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 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.

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.

Using Speech Recognition in Learning Primary School Mathematics via Explain, Instruct and Facilitate Techniques

The application of Information and Communication Technologies has transformed traditional Teaching and Learning in the past decade to computerized-based era. This evolution has resulted from the emergence of the digital system and has greatly impacted on the global education and socio-cultural development. Multimedia has been absorbed into the education sector for producing a new learning concept and a combination of educational and entertainment approach. This research is concerned with the application of Window Speech Recognition and Microsoft Visual Basic 2008 Integrated/Interactive Development Environment in Multimedia-Assisted Courseware prototype development for Primary School Mathematics contents, namely, single digits and the addition. The Teaching and Learning techniques—Explain, Instruct and Facilitate are proposed and these could be viewed as instructors’ centered strategy, instructors’—learners’ dual communication and learners' active participation. The prototype is called M-EIF and deployed only users' voices;hence the activation of Window Speech Recognition is required prior to a test run.

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.

Appreciation and Analysis of the“Truth,Goodness and Beauty”in Primary School Mathematics Class

Focus on cultivating students’mathematical thinking and ability to solve problems in life,guide students to form a scientific attitude of seeking truth from facts,and make students feel the charm of mathematics.

Attitude, Secondary Schools and Student Success in a Tertiary Mathematics Unit

There is a consensus in the literature that mathematical ability contributes to student success in tertiary education. More importantly, mathematical skills are necessary when successfully completing mathematics- and/or science-based degrees. Social sciences such as psychology and economics require statistical skills which also require knowledge of mathematics. Even business students, such as marketing and accounting students need the necessary mathematical skills to successfully complete their degrees at university. This paper suggests that student success in a core business subject is dependent on their mathematical aptitude, attitude, and type of secondary schooling whether government or non-government schools. There is urgency for universities to recognize that high failure rates are due to insufficient mathematics exposure in secondary schooling and remedial classes might not be enough. Specifying a minimum （maths, e.g., two units） requirement for entry and/or providing bridging programs to ensure students have the necessary basic mathematical skills would increase student success in quantitative units.

The Realistic Review on Elementary School Mathematics Teaching Reform

It is of benefit to the development of the elementary school quality-oriented mathematics education to deepen the elementary school mathematics classroom teaching reform and review the fruits of classroom teaching. In this paper, the author, with his own teaching practice, has summarized and reviewed the fruits of elementary school classroom teaching reform in four respects： 1） ＂integration of theory with practice＂ should be highlighted in this reform; 2） the classroom teaching should focus on the improvement of students＂ ＂mathematical thinking ability＂;3） mathematics classroom teaching should conform to the reality of our daily life; and 4） mathematics classroom teaching should help the students to build the ＂mathematical model thinking＂.

Review and Reflection on the Research of Mathematics Problems in Junior High School

The problem of mathematics is an important teaching method of students’core qualities cultivation.Statistics and analysis of The master’s thesis related to“junior high school mathematics”and“problem posing”in the past ten years were counted and analyzed from chronological distribution,institutional distribution and research topics and other dimensions.The research results:ignorance of domestic research on the textbook content;formalization of problem raising under the the guidance of theory;the opposite direction of demonstration and qualitative research;fuzzy and superficial results and countermeasures of research.Research reflection:broaden thoughts of the field,attach importance to the study of textbook content,and enhance the expression of the teacher’s question raising;deepen the guiding ideas,reiterate the theory to guide the practice,reflect the complement of the theoretical practice;be rigorous about thoughts,attach importance to empirical and quantitive combination,improve scientific and appropriate research methods;develop the logical thinking,focus on the study of results and countermeasures,and manifest the value of research results.

Discussion on the Effective Use of Error Resources in Primary School Mathematics

course.With students’high thinking ability,they are faced with many problems and challenges.In this process,the teaching mode of teachers is too traditional.In class,teachers always give endless lectures,so that students have little time for independent thinking and inquiry learning.At the same time,teachers pay too much attention to the use of“correct resources”in the teaching process,but ignore the use of“wrong resources”and the use of value.The long-term continuation of this teaching mode will reduce the enthusiasm and initiative of primary school students in mathematics learning,and learning is very bad for students.Therefore,teachers should pay attention to the correct use of“wrong resources”,and make effective use of these resources for classroom teaching,in order to improve students’learning enthusiasm and the cultivation of inquiry ability.

Interactive Mathematics Lessons by Scratch

Scratch is a visual programming tools that is widely used in many lessons. While many of the lessons use thecoding features of Scratch, teachers may also use the interactive features in their lessons. In a course for in-serviceprimary school teachers, on the use of technology for the school-based learning and teaching, teachers had anexperience on how Scratch can be used to facilitate learning. Starting from no programming history, teachers spent3 hours each on 4 topics including Take-Away Model, The Four Operations, Divisibilities, and Area of SimpleFigures, via step-by-step procedures on setting up animations within the theme that would attract students, and withthe interaction responses such as text and sound, they successfully handled the use of Scratch and could design andmake their lessons perfectly to their students. While teachers suggest learning should be extended to the second andthe third classroom, with this easy-to-learn programming language, teachers could now facilitate learning ofstudents by the attractive school-based games, which focus on particular topics the teachers had selected.

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

美国小学数学教学中的问题提出及启示——以West Park Place Elementary School为例

为考察美国小学教学中的"问题提出"如何融入到数学教学中这一问题,以美国特拉华州West Park Place Elementary School小学为例,观摩了一堂数学课和数学RTI(response to intervention)教学,并分析了作业与练习中的问题提出模式.以此为出发点,探讨对中国小学数学教学的启示.主要有4点启示:(1)融入课堂不是梦;(2)与问题解决相伴相形,相得益彰;(3)数学意义与实际情境的双向建构;(4)评价何须要定量.

利用Mathematica软件改善高等数学教学效果的实践

现代化的教育理念、教育手段和教学素材对传统的高等数学教学产生了深刻影响，我们在新编的学历教育合训教材中尝试将高等数学教学内容、数学建模的思想和方法以及Mathematica软件进行有机的整合。本文介绍了如何充分利用Mathematica软件来激发学生的学习兴趣、改善教学效果的一些具体做法。实践证明，在Mathematica软件支持下，可以大大提高高等数学教学质量。

利用Mathematica软件提高中学数学的教学效果

在中学数学教学活动中引入Mathematica软件可以提高教学效果。有利因素有:可以降低教学难度和激发学生的学习兴趣;培养学生的自学能力;培养学生的计算思维。案例教学表明引入Mathematica软件辅助教学可以达到一个良好的教学效果。

中日韩小学数学教材中度量衡内容的比较研究

度量与人类生活密不可分,也是量化与标准思维运用的开始.在数学课程中,度量衡是小学一~三年级学习的度量内容.对中日韩3国小学数学教材中的度量衡内容进行了比较.宏观上统计分析了3国小学数学教材中度量衡所占的页码数、年级分布、内容选取、编排逻辑有哪些相同点和不同点;微观上研究选取了长度作为案例,挖掘中日韩教材度量衡内容在知识点的选取和编排上所呈现的相同点和不同点.在分析的基础上提出思考与建议:充分认识度量衡的价值;教材编修要关注度量教学的实践性;注重度量单位字母表示的规范书写与应用;注重度量衡内容编排的整体性与统一性.

生成式人工智能支持的教师评语研究:基于初中数学课堂的实践探索

教师评语是形成性评价分析的重要数据来源,但现有教师评语生成的质量在社会性、客观性和个性化方面存在一定的不足,生成式人工智能支持的教师评语为解决该问题提供了可能。生成式教师评语是指教师通过认知诊断技术得到的智能诊断数据与生成式人工智能平台进行交互,从而让生成式人工智能平台模拟教师社会性语言,生成数据驱动的个性化教师评语。在初中数学课堂中的实证研究发现:生成式教师评语有效地提高了学生的自我调节学习能力(Cohen's d=1.08,p=0.000)和学习动机(Cohen's d=0.59,p=0.003),对学生的深度访谈结果表明,生成式评语能作为考试的一种总结反思工具,体现了教师对学生个性化的关注和鼓励。研究结果为人工智能技术助力个性化、精准化教学提供了研究思路,为教育环境中持续评估和改进生成式人工智能技术的使用提供了建议。

小学数学文化主题活动设计及实施要点

以“文化育人”为目标导向的小学数学文化主题活动,是新课标倡导下落实核心素养的一种形式,能够把握数学文化的整体育人价值。沿着“发自文化—通过文化—生产文化”的整体脉络,小学数学文化主题活动的设计包括情境性触动、数学化理解、个性化实践、综合化呈现与表达和社会化应用五大基本环节。在实施中,须注意于文化情境中整合与揭示主题活动的目标、在文化与数学的深度融合中促成深度理解、注重以活动为载体的文化体验与实践过程、在动态和开放的学习评价中促生文化自觉。

统计活动过程视角下小学“统计与概率”教材内容的分析与比较——以“苏教版”“北师版”为例

以“统计活动过程”视角为理论基础,从统计活动过程的各环节要素对苏教版和北师版小学数学教材中“统计与概率”内容进行分析和比较.研究发现:两版教材在统计活动过程的各环节上有所侧重,整体上各具风格;两版教材均直接突出对统计基础知识的重视,并间接蕴涵着对数据意识的培养.对教材使用的启示有:以“统计活动视角”为基础,注重对教材进行创生;将活动视角与统计教学间的“冲突”化为提升素养的机会;进而在统计活动中促进批判性思维的发展.对教材编写或修订提供启发:从学科角度厘清“统计”与“概率”的本质关系,整体把握统计活动的全过程,给予学生更多获取直接经验的机会.

小学数学教材中“角的度量”单元内容编排分析与比较——以人教版、北师版和浙教版为例

文章从教材编排体系、教学内容以及习题设置三个维度对人教版、北师版和浙教版小学数学教材中“角的度量”单元相关内容的共性与差异性进行分析,发现其在教材内容编排方面均呈现递进式逻辑,习题设置注重思维开拓,以图形辅助文字表述的方式进行问题表征,问题结构以半开放型为主。人教版与北师版关于角的相关知识单元分布于第一、二两个学段,浙教版则集中于第二学段。教学内容上,人教版强调支架式教学,北师版注重生活经验,浙教版抽象度高。在习题设置方面,三版教材依次具备知识点涵盖面广、操作活动丰富、重逻辑推理的特点。教师可采用整合单元内容、丰富情境素材选取、直观操作与抽象概括相结合、优化习题设置等方式提升教学效果。