手绘草图对高中生解决函数问题能力的影响研究  

A Study on the Influence of Graphing Formulas by Hand on the Ability of Senior High School Students to Solve Function Problems

作　　者：左浩德 张晓晗 ZUO Hao-de;ZHANG Xiao-han(College of Mathematics,Yangzhou University,Jiangsu Yangzhou 225002,China;Zaozhuang No.15 Middle School,Shandong Zaozhuang 277100,China)

机构地区：[1]扬州大学数学科学学学院,江苏扬州225002 [2]枣庄市第十五中学,山东枣庄277100

出　　处：《数学教育学报》2023年第2期5-11,共7页Journal of Mathematics Education

基　　金：江苏省高校哲学社会科学基金项目——江苏省乡村定向师范生与普通师范生职业认同发展的比较研究(2019SJA1798);南京市教育科学“十四五”规划课题——文化适应背景下社交媒体对江苏少数民族高中生数学学习的促进机制研究(LZ/2021/122);扬州大学教改课题——新技术趋势下的职前数学教师专业素养构建(YZUJX2019-18B)。

摘　　要：函数贯穿高中三年数学的学习,图象法又是函数的重要表示法之一.对高三学生手绘草图解决函数问题的现状予以调查,发现相较于非绘图方式,选择手绘草图方式作答的学生人数较少,同时发现学生手绘草图能力与解决函数问题能力存在显著的正相关.进一步个案分析发现:擅长手绘草图的学生更愿意使用推理策略去解决函数问题;手绘草图能力一般者更多选择元策略和识别策略;单一的计算策略的则为手绘草图能力较弱的学生所采用.The concept of function runs through three years of mathematics learning in senior high school,and the image method is one of the important representations of the function.This paper investigates the current situation of graphing formulas by hand to solve function problems of senior three students,and finds that the number of students who choose graphing formulas by hand solving function problems is smaller than that of non-graphing methods.At the same time,it is found that there is a significant positive correlation between students’graphing formulas by hand ability and function problem-solving ability.Further case analysis shows that students with strong ability of graphing formulas by hand are more willing to use reasoning strategies;students with average graphing ability choose more meta-strategies and recognition strategies;students with weak graphing formulas by hand ability tend to use computational strategies.

关 键 词：函数 图象 高中数学 高考数学 手绘草图 

分 类 号：G632[文化科学—教育学]