【作者】 李艳；

【导师】 刘攀；

【作者基本信息】 华东师范大学 ， 应用数学， 2022， 硕士

【副题名】以数学话剧《几何人生Ⅱ——大师陈省身》为例

【摘要】 在“立德树人”的新要求下,数学教育领域也更加注重数学文化教育,达到以文化人,以文育人的效果。数学话剧是开展数学文化教育的一种新形式,在实践活动中发挥数学文化的育人价值,在寓教于乐中提升学生的文化素养。华东师范大学在数学话剧领域已有十年的实践积累,初步形成数学话剧实践活动育人模式,并将此模式在中小学数学拓展课堂进行探索实践。为了更好地发挥数学文化教育价值,更有效地开展数学话剧这一类教育实践活动,本研究拟采用理论与实践相结合的方式,聚焦于数学文化教育和数学话剧实践活动提出本研究的研究问题:(1)数学文化教育的内涵及其教育价值是什么?(2)数学话剧实践活动对于学生有什么影响?本研究主要分为两个部分,即文献研究和实践研究。文献研究通过对数学文化的内涵及教育价值的观点进行梳理提炼,得到本研究对数学文化教育的内涵及教育价值的界定。实践研究选取数学话剧《几何人生Ⅱ——大师陈省身》实践活动为研究的案例,从此部数学话剧实践活动开展的四个阶段进行研究:在实践准备阶段中确定剧本主题,分析挖掘人物的教育价值;在数学话剧实践阶段,招募学生并展开排练,在2018年至2021年完成12场演出活动并录制话剧演出视频;在评价反馈阶段,基于文献研究的结果编制数学话剧教育价值测评问卷和访谈提纲,针对参与数学话剧实践活动的学生和观看数学话剧的学生开展问卷调查和访谈,并收集相关学生的观后感进行分析;在总结完善阶段,基于12场实践活动的经验和反馈数据,总结提炼出开展数学话剧实践活动的优化建议,形成一套更有效的数学话剧实践育人模式。基于文献和实践研究以及对数据的综合分析,得到如下的研究结论:(1)数学文化教育是一种以向外传播数学文化和内化提升文化素质为目的的,将数学文化从静止形态转变为动态的教育形态的活动或过程。其教育价值主要体现在学科本身的科学价值和应用价值、学科文化特征的德育价值和美育价值四个方面。(2)数学话剧实践活动对学生普遍性的影响:了解中国数学史,激发爱国情怀;产生数学感性,提供学习动力;感受理性精神,坚持心中所爱。数学话剧实践活动对学生特殊性的影响:不同类别的学生受到影响不同,演职人员在排演实践中提升了综合素质;不同专业的学生受到的影响不同,基础数学专业的学生参与者更能感受到科学价值,数学教育专业的学生参与者更能感受到应用价值;文科类专业的学生更能感受到美育价值。更多还原

【Abstract】 Under the new requirement of "moral education",the field of mathematics education also pays more attention to mathematics cultural education,so as to achieve the effect of educating people with culture.Mathematics drama is a new form of mathematics cultural education.It gives full play to the educational value of mathematics culture in practical activities and improves students’ cultural literacy in teaching and fun.East China Normal University has accumulated ten years of practice in the field of mathematics drama,initially formed the education model of mathematics drama practice activities,and explored and practiced this model in the mathematics expansion course of primary and secondary schools.In order to give better play to the educational value of mathematics culture and carry out educational practice activities such as mathematics drama more effectively,this study intends to adopt theoretical and practical research,focus on mathematics cultural education and mathematics drama practice activities,and put forward the research questions of this study:(1)What is the connotation and value of mathematics cultural education?(2)What is the impact of mathematics drama practice activities on students?In the literature research,based on the analysis of the connotation and educational value of mathematics culture,we define the connotation and educational value of mathematics cultural education in this study.In the practice research,the practice activities of the mathematics drama The geometric life of Shiing-Shen Chern Ⅱ are selected as the research cases.The researchers study the four stages of the practice activities of the mathematics Drama: In the practice preparation stage,the theme of the script was determined and the educational value of the characters was analyzed.In the mathematics drama practice stage,students were recruited and rehearsed.From 2018 to 2021,12 performances were completed and drama performance videos were recorded.In the evaluation and feedback stage,based on the results of literature research,a questionnaire and interview outline for the educational value of mathematics drama were compiled,and questionnaires and interviews were completed by the students who participated in the practice activities of the mathematics drama and those who watched the mathematics drama,and the feedback of the relevant students was collected and analyzed.In the stage of summarization and improvement,based on the experience of 12 practice activities and feedback data,the optimization suggestions for carrying out mathematics drama practice activities were summarized and a more effective mathematics drama practice education model was formed.Based on literature research and practice research and a comprehensive analysis of the data,the following conclusions are drawn:(1)Mathematics cultural education is an activity or process that transforms mathematics culture from a static form to a dynamic educational form for the purpose of spreading mathematics culture and improving cultural quality.Its educational value is mainly reflected in four aspects: the scientific value and application value of the discipline itself,the moral education value and the aesthetic education value of the cultural characteristics of the discipline.(2)The universal influence of mathematics drama practice activities on students:(a)learning about the history of mathematics in China and being inspired patriotism;(b)generating mathematics sensibility and being provided motivation for learning;(c)feeling the rational spirit and sticking to what you love.The special impact of mathematics drama practice activities on students:(a)Different types of students are affected differently.The cast members have improved their comprehensive quality in practice.(b)Students of different majors are affected differently.Students majoring in basic mathematics can feel the scientific value more,students majoring in mathematics education can feel the application value more,and students majoring in liberal arts can feel the aesthetic education value more.更多还原