Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Appli...Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.展开更多
Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Appli...Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.展开更多
Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Appli...Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.展开更多
Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Appli...Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad felds of sciences and technology,scientists and engineers interested in mathematics.展开更多
主题语境:个人成长与教育,篇幅:357词,建议用时:7分钟,In a remarkable academic feat,10-year-old Alisa Perales from San Bernardino is set to receive two associate degrees,becoming the youngest graduate in her schools histo...主题语境:个人成长与教育,篇幅:357词,建议用时:7分钟,In a remarkable academic feat,10-year-old Alisa Perales from San Bernardino is set to receive two associate degrees,becoming the youngest graduate in her schools history.According to California Community Colleges,she achieved these degrees in multiple sciences and mathematics with a near-perfect GPA.展开更多
Drawing upon a wealth of primary documents and research materials,this paper presents a systematic and comprehensive examination of the introduction and transmission of calculus in China and Japan from the mid-ninetee...Drawing upon a wealth of primary documents and research materials,this paper presents a systematic and comprehensive examination of the introduction and transmission of calculus in China and Japan from the mid-nineteenth century to the early twentieth century.It also brings to light newly identified historical documents.Building on this foundation,the paper offers a comparative analysis of the transmission and development of calculus and other forms of Western mathematical knowledge in the two countries and proposes new perspectives on why modern mathematics advanced rapidly in Japan but developed more slowly in China.展开更多
Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Appli...Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.展开更多
In 1955,a young woman named Annie Easley heard about jobs at a space center in Ohio.The space centre was looking for“human computers”.This was before most people used computer machines.The space centre wanted people...In 1955,a young woman named Annie Easley heard about jobs at a space center in Ohio.The space centre was looking for“human computers”.This was before most people used computer machines.The space centre wanted people with strong maths skills.Annie was only twenty-two,but she had always been good at maths.So she got the job.In time,the space centre Annie worked at became a part of NASA,which sends people into space.展开更多
Founded in 2008 and appears bimonthly,Studies in Logic,the first journal in China dedicated to logic and related disciplines,publishes peer reviewed research articles in English and Chinese.The journal is jointly spon...Founded in 2008 and appears bimonthly,Studies in Logic,the first journal in China dedicated to logic and related disciplines,publishes peer reviewed research articles in English and Chinese.The journal is jointly sponsored by the Chinese Association of Logic and Sun Yat-sen University,and published by the Institute of Logic and Cognition,Sun Yat-sen University.The editorial board consists of a group of outstanding scholars from both China and abroad in philosophy,computer science,mathematics,linguistics and other related areas.展开更多
Founded in 2008 and appears bimonthly,Studies in Logic,the first journal in China dedicated to logic and related disciplines,publishes peer reviewed research articles in English and Chinese.The journal is jointly spon...Founded in 2008 and appears bimonthly,Studies in Logic,the first journal in China dedicated to logic and related disciplines,publishes peer reviewed research articles in English and Chinese.The journal is jointly sponsored by the Chinese A ssociation of Logic and Sun Yat-sen University,and published by the Institute of Logic and Cognition,Sun Yat-sen University.The editorial board consists of a group of outstanding scholars from both China and abroad in philosophy,computer science,mathematics,linguistics and other related areas.展开更多
As a tool for quantifying individuals’visual attention and information processing,eye-tracking technology is gradually being applied in the reform of higher education.This paper focuses on issues in university mathem...As a tool for quantifying individuals’visual attention and information processing,eye-tracking technology is gradually being applied in the reform of higher education.This paper focuses on issues in university mathematics teaching,such as heavy cognitive load,delayed feedback,and insufficient adaptability.Based on theories of cognitive psychology,the study explores application pathways of this technology in cognitive diagnosis,instructional optimization,classroom regulation,personalized support,and teaching assessment.Research shows that eye-tracking data can reveal key cognitive features during the learning process,enhance the visualization of instructional feedback,and improve the scientific basis of decision-making.This provides both theoretical support and practical reference for data-driven and precise transformation in university mathematics education.展开更多
Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Appli...Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.展开更多
Under the background of information technology in education,there is insufficient integration of technological knowledge,pedagogical knowledge,and subject content knowledge in the teaching of propositions in high scho...Under the background of information technology in education,there is insufficient integration of technological knowledge,pedagogical knowledge,and subject content knowledge in the teaching of propositions in high school mathematics.Teachers mostly equate information technology with multimedia presentations,and students often memorize formulas mechanically,which leads to difficulties in the application of complex propositions.In this study,we take“the cosine formula of the difference between two angles”as an example.Based on the TPACK framework,we use contextual teaching and geometric drawing board demonstration to integrate subject content,pedagogical knowledge,and technological knowledge in teaching design and practice.It is found that by dynamically displaying the derivation process of the formula and guiding students to explore independently,it can help them understand the logic of the formula and improve their application ability.This study provides a paradigm for teaching propositions in high school mathematics and suggests that the TPACK framework can facilitate knowledge integration and cultivate students’mathematical literacy such as problem posing and creative inquiry,which is of great significance for teaching practice.展开更多
In the context of the“Two New”initiatives,high school mathematics instruction still grapples with three interlocking problems:knowledge fragmentation,limited cultivation of higher-order thinking,and weak alignment a...In the context of the“Two New”initiatives,high school mathematics instruction still grapples with three interlocking problems:knowledge fragmentation,limited cultivation of higher-order thinking,and weak alignment among teaching,learning,and assessment.To counter these challenges,we propose an Inquiry-Construction Double-Helix model that uses a domain-specific knowledge graph as its cognitive spine.The model interweaves two mutually reinforcing strands-student-driven inquiry and systematic knowledge construction-into a double-helix trajectory analogous to DNA replication.The Inquiry Strand is launched by authentic,situation-based tasks that shepherd students through the complete cycle:question→hypothesis→verification→reflection.The Construction Strand simultaneously externalizes,restructures,and internalizes core disciplinary concepts via visual,hierarchical knowledge graphs.Within the flow of a lesson,the two strands alternately dominate and scaffold each other,securing the co-development of conceptual understanding,procedural fluency,and mathematical literacy.Empirical evidence demonstrates that this model significantly enhances students’systematic knowledge integration,problem-solving transfer ability,and core mathematical competencies,offering a replicable and operable teaching paradigm and practical pathway for deepening high school mathematics classroom reform.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 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
To meet the demands of higher education reform and innovative talent cultivation,the teaching team of Tarim University,with ability cultivation as the core,has established a new“331”university mathematics teaching s...To meet the demands of higher education reform and innovative talent cultivation,the teaching team of Tarim University,with ability cultivation as the core,has established a new“331”university mathematics teaching system.Through the multi-dimensional linkage of master teachers’guidance,course optimization,stratified teaching,practical reinforcement,and competition-driven,it has significantly improved students’mathematical application ability and innovative quality.展开更多
Mathematics is a basic course for cultivating advanced technical talents,a core course for students in the basic education stage,mathematical knowledge content is the foundation of professional courses,mathematical th...Mathematics is a basic course for cultivating advanced technical talents,a core course for students in the basic education stage,mathematical knowledge content is the foundation of professional courses,mathematical thinking ability is one of the abilities for students’sustainable development,mathematical literacy is a basic quality that students should possess,and it carries the function of implementing the fundamental task of fostering virtue and nurturing talent and developing quality-oriented education.It has the characteristics of being fundamental,developmental,applied,and vocational.In today’s era of rapid development of artificial intelligence and big data,mathematics plays a huge role in production and life.This paper briefly expounds and analyzes the current situation of mathematics teaching,explores the significance of information-based teaching for mathematics teaching,and on this basis,proposes relevant strategies for information-based mathematics teaching,including knowledge visualization,the use of information technology to create mathematics teaching scenarios,the realization of efficient mathematics teaching through micro-lessons,and the realization of teaching interaction through network platforms.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 the context of the continuous deepening of the“Double Reduction”policy and the growing demand for quality education,leveled mathematics readers,as an emerging form of publishing that integrates subject education ...In the context of the continuous deepening of the“Double Reduction”policy and the growing demand for quality education,leveled mathematics readers,as an emerging form of publishing that integrates subject education and reading experience,face challenges such as unclear leveling logic,insufficient functional support,and weak user engagement.This paper introduces the 4V marketing theory and constructs an analytical framework from four dimensions:differentiation,functionality,added value,and resonance.Two representative products,“Climbing Mathematics”and“Spark Mathematics,”are selected for a typical case comparison to identify their strengths and weaknesses in content design,service systems,and brand operation,and to extract transferable strategic elements.The study finds that the user-value-oriented strategy based on the 4V model can effectively address the core issues in the market promotion and user relationship building of leveled mathematics readers,providing practical paths and theoretical support for educational publishing institutions to achieve product innovation and brand upgrading in this niche field.展开更多
文摘Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.
文摘Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.
文摘Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.
文摘Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad felds of sciences and technology,scientists and engineers interested in mathematics.
文摘主题语境:个人成长与教育,篇幅:357词,建议用时:7分钟,In a remarkable academic feat,10-year-old Alisa Perales from San Bernardino is set to receive two associate degrees,becoming the youngest graduate in her schools history.According to California Community Colleges,she achieved these degrees in multiple sciences and mathematics with a near-perfect GPA.
文摘Drawing upon a wealth of primary documents and research materials,this paper presents a systematic and comprehensive examination of the introduction and transmission of calculus in China and Japan from the mid-nineteenth century to the early twentieth century.It also brings to light newly identified historical documents.Building on this foundation,the paper offers a comparative analysis of the transmission and development of calculus and other forms of Western mathematical knowledge in the two countries and proposes new perspectives on why modern mathematics advanced rapidly in Japan but developed more slowly in China.
文摘Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.
文摘In 1955,a young woman named Annie Easley heard about jobs at a space center in Ohio.The space centre was looking for“human computers”.This was before most people used computer machines.The space centre wanted people with strong maths skills.Annie was only twenty-two,but she had always been good at maths.So she got the job.In time,the space centre Annie worked at became a part of NASA,which sends people into space.
文摘Founded in 2008 and appears bimonthly,Studies in Logic,the first journal in China dedicated to logic and related disciplines,publishes peer reviewed research articles in English and Chinese.The journal is jointly sponsored by the Chinese Association of Logic and Sun Yat-sen University,and published by the Institute of Logic and Cognition,Sun Yat-sen University.The editorial board consists of a group of outstanding scholars from both China and abroad in philosophy,computer science,mathematics,linguistics and other related areas.
文摘Founded in 2008 and appears bimonthly,Studies in Logic,the first journal in China dedicated to logic and related disciplines,publishes peer reviewed research articles in English and Chinese.The journal is jointly sponsored by the Chinese A ssociation of Logic and Sun Yat-sen University,and published by the Institute of Logic and Cognition,Sun Yat-sen University.The editorial board consists of a group of outstanding scholars from both China and abroad in philosophy,computer science,mathematics,linguistics and other related areas.
基金The 2024 Education and Teaching Reform Project,“Exploration and Practice of University Mathematics Teaching Reform Driven by Eye-Tracking Technology”(Project No.:JG2024047)。
文摘As a tool for quantifying individuals’visual attention and information processing,eye-tracking technology is gradually being applied in the reform of higher education.This paper focuses on issues in university mathematics teaching,such as heavy cognitive load,delayed feedback,and insufficient adaptability.Based on theories of cognitive psychology,the study explores application pathways of this technology in cognitive diagnosis,instructional optimization,classroom regulation,personalized support,and teaching assessment.Research shows that eye-tracking data can reveal key cognitive features during the learning process,enhance the visualization of instructional feedback,and improve the scientific basis of decision-making.This provides both theoretical support and practical reference for data-driven and precise transformation in university mathematics education.
文摘Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.
文摘Under the background of information technology in education,there is insufficient integration of technological knowledge,pedagogical knowledge,and subject content knowledge in the teaching of propositions in high school mathematics.Teachers mostly equate information technology with multimedia presentations,and students often memorize formulas mechanically,which leads to difficulties in the application of complex propositions.In this study,we take“the cosine formula of the difference between two angles”as an example.Based on the TPACK framework,we use contextual teaching and geometric drawing board demonstration to integrate subject content,pedagogical knowledge,and technological knowledge in teaching design and practice.It is found that by dynamically displaying the derivation process of the formula and guiding students to explore independently,it can help them understand the logic of the formula and improve their application ability.This study provides a paradigm for teaching propositions in high school mathematics and suggests that the TPACK framework can facilitate knowledge integration and cultivate students’mathematical literacy such as problem posing and creative inquiry,which is of great significance for teaching practice.
文摘In the context of the“Two New”initiatives,high school mathematics instruction still grapples with three interlocking problems:knowledge fragmentation,limited cultivation of higher-order thinking,and weak alignment among teaching,learning,and assessment.To counter these challenges,we propose an Inquiry-Construction Double-Helix model that uses a domain-specific knowledge graph as its cognitive spine.The model interweaves two mutually reinforcing strands-student-driven inquiry and systematic knowledge construction-into a double-helix trajectory analogous to DNA replication.The Inquiry Strand is launched by authentic,situation-based tasks that shepherd students through the complete cycle:question→hypothesis→verification→reflection.The Construction Strand simultaneously externalizes,restructures,and internalizes core disciplinary concepts via visual,hierarchical knowledge graphs.Within the flow of a lesson,the two strands alternately dominate and scaffold each other,securing the co-development of conceptual understanding,procedural fluency,and mathematical literacy.Empirical evidence demonstrates that this model significantly enhances students’systematic knowledge integration,problem-solving transfer ability,and core mathematical competencies,offering a replicable and operable teaching paradigm and practical pathway for deepening high school mathematics classroom reform.
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.”
基金Advanced Mathematics A1 First-Class Course of Tarim University(TDYLKC202428)Educational Reform Project of Xinjiang Production and Construction Corps(BTBKXM-2024-Y41)。
文摘To meet the demands of higher education reform and innovative talent cultivation,the teaching team of Tarim University,with ability cultivation as the core,has established a new“331”university mathematics teaching system.Through the multi-dimensional linkage of master teachers’guidance,course optimization,stratified teaching,practical reinforcement,and competition-driven,it has significantly improved students’mathematical application ability and innovative quality.
文摘Mathematics is a basic course for cultivating advanced technical talents,a core course for students in the basic education stage,mathematical knowledge content is the foundation of professional courses,mathematical thinking ability is one of the abilities for students’sustainable development,mathematical literacy is a basic quality that students should possess,and it carries the function of implementing the fundamental task of fostering virtue and nurturing talent and developing quality-oriented education.It has the characteristics of being fundamental,developmental,applied,and vocational.In today’s era of rapid development of artificial intelligence and big data,mathematics plays a huge role in production and life.This paper briefly expounds and analyzes the current situation of mathematics teaching,explores the significance of information-based teaching for mathematics teaching,and on this basis,proposes relevant strategies for information-based mathematics teaching,including knowledge visualization,the use of information technology to create mathematics teaching scenarios,the realization of efficient mathematics teaching through micro-lessons,and the realization of teaching interaction through network platforms.
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.
文摘In the context of the continuous deepening of the“Double Reduction”policy and the growing demand for quality education,leveled mathematics readers,as an emerging form of publishing that integrates subject education and reading experience,face challenges such as unclear leveling logic,insufficient functional support,and weak user engagement.This paper introduces the 4V marketing theory and constructs an analytical framework from four dimensions:differentiation,functionality,added value,and resonance.Two representative products,“Climbing Mathematics”and“Spark Mathematics,”are selected for a typical case comparison to identify their strengths and weaknesses in content design,service systems,and brand operation,and to extract transferable strategic elements.The study finds that the user-value-oriented strategy based on the 4V model can effectively address the core issues in the market promotion and user relationship building of leveled mathematics readers,providing practical paths and theoretical support for educational publishing institutions to achieve product innovation and brand upgrading in this niche field.
