Measurement Analysis and Evaluation of Twenty-Five Years of Mathematics Education Research in China:Visual Econometric Analysis Based on CiteSpace Knowledge Mapping(1999-2024)

Since the new century,China’s mathematics curriculum reform in basic education has continued to move forward in attempts and explorations,presenting many new changes,trends,movements,and developments.Sorting out,analyzing,and summarizing the achievements,experiences,problems,and challenges in this journey are conducive to providing insights for the reform and development of the Chinese basic education mathematics curriculum in the new era.This paper analyses the research on mathematics education in China(1999-2024)using the visual measurement of CiteSpace knowledge mapping,hoping to provide directions for the future of mathematics education in China.

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 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.

Research and Practice of Integrating Ideological and Political Education Into Liberal Arts Mathematics Teaching

This paper first analyses the reasons for the low effectiveness of ideological and political education in current liberal arts mathematics teaching,then puts forward the contents,methods,and approaches of integrating ideological and political education into liberal arts mathematics teaching,and finally finds out the matters needing attention of integrating ideological and political education into liberal arts mathematics teaching.

The Role of Mathematics in STEAM Education under the“Double Reduction”Policy

This essay delves into the pivotal role of mathematics within the context of STEAM(science,technology,engineering,arts,and mathematics)education under China’s“Double Reduction”policy.Amidst a shifting global education landscape that emphasizes holistic growth,policies such as the“Double Reduction”strategy underscore the significance of well-rounded development alongside academic excellence.By advocating for a balanced approach to education,the policy resonates with the principles of STEAM education,which seeks to cultivate versatile and innovative individuals.Mathematics,acting as a unifying force,connects disparate STEAM disciplines,fostering interdisciplinary collaboration and preparing students to thrive in a rapidly evolving,technology-driven world.This essay provides an in-depth exploration of the multifaceted role of mathematics in STEAM education,drawing on specific cases and scholarly references to highlight its contributions to creativity,critical thinking,and holistic development.

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 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.

Summary of the Present Situation of Inheritance of Qiang Dance in Pre-School Education

The Qiang Nationality has a long history and forms a dance form rich in lively rhythm, beats and heroic dance postures in the long process of its development. As a member of the Chinese traditional dance culture, and affected by Qiang Nationality's no written language, the Qiang dance can only be inherited by means of oral or mental instruction. Therefore, its inheritance has already been in crisis with the Qiang people's gradually going out of the national and geographical restrictions. At this time, teaching Qiang dance in the pre-school education can achieve the purpose of cultivating the traditional dance feelings of Qiang Nationality from the early childhood, thus making the children become inheritor and disseminator of Qiang culture. At the present stage, many scholars in our country have explored the inheritance of Qiang dance in pre-school education, and have reached certain research results. After clarifying the internal and external influencing factors of the Qiang dance and its inheritance, this paper summarizes the existing research results mainly from the two aspects including the problems of Qiang dance inheritance existing in the pre-school education and its application to the inheritance strategy.

Exploring the Educational Value of Mathematical Beauty and Effective Ways of Discovering Mathematical Beauty

The precision of mathematical reasoning,the abstractness of mathematical language,the profundity of mathematical thought and method,as well as the excessive formalization of mathematics teaching have formed an impassable gap,hindering students in approaching mathematics.This has concealed the beauty of mathematics and the light of mathematical culture.However,if students are able to cross this gap,they would find that mathematics is a vast world full of vitality,imagination,wisdom,poetry,and beauty.The pursuit of mathematical beauty is one of the motivations for scientists to research this field.Experiencing mathematical beauty is of great significance to students'learning and growth.In teaching,the value of mathematical beauty is explored,such as stimulating emotions,opening up to the truth,and cultivating goodness.Several effective ways are suggested in this article to guide students to discover the mathematical beauty in life while finding it in problem-solving methods and exploring it in knowledge systems.

高等数学课程融入软件REDUCE的教学实践研究

高等数学是高校一门抽象性强、逻辑性严密、符号计算多的公共基础课。软件REDUCE融入高等数学教育,是引领高校符号育人实效性的实践路径,价值导向是用REDUCE的直观性、简捷性、高效性,以激发符号美学和怡情的活力。实现价值塑造、知识传递和能力培养的三全育人目标。展望高等数学融入REDUCE能为国内高校教师吸收、借鉴国外优秀教学理念和教学成果,为高等数学教育提高教学质量、提升人才培养水平做出贡献。

The Early Stage of the Professionalization and Institutionalization of Mathematics in Late Nineteenth-Century China

In the late nineteenth century,stimulated by the demand for modern military technology,mathematics research and education in China developed rapidly,resulting in the emergence of the first generation of professional mathematicians.This marks the starting point for the professionalization of mathematics in China,a process which this paper sets out to analyze.The author first provides a brief survey of the status of Chinese mathematicians prior to 1860.Then,the paper analyzes the social and political context of mathematics,focusing on the improvement of the civil service examination system.Finally,the paper studies the development of mathematics education in the late nineteenth century,leading to the conclusion that mathematics and Chinese mathematicians were professionalized in three major ways:(1)some mathematicians could earn a stable livelihood from their mathematical competence;(2)the social position of mathematicians improved;and(3)the social status of the specialty of mathematics was enhanced.

PANSYSTEMS PHILOSOPHY,PANSYSTEMS MATHEMATICS(PPPM)AND APPLICATIONS TO APTMS:AFFAIROLOGY,PHYSICS,TECHNOLOGY,MEDICIEN AND STRATEGICS(Ⅱ)

A new type of philosophy and mathematics from the pansystems view is introduced here, including the 7 philosophy theories (7PT) and related mathematizing researches. Many second/third philosophies are developed within pansystems framework and related applications to APT MS.

Information and communication technology in science learning as a tool for “scientific thinking” in engineering education

New methodologies in science (also mathemat- ics) learning process and scientific thinking in the classroom activity of engineer students with ICT (information and communication technology, including also graphic calculator) are presented: visual modelling with ICT, action research with graphic calculator, insight in classroom, com- munications and reflection of integrative ac- tions. How can we show our students the beauty of science (and mathematics) with ICT and the way scientists think and try to find the truth? Is it possible to create the motivation in science learning for students using ICT or graphic cal- culator? How can we organize the engineer training on such professional activity in class- room? In this paper we try to answer the ques- tions using methodology of visual modelling and technology of resource lessons in high en- gineering school.

Teaching Reform of Mathematics Foundations of Information Security with Algorithm as the Core

In view of the problems existing in the teaching of Mathematics Foundations of Information Security,such as emphasizing theory but neglecting practice,combined with the concept of engineering education certification and emerging engineering education teaching reform,this paper combs the knowledge points and learning context of Mathematics Foundations of Information Security,puts forward a new teaching mode of Mathematics Foundations of Information Security with algorithm as the core,and gives the teaching content,organization form and assessment method.Thus,it improves the students’learning interest and practical ability,and improves the achievement of graduation requirements.

Continuity of Natural Science Education in the System of“School-University”

At the present time,new state compulsory standards for school education,standard curricula,and curricula have been developed.The programs of higher and postgraduate education do not take into account changes in educational curricula of secondary education.The future specialists of pedagogical universities are teachers of the school.Therefore,graduates of universities on pedagogical specialties,including scientific direction,should be profoundly aware of the content of subjects studied in secondary education.It is very important to understand the need to ensure the continuity of educational curricula of higher pedagogical and general secondary education in conditions of updating the content of education.The relevance of the research topic is due to the lack of continuity in the educational programs of higher pedagogical and general secondary education in conditions of updating the content of education;discrepancy of professional competences of young pedagogical staff,graduates of higher educational institutions,to the conditions of the updated content of school education;the lack of fundamental and applied research to date,considering the theoretical and methodological foundations for ensuring the continuity of natural science education in the“school-university”system in the context of updating the content of education;the need for the research in the context of the implementation of the State Program for the Development of Education of the Republic of Kazakhstan for 2016-2019,which indicates an increase in the prestige of the profession of teachers and an increase in their quality.These theoretical and methodological bases for ensuring the continuity of educational programs of higher pedagogical and secondary education in conditions of updating the content of education will make it possible to introduce changes in the educational curricula of higher and postgraduate education for the training of pedagogical personnel.

Research on the Ideological and Political Construction of Mathematics Foundations of Information Security

Mathematics foundations of information security is a core course in the subject of information security.In view of the current national ideological and political conference in universities,finding a way to integrate this course with ideological and political education attracts a lot of attention from the education community.This paper makes an assay of the significance of the combination of mathematics foundations of information security course and ideological and political education,and introduces the teaching practice of mathematics foundations of information security course combined with ideological and political education.Through the combination of ideological and political education and curriculum content,cultivating all-round development of talents who study information security.

Language Education for Preschool Children Based on Bandura's Self-efficacy Theory

Self-efficacy was proposed by American psychologist Bandura in 1977.This paper explores the relationship between self-efficacy theory and children's language development,and proposes strategies to improve children’s self-efficacy in an all-round way,such as correcting adults’attitudes towards children’s language learning,paying attention to children’s individual language learning experience,playing a role of peer model demonstration,setting up the moderate difficulty of language learning task,and exerting children's self-efficacy in language learning in different types of language activities.