信息技术环境下高中生数学问题发现的教学研究

发布时间：2018-01-07 23:31

本文关键词：信息技术环境下高中生数学问题发现的教学研究　出处：《福建师范大学》2016年硕士论文　论文类型：学位论文

【摘要】：近年来,“问题提出”继“问题解决”之后,成为数学教育改革的核心主题.“问题发现”学习有利于培养学习个体的数学抽象、数学建模、逻辑推理、直观想象等数学素养.许多国家在其有关学生数学核心能力的研究项目中,还将“问题提出”纳入评价框架之中.2015年高中数学课程标准修订,其中一个重大变化就是将“从数学的角度发现和提出问题的能力”明确列入课程总目标.而在教与学领域,“问题发现”也被视为一种有效的教学手段和学习方式.在数学学习过程中相对于问题解决,问题发现或许更具备挑战,而信息技术的介入在某种程度上使得发现过程有迹可循,起到完善学生的问题发现认知过程的作用.本文第一部分,阐述了研究的缘由和理论基础.在此基础上提出了本文的研究课题：信息技术环境下数学问题发现的教学研究,其目的是探索中学数学课堂教学中问题发现的规律,使得学生形成问题意识、借助信息技术能有“计划”地去发现数学问题.本文第二部分,是在信息技术作用下如何完善学生数学问题发现认知过程的教学探究.首先,深入分析了学生发现数学问题的认知过程以及信息技术、情境设置在学生数学问题发现过程中所起的作用；其次,选择了三种适合信息技术辅助数学问题发现的情境(物理性情境、操作性情境和变式性情境),并探索在这三种情境下应用信息技术进行认知操作以发现数学问题的策略；最后提出了相应情境下数学问题发现过程的模型.本文第三部分,是将上述理论研究的成果在实际教学中予以检验的实践研究.已验证研究成果的正确性、可行性.
[Abstract]:In recent years, the "problem" after "problem solving", become the core topic of mathematics education reform. "The problem that" learning is conducive to the cultivation of individual learning of mathematical abstraction, mathematical modeling, logic reasoning, intuitive imagination, mathematical literacy. In many countries the students mathematical core competence research project, also "question" will be incorporated into the revised evaluation framework of.2015 years of high school mathematics curriculum standards, one major change is that "from the angle of mathematics discovery and ability" questions are explicitly included in the overall goal of the course. In the areas of teaching and learning, "discovery" is regarded as an effective means of teaching and way of learning. In the process of mathematics learning to solve the problem, may have more problems and challenges, the intervention of information technology in a way that is traceable to the discovery process, to improve the learning The problem of finding the cognitive process. In the first part of this paper, elaborates the research reasons and theoretical basis. This is the basis of this study: the study found that teaching math problems under the environment of information technology, its purpose is to explore the problem found in law asked in middle school mathematics classroom teaching, make students form the awareness of the problem. The use of information technology can have a "plan" to discover mathematical problems. The second part of this article is how to improve the students' Mathematics Problem Inquiry Teaching in that the cognitive process under the action of information technology. First, in-depth analysis of the students found that the cognitive process of mathematical problems and information technology, the situational discoveries play a role in the process of students math problems; secondly, choose three kinds of problems of information technology assisted mathematics discovery context (physical situation, operation situation and the change of situation, and Exploration) Cable application of information technology in these three situations to find mathematical problems of cognitive operation strategy; finally put forward the corresponding mathematical problems under the context of discovery process model. The third part is the practice research of theory research in the practical teaching to be examined. To verify the correctness and feasibility of the research results.

【学位授予单位】：福建师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6;G434

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