基于核心素养的东亚三地高中函数比较研究

发布时间：2018-07-10 03:10

本文选题：核心素养 + 高中课标　；参考：《集美大学》2017年硕士论文

【摘要】：数学核心素养是数学教育研究近几年来的一大热点。核心素养是学生将所学到的数学知识合理地运用到社会和个人生活当中。如何提升学生的数学核心素养,是当今广大教育工作者努力探索的目标。为更好落实核心素养,深入研究具有儒家文化背景的东亚三地的教材所体现的核心素养差异,为培养核心素养提供有益借鉴和参考,以核心素养作为研究的切入点,选取中国大陆、中国台湾及新加坡三地高中数学课标及教科书为研究对象,主要采用文献法、对比分析法等研究法,研究内容为比较三地高中课标和教科书函数部分的核心素养。研究结果表明,第一,从课标比较来看,大陆对六大核心素养要求较为均衡;台湾的素养要求分布波动相对而言比较大,呈现U字型;新加坡六大素养要求上存在差异,较为重视数学运算;三地在数据分析这一核心素养上的要求所占比例都最少。第二,从教材难度来看,函数部分难度排列顺序应是中国大陆、中国台湾和新加坡。第三,在函数的概念中主要体现的核心素养有抽象能力、逻辑推理、数学运算和直观想象,在抽象能力上人教A版占有优势,在直观想象上人教A版并未在教材中很好体现;函数图形变换主要蕴含直观想象和逻辑推理,人教A版在编排上存在着一定不足,没有将其纳入主要内容。根据研究结论,提出对应建议:第一,重视数据分析素养的培养,提高对数据分析的要求。第二,函数的概念在编排时将数形结合等思想更好融入。第三,将函数图形变换编入教材,加强图形计算器等应用技术。
[Abstract]:Mathematics core accomplishment is a hot spot in mathematics education research in recent years. The core accomplishment is that students apply the mathematics knowledge to society and personal life reasonably. How to improve the students' core accomplishment of mathematics is the goal that educators are trying to explore. In order to carry out the core literacy better, the paper deeply studies the differences of the core literacy embodied in the three East Asian teaching materials with Confucian cultural background, and provides useful reference and reference for the cultivation of the core literacy, taking the core literacy as the starting point of the research. In this paper, we choose the Chinese mainland, Taiwan and Singapore as the research objects, mainly using the literature method, comparative analysis method and other research methods. The content of the study is to compare the core literacy of the three senior high school curriculum and textbook function. The results show that, first, from the comparison of curriculum standards, the mainland has relatively balanced requirements for the six core qualities; Taiwan has relatively large fluctuations in the distribution of literacy requirements, showing a U shape; and there are differences in the six major literacy requirements of Singapore. More emphasis on mathematical operations; the three places in the data analysis of this core literacy requirements are the least proportion. Second, in terms of the difficulty of the textbook, the order of the difficulty of the function should be mainland China, Taiwan and Singapore. Thirdly, the core literacy embodied in the concept of function is abstract ability, logical reasoning, mathematical operation and intuitive imagination. The transformation of function graphics mainly contains intuitive imagination and logical reasoning. There are some deficiencies in the arrangement of the "A" edition, which has not been included in the main content. According to the research conclusions, the corresponding suggestions are put forward: first, pay attention to the cultivation of data analysis literacy and improve the requirements for data analysis. Second, the concept of function in the arrangement of the combination of numbers and shapes and other ideas better integrated. Third, the function of graphics transformation into teaching materials, strengthen graphic calculators and other application technology.
【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

【参考文献】