基于建构主义的圆锥曲线的教学研究

发布时间：2018-06-12 11:36

本文选题：圆锥曲线 + 建构主义　；参考：《新疆师范大学》2015年硕士论文

【摘要】：圆锥曲线经过了几百年的发展,现如今在各个领域都有着重要的作用.在中学数学中,圆锥曲线作为解析几何的经典内容一直占有十分重要的位置,因而本部分内容对学生的各个方面能力要求比较高,所以很多学生学习的效果并不是十分理想.学生学习的困难到底在哪里?笔者进行了一次调查问卷,通过分析调查结果,结合当前的先进的教学理论即建构主义教学理论,通过对学生的分析,对建构主义的教学理论分析,形成了基于建构主义的圆锥曲线的教学研究.建构主义理论强调数学知识的学习不是一个被动接受的过程,而是主动的,自主的建构,是主体在自己头脑中建构数学知识的一个过程。教学课堂中学生成为了课堂的主人,教师只是学生学习的指导者与参与者。它积极的倡导学生自主探究,自主思考,培养了学生的创新能力与合作交流能力。本文通过对传统教学与当前的教学趋势做了一个对比,对圆锥曲线的发展进行了一定的研究,对学生在圆锥曲线学习部分的学习现状进行了一定的研究.阐述了建构主义理论的发展与建构主义教学观,学习观及其数学教学特征.在形成建构主义下的圆锥曲线教学理论的过程中,笔者还进行了一次基于建构主义的圆锥曲线的教学实验,通过对实验结果的具体分析,用得到的实验结果来说明本文的研究意义。基于建构主义理论在圆锥曲线教学中提出了建构主义的圆锥曲线教学中的六个过程,即教学目标与任务分析,学生特征分析,课堂情境与教学策略创设,建构下课堂实施,教学评价,建构下课后反思与自我评价;数学思想是贯穿数学教学的重点,本文着重介绍了如何让学生在建构主义的圆锥曲线教学课堂中去理解数学思想;由于教学班级中的学生数学学习能力存在差异性,本文还介绍了如何让学生在能力不同的情况下进行自我建构,合作学习中发挥出他们的最大优势,提高他们的学习效率.
[Abstract]:After hundreds of years of development, conic curves now play an important role in all fields. In middle school mathematics, conic curve, as the classical content of analytic geometry, has always occupied a very important position, so the content of this part has high requirements on the students' ability in all aspects, so many students' learning effect is not very ideal. What is the difficulty of learning for students? The author conducted a questionnaire, through the analysis of the results of the survey, combined with the current advanced teaching theory, that is, constructivism teaching theory, through the analysis of students, constructivism teaching theory analysis, The teaching research of conic curve based on constructivism is formed. Constructivism theory emphasizes that the learning of mathematical knowledge is not a process of passive acceptance, but an active and autonomous construction, which is a process in which the subject constructs mathematical knowledge in his own mind. The middle school students become the masters of the classroom, and the teachers are only the instructors and participants of the students' learning. It actively advocates the students to explore independently and think independently, which cultivates the students' ability of innovation and cooperation and communication. This paper makes a comparison between the traditional teaching and the current teaching trend, studies the development of conic curve, and studies the present learning situation of students in the part of learning conic curve. This paper expounds the development of constructivism theory, the teaching view of constructivism, the view of learning and the characteristics of mathematics teaching. In the course of forming the teaching theory of conic under constructivism, the author also carried out a teaching experiment of conic based on constructivism. The experimental results are used to illustrate the significance of this study. Based on the theory of constructivism, this paper puts forward six teaching processes in conic teaching of constructivism, that is, the analysis of teaching objectives and tasks, the analysis of students' characteristics, the creation of classroom situations and teaching strategies, and the classroom implementation under construction. Teaching evaluation, reflection and self-evaluation after class, mathematics thought is the key point of mathematics teaching, this paper mainly introduces how to let students understand mathematics thought in constructivism conic teaching class. Because of the difference of students' mathematics learning ability in the teaching class, this paper also introduces how to let students construct themselves under the condition of different abilities, so as to give full play to their greatest advantage in cooperative learning and improve their learning efficiency.
【学位授予单位】：新疆师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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