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.

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.

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 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.

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.

Robotics and Mathematics in Citizenship Formation： Associating Negatives Numbers and Education in Traffic

This article reports the experience of the robotics class taught by a student＇s degree in mathematics from the Federal University of Uberlandia, as a requirement for co mp letion of the discip line sup ervised training. The M ineiro Baptist College was chosen in the city of Uberlandia-MG to carry out this work because it is a school that entered the discipline of robotics into their curriculum. The class was held with the students of the seventh grade of elementary school second, linking the areas of mathematics, robotics and traffic education, prioritizing the respect of the contents worked in math classes and civic education of individuals in a dynamic and creative way.

Research of mathematic culture and quality of mathematics education

In the basic concepts of mathematic culture, mathematics was given a broad meaning. Mathematics is not only a scientific language, a system of knowledge, but also a way of thinking, a kind of art has aesthetic features. On this basis, the meaning of mathematical quality should have a new exposition, the essence of mathematical quality is integration of mathematic cultural values, knowledge, abilities, psychological, while the key to the quality of mathematics education is to fully embody the essence of mathematics culture, let the concepts of mathematic cultm＇e integrated to the whole process of mathematics education.

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.

Neural Networks and the Study of Time Series： An Application in Engineering Education

Time series are an important object of study in sciences, engineering and business, especially in cases where it is expected to know, predict and optimize behaviors. In this context, we intend to show the feasibility of using artificial neural networks in the study of several time series in an engineering course, especially those that have no overt behavior or are not able to be modeled mathematically in a simple way and have direct application in the education of future engineers.

The Meaning of Function in the Mathematics Textbooks

This paper’s focus is the examination of how do mathematics textbooks for lower secondary school in Kosovo represent the meaning of concept of function.Textbooks and teachers usually introduce function via a situation with the related quantities already identified.What is required of the students is to learn how to set up and represent the relationships in tables,graphs,and equation and analyze the properties.In the real world,when function is used as a model,the first thing that needs to be done is to identify the varying quantities.So,it is important to let students identify the quantities and let them determine which of these quantities may be related.This way they get a sense of what function really is and what it is for.The function is not the graph,not the table of values,and not the equation.The conclusion of the study is that analyzed textbooks do not represent a good foundation for building a concept of function and a few attentions paid to variability issues.

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.