The innovation competence of K-12 education teachers undoubtedly plays a crucial role in fostering the innovation abilities of their students.K-12 mathematics education equips students with the critical thinking and p...The innovation competence of K-12 education teachers undoubtedly plays a crucial role in fostering the innovation abilities of their students.K-12 mathematics education equips students with the critical thinking and problem-solving skills essential for their future studies in colleges and universities,helping them grasp complex techniques to address challenges in everyday life and their careers.Therefore,it is of great significance to study strategies for improving the innovation competence of college students majoring in Mathematics Education,as they will likely become K-12 education mathematics teachers directly after graduating from colleges or universities.In this paper,we study strategies for enhancing the innovation competence of college students majoring in Mathematics Education through curriculum optimization.We analyze and explain in detail the importance of innovation competence for college students majoring in Mathematics Education and the difficulties encountered in enhancing college students’innovation competence.With the help of the analysis of the importance and challenges of enhancing college students’innovation competence,we propose several strategies to improve the innovation competence of college students majoring in Mathematics Education based on curriculum optimization.The findings presented in this paper can be applied to develop strategies for college students majoring in Physics and Chemistry Education.展开更多
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,anal...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.展开更多
Innovation is the first driving force to lead the development. The development of the country cannot be separated from innovation. High school is a key period for students to learn, and the cultivation of their creati...Innovation is the first driving force to lead the development. The development of the country cannot be separated from innovation. High school is a key period for students to learn, and the cultivation of their creative thinking can benefit their whole lives. High school mathematics presents the characteristics of theorization, abstraction and strong logicality, which makes it difficult for students to learn. However, the traditional teaching concept pays attention to the inculcation of knowledge, which is not conducive to the students to truly form good mathematics learning habits. To do a good job in senior high school mathematics education, we should start from the perspective of cultivating students creative thinking ability, and comprehensively improve students ability to solve mathematical problems by creating diversified teaching situations, changing teaching concepts, strengthening classroom interaction, cultivating students associative creativity and other methods.展开更多
Purpose:The high incidenee of mathematics anxiety and disengagement in mathematics points to poor student well-being in many mathematics classrooms.Poor well-being may arise in part from poor alignment between student...Purpose:The high incidenee of mathematics anxiety and disengagement in mathematics points to poor student well-being in many mathematics classrooms.Poor well-being may arise in part from poor alignment between student values and classroom experiences.Yet,what student well-being is and how to support it within specific subjects is poorly understood,and intersection between students'values and well-being in mathematics education is unclear.This article proposes a seven-dimensional framework of student well-being in mathematics education and examines alignment between well-being and values.Design/Approach/Methods:One hun dred n inetee n eighth-grade Australia n students responded to three opervended questions investigating their conceptions of mathematical wellbeing(MWB)and what they valued most when learning or doing mathematics.Responses were analyzed using a combined deductive/inductive thematic analysis.Findings:Findings supported the MWB framework and con firmed an alig nment betwee n stude nts'values and well-being in mathematics education.Originality/Value:Our study provides a framework for conceptualizing student well-being in mathematics education,points to areas that aim to improve student well-being,and highlights congruences and discordances between well-being and values.展开更多
Purpose:The purpose of this study is to explore the mathematical values,mathematics educational values,and educational values invoIved in mathematical modeling tasks based on different mathematical modeling perspectiv...Purpose:The purpose of this study is to explore the mathematical values,mathematics educational values,and educational values invoIved in mathematical modeling tasks based on different mathematical modeling perspectives.Design/Approach/Methods:In this con text,the prese nt study is a qualitative research based on document analysis.The data were analyzed usingsemantic content analysis,and the selected modeling tasks based on different mathematical modeling perspectives were examined at the sentence level.Findings:Control,mystery,and openness mathematical values appeared in all mathematical modeling tasks,and rationalism and objectivism mathematical values appeared in realistic/applied and socio-critical modeli ng perspectives.Product,exploration,creating,releva nee,pleasure,and application mathematics educational values also emerged in all modeling tasks.Educational values of social justice,equity,social welfare,humanity,and altruism were more important in the socio critical modeling,while the value of individualism was more emphasized in the model-eliciting approach.Originality/Value:By determining mathematical,mathematics educational,and educational values involved in mathematical modeling tasks based on different mathematical modeling perspectives,an effective and more value-balaneed mathematical modeling instruction can be provided.展开更多
Purpose:This article investigates the mathematics educational values of Pasifika students in New Zealand.It draws on student voice to examine Pasifika students'understanding of mathematics educati onal values and ...Purpose:This article investigates the mathematics educational values of Pasifika students in New Zealand.It draws on student voice to examine Pasifika students'understanding of mathematics educati onal values and their reaso ns for rati ng values at differe nt levels of importance.Design/Approach/Methods:The study involved Years 7 and 8 Pasifika students from two low-socioeconomic middle schools.Students selected their most and least important mathematics educatio nal value stateme nts on a survey.Semi-structured in dividual in terviews were used to investigate their reasons for selecting the values.Findings:The mathematics educational values ranked highly by the greatest percentage of students were practice,family,respect,and persistence.In contrast,the values of accuracy and utility were rated as least importa nt.Stude nt in terview data revealed comm on alities in accou nting for the importance of different values.The findings indicate an intersection between the mathematics educational values and cultural values of Pasifika people.Originality/Value:There have been few studies that have explored the mathematics educational values of Pasifika stude nts.The curre nt study provides in sight into why specific values are importa nt to Pasifika students and how these may in flue nee classroom in teractions.The use of stude nt interview data wide ns the existi ng literature focused on values in mathematics education.展开更多
Highlights•This commentary article is intended to provide a broad yet brief look at research and issues about values and valuing in mathematics education from a broad view about related issues.•The articles in the Spe...Highlights•This commentary article is intended to provide a broad yet brief look at research and issues about values and valuing in mathematics education from a broad view about related issues.•The articles in the Special Issue provided new findings,insights,and directions in research on values and valuing in mathematics education.•In the future,more attention should be paid to the issues concerning values as a construct from a social-cultural perspective,and more studies addressing enacted values,using more observational data,and with large scale and long duration are needed.•There is also a need for more exchanges and interdisciplinary collaborations between mathematics educators,other discipline-based educators,and general educators,especially educational sociologists,for the advancement of research in this area.展开更多
This article reviews literatures on mathematics education in China in the last decade.It focuses on papers that were published after 2000,and Chinese Social Science Citation Index(CSSCI).Some influential journals in t...This article reviews literatures on mathematics education in China in the last decade.It focuses on papers that were published after 2000,and Chinese Social Science Citation Index(CSSCI).Some influential journals in the field of mathematics education,such as the Journal of Mathematics Education and the Mathematics Instruction were also reviewed.The author shares in this article with international scholars the most recent research in the field of Chinese mathematics education.Mathematics education in China mainly focuses on the essence of mathematics classroom instruction,student learning of mathematics,mathematics teacher education,and its curriculum reforms.展开更多
Word problems play a crucial role in mathematics education.However,the authenticity of word problems is quite controversial.In terms of the necessity of realistic considerations to be taken into account in the solutio...Word problems play a crucial role in mathematics education.However,the authenticity of word problems is quite controversial.In terms of the necessity of realistic considerations to be taken into account in the solution process,word problems have been classified into two categories:standard word problems(S-items)and problematic word problems(P-items).S-items refer to those problems involving the straightforward application of one or more arithmetical operations with the given numbers,whereas P-items call for the use of real-world knowledge and real-life experience in the problem-solving process.This study aims to explore how Chinese upper elementary school mathematics teachers think of the place and value of P-items in the elementary mathematics curriculum.展开更多
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 ...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.展开更多
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 m...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.展开更多
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 situatio...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.展开更多
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 opport...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.展开更多
Core accomplishment refers to the knowledge, skills and emotions that students master in the learning process. It is of great significance to cultivate students core accomplishment in primary mathematics education. Ho...Core accomplishment refers to the knowledge, skills and emotions that students master in the learning process. It is of great significance to cultivate students core accomplishment in primary mathematics education. However, due to the influence of traditional educational ideas, some elementary schools do not realize the importance of cultivating mathematics core literacy. There are also some teachers who follow the old-fashioned way and limit the scope of application of the cultivation of core accomplishment. In order to enable students to obtain high marks in the mathematics examination, they blindly emphasize the teaching focus, and the students core ability to learn mathematics has not been effectively cultivated. In this case, we must also use scientific training methods to strengthen the cultivation of primary school students core literacy. On this basis, this paper focuses on the ways to strengthen the basic mathematical ability of primary school students.展开更多
Geometric intuition is one of the core concepts introduced by the new mathematical cxirriculum standards.It aims to use intuition and intuitive materials to deepen the understanding of mathematics in mathematical cogn...Geometric intuition is one of the core concepts introduced by the new mathematical cxirriculum standards.It aims to use intuition and intuitive materials to deepen the understanding of mathematics in mathematical cognition activities.It does not only play a role in the learning of"graphics and geometry/but its'irreplaceable role also involves the whole process of mathematics education.Therefore,if teachers can skillfully use geometric intuition in the teaching process,classroom efficiency will be greatly improved.展开更多
基金Innovation and Entrepreneurship Education Reform Research Program of Suqian University(2023cxcy08)Startup Foundation for Newly Recruited Employees and the Xichu Talents Foundation of Suqian University(2022XRC033)+4 种基金Professional Certification Oriented Teaching Reform Research Special Program of Suqian University(2023ZYRZ04)Qing Lan Project of Jiangsu“High Quality Public Course Teaching Reform”Special Program for Colleges and Universities of Jiangsu(2022JDKT106)Higher Education Reform Research Project of Jiangsu(2023JSJG718)Higher Education Scientific Research Planning Project of the Higher Education Association of China(23SX0203)。
文摘The innovation competence of K-12 education teachers undoubtedly plays a crucial role in fostering the innovation abilities of their students.K-12 mathematics education equips students with the critical thinking and problem-solving skills essential for their future studies in colleges and universities,helping them grasp complex techniques to address challenges in everyday life and their careers.Therefore,it is of great significance to study strategies for improving the innovation competence of college students majoring in Mathematics Education,as they will likely become K-12 education mathematics teachers directly after graduating from colleges or universities.In this paper,we study strategies for enhancing the innovation competence of college students majoring in Mathematics Education through curriculum optimization.We analyze and explain in detail the importance of innovation competence for college students majoring in Mathematics Education and the difficulties encountered in enhancing college students’innovation competence.With the help of the analysis of the importance and challenges of enhancing college students’innovation competence,we propose several strategies to improve the innovation competence of college students majoring in Mathematics Education based on curriculum optimization.The findings presented in this paper can be applied to develop strategies for college students majoring in Physics and Chemistry Education.
文摘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.
文摘Innovation is the first driving force to lead the development. The development of the country cannot be separated from innovation. High school is a key period for students to learn, and the cultivation of their creative thinking can benefit their whole lives. High school mathematics presents the characteristics of theorization, abstraction and strong logicality, which makes it difficult for students to learn. However, the traditional teaching concept pays attention to the inculcation of knowledge, which is not conducive to the students to truly form good mathematics learning habits. To do a good job in senior high school mathematics education, we should start from the perspective of cultivating students creative thinking ability, and comprehensively improve students ability to solve mathematical problems by creating diversified teaching situations, changing teaching concepts, strengthening classroom interaction, cultivating students associative creativity and other methods.
文摘Purpose:The high incidenee of mathematics anxiety and disengagement in mathematics points to poor student well-being in many mathematics classrooms.Poor well-being may arise in part from poor alignment between student values and classroom experiences.Yet,what student well-being is and how to support it within specific subjects is poorly understood,and intersection between students'values and well-being in mathematics education is unclear.This article proposes a seven-dimensional framework of student well-being in mathematics education and examines alignment between well-being and values.Design/Approach/Methods:One hun dred n inetee n eighth-grade Australia n students responded to three opervended questions investigating their conceptions of mathematical wellbeing(MWB)and what they valued most when learning or doing mathematics.Responses were analyzed using a combined deductive/inductive thematic analysis.Findings:Findings supported the MWB framework and con firmed an alig nment betwee n stude nts'values and well-being in mathematics education.Originality/Value:Our study provides a framework for conceptualizing student well-being in mathematics education,points to areas that aim to improve student well-being,and highlights congruences and discordances between well-being and values.
文摘Purpose:The purpose of this study is to explore the mathematical values,mathematics educational values,and educational values invoIved in mathematical modeling tasks based on different mathematical modeling perspectives.Design/Approach/Methods:In this con text,the prese nt study is a qualitative research based on document analysis.The data were analyzed usingsemantic content analysis,and the selected modeling tasks based on different mathematical modeling perspectives were examined at the sentence level.Findings:Control,mystery,and openness mathematical values appeared in all mathematical modeling tasks,and rationalism and objectivism mathematical values appeared in realistic/applied and socio-critical modeli ng perspectives.Product,exploration,creating,releva nee,pleasure,and application mathematics educational values also emerged in all modeling tasks.Educational values of social justice,equity,social welfare,humanity,and altruism were more important in the socio critical modeling,while the value of individualism was more emphasized in the model-eliciting approach.Originality/Value:By determining mathematical,mathematics educational,and educational values involved in mathematical modeling tasks based on different mathematical modeling perspectives,an effective and more value-balaneed mathematical modeling instruction can be provided.
文摘Purpose:This article investigates the mathematics educational values of Pasifika students in New Zealand.It draws on student voice to examine Pasifika students'understanding of mathematics educati onal values and their reaso ns for rati ng values at differe nt levels of importance.Design/Approach/Methods:The study involved Years 7 and 8 Pasifika students from two low-socioeconomic middle schools.Students selected their most and least important mathematics educatio nal value stateme nts on a survey.Semi-structured in dividual in terviews were used to investigate their reasons for selecting the values.Findings:The mathematics educational values ranked highly by the greatest percentage of students were practice,family,respect,and persistence.In contrast,the values of accuracy and utility were rated as least importa nt.Stude nt in terview data revealed comm on alities in accou nting for the importance of different values.The findings indicate an intersection between the mathematics educational values and cultural values of Pasifika people.Originality/Value:There have been few studies that have explored the mathematics educational values of Pasifika stude nts.The curre nt study provides in sight into why specific values are importa nt to Pasifika students and how these may in flue nee classroom in teractions.The use of stude nt interview data wide ns the existi ng literature focused on values in mathematics education.
基金supported by a research grant from East China Normal University(Project No.:15500-120215-10197).
文摘Highlights•This commentary article is intended to provide a broad yet brief look at research and issues about values and valuing in mathematics education from a broad view about related issues.•The articles in the Special Issue provided new findings,insights,and directions in research on values and valuing in mathematics education.•In the future,more attention should be paid to the issues concerning values as a construct from a social-cultural perspective,and more studies addressing enacted values,using more observational data,and with large scale and long duration are needed.•There is also a need for more exchanges and interdisciplinary collaborations between mathematics educators,other discipline-based educators,and general educators,especially educational sociologists,for the advancement of research in this area.
文摘This article reviews literatures on mathematics education in China in the last decade.It focuses on papers that were published after 2000,and Chinese Social Science Citation Index(CSSCI).Some influential journals in the field of mathematics education,such as the Journal of Mathematics Education and the Mathematics Instruction were also reviewed.The author shares in this article with international scholars the most recent research in the field of Chinese mathematics education.Mathematics education in China mainly focuses on the essence of mathematics classroom instruction,student learning of mathematics,mathematics teacher education,and its curriculum reforms.
基金This research was supported by Grant GOA 2006/01“Developing adaptive expertise in mathematics education”from the Research Fund of the Katholieke Universiteit Leuven,Belgium.
文摘Word problems play a crucial role in mathematics education.However,the authenticity of word problems is quite controversial.In terms of the necessity of realistic considerations to be taken into account in the solution process,word problems have been classified into two categories:standard word problems(S-items)and problematic word problems(P-items).S-items refer to those problems involving the straightforward application of one or more arithmetical operations with the given numbers,whereas P-items call for the use of real-world knowledge and real-life experience in the problem-solving process.This study aims to explore how Chinese upper elementary school mathematics teachers think of the place and value of P-items in the elementary mathematics curriculum.
基金The Discipline Resource Construction Project of Jiangsu Second Normal University(Project number:JSSNU03202222)。
文摘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.
文摘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.
文摘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.
基金Henan Province 2022 Teacher Education Curriculum Reform Research Project:Research on Improving the Teaching Practice Ability of Mathematics Normal University Students under the OBE Concept(Project number:2022-JSJYZD-009)A Study on the Measurement and Development of Mathematics Core Literacy for Secondary School Students,Doctoral Research Initiation Fee of Henan Normal University(Project number:20230234)Henan Normal University Graduate Quality Course Program,Mathematical Planning I(Project number:YJS2022KC02)。
文摘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.
文摘Core accomplishment refers to the knowledge, skills and emotions that students master in the learning process. It is of great significance to cultivate students core accomplishment in primary mathematics education. However, due to the influence of traditional educational ideas, some elementary schools do not realize the importance of cultivating mathematics core literacy. There are also some teachers who follow the old-fashioned way and limit the scope of application of the cultivation of core accomplishment. In order to enable students to obtain high marks in the mathematics examination, they blindly emphasize the teaching focus, and the students core ability to learn mathematics has not been effectively cultivated. In this case, we must also use scientific training methods to strengthen the cultivation of primary school students core literacy. On this basis, this paper focuses on the ways to strengthen the basic mathematical ability of primary school students.
文摘Geometric intuition is one of the core concepts introduced by the new mathematical cxirriculum standards.It aims to use intuition and intuitive materials to deepen the understanding of mathematics in mathematical cognition activities.It does not only play a role in the learning of"graphics and geometry/but its'irreplaceable role also involves the whole process of mathematics education.Therefore,if teachers can skillfully use geometric intuition in the teaching process,classroom efficiency will be greatly improved.
