Microsoft Mathematics软件辅助高等数学教学的探讨

文章阐述了计算机辅助教学的重要意义和作用,并以高等数学课程为例分析了如何利用Microsoft Mathematics软件提供的绘图和解题功能辅助教师教学,同时帮助学生更好地学习高等数学课程。

Microsoft Mathematics软件在高等数学辅助教学中的案例探究

计算机辅助教学是利用计算机作为主要教学载体进行的教学活动。通过对Microsoft Mathematics软件简介、简单计算、图像绘制等方面的应用及其在高等数学中求极限、求导数、求积分等方面具体案例的探究,探究了Microsoft Mathematics在高等数学辅助教学中的应用,以帮助学生更好地学习高等数学课程,激发学生的学习兴趣。

The Past and Future of Aesthetics in Mathematics

This paper explores the connotations of mathematical aesthetics and its connections with art,facilitated by collaboration with Ester,an individual with an artistic professional background.It begins by tracing the historical evolution of aesthetics from the classical pursuit of authenticity to the modern shift toward self-expression in art.The discussion then highlights the similarities in the pursuit of truth between mathematics and art,despite their methodological differences.Through an analysis of aesthetic elements in mathematics,such as lines and function graphs,the article illustrates that the beauty of mathematics is not only manifested in cognitive processes but can also be intuitively expressed through visual arts.The paper further examines the influence of mathematics on the development of art,particularly how Leonardo da Vinci applied mathematical principles to his artworks.Additionally,the article addresses art students’perceptions of mathematics,proposes the customization of math courses for art students,and discusses future trends in the integration of mathematics and art,emphasizing the significance of art therapy and the altruistic direction of art.Lastly,the authors use a poster to visually convey the idea that the beauty of mathematics can be experienced through the senses.

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.

Enhancing Learners’Performance in Grade 7 Mathematics Through 50-30-20 Exercise

Assessment exercises constitute a crucial component of the teaching and learning process,serving the purpose of gauging the degree to which learning objectives have been accomplished.This study aims to assess the mathematics performance of Grade 7 learners using the 50-30-20 exercise.Specifically,this study seeks to determine the learners’pre-test and post-test mean scores,identify significant differences between the pre-test and post-test results,evaluate learners’exercises,and propose enhanced exercises.The research employs a quasi-experimental design,with 40 Grade 7 learners in the school year 2023-2024 as participants,selected through purposive non-random sampling.Statistical data analysis involves the use of mean,standard deviation,paired t-test,and Cohen’s D effect size.Ethical considerations were paramount,as evidenced by a letter of authorization from the school head outlining the strict adherence to voluntary participation,informed parental consent,anonymity,confidentiality,risk mitigation,results-sharing protocols,and the commitment to keeping research data confidential.The data yielded a remarkable outcome:the experimental group exhibited improvement in both the pre-test and post-test.This result substantiates the initial objective of the study,showcasing a noteworthy and favorable performance among the participants.Consequently,it suggests that a majority of the participants strongly agree that the 50-30-20 exercises contribute to enhancing their understanding and problem-solving skills,as well as their ability to grasp mathematical concepts and improve their overall performance in mathematics.Therefore,the 50-30-20 exercises not only facilitated students in understanding mathematics lessons but were also aligned with the Department of Education’s development plan.

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.

A Study on the Application of Task-Driven Teaching Method in High School Mathematics Teaching: Taking “The Determination of Vertical Line and Plane” as an Example

The“Ordinary High School Mathematics Curriculum Standards(2017 Edition,2020 Revision)”clearly stated in“Teaching Suggestions”that“teaching activities based on the core literacy of mathematics should grasp the essence of mathematics,create appropriate teaching situations,put forward appropriate mathematical questions,stimulate students to think and communicate,and form and develop the core literacy of mathematics.”The task-driven teaching model is a new type of teaching method that takes tasks as the main line,teachers as the guide,and students as the main body,which can enable students to engage deeply in classroom discussions and think actively.Based on the characteristics and principles of the task-driven teaching method,this paper designs a high school mathematics classroom teaching based on the task-driven teaching method,hoping to provide a reference for the majority of front-line teachers.

Measurement Analysis and Evaluation of Twenty- Five Years of Chinese Mathematics Textbooks: Visual Analysis Based on CiteSpace Knowledge Graph (1999-2024)

At present,textbooks based on core literacy have become the inevitable demands of China’s curriculum reform,and the literacy of textbook goal construction is the key to the implementation of core literacy requirements,which is a huge challenge for textbook compilers.In this paper,we use the visual metrology of the CiteSpace knowledge graph to analyze Chinese mathematics textbooks(1999-2024),hoping to guide the future direction of Chinese mathematics textbook research.

Curriculum Reform of Higher Vocational Mathematics Under the Background of Digital Transformation

Under the background of digital transformation,the reform of the higher vocational mathematics curriculum faces urgent challenges and opportunities.This article explores the impact of digital transformation on the reform of higher vocational mathematics curriculum and emphasizes the importance of improving teaching methods centered on learners.The article proposes specific reform methods and discusses the practical application of digital technology in the reform process.By combining digital technology with specific reform methods,further conducting innovative practice research,and continuously exploring the path of reform,we can effectively improve the quality of higher vocational mathematics classroom teaching and provide strong support for the cultivation of comprehensive qualities and employment abilities.

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.

Enhancement of Innovation Competence of College Students Majoring in Mathematics Education through Curriculum Optimization

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.

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.

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.

Effects of QD2R Numeracy Enhancement Strategy on the Mathematics Performance of Grade 10 Students

Learning mathematics requires an effective and strategic teaching approach.This study aimed to assess the mathematics performance of the learners with the implementation of the numeracy enhancement strategy QD2R(Questions,Drills,Repetition,and Recitation)and to propose a strategy implementation plan to elevate their performances.This study employed the use of a quasi-experimental research design,purposive sampling with 70 Grade 10 students of Lian National High School who were distributed equally to control and treatment groups.The pre-test and post-test results were statistically analyzed using independent and paired sample t-tests,and a survey questionnaire was examined by getting the mean and standard deviation.The results indicated that better performance was achieved by the students from the treatment group compared to the students from the control group,as revealed by the Mean Percentage Score(MPS)results,mean scores,and P values of their pre-test and post-test scores.The learners’perception of the implementation of this strategy was to a great extent,wherein it was perceived to be more helpful in concepts related to understanding the lesson compared to concepts related to developing their attitude and skills.Moreover,the proposed implementation plan of numeracy enhancement strategy QD2R had three expected outcomes:elevated understanding and performance in mathematics lessons;modified strategy to focus on the development of attitude and skills towards mathematics;and refined and well-implemented QD2R strategy in teaching mathematics.Relative to these expected outcomes,appropriate measures,timeframe,and resources of each were comprehensively formulated.

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.

利用Mathematica软件研究三电荷系统的电势与电场强度分布

利用Mathematica软件讨论了三电荷系统的电势与电场强度分布情况.计算出通常情况下三电荷系统的电势和电场强度,并用Mathematica软件做出相应的图形.事实证明,利用该软件辅助教学有利于激发学生的学习积极性,加深学生对相关概念及其计算的理解,能使学生对所学内容有更进一步的理解.同时改善教师课堂教学效率,显著提高教学效果.

利用Mathematica软件辅助核能学习进阶

“核能来自何方”一节出现了许多抽象的概念,通过Mathematica软件绘制出核能、结合能、平均结合能、核子平均质量随原子序数变化图,可以辅助学生理解这些知识点.根据学习进阶理论,针对本节内容设计了“理解→应用→延展”的进阶路线,不仅让学生学会了基本概念,而且掌握了利用4个物理量分析解决实际问题的方法,并得出了相对原子质量与摩尔质量数值相等的结论.

Mathematica软件在大学物理实验中的应用

Mathematica软件在一些需要完成数据处理和仿真模拟等任务的理工科专业课程中被广泛应用。在大学一年级的大学物理实验教学中引导学生使用Mathematica软件进行简单的数据处理和仿真模拟,不仅有利于加深学生对物理知识的理解,还可以显著提升他们的计算机应用能力,从而为后续专业课的学习培养编程思维和能力。本文以四个大学物理实验为例,详细介绍了Mathematica软件在大学物理实验中的画图、数据拟合、数值计算和仿真模拟等功能。

Mathematic软件在单螺杆容积计算中的应用分析研究

通过介绍空气压缩机的大致概况,同时对单螺杆主机主要尺寸参数设计过程特性作了详细介绍。针对根据目前单螺杆容积计算的复杂性,没有完整的相关计算程序,通过借助计算机软件Mathematic强大的计算功能,从而完成目前单螺杆容积计算的难题。根据单螺杆设计相关资料汇总,并集合目前计算机相关软件快速计算相关结果,绘制相关简图。

网络协议软件漏洞挖掘技术综述

网络协议软件部署和应用非常广泛,在网络空间提供了诸如通信、传输、控制、管理等多样化的功能.近年来,其安全性逐渐受到学术界和工业界的重视,及时发现和修补网络协议软件漏洞,成为一项重要的课题.网络协议软件由于部署形态多样、协议交互过程复杂、相同协议规范的多个协议实现存在功能差异等特点,使得其漏洞挖掘技术面临诸多挑战.首先对网络协议软件漏洞挖掘技术进行分类,对已有关键技术的内涵进行界定.其次,进一步综述网络协议软件漏洞挖掘4个方面的技术进展,包括网络协议描述方法、挖掘对象适配技术、模糊测试技术和基于程序分析的漏洞挖掘方法,通过对比分析归纳不同方法的技术优势及评价维度.最后,总结网络协议软件漏洞挖掘的技术现状和挑战,并提炼5个潜在研究方向.