内容与教学中是实现立德树人根本任务的必然要求.本文中结合具体教学设计从挖掘数学演进相关文献史料、数学美育元素和数学家的数学探索过程等方面探讨了课程思政元素有机融入中职数学课程教学的策略.     

Response to key issues raised in the Post-14 mathematics inquiry

This article is a detailed response to the issues raised by the Post-14 Mathematics Inquiry in the UK. It aims to debate some of the central issues in mathematics teaching in the UK, including recruitment and retention of mathematics teachers, the curriculum content, national assessment, teaching resources (including ICT) and national strategies and policy (including inspection). Throughout, we have tried to base our recommendations on evidence and experience from the many teachers and tutors we work with as well as on our own experience. We have not hesitated to make what could be seen as controversial recommendations, but we believe a fundamental rethink of education policy and practice is needed if mathematics teaching and learning is to improve. We have also considered the impact that a proposed ‘National Centre for Excellence in Mathematics Education’ might have on the situation, although we doubt that it can have a marked long-term impact in the current UK situation.     

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.     

Understanding the development of mathematical work in the context of the classroom

ZDM – Mathematics Education - According to our approach to mathematics education, the optimal aim of the teaching of mathematics is to assist students in achieving efficient mathematical...     

A Sino-German semi-virtual seminar in mathematics education

In summer 2006 the University of Education in Weingarten, Germany, and East China Normal University, Shanghai, performed a semi-virtual seminar with mathematics students on “Mathematics and Architecture”. The goal was the joint development of teaching materials for German or Chinese school, based on different buildings such as “Nanpu Bridge”, or the “Eiffel Tower”. The purpose of the seminar was to provide a learning environment for students supported by using information and communication technology (ICT) to understand how the hidden mathematics in buildings should be related to school mathematics; to experience the multicultural potential of the international language “Mathematics”; to develop “media competence” while communicating with others and using technologies in mathematics education; and to recognize the differences in teaching mathematics between the two cultures. In this paper we will present our ideas, experiences and results from the seminar.     

Pourquoi et pour qui enseigner les mathématiques?

The history of reform in the teaching of mathematics in Quebec since the start of the 20th Century has been strongly influenced by a social and political context that gives meaning to its particular orientation. In this paper, we attempt to trace the important moments in the evolution of the teaching of mathematics through the roles and missions that successive governments have given to schooling and subsequent curricular reforms. Our analysis shows that the teaching of mathematics has evolved from an essentially practical role, prior to 1945, to a double role that is both practical and cultural in the 1950s, with the balance tipped in favor of the practical role. In the 1960s, the political will for universal education and, more recently, the concern over forming persons who can adapt to a constantly evolving society, are gradually pushing the Quebec curricula towards major changes. Mathematics is presented as a powerful tool that gives one a handle on reality, a complement of culture and an important language that is essential to the communication of ideas. Throughout the various reforms, these two finalities-the practical and the cultural-are constantly present, varying in importance and meaning with the successive roles attributed to schools. Our analysis shows a strong pragmatic anchoring of the first mathematics programs in Quebec, one that has not disappeared over time. The gradual curricular changes show, however, a progressive integration of the cultural formation role of mathematics     

中美大学数学教育研究之比较

论证了大学数学教育是高等教育的核心,数学教育本质上是一种素质教育,数学的应用遍及自然科学和社会科学.数学是大学理工科各专业知识的基础;探讨了大学数学教育研究的重要性,对中美大学数学教育的研究进行了对比,指出我们在研究大学数学教育方面的不足之处,提出了我们在大学数学教育研究方面的任务和目标.     

Classroom note A Capstone Course for pre-service secondary mathematics teachers

In the decade since the first of three National Council of Teachers of Mathematics Standards documents was published, there has been an unprecedented amount of attention to, and activity surrounding, issues in mathematics education at all levels. The Department of Mathematics at Baylor University has taken the first of several necessary steps to provide future mathematics teachers with the best possible preparation. The paper reports efforts at Baylor University to involve their secondary mathematics education students in new teaching methods and the use of technology in the teaching of mathematics at the secondary level. A number of examples are given of how pre-service mathematics teachers connect ideas across mathematics courses and develop personal self-confidence and a disposition to seek, evaluate, and use quantitative and spatial information in problem-solving.     

Promoting fundamental change in mathematics teaching: a theoretical, methodological, and empirical approach to the problem

Mathematics education reform, as conceptualized in the United States and a number of other countries, represents a fundamental change in the teaching of mathematics and the results it would produce for students. Whereas there are data that suggest some progress is being made in the direction of reform, teacher education and professional development during the last two decades have been largely unsuccessful in preparing teachers to enact the reform vision. In this article, I present a theoretical construct, major assimilatory structures, that can contribute to explaining the difficulty of promoting change in mathematics teaching. I describe a methodology—accounts of practice—for identifying major assimilatory structures of teachers and present an example of a major assimilatory structure, perception-based perspective, that emerged from our empirical work.     

Linking Preservice Teachers' Mathematics Self‐Efficacy and Mathematics Teaching Efficacy to Their Mathematical Performance

This study examined preservice teachers' mathematics self‐efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern university. Instruments included the Mathematics Self‐Efficacy Scale (MSES), Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), and the Illinois Certification Testing System (ICTS) Basic Skills Test. The results indicate that preservice teachers' mathematics self‐efficacy is positively correlated to their personal mathematics teaching efficacy. In addition, their mathematical performance is related to their mathematics self‐efficacy and mathematics teaching efficacy. In regard to affecting student outcomes, only those preservice teachers who are very confident in their ability to teach believe they can have an effect on their students. Implications on teacher education programs are discussed.