| In recent years,under the general environment of China’s basic education reform education informatization has become a new driving force to promote the development of China’s education,and the development of dynamic application software has a profound impact on the integration of informatization and curriculum education.The reasonable useage of informatization teaching tools in mathematics classroom can not only effectively enhance classroom efficiency and intuitively present abstract and difficult knowledge visually but also improve teachers’ teaching methods cultivate students’ comprehensive mathematical literacy,and enhance students’ inquiry ability.Based on the APOS theory this study explores the effectiveness of the Network Sketchpad to assist in the design of graphs and properties of inverse proportional functions.The specific research questions include:(1)Based on the APOS theory the Network Sketchpad is used as a teaching tool to design the teaching of graphs and properties of inverse proportional functions;(2)Apply the instructional design to the actual teaching,and explore whether the teaching mode of the Network Sketchpad has better teaching effect than the traditional teaching mode.This study mainly adopts literature research method,questionnaire survey method,interview method,experimental analysis method and statistical analysis method.Firstly,the author reviewed the relevant literature to sort out the existing research.Secondly,the functions and characteristics of the Network Sketchpad are studied,and the web drawing board is compared and analyzed with Hawgent and Geo Gebra to summarise the advantages of the web drawing board and put forward the teaching principles of the web drawing board to assist the teaching of inverse proportional functions.Then,based on the background and teaching principles of the Network Sketchpad,under the theoretical guidance of APOS,the teaching case of Graphs and Properties of Inverse Proportional Function is designed,the four-stage teaching process is constructed,namely:operation stage,process stage,object stage,and schema stage,and the teaching evaluation is carried out.Eventually,on the basis of this instructional design,the experimental analysis method was used to design teaching experiments for practice,and the students’ test scores were analyzed by statistical analysis,and the post-lesson feelings of students and teachers were understood through questionnaires and interviews.The results of this study show that the web-based drawing board aids the teaching of inverse proportional functions in a more effective way than the traditional teaching model,and can be promoted and applied in middle school mathematics classroom teaching.From the student level,web-based drawing board to assist teaching can stimulate students’ interest in learning about inverse proportional functions,improve students’ learning efficiency,and cultivate students’ independent inquiry ability.From the teacher level,the teaching of inverse proportional functions aided by the web-based drawing board can enhance teachers’ information-based teaching and,in turn,their professionalism. |