义务教育数学算法思想的研究
发布时间：2018-12-08 20:14
【摘要】：算法是不仅是数学及其应用的重要组成部分,而且是计算机科学技术的重要基础。随着现代信息技术飞速发展,算法在科学技术、社会发展中发挥着越来越大的作用,并日益融入社会生活的许多方面,算法思想已经成为现代人应具备的一种数学素养。《高中数学课程标准(实验)》指出,高中阶段算法知识是建立在义务教育阶段学生初步感受算法思想的基础上,然而《义务教育数学课程标准(实验稿)》对算法思想的教学并未做出明确的要求和说明,因此该怎样在义务教育阶段使学生初步感受算法思想,这是一个值得思考和研究的课题。通过文献检索发现,目前并没有对义务教育数学算法思想的相关研究,因此本论文在一定程度上能够弥补这方面的空白,本论文共分为绪论、算法概述、教材分析和教学设计、教学实施建议、研究总结与展望五个部分。在绪论部分,主要介绍本论文的研究背景和研究意义。在数学课程标准的要求、时代发展的需求、算法思想的数学文化价值、义务教育算法思想研究的诉求等研究背景下,我们有必要对义务教育数学算法思想进行研究;义务教育算法思想能够培养学生良好的思维习惯、发展学生数学思维能力、为学生深入学习算法知识奠定基础,因此,研究义务教育数学算法思想具有重要的意义。在算法概述部分,主要内容是算法概念的界定,算法特征的分析,算法的要素及描述,算法思想的内涵,《高中数学课程标准(实验)》的对算法部分的要求。通过对算法进行概述,为下一个模块算法思想的研究奠定理论基础。在教材分析和教学设计部分,主要研究内容是:(1)算法思想与运算;(2)算法思想与方程;(3)算法思想与函数;(4)算法思想与几何;(5)算法思想与统计。每一部分的研究思路是:首先选择具有代表性和教育性的教学内容;然后对选择的教学内容进行算法设计和描述;最后进行算法化教学案例开发设计。在教学实施建议部分,通过以上对义务教育数学算法思想的研究,对义务教育算法思想提出教学实施建议,建议教师教学时注重渗透式教学,算法化教学,算法与算理并重,鼓励算法多样化,强调算法与信息技术相结合。在研究总结与展望部分,对义务教育数学教材与教学中蕴含的算法思想进行了总结,同时对义务教育数学算法思想的深入研究进行了展望。
[Abstract]:Algorithm is not only an important part of mathematics and its application, but also an important foundation of computer science and technology. With the rapid development of modern information technology, algorithms play a more and more important role in science, technology and social development, and are increasingly integrated into many aspects of social life. The idea of arithmetic has become a kind of mathematics literacy that modern people should possess. "Mathematics Curriculum Standard of Senior Middle School (experiment)" points out that the knowledge of algorithm in senior high school is based on the idea of initial feeling algorithm of students in compulsory education. However, the Mathematics Curriculum Standard for compulsory Education (Experimental draft) has not made a clear request and explanation for the teaching of the arithmetic thought, so how to make the students feel the idea of the algorithm initially in the compulsory education stage? This is a subject worthy of consideration and study. Through literature retrieval, it is found that there is no relevant research on mathematics arithmetic thought of compulsory education at present, so this paper can make up the blank in this respect to some extent, this paper is divided into introduction, algorithm summary, teaching material analysis and teaching design, the whole paper is divided into the introduction, the algorithm summary, the teaching material analysis and the teaching design. The teaching implementation suggestion, the research summary and the prospect five parts. In the introduction part, it mainly introduces the research background and significance of this paper. Under the background of the requirement of mathematics curriculum standard, the requirement of the development of the times, the mathematics culture value of the arithmetic thought, the demand of the compulsory education arithmetic thought, it is necessary for us to study the mathematics arithmetic thought of the compulsory education. The idea of compulsory education algorithm can cultivate students' good thinking habits, develop students' thinking ability of mathematics, and lay the foundation for students to learn arithmetic knowledge deeply. Therefore, it is of great significance to study the idea of mathematics algorithm in compulsory education. In the part of algorithm overview, the main content is the definition of algorithm concept, the analysis of algorithm characteristics, the elements and description of algorithm, the connotation of algorithm idea, and the requirements of algorithm part of "Senior Mathematics Curriculum Standard (experiment)". The algorithm is summarized to lay a theoretical foundation for the study of the algorithm idea of the next module. In the part of textbook analysis and teaching design, the main research contents are: (1) algorithm thought and operation; (2) algorithm thought and equation; (3) algorithm thought and function; (4) algorithm thought and geometry; (5) algorithm thought and statistics. The research ideas of each part are as follows: firstly, the representative and educational teaching content is selected; then, the algorithm design and description of the selected teaching content are carried out; finally, the algorithmic teaching case development design is carried out. In the teaching implementation suggestion part, through the above research to the compulsory education mathematics algorithm thought, puts forward the teaching implementation suggestion to the compulsory education algorithm thought, suggests the teacher pays attention to the permeable teaching, the algorithmic teaching, the algorithm and the calculation principle, Encourage the diversity of algorithms and emphasize the combination of algorithms and information technology. In the part of research summary and prospect, the author summarizes the arithmetic ideas contained in the mathematics teaching materials and teaching of compulsory education, and looks forward to the further research on the mathematics arithmetic thought of compulsory education.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
本文编号：2368938
[Abstract]:Algorithm is not only an important part of mathematics and its application, but also an important foundation of computer science and technology. With the rapid development of modern information technology, algorithms play a more and more important role in science, technology and social development, and are increasingly integrated into many aspects of social life. The idea of arithmetic has become a kind of mathematics literacy that modern people should possess. "Mathematics Curriculum Standard of Senior Middle School (experiment)" points out that the knowledge of algorithm in senior high school is based on the idea of initial feeling algorithm of students in compulsory education. However, the Mathematics Curriculum Standard for compulsory Education (Experimental draft) has not made a clear request and explanation for the teaching of the arithmetic thought, so how to make the students feel the idea of the algorithm initially in the compulsory education stage? This is a subject worthy of consideration and study. Through literature retrieval, it is found that there is no relevant research on mathematics arithmetic thought of compulsory education at present, so this paper can make up the blank in this respect to some extent, this paper is divided into introduction, algorithm summary, teaching material analysis and teaching design, the whole paper is divided into the introduction, the algorithm summary, the teaching material analysis and the teaching design. The teaching implementation suggestion, the research summary and the prospect five parts. In the introduction part, it mainly introduces the research background and significance of this paper. Under the background of the requirement of mathematics curriculum standard, the requirement of the development of the times, the mathematics culture value of the arithmetic thought, the demand of the compulsory education arithmetic thought, it is necessary for us to study the mathematics arithmetic thought of the compulsory education. The idea of compulsory education algorithm can cultivate students' good thinking habits, develop students' thinking ability of mathematics, and lay the foundation for students to learn arithmetic knowledge deeply. Therefore, it is of great significance to study the idea of mathematics algorithm in compulsory education. In the part of algorithm overview, the main content is the definition of algorithm concept, the analysis of algorithm characteristics, the elements and description of algorithm, the connotation of algorithm idea, and the requirements of algorithm part of "Senior Mathematics Curriculum Standard (experiment)". The algorithm is summarized to lay a theoretical foundation for the study of the algorithm idea of the next module. In the part of textbook analysis and teaching design, the main research contents are: (1) algorithm thought and operation; (2) algorithm thought and equation; (3) algorithm thought and function; (4) algorithm thought and geometry; (5) algorithm thought and statistics. The research ideas of each part are as follows: firstly, the representative and educational teaching content is selected; then, the algorithm design and description of the selected teaching content are carried out; finally, the algorithmic teaching case development design is carried out. In the teaching implementation suggestion part, through the above research to the compulsory education mathematics algorithm thought, puts forward the teaching implementation suggestion to the compulsory education algorithm thought, suggests the teacher pays attention to the permeable teaching, the algorithmic teaching, the algorithm and the calculation principle, Encourage the diversity of algorithms and emphasize the combination of algorithms and information technology. In the part of research summary and prospect, the author summarizes the arithmetic ideas contained in the mathematics teaching materials and teaching of compulsory education, and looks forward to the further research on the mathematics arithmetic thought of compulsory education.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
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