A Study on High School Mathematics Teaching Design Based on Teaching for Robust Understanding: Taking the Cosine Theorem as an Example

Teachers’teaching behavior plays a crucial role in students’development,and there are problems in the current teaching behavior of mathematics teachers such as ignoring students’cognitive needs,lack of equal opportunities for students’classroom performance as well as lack of formative evaluation of students.In order to solve the phenomenon,this paper analyzes and explains how to promote teaching based on the Teaching for Robust Understanding(TRU)evaluation framework with the goal of focusing on the development of all students,taking the teaching design of The Cosine Theorem as an example,and provides ideas and methods for first-line high school mathematics teachers.

Research on the Teaching Design of Advanced Mathematics Courses Based on Outcome-Based Education Concept

This paper first analyzes the characteristics and current situation of the Advanced Mathematics course;secondly,it proposes a teaching model that integrates the outcome-based education(OBE)philosophy and blended teaching method,reorganizing the teaching objectives,teaching content,and assessment evaluation process of the Advanced Mathematics course;lastly,through practice,it is proved that this approach can effectively improve students’mastery of course content,enhance students’ability to apply mathematical knowledge,and strengthen teaching effectiveness.

Integration of Mathematics History into Junior Middle School Education: A Pedagogical Approach to Enhance Mathematical Literacy

The integration of the history of mathematics into junior middle school mathematics education represents a significant focus of international research in mathematics and education.The mathematics curriculum standards for compulsory education have emphasized the importance of incorporating the history of mathematics,aiming to gradually integrate it into the mathematics classroom.However,in the practical implementation of junior middle school mathematics education,the effective combination of the history of mathematics with teaching methodologies remains largely unexplored.This article explores the integration of junior middle school mathematics education and the history of mathematics,aiming to provide classroom teaching recommendations for teachers and promote the formation of students’mathematical literacy.

Research on the Teaching Reform of Medical Higher Mathematics with BOPPPS Teaching Module

Using BOPPPS teaching module combined with the present situation of medical higher mathematics teaching in Guangxi University of Chinese Medicine, this paper introduces the application of this teaching method in medical higher mathematics teaching, and explores the thinking of teaching reform of medical higher mathematics in Guangxi University of Chinese Medicine, so as to improve classroom teaching efficiency.

Thoughts about the Innovation of Mathematics Teaching Mode in Higher Vocational Colleges from the Viewpoint of “Task List”

With the reform of talent demand mode in China,in today’s society,the need for talents of enterprises are more inclined to application-type vocational and technical talents,this has created enormous opportunities for the growing of higher vocational colleges which are the incubation base for applied talents,at the same time,it also exposes the practical problems of the backwardness of the current mathematics teaching mode in higher vocational colleges,thus brings unfavorable influence on the implementation of the talent cultivation program in higher vocational colleges,“Task list”is one of the teaching requirements put forward by China’s educational reform in the new age,and the important direction for higher vocational colleges to reform the mathematics teaching mode in the new age.

Research and Practice of Moral Education in Higher Mathematics Teaching in the New Era

This paper first analyses the reasons for the low effectiveness of moral education in the current higher mathematics teaching,and then puts forward the contents,methods,and approaches of integrating moral education into higher mathematics teaching in the new era on this basis,and finally finds out the points for attention in the integration of moral education in higher mathematics teaching in the new era.Theoretically,the moral education content is innovated.We should set up the moral education idea of students as the foundation and moral education as the first,establish the attainable goals of moral education in different stages and levels,excavate the moral education resources contained in the current real life and social hot spots,and pay attention to the inheritance and enlightenment of Chinese excellent traditional culture,especially the mathematical culture and history in moral education.In practice,the moral education methods are improved and the moral education approaches are broadened.Moral education methods should be close to reality and life,should adapt to students’personality and hobbies,and should be diversified.Moral education can be carried out by improving the working mechanism of moral education management,publicity,and so on,strengthening the construction of moral education team and creating an atmosphere of full staff education.

Higher Mathematics Curriculum Reform in Higher Vocational Colleges under Blended Teaching Model

Blended teaching can organically integrate face-to-face classroom teaching and online teaching, so as to achieve the best teachingeffect. Based on this, first of all, the current situation of higher mathematics teaching in Higher Vocational Colleges in China andthe drawbacks in the teaching process were pointed out in this study;then the characteristics of Higher Vocational students'mathematics learning and their needs for blended teaching were analyzed;finally, a new blended teaching mode was put forwardand the effectiveness of this new teaching mode was proved through experiments. The application of blended teaching mode inmathematics classroom teaching can combine online and offline teaching and learning, which can not only provide students withresources and conditions beyond the traditional teaching system, but also provide broad prospects for teachers' teachingdevelopment, this is conducive to improving students' ability of independent learning, analyzing and solving practical problems,and to cultivating high-quality practical talents.

Teaching Reform and Practice on Course Construction of Discrete Mathematics

Discrete mathematics studies the respective structures,laws and interrelationships of different discrete quantities,which has a wide range of applications in computer science and software engineering.It has the characteristics of research,practice and innovation.The teaching goals of the course of discrete mathematics include not only the understanding and mastery of knowledge,but also the study of methodology.However,current teaching mechanism has limitations in outdated course contents,rare real project examples and nonscientific scoring modes.This paper attempts to think about the course construction of discrete mathematics to improve the teaching effects and cultivate students’practical ability.

Teaching Reform and Practice of “Mathematical Analysis” under the New Engineering Education Paradigm

With the advent and promotion of the new engineering education paradigm,university mathematics courses face new challenges and opportunities.As a fundamental course for engineering majors,the reform of“Mathematical Analysis”is particularly crucial.This paper explores the necessity,specific practices,and outcomes of teaching reform in“Mathematical Analysis”within the context of the new engineering education.By reforming teaching content,methods,and assessment approaches,this study aims to enhance students’mathematical literacy and comprehensive abilities to meet the demands of the new engineering education development.

Integration of Ideological and Political Education into the Probability Theory and Mathematical Statistics Course:A Teaching Design Based on Estimation and Hypothesis Testing

With the rapid development of higher education in China,colleges and universities are facing new challenges and impacts in talent training.Probability Theory and Mathematical Statistics is one of the important courses in higher education for science and engineering majors and economics and management majors.Its critical role in cultivating students’thinking skills and improving their problem-solving skills is self-evident.Course ideological and political education construction is an important link in college talent training work.Combining ideological and political education with course teaching can help students establish correct value concepts and play a certain role in improving their comprehensive ability and quality.At present,the construction of ideological and political education in the Probability Theory and Mathematical Statistics course still faces some problems,mainly manifested in the lack of attention paid by teachers to course ideological and political education,insufficient exploitation of ideological and political elements,and the simplification of ideological and political education implementation methods.In order to comprehensively deepen the construction of course ideological and political education in line with the actual needs of Probability Theory and Mathematical Statistics course teaching,we should strengthen the construction of teacher teams,improve teachers’ability to carry out course ideological and political education,integrate educational resources,develop educational resources for ideological and political education,and innovate teaching methods to improve the overall effect of ideological and political education integration.

Research on HPM Teaching Supported by Hawgent Dynamic Mathematics Software: Take "The Recognition of Circle" as an Example

History and Pedagogy of Mathematics(HPM)is one of the important research fields in mathematics education,which has received widespread attention from the mathematics education community because of its educational value.Modem mathematics education technology plays an important auxiliary role in mathematics teaching.Hawgent is a dynamic mathematics software that can present abstract mathematical knowledge visually and static mathematical knowledge dynamically.In view of this,this research takes"the recognition of circle" as an example to conduct a research on HPM teaching supported by Hawgent Dynamic Mathematics Software in three aspects:analyze the contents and uncover the history of mathematics,make the products and show the history of mathematics,design the teaching and integrate the history of Mathematics.

Problem-based Learning Combining Seminar Teaching Method for the Practice of Mathematical Modeling Course's Teaching Reform for Computer Discipline

Mathematical modeling course has been one of the fast development courses in China since 1992,which mainly trains students’innovation ability.However,the teaching of mathematical modeling course is quite difficult since it requires students to have a strong mathematical foundation,good ability to design algorithms,and programming skills.Besides,limited class hours and lack of interest in learning are the other reasons.To address these problems,according to the outcome-based education,we adopt the problem-based learning combined with a seminar mode in teaching.We customize cases related to computer and software engineering,start from simple problems in daily life,step by step deepen the difficulty,and finally refer to the professional application in computer and software engineering.Also,we focus on ability training rather than mathematical theory or programming language learning.Initially,we prepare the problem,related mathematic theory,and core code for students.Furtherly,we train them how to find the problem,and how to search the related mathematic theory and software tools by references for modeling and analysis.Moreover,we solve the problem of limited class hours by constructing an online resource learning library.After a semester of practical teaching,it has been shown that the interest and learning effectiveness of students have been increased and our reform plan has achieved good results.

师范院校高等数学教学存在的问题与对策

高等数学是诸多师范专业必修的公共基础课,对于培养学生的专业学科素养和思维能力发挥着不可替代的作用。师范院校高等数学教学存在教学大纲一刀切,教学方法因循守旧,评价方式单一的问题,应对教学大纲进行优化调整,细化到每个学院的每个专业;改进教学方法,以线上线下的混合式教学模式代替单一的线下教学模式,同时将翻转课堂引进高数课堂;建立以专业为导向的多元、科学、有效的课程评价方式,以更大程度上促进高等数学课程目标的实现。

教育数字化背景下高等数学教学改革探索与实践

高等数学是理工经管类专业后续课程的基础,其思想方法对培养学生的抽象思维能力、逻辑推理能力、分析问题、解决问题的能力以及激发学生的创新能力等方面起着其他课程教学无法替代的作用。为打破传统以教师为中心的教学模式,文章引入数字化技术,以专业导向为着力点,从更新教学理念、丰富与时俱进的教学内容、创新教学方法和设计多元化的考评体系四个方面,探讨高等数学课程的教学改革,结合雨课堂平台开展线上线下融合式教学,在实践教学中取得了显著成效。

大学数学课程思政元素的挖掘与教学实践——以高等数学为例

该文从“弘扬爱国主义精神和民族自信教育”“马克思主义哲学原理和数学思想”“数学建模与培养探索未知,追求真理的科学精神”三个方面挖掘高等数学课程的思政元素,培养学生科学素养的同时引导学生树立正确的人生观、价值观、世界观,以达到全面育人的目的。从教学实践和学生评教效果来看,挖掘的课程思政元素在课堂教学中已经取得一定成效。

工程教育认证下“概率论与数理统计”教学改革

“概率论与数理统计”是理工和经管类各专业的数学基础课程,课程中的方法在解决实际问题时应用广泛。但是该课程理论性强、学习难度大,课程教学中通常存在课时少、实践少、学用分离等教学痛点,不符合工程教育认证理念。分析了防灾科技学院地质工程专业工程教育认证对“概率论与数理统计”课程的要求,以及大学传统的数学课堂教学存在的问题,结合地质工程专业发展规划和应用型人才培养目标,探讨如何进行数学类课程的教学改革,以达到工程教育认证标准。

新工科教育背景下高校工科生的数学成熟度探究

新工科教育背景下,数学成熟度是工程教育和高校工科生职业成功的关键因素。数学成熟度定义为使学生能够解决复杂问题、批判性思考和有效沟通的数学理解能力和熟练程度。探讨数学成熟度对工科学生的重要性,并提出工科学生数学成熟度的自我提高和培养策略。培养策略包括案例教学、融入数学建模、引入计算机辅助教学、采用问题驱动教学法、跨学科交流。详细讨论了每项策略,并提供了具体实例说明实施办法。旨在为高校工科生学习提供建议;为工程教育领域的教育工作者和研究人员提供参考,并促进开发有效的干预措施,以提高工科专业学生的数学成熟度。

高校数学课程思政要素体系与融入方式——基于“全国高校青年教师教学竞赛”获奖作品分析

构建数学课程思政要素体系是进行课程思政深入研究的需要.从科学精神与伦理、哲学与思想、品德与法治、情怀与信念4个维度,构建了高校数学课程思政要素体系,指出了思政融入的附加式、顺应式、融合式3种方式.以近三届“全国高校青年教师教学竞赛”中的数学课程获奖作品为样本,采用录像分析法进行分析.结果表明,所有选手都融入了课程思政,案例内容主要集中在中国故事、思想方法、品德修养等方面;采用附加式的作品较多,顺应式和融合式的作品较少;顺应式、融合式的教学设计,高契合度的思政内容,由浅入深、丝丝入扣的逻辑结构更容易获得专家的青睐.

人工智能背景下高等数学课程课堂创新的实践探索

在人工智能背景下,本研究改革了高等数学的传统教学模式,引入智慧课堂工具以增强教学互动和个性化学习。利用教学数据预测学生需求,实现教学内容的实时优化。在专业人才培养框架下,教学内容得到重组和拓展,突出了高等数学的应用价值和未来方向。实验证明,这些创新举措有效提升了学生的课堂参与度和学习效果,为高等数学教学提供了创新路径,展示了人工智能时代教学改革的可行性和实践价值。