Discussion on the Skillful Use of Mind Maps in High School Mathematics Teaching

With the continuous development of China’s education,the social requirements for high school teaching are constantly improving.The teaching of high school mathematics is a key point in the high school curriculum,but also a major difficulty.Due to the strong logic and abstraction of the content of high school mathematics,some students find it very difficult to learn.In order to solve this problem,high school mathematics teachers can make use of mind maps to teach,so that students can exercise their thinking ability,and realize the improvement of comprehensive ability in mathematics.This paper analyzes the shortcomings of high school mathematics classrooms under the background of new curriculum reform and discusses the significance and methods of applying mind maps in high school mathematics classrooms,so as to put forward reasonable suggestions for realizing the efficient teaching of high school mathematics.

The Integration Strategy of Class Teacher Management and Mathematics Teaching

The professional and moral education of high school mathematics teachers will make classroom management work better,but their work pressure will also lead to classroom management problems.To do a good job in high school class teacher management and organically integrate it with mathematics teaching,we need to start from two aspects:mathematics teaching class teachers and class teacher work teaching,and penetrate mathematical thinking into daily classroom management,moral education,and classroom culture construction.Based on the attributes of the subject,we guide high school students to reflect after class to stimulate their self-management initiative through the cultivation of qualified class representatives.In addition,it is necessary to skillfully resolve classroom generative problems,change the roles of teachers and students,and integrate classroom management with mathematics teaching.

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.

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.

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.

Integration of Ideological and Political Education into the Probability Theory and Mathematical Statistics Course:A Teaching Design Based on Estimation and Hypothesis Testing

With the rapid development of higher education in China,colleges and universities are facing new challenges and impacts in talent training.Probability Theory and Mathematical Statistics is one of the important courses in higher education for science and engineering majors and economics and management majors.Its critical role in cultivating students’thinking skills and improving their problem-solving skills is self-evident.Course ideological and political education construction is an important link in college talent training work.Combining ideological and political education with course teaching can help students establish correct value concepts and play a certain role in improving their comprehensive ability and quality.At present,the construction of ideological and political education in the Probability Theory and Mathematical Statistics course still faces some problems,mainly manifested in the lack of attention paid by teachers to course ideological and political education,insufficient exploitation of ideological and political elements,and the simplification of ideological and political education implementation methods.In order to comprehensively deepen the construction of course ideological and political education in line with the actual needs of Probability Theory and Mathematical Statistics course teaching,we should strengthen the construction of teacher teams,improve teachers’ability to carry out course ideological and political education,integrate educational resources,develop educational resources for ideological and political education,and innovate teaching methods to improve the overall effect of ideological and political education integration.

Geographic Information Systems Used as a Practical Way of Teaching Mathematics

This paper presents reflections on proposals to merge Mathematics and Geography when teaching undergraduates from inter- and trans-disciplinary spatial models using mathematical modeling to enable spatial analysis and visualization through GIS—Geographic Information Systems. It brings forward an approach to Geography with new technologies integrating it with Statistics and Computer Science among other subjects. Thus, it describes some practical cases that are examples of geographical problems solved mathematically. The results show that GIS can be an educational tool for teaching both Geography and Mathematics.

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.

Thoughts about the Innovation of Mathematics Teaching Mode in Higher Vocational Colleges from the Viewpoint of “Task List”

With the reform of talent demand mode in China,in today’s society,the need for talents of enterprises are more inclined to application-type vocational and technical talents,this has created enormous opportunities for the growing of higher vocational colleges which are the incubation base for applied talents,at the same time,it also exposes the practical problems of the backwardness of the current mathematics teaching mode in higher vocational colleges,thus brings unfavorable influence on the implementation of the talent cultivation program in higher vocational colleges,“Task list”is one of the teaching requirements put forward by China’s educational reform in the new age,and the important direction for higher vocational colleges to reform the mathematics teaching mode in the new age.

Research on the Teaching Reform of Medical Higher Mathematics with BOPPPS Teaching Module

Using BOPPPS teaching module combined with the present situation of medical higher mathematics teaching in Guangxi University of Chinese Medicine, this paper introduces the application of this teaching method in medical higher mathematics teaching, and explores the thinking of teaching reform of medical higher mathematics in Guangxi University of Chinese Medicine, so as to improve classroom teaching efficiency.

Teaching Reform and Practice on Course Construction of Discrete Mathematics

Discrete mathematics studies the respective structures,laws and interrelationships of different discrete quantities,which has a wide range of applications in computer science and software engineering.It has the characteristics of research,practice and innovation.The teaching goals of the course of discrete mathematics include not only the understanding and mastery of knowledge,but also the study of methodology.However,current teaching mechanism has limitations in outdated course contents,rare real project examples and nonscientific scoring modes.This paper attempts to think about the course construction of discrete mathematics to improve the teaching effects and cultivate students’practical ability.

Effectiveness of Integrating Innovative Quality Cultivation into Higher Vocational Mathematics Teaching

Mathematics teaching is the foundation and focus of higher vocational education.However,there are still a series of problems in the mathematics education of higher vocational colleges in China,such as students’enthusiasm for mathematics learning remain to be improved,and teachers still practice traditional teaching methods[1].In order to effectively improve this situation,it is necessary to reform the teaching of mathematics courses in higher vocational colleges,integrate the content of innovation quality cultivation,and implement scientific and reasonable teaching methods to achieve the effectiveness of mathematics teaching in higher vocational colleges.This paper mainly studies the effectiveness of cultivating innovative quality in the higher vocational mathematics teaching,with the hope to improve the overall quality of mathematics teaching.

Research for Using Information Technology in the Design of Effective Mathematics Teaching Methods

The development of modem information technology has brought unprecedented impact on mathematics teaching, which affects the content of the curriculum, and teaching and its manifestations, affecting the role of teachers in the teaching process and its relationship with the students, teaching methods and impacting policies the selection and use, affecting organizational form of teaching. Mathematics curriculum standards clearly stated： the design and implementation of the mathematics curriculum should pay attention to the use of modern information technology, particularly to fully consider the impact on mathematics learning content and methods, and to provide students with a more vigorous development of rich learning resources, the modem information technology as a powerful tool for students to learn math and problem-solving, working to change the way students learn, students willing and more energy into reality, exploratory math activities.

Exploration and Practice of Improving Higher Mathematics Teaching Quality of Teaching at Different Levels

Teaching content of Higher Mathematics is systematic and rigor with a high degree of abstraction. Because different students are on the different basis and different disciplines have various requirements, mathematics is generally difficult for students. In order to improve the quality of teaching mathematics, we should make use of individualized teaching and teaching by different levels in order to achieve the best teaching results.

Application of Case Teaching in Primary Mathematics Pedagogy Class in Normal University

Objective： Case Teaching Method used in Primary Mathematics Pedagogy course can highlight the characteristics of pedagogy course. This method can transform learning process from the passive one in the conventional classroom to an active one, so that classroom atmosphere will become active, inspiring students＇ interest in learning, and students would have the initiative to study. Meanwhile the Case Teaching Method also put forward higher requirements for teachers. This author does some analyses of the meaning of the case teaching method implementation methods and problems based on years of teaching experience. Detailed analyses can be shown as follow

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.

On the relationship between college English teachers＇ beliefs and their teaching behaviors

Based on the questionnaires and interviews on 19 college English teachers of a university in Beijing, the paper discusses college English teachers＇ beliefs. Through the analysis of research results, the paper focuses on the following questions： （1） What are the core beliefs of college English teachers？ （2） What influence will the teachers＇ beliefs exert on teaching behaviors？ （3） Will the teachers＇ beliefs change？ If the answer is YES, how will they change and what is the source of the changes？ The exploratory results and findings can help college English teachers realize the importance of teachers＇ beliefs, through which can help them improve their teaching practices and foster their professional development.