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基于ACT-R理论的高中向量教学实验研究

【作者】 江智如

【导师】 柯跃海;

【作者基本信息】 福建师范大学, 教育硕士(专业学位), 2018, 硕士

【摘要】 2014年9月4日,国务院出台了《关于深化考试招生制度改革的意见》,从国家政策的高度为深化教育考试招生制度改革和建设人力资源强国提供有力保障,由此拉开了新一轮高中课程改革和高中课程标准研制的序幕,同时也提出了数学学科的“核心素养”.向量有着丰富的应用范围,是沟通代数、几何和三角函数的重要工具.但在日常的高中教学过程中,向量的学习呈现出“重代数,轻背景;重运算,轻应用”的现象.ACT-R理论是一个简单的认知理论,走的是一条“把复杂问题简单化”的“数学化”的道路.如何利用ACT-R理论提高高中教师向量教学的有效性;帮助高中学生掌握和应用向量;本文将对此进行研究.首先,本研究采用文献分析法梳理了国内外与ACT-R理论和高中向量教学相关的研究成果,并结合《普通高中数学课程标准(实验)》、《普通高中数学课程标准(征求意见稿)》的相关表述,探索高中向量教学的目标和要求..接着,研究采用访谈法和问卷调查法对高中教师和学生实施调查,了解高中向量教学的现状.通过调查得出:(1)当前课标课程下的向量课程内容的设置不合理,不利于高中学生对向量的理解与掌握.(2)教师的教学能力与方法对高中学生向量概念的理解产生不利的影响,制约了向量教学目标的实现.(3)高中学生的学习习惯和自身因素对向量学习产生不利的影响,忽视对向量几何背景的理解与掌握.最后,结合上述调查的结果,本文基于ACT-R理论,就如何提高高中向量教学的有效性提出相关的教学策略,并辅之案例进行说明.

【Abstract】 On September 4,2014,the State Council promulgated the "opinions on deepening the reform of the examination and enrollment system" from the height of the national policy to deepen the reform of the system of examination and enrollment system reform and construction of human resources to provide a strong guarantee,which opened a new round of the senior high school curriculum reform and the development of the senior high school curriculum standards,and this has decided to raise the student’s "core literacy" as the guiding ideology.Vector is the important tool of communication algebra,geometry and trigonometry,extensive practical background.But in the actual the senior high school teaching process,it presents a phenomenon that "heavy algebra,light background;heavy computing,light applications." ACT-R theory is a simple cognitive theory,and it is a "mathematical" road that simplify complex problems.So how to improve the effectiveness of the teaching of the senior high school teachers in the teaching of vector,how to help the senior high school students to master and apply the vector,these problems will be studied and discussed in this paper.First of all,this study adopts the method of literature analysis reviews the domestic and foreign research achievements related to the theory of ACT-R and the senior high school teaching vector,and combined with the relevant statements in "Ordinary high school mathematics curriculum standard(Experiment)”,"Ordinary high school mathematics curriculum standard(Draft for comment)",to explore the senior high school vector teaching objectives and requirements.The second,the study adopts interview and questionnaire survey on the implementation of the senior high school teachers of different school and students conducted a questionnaire survey,to understand the status quo of the senior high school teaching vector.Through the investigation,we draw results:(1)At present,the curriculum content of the vector curriculum is not reasonable,and not conducive to the senior high school students to understand and grasp the vector.(2)Teachers’ teaching ability and methods have a negative impact on the senior high school students’ understanding of the concept of vector,which restricts the realization of vector teaching objectives.(3)The senior high school students’ learning habits and learning factors have adverse effects on the neglect of the vector geometry background understanding.Finally,combined with the results of the survey,this paper offer proposals of relevant teaching strategies based on the ACT-R theory,to improve the effectiveness of the teaching in the senior high school vector teaching strategies,and complemented by the case.

【关键词】 向量ACT-R理论教学策略
【Key words】 VectorACT-R TheoryTeaching-Strategy
  • 【网络出版投稿人】 福建师范大学
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