In the context of the new era of education,advanced mathematics not only undertakes the function of knowledge transmission but also plays a vital role in cultivating logical thinking,scientific spirit,and value orient...In the context of the new era of education,advanced mathematics not only undertakes the function of knowledge transmission but also plays a vital role in cultivating logical thinking,scientific spirit,and value orientation.However,traditional teaching has overemphasized knowledge instillation while neglecting value guidance,making it difficult to meet the demands of cultivating interdisciplinary talents.This study introduces the OBE concept and constructs a“knowledge–ability–value”teaching framework,integrating outcome orientation,backward design,and diversified evaluation to promote the systematic incorporation of ideological and political education into the curriculum.Taking limits,definite integrals,and series as representative knowledge points,the paper designs case-based pathways to foster dialectical thinking,patriotism,and scientific spirit.Practice has shown that this model effectively unifies knowledge education and value education,enhancing students’logical reasoning,sense of responsibility,and scientific literacy.The study provides an operational pathway for the reform of ideological and political education in advanced mathematics courses and carries practical significance for implementing the goal of“all-round education.”展开更多
As a fundamental course in science and engineering education at universities,advanced mathematics plays an irreplaceable role in cultivating students’logical thinking,scientific spirit,and comprehensive qualities.Int...As a fundamental course in science and engineering education at universities,advanced mathematics plays an irreplaceable role in cultivating students’logical thinking,scientific spirit,and comprehensive qualities.Integrating ideological and political education into advanced mathematics teaching is not only an inevitable requirement for achieving the goal of“three-dimensional and holistic education”but also a crucial path for promoting students’comprehensive development.This article delves into the necessary logic,practical possibilities,and real-world challenges of ideological and political education in advanced mathematics courses,systematically analyzing the implementation pathways and illustrating practical approaches through specific cases.Meanwhile,to address issues such as insufficient teacher capability,lagging resource development,disconnected instructional design,and inadequate evaluation mechanisms encountered during implementation,this article proposes practical improvement strategies.It aims to provide theoretical insights and practical guidance for the further advancement of ideological and political education in advanced mathematics courses.展开更多
In recent years,the rapid development of artificial intelligence(AI)technology has been driving profound transformations in higher education.As a fundamental course in science and engineering disciplines,Advanced Math...In recent years,the rapid development of artificial intelligence(AI)technology has been driving profound transformations in higher education.As a fundamental course in science and engineering disciplines,Advanced Mathematics plays a crucial role in cultivating students’logical thinking and innovative capabilities.However,the current teaching models exhibit significant shortcomings in fostering students’ability to identify and solve problems,primarily reflected in the monotony of teaching content,the limitations of students’thinking,and the constraints of instructional methods.In response to these issues,this paper proposes an AI-based teaching approach for Advanced Mathematics.By utilizing scenario simulations to guide students in discovering problems and employing modeling tools to assist them in solving problems in real time,the study constructs a comprehensive teaching model that spans the entire process from problem identification to problem resolution.Research findings indicate that the application of AI technology can effectively enhance students’abilities in problem awareness,logical reasoning,and creative thinking.This study provides both theoretical support and practical reference for the reform of Advanced Mathematics education and the innovation of higher-level talent cultivation models.展开更多
International student enrollment has rapidly grown in China,positioning transnational education as a significant component of the country’s higher education system.So our study investigates an innovative teaching app...International student enrollment has rapidly grown in China,positioning transnational education as a significant component of the country’s higher education system.So our study investigates an innovative teaching approach that combines the Knowing-Understanding-Doing(KUD)framework with the BOPPPS pedagogical model(which includes the Bridge-in,Objective,Pre-assessment,Participatory Learning,Post-assessment,and Summary components),with specific application to undergraduate mathematics teaching for international students at a Chinese university.Taking Calculus 1 as a case study,our study evaluates the implementation efficacy of this integrated approach.The findings offer valuable insights for those seeking to enhance the quality and effectiveness of their teaching methodologies in culturally diverse undergraduate mathematics classrooms.展开更多
In this paper,the necessity of constructing a golden course for Advanced Mathematics is presented.For teachers,golden courses enhance their teaching ability and job satisfaction.For students,golden courses improve the...In this paper,the necessity of constructing a golden course for Advanced Mathematics is presented.For teachers,golden courses enhance their teaching ability and job satisfaction.For students,golden courses improve their sense of learning value and significance and encourage them to actively learn and participate deeply.Next,the relevant content of course ideological and political construction is provided.Finally,a specific approach was proposed to create a golden course for Advanced Mathematics by integrating ideological and political education into the curriculum.展开更多
In this paper, we conduct research on the applications of advanced mathematics on the mathematical modeling and the inner connections with linear algebra and the probability statistics. Aiming at model in mathematical...In this paper, we conduct research on the applications of advanced mathematics on the mathematical modeling and the inner connections with linear algebra and the probability statistics. Aiming at model in mathematical modeling and solving and model of evaluation and promotion of the two links, put forward the ＂bystander＂ and ＂the authorities＂ this two characters, and points out that excellent mathematical modeling participants should have ＂from a bystander to the authorities＂ and ＂from the authorities to return to bystanders＂ two-way role transformation ability. Great situation in mathematics teaching, by means of the mathematical modeling formed in the development of the teachers, as well as the teaching thought, teaching experience and achievements, the onward march of mathematical experiment should be faster than mathematical modeling. Our research provides the new paradigm for the math development which will be meaningful.展开更多
Science and technology are advancing at a breakneck pace.Only individuals with strong mathematical skills and knowledge will be able to adapt to social development and progress.However,advanced mathematics education i...Science and technology are advancing at a breakneck pace.Only individuals with strong mathematical skills and knowledge will be able to adapt to social development and progress.However,advanced mathematics education is often neglected in vocational universities.Student and conceptual factors are invariably to blame.Therefore,it is urgent to improve the teaching quality of advanced mathematics in vocational universities.In improving the teaching quality,it is necessary to change the teaching mode,advocate interest in learning,emphasize on the cultivation of students’skills during teaching,implement stratified teaching,lay emphasis on mathematical models,and strengthen the evaluation and assessment of students.展开更多
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 teach...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.展开更多
基金2024 Education and Teaching Reform Project(Project No.:JG2024047)Basic Scientific Research Funding of the Xinjiang Uygur Autonomous Region(Project No.:XQZX20250005)。
文摘In the context of the new era of education,advanced mathematics not only undertakes the function of knowledge transmission but also plays a vital role in cultivating logical thinking,scientific spirit,and value orientation.However,traditional teaching has overemphasized knowledge instillation while neglecting value guidance,making it difficult to meet the demands of cultivating interdisciplinary talents.This study introduces the OBE concept and constructs a“knowledge–ability–value”teaching framework,integrating outcome orientation,backward design,and diversified evaluation to promote the systematic incorporation of ideological and political education into the curriculum.Taking limits,definite integrals,and series as representative knowledge points,the paper designs case-based pathways to foster dialectical thinking,patriotism,and scientific spirit.Practice has shown that this model effectively unifies knowledge education and value education,enhancing students’logical reasoning,sense of responsibility,and scientific literacy.The study provides an operational pathway for the reform of ideological and political education in advanced mathematics courses and carries practical significance for implementing the goal of“all-round education.”
文摘As a fundamental course in science and engineering education at universities,advanced mathematics plays an irreplaceable role in cultivating students’logical thinking,scientific spirit,and comprehensive qualities.Integrating ideological and political education into advanced mathematics teaching is not only an inevitable requirement for achieving the goal of“three-dimensional and holistic education”but also a crucial path for promoting students’comprehensive development.This article delves into the necessary logic,practical possibilities,and real-world challenges of ideological and political education in advanced mathematics courses,systematically analyzing the implementation pathways and illustrating practical approaches through specific cases.Meanwhile,to address issues such as insufficient teacher capability,lagging resource development,disconnected instructional design,and inadequate evaluation mechanisms encountered during implementation,this article proposes practical improvement strategies.It aims to provide theoretical insights and practical guidance for the further advancement of ideological and political education in advanced mathematics courses.
基金supported by the 2023 Teaching Reform and Research Project of China University of Petroleum(Beijing),Karamay Campus(Grant No.JG2023048)the 2024 National Undergraduate Innovation and Entrepreneurship Training Program of China(Project No.202419414009)the 2024 General Program of the Natural Science Foundation of Xinjiang Uygur Autonomous Region(Grant No.2024D01A160).
文摘In recent years,the rapid development of artificial intelligence(AI)technology has been driving profound transformations in higher education.As a fundamental course in science and engineering disciplines,Advanced Mathematics plays a crucial role in cultivating students’logical thinking and innovative capabilities.However,the current teaching models exhibit significant shortcomings in fostering students’ability to identify and solve problems,primarily reflected in the monotony of teaching content,the limitations of students’thinking,and the constraints of instructional methods.In response to these issues,this paper proposes an AI-based teaching approach for Advanced Mathematics.By utilizing scenario simulations to guide students in discovering problems and employing modeling tools to assist them in solving problems in real time,the study constructs a comprehensive teaching model that spans the entire process from problem identification to problem resolution.Research findings indicate that the application of AI technology can effectively enhance students’abilities in problem awareness,logical reasoning,and creative thinking.This study provides both theoretical support and practical reference for the reform of Advanced Mathematics education and the innovation of higher-level talent cultivation models.
基金Zhejiang Provincial First-Class Undergraduate Internationalized Course of‘Calculus 1’Teaching Reform Project of the Research and Development Center for University Mathematics Teaching in Higher Education Institutions(Project No.:CMC20240641)Provincial-level undergraduate teaching reform projects in Zhejiang province(Project No.:JGBA2024350)。
文摘International student enrollment has rapidly grown in China,positioning transnational education as a significant component of the country’s higher education system.So our study investigates an innovative teaching approach that combines the Knowing-Understanding-Doing(KUD)framework with the BOPPPS pedagogical model(which includes the Bridge-in,Objective,Pre-assessment,Participatory Learning,Post-assessment,and Summary components),with specific application to undergraduate mathematics teaching for international students at a Chinese university.Taking Calculus 1 as a case study,our study evaluates the implementation efficacy of this integrated approach.The findings offer valuable insights for those seeking to enhance the quality and effectiveness of their teaching methodologies in culturally diverse undergraduate mathematics classrooms.
基金Project of Heilongjiang University of Finance and Economics(XJYB2024056)Project of Heilongjiang University of Finance and Economics(XJYB2024057)。
文摘In this paper,the necessity of constructing a golden course for Advanced Mathematics is presented.For teachers,golden courses enhance their teaching ability and job satisfaction.For students,golden courses improve their sense of learning value and significance and encourage them to actively learn and participate deeply.Next,the relevant content of course ideological and political construction is provided.Finally,a specific approach was proposed to create a golden course for Advanced Mathematics by integrating ideological and political education into the curriculum.
文摘In this paper, we conduct research on the applications of advanced mathematics on the mathematical modeling and the inner connections with linear algebra and the probability statistics. Aiming at model in mathematical modeling and solving and model of evaluation and promotion of the two links, put forward the ＂bystander＂ and ＂the authorities＂ this two characters, and points out that excellent mathematical modeling participants should have ＂from a bystander to the authorities＂ and ＂from the authorities to return to bystanders＂ two-way role transformation ability. Great situation in mathematics teaching, by means of the mathematical modeling formed in the development of the teachers, as well as the teaching thought, teaching experience and achievements, the onward march of mathematical experiment should be faster than mathematical modeling. Our research provides the new paradigm for the math development which will be meaningful.
基金Science Research Foundation of Yunnan Open University(Grant Number:21YNOU13)Web Front-End Development Research Center of Yunnan Open University。
文摘Science and technology are advancing at a breakneck pace.Only individuals with strong mathematical skills and knowledge will be able to adapt to social development and progress.However,advanced mathematics education is often neglected in vocational universities.Student and conceptual factors are invariably to blame.Therefore,it is urgent to improve the teaching quality of advanced mathematics in vocational universities.In improving the teaching quality,it is necessary to change the teaching mode,advocate interest in learning,emphasize on the cultivation of students’skills during teaching,implement stratified teaching,lay emphasis on mathematical models,and strengthen the evaluation and assessment of students.
文摘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.
