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.

Problem-based Learning Combining Seminar Teaching Method for the Practice of Mathematical Modeling Course's Teaching Reform for Computer Discipline

Mathematical modeling course has been one of the fast development courses in China since 1992,which mainly trains students’innovation ability.However,the teaching of mathematical modeling course is quite difficult since it requires students to have a strong mathematical foundation,good ability to design algorithms,and programming skills.Besides,limited class hours and lack of interest in learning are the other reasons.To address these problems,according to the outcome-based education,we adopt the problem-based learning combined with a seminar mode in teaching.We customize cases related to computer and software engineering,start from simple problems in daily life,step by step deepen the difficulty,and finally refer to the professional application in computer and software engineering.Also,we focus on ability training rather than mathematical theory or programming language learning.Initially,we prepare the problem,related mathematic theory,and core code for students.Furtherly,we train them how to find the problem,and how to search the related mathematic theory and software tools by references for modeling and analysis.Moreover,we solve the problem of limited class hours by constructing an online resource learning library.After a semester of practical teaching,it has been shown that the interest and learning effectiveness of students have been increased and our reform plan has achieved good results.

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.

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.

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.

高校数学课程思政要素体系与融入方式——基于“全国高校青年教师教学竞赛”获奖作品分析

构建数学课程思政要素体系是进行课程思政深入研究的需要.从科学精神与伦理、哲学与思想、品德与法治、情怀与信念4个维度,构建了高校数学课程思政要素体系,指出了思政融入的附加式、顺应式、融合式3种方式.以近三届“全国高校青年教师教学竞赛”中的数学课程获奖作品为样本,采用录像分析法进行分析.结果表明,所有选手都融入了课程思政,案例内容主要集中在中国故事、思想方法、品德修养等方面;采用附加式的作品较多,顺应式和融合式的作品较少;顺应式、融合式的教学设计,高契合度的思政内容,由浅入深、丝丝入扣的逻辑结构更容易获得专家的青睐.

大学数学课程思政元素的挖掘与教学实践——以高等数学为例

该文从“弘扬爱国主义精神和民族自信教育”“马克思主义哲学原理和数学思想”“数学建模与培养探索未知,追求真理的科学精神”三个方面挖掘高等数学课程的思政元素,培养学生科学素养的同时引导学生树立正确的人生观、价值观、世界观,以达到全面育人的目的。从教学实践和学生评教效果来看,挖掘的课程思政元素在课堂教学中已经取得一定成效。

新工科教育背景下高校工科生的数学成熟度探究

新工科教育背景下,数学成熟度是工程教育和高校工科生职业成功的关键因素。数学成熟度定义为使学生能够解决复杂问题、批判性思考和有效沟通的数学理解能力和熟练程度。探讨数学成熟度对工科学生的重要性,并提出工科学生数学成熟度的自我提高和培养策略。培养策略包括案例教学、融入数学建模、引入计算机辅助教学、采用问题驱动教学法、跨学科交流。详细讨论了每项策略,并提供了具体实例说明实施办法。旨在为高校工科生学习提供建议;为工程教育领域的教育工作者和研究人员提供参考,并促进开发有效的干预措施,以提高工科专业学生的数学成熟度。

教育数学理念下大学数学“三融”教学模式研究

在教育数学理念指导下,将数学原理、课程思政、数学实验三者有机结合起来,建立高等数学“三融”教学模式“立体-循环”结构。教学过程中,采用PDCA方法,完成“三融”教学模式评价。通过教改达到提高教师的综合教学水平,调动学生学习的主动性、趣味性、实效性,提高学生运用数学思想解决实际问题的能力,培养学生形成正确三观及社会主义核心价值观,为教学改革提供一种新思路。

融合思政元素的“高等数学”课程设计与实践——以曲线拐点教学为例

探讨了如何在“高等数学”教育中将思想政治教育融入课堂教学,并以曲线拐点教学为例进行了实践和应用。“高等数学”课程作为培养学生科学素养和解决实际问题能力的关键课程,须注重学生的综合素质培养。思想政治教育的目的是培养学生的思想道德素质和社会责任感,二者的结合对学生的学习具有积极的影响。通过将曲线拐点教学与思想政治教育相结合,可以提高学生的学习兴趣和动力,培养其创新能力和实践能力,促进学科交叉和综合素养的发展。另外,从课堂引入、教学过程和结尾等方面提出了具体的教学方法和建议,以期帮助教师在“高等数学”教育中有效融入思想政治教育。

加拿大小学数学教育的改革愿景与现实路向

国际视野下对不同国家学科教育与教学的讨论可以为新课改的推行提供经验借鉴和反思.加拿大小学数学课程改革突显融通学习领域与跨学科关联,课程期望关注回归基础和培养积极的数学学习者,重视教师深度理解课程标准,课程设计自主性大的愿景设计.在课堂教学上呈现出灵活设计学习任务和注重思维可视化,重视情境创设和联系生活,倡导学习评价与教学过程相结合,以及注重独立、安全学习环境创设的现实特征.中国新一轮义务教育课程改革下的小学数学课程实施,要发挥数学课程的前瞻性,重视教师对课程标准的深度理解和课程实践,创设开放包容的教学生态,充分发挥学科育人功能.

APOS理论视角下高职高等数学概念教学研究

目前在高职高等数学教学中存在教学方法单一、学生基础薄弱、学习习惯不好等问题,高等数学概念教学是教学的基础,把APOS理论应用到高职高等数学概念教学中,通过引入概念、表述概念、剖析概念、应用概念四个阶段的教学设计,可以培养学生好的学习习惯和数学思维方式,提高学生的学习兴趣和解决问题的能力,提升课堂教学效果。

高职微积分教学中数学思想方法的研究与实践

为培养学生的数学思想,提升学生数学能力,高职教师要用数学的思想方法,如函数思想、极限思想、化归思想、类比思想、数形结合思想、数学建模思想及整体和局部的思想,分析问题、解决问题,为高职学生更好地学习数学基础课提供良好的思维方法,并服务于专业课的学习,为学生的终身学习打下良好的基础。

基于FMEA方法的我国高校创新创业教育生态系统风险预警模式研究

针对当前我国高校创新创业教育生态系统绩效评估存在的薄弱环节,通过引入失效模式与效应分析(FMEA)来评估我国高校创新创业教育生态系统绩效。以严重程度(S)、发生概率(O)、可检测度(D)作为评估指标,剖析了我国高校创新创业教育生态系统评估管理流程中的失效模式,最后利用模糊数学得出风险优先指数(RPN),提出针对我国高校创新创业教育生态系统的新风险评估方案。该方案显示,这种评估方法不仅能够系统识别潜在的风险点,还能够通过量化的指标(S、O、D)对这些风险进行优先级排序,进而采取针对性的管理措施。这对于推动我国高校创新创业教育的高质量发展具有重要意义,可为培养更多具备创新精神和创业能力的高素质人才提供一定的理论基础。

张奠宙:中国特色数学教育“四个自信”的伟大彰显者

张奠宙先生是我国当代数学教育发展的先行者,引领着中国数学教育发展立足本土并逐步走向国际舞台,充分彰显了“四个自信”。立足本土进行数学教育改革与实践,从国际学术会议的参与者到组织者,切实走出一条中国特色的数学教育道路;立足本土实践总结提炼数学教育理念,编写兼具本土特色与国际视野的数学教育教材,积极构建中国本土的数学教育理论;凝聚数学教育学术力量,持续十五年举办全国数学教育高级研讨班,形成合力培养数学教育硕博士生,集中力量为我国培养数学教育人才;积极推动数学教育与数学文化的学术交流与实践,立足实际编写数学文化读物、举办数学文化活动,大力推动中外数学文化传播与交融。

面向数学基础薄弱学生的高等数学分层教学探索与实践

为全面提高学校人才自主培养质量,帮助学业上有困难的学生,同时总结分层教学已有的经验和教训,本文探讨了面向数学基础薄弱学生的高等数学分层教学模式.通过问卷调查,并结合与全校学生平均成绩的数据对比,发现该模式取得了令人满意的效果,具有一定的推广示范效应.