初中数学建模的影响因素及其对策

发布时间：2018-05-13 19:22

本文选题：初中 + 数学建模　；参考：《集美大学》2017年硕士论文

【摘要】：新课程改革特别强调提高学生的应用意识和创新意识,重视联系学生生活实际和社会实践的要求。数学建模作为联系实际应用和数学理论的天然纽带,已成为当今数学教育改革的热点之一。然而,通过对厦门两所公办中学进行数学建模教学实施现状的问卷调查后发现,数学建模教学在目前初中课堂出现尚少,如何有效实施数学建模困扰初中教学的一大难题。本文主要以初中生独立完成的数学建模课前作业以及课堂中的数学建模活动为研究对象,采用文献研究法、访谈法、问卷调查法以及课堂观察法,研究初中生数学建模的影响因素,以此来探讨在初中阶段实施数学建模活动的教与学的问题。通过本文研究,得出影响初中生数学建模的因素主要包括学生自身方面的因素以及课堂教学中师生间的相互影响两方面。学生自身方面的因素包括:学生的问题表征能力;学生的问题模型策略;学生对解题模式的概括能力;学生的自我监控能力。课堂具体实施的过程对学生数学建模的影响因素包括:数学建模教学实施形式,师生间的交流合作,学生间的交流合作等都会影响到数学建模在课堂的有效实施。最后,根据影响因素提出了相应的对策,包括提高的问题表征能力;引导学生采用问题表征策略;提高学生的数学概括能力,促进模型的模式识别;提高学生的数学建模自我监控能力;采取合理的数学建模课堂实施形式;教师角色的转变等。
[Abstract]:The new curriculum reform emphasizes on improving students' consciousness of application and innovation, and attaches importance to the requirement of connecting with students' life and social practice. As a natural link between practical application and mathematical theory, mathematical modeling has become one of the hotspots in the reform of mathematics education. However, through the questionnaire survey on the present situation of mathematical modeling teaching in two public middle schools in Xiamen, it is found that there are few mathematical modeling teaching in junior middle school at present, and how to effectively implement mathematical modeling is a big problem puzzling junior middle school teaching. This paper mainly takes the homework of mathematical modeling and mathematical modeling activities in the classroom as the research object, adopts the literature research method, the interview method, the questionnaire survey method and the classroom observation method, and takes the mathematics modeling homework which the junior high school student completes independently, and the classroom mathematics modeling activity as the research object. This paper studies the influencing factors of mathematical modeling in junior high school students, so as to discuss the teaching and learning of mathematical modeling activities in junior middle school. Through the research of this paper, it is concluded that the factors influencing mathematical modeling of junior high school students mainly include the factors of students themselves and the interaction between teachers and students in classroom teaching. The factors of students themselves include: students' problem representation ability, students' problem model strategies, students' ability to generalize problem-solving models, and students' self-monitoring ability. The factors that affect the students' mathematical modeling are the form of mathematical modeling teaching, the communication and cooperation between teachers and students, the communication cooperation between students and so on, which will affect the effective implementation of mathematical modeling in the classroom. Finally, the corresponding countermeasures are put forward according to the influencing factors, including improving the problem representation ability, guiding the students to adopt the problem representation strategy, improving the students' mathematics generalization ability and promoting the pattern recognition of the model. To improve students' self-monitoring ability of mathematical modeling; to adopt reasonable classroom implementation form of mathematical modeling; to change the role of teachers and so on.
【学位授予单位】：集美大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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