基于RMI原则的高中函数问题解决教学研究

发布时间：2019-06-14 03:10

【摘要】：新课程理念倡导数学素养的提升,体现在教学中不仅要注重知识的教学,还要注重数学思想方法的教学.函数是高中数学教学的核心知识点,与其他数学知识间有着密切的联系,并且在实际中有着重要的应用.本研究在RMI原则的指导下,能够更容易揭示函数知识与其它数学知识间的联系,也为函数模型的应用提供映射手段.所以本研究致力于运用RMI原则分析函数与其他高中数学知识的内在联系,分析实际问题到函数模型建构的过程和特点,为努力提升学生的思维品质探索教学途径.本研究主要包括七章:第一章主要对本课题提出的缘由进行了阐述;第二章主要是RMI原则、函数问题解决两方面的研究综述;第三章包括RMI原则含义的阐述、RMI原则本质的分析,RMI原则教学价值的挖掘;第四章是调查研究部分,包括对教师的访谈和对学生的问卷调查;第五章、第六章是本研究的重点章节,主要分析了在RMI原则的指导下如何建立函数与其他数学知识间的联系、函数与实际问题间的联系,并列举函数、方程、不等式间转化的实例与函数模型应用的实例来解释RMI原则在教学中的运用;第七章是通过对RMI原则的认识、调查结果分析及教学研究给出的教学建议,主要有如下几点:(1)基于RMI原则的函数与其他知识间问题解决教学策略:突出转化思想教学,构建不同知识间的联系;突出常用映射途径教学,把握数学知识本质;突出多角度转化,培养思维的灵活性;突出常用映射工具教学,提高问题解决效率.(2)基于RMI原则提升学生数学函数模型应用能力的策略:有效地分析目标原像,提升学生对实际问题的理解能力;搭建映射桥梁,系统训练学生对数学知识的运用能力;选择合适的目标映像,提升学生的函数模型的求解能力;反演回归实际,养成学生将数学结论反演回实际检验的习惯.
[Abstract]:The new curriculum concept advocates the improvement of mathematical literacy, which is reflected in the teaching of not only knowledge, but also mathematical thought and method. Function is the core knowledge point of mathematics teaching in senior high school, which is closely related to other mathematical knowledge, and has important application in practice. Under the guidance of RMI principle, this study can more easily reveal the relationship between function knowledge and other mathematical knowledge, and also provides a mapping method for the application of function model. Therefore, this study is devoted to using RMI principle to analyze the internal relationship between function and other senior high school mathematics knowledge, analyze the process and characteristics of practical problems to function model construction, and explore teaching ways to improve students' thinking quality. This study mainly includes seven chapters: the first chapter mainly expounds the reasons of this topic; the second chapter is mainly the RMI principle, the function problem solving two aspects of the research summary; the third chapter includes the RMI principle meaning, the RMI principle essence analysis, the RMI principle teaching value mining; the fourth chapter is the investigation research part, including the teacher interview and the student questionnaire survey, the third chapter includes the RMI principle meaning, the RMI principle essence analysis, the RMI principle teaching value mining, the fourth chapter is the investigation research part, including the teacher interview and the student questionnaire survey; The fifth chapter, the sixth chapter is the key chapter of this study, mainly analyzes how to establish the relationship between function and other mathematical knowledge, the relationship between function and practical problems under the guidance of RMI principle, and enumerates the examples of transformation between function, equation, inequality and the application of function model to explain the application of RMI principle in teaching. The seventh chapter is through the understanding of RMI principle, the analysis of survey results and the teaching research gives the following teaching suggestions: (1) the function based on RMI principle and other knowledge problem-solving teaching strategies: highlight the transformation of ideological teaching, construct the relationship between different knowledge; highlight the common mapping approach teaching, grasp the essence of mathematical knowledge; highlight the multi-angle transformation, cultivate the flexibility of thinking; Highlight the teaching of common mapping tools to improve the efficiency of problem solving. (2) the strategy of improving the application ability of students' mathematical function model based on RMI principle: effectively analyzing the original image of the target and improving the students' ability to understand the practical problems; building the mapping bridge to systematically train the students' ability to use mathematical knowledge; selecting the appropriate target image to improve the solving ability of the students' function model; Reverse return to reality, develop the habit of students to reverse mathematical conclusions back to the actual test.
【学位授予单位】：江西师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

【相似文献】