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中文题名:

 HPM视角下函数奇偶性的教学研究    

姓名:

 黄昌杰    

保密级别:

 公开    

论文语种:

 中文    

学科代码:

 045104    

学科专业:

 学科教学(数学)    

学生类型:

 硕士    

学位:

 教育硕士    

学位类型:

 专业学位    

学位年度:

 2018    

校区:

 珠海校区培养    

学院:

 研究生院珠海分院    

研究方向:

 数学教育    

第一导师姓名:

 高文华    

第一导师单位:

 北京师范大学珠海分校    

提交日期:

 2018-06-19    

答辩日期:

 2018-06-19    

外文题名:

 Teaching Research on Parity of Function from HPM Perspective    

中文关键词:

 奇偶函数 ; HPM ; 数学史 ; 教学实验    

中文摘要:
奇偶函数是高中数学的重要内容,奇偶函数具有各种重要数学特征,在学习 函数奇偶性的过程中,可以培养学生各种数学能力和数学素养,比如数形结合的 能力,抽象推理能力等,所以,学好奇偶函数,对学生学好数学具有重要意义。 HPM(History and Pedagogy of Mathematics)的研究是目前比较热门的研 究领域,HPM 致力于把丰富的数学史融入到数学课堂教学当中。数学史是一座丰 富的数学宝藏,有效利用数学史开发出可行性的教学案例,并将 HPM 教学案例实 施于日常教学当中,可以收到较好的教学效果。 本文尝试把数学史融入到函数奇偶性的课堂教学案例当中,根据教材的安排 和学生的知识结构,本教学实验分为新课的教学和习题课的教学。笔者在高一课 堂进行了实践,同时及时对学生进行了问卷调查,对教师进行了访谈记录。通过 数据分析,发现融入数学史的教学可以活跃课堂气氛,激发学生学习兴趣,帮助 学生更好地理解数学知识,加深对知识的记忆,更好的掌握数学知识;教师在收 集和整理相关史料过程中可以加深对数学知识的理解,提高教师专业水平,数学 史还可以给教师提供教学启示,丰富教学内容,提升课堂效果。
外文摘要:
Parity function is an important content of high school mathematics. Parity function has various important mathematical features. In the process of learning parity of function, students can be trained in various mathematical abilities and accomplishments, such as the ability of combining numbers with shapes, the ability of abstract reasoning, etc. Therefore, learning parity function well is of great significance to students' learning mathematics well. The study of HPM (History and Pedagogy of Mathematics) is currently a hot research field, and HPM is committed to integrating rich mathematical History into the teaching of Mathematics classes. Mathematics history is a rich treasure. Effective use of the history of mathematics to develop feasible teaching cases, and the implementation of HPM teaching cases in daily teaching, can receive better teaching results. This paper attempts to integrate the history of mathematics into the classroom teaching cases of functional parity. According to the arrangement of teaching materials and the knowledge structure of students, this teaching experiment is divided into the teaching of new courses and exercise classes. The author carried out the practice in the class of grade one, and at the same time made a questionnaire survey of students in time, and made an interview record of teachers. Through data analysis, it is found that the teaching of mathematics history can enliven the classroom atmosphere, stimulate students' interest in learning, help students better understand mathematical knowledge, deepen their memory of knowledge and better master mathematical knowledge. Teachers can deepen their understanding of mathematical knowledge and improve their professional level in the process of collecting and sorting out related historical materials. And the history of mathematics can also provide teachers with teaching enlightenment, enrich teaching content and improve classroom effect.
参考文献总数:

 0    

馆藏地:

 总馆B301    

馆藏号:

 硕045104/18031    

开放日期:

 2019-07-09    

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