培养初中生应用意识的数学作业设计研究

发布时间：2018-03-02 05:33

本文关键词： 初中数学初中生应用意识数学作业设计　出处：《重庆师范大学》2017年硕士论文　论文类型：学位论文

【摘要】：现代社会科学技术迅猛发展,作为科学基础的数学得到了广泛的应用,社会需要具有数学应用能力的人才。义务教育数学课程标准对应用意识也作出了要求,在数学教学中要突出应用意识的培养。而作业是教学过程中不可或缺的一个重要环节,它不仅可以帮助学生理解、巩固和运用课堂所学知识,而且可以培养和提高学生应用意识。但我国初中生应用意识现状不容乐观,所以本文通过研究数学作业设计来培养初中生的应用意识,符合社会和课标对当今数学教育的要求。本研究通过文献法对应用意识和数学作业设计相关研究进行梳理,分析出应用意识的内涵和表现形式,得到“数量化意识”、“图形化意识”、“模型化意识”、“数据分析观念”和“推理意识”这五个应用意识的表现形式。然后,在应用意识的表现形式和相关理论研究的基础上,通过理论研究法提出培养初中生应用意识的数学作业设计的如下原则:以人为本原则、应用性原则、建构性原则、迁移性原则、灵活适量性原则、趣味性原则和生活化原则;得到了培养初中生应用意识的数学作业设计的三种分类:应用意识实践型、趣味型和创新型数学作业设计。最后通过案例分析法,以“折叠与展开”、“数据的收集与整理”、“用频率估计概率”和“一元一次方程”为例,结合原则与类型设计出培养初中生应用意识的数学作业并对此分析。本研究从数学课堂的作业环节入手,通过对数学作业设计的研究来培养初中生的应用意识,真正将初中生应用意识的培养落入到数学课堂中,对一线教师的教学和初中生的学习起到一定帮助。本研究的不足主要体现在案例未真正实施,希望在后续的研究中能将此运用到初中数学教学中。
[Abstract]:With the rapid development of science and technology in modern society, mathematics, as the foundation of science, has been widely applied. The society needs talents with the ability to apply mathematics. The mathematics curriculum standard of compulsory education also requires the consciousness of application. In mathematics teaching, the cultivation of application consciousness should be emphasized. Homework is an indispensable link in the teaching process. It can not only help students understand, consolidate and apply what they have learned in the classroom, But the present situation of the application consciousness of junior high school students in our country is not optimistic, so this paper develops the application consciousness of junior high school students by studying the mathematics assignment design. In accordance with the requirements of society and curriculum standards for today's mathematics education, this study combed the relevant research on applied consciousness and mathematical homework design through literature method, and analyzed the connotation and manifestation of applied consciousness. The expression forms of "quantitative consciousness", "graphic consciousness", "modeling consciousness", "data analysis concept" and "reasoning consciousness" are obtained. This paper puts forward the following principles of mathematical homework design for junior high school students through theoretical research: People-oriented principle, application principle, constructional principle, mobility principle, flexible and moderate principle, interesting principle and life-oriented principle; Three categories of mathematical homework design for junior high school students are obtained: practical type of applied consciousness, interesting type and creative type of mathematical assignment design. For example, "folding and spreading", "data collection and collation", "estimating probability with frequency" and "unitary first order equation" as examples, Combining the principles and types, the paper designs and analyzes the mathematics homework to cultivate the junior high school students' application consciousness. This research begins with the homework link of the mathematics classroom, and trains the junior high school students' application consciousness through the research of the mathematics homework design. The training of junior high school students' application consciousness falls into the mathematics classroom, which is helpful to the first-line teachers' teaching and the junior high school students' learning. The main deficiency of this study is that the cases are not really implemented. Hope that in the follow-up study can be applied to junior high school mathematics teaching.
【学位授予单位】：重庆师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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