A Study On Developing Prospective Mathematics Teachers' Knowledge Of Instructional Representations In A Geogebra Environment

Subject teaching knowledge of integrated technology is the basis for teachers to use technology for effective teaching,and the teaching representation knowledge of integrated technology is an important part of the subject teaching knowledge of integrated technology.Therefore,it is very important to study the teaching representation knowledge of integrated technology of normal students.In order to explore the way of teaching representation knowledge development of effective integration technology,the researchers conducted a week-long teaching training of integration technology for a group of mathematics normal students,and put forward the following questions:(1)by participating in the teaching and training in the environment of GeoGebra,What's the change of the knowledge about the teaching and characterization of the whole-in-the-art of the mathematics normal students?(2)What is the development way of educating and representing knowledge of effective mathematics normal students' whole-in-the-art technology?On the basis of reading the relevant literature such as GeoGebra,the knowledge of teaching representation,the theory of TPACK and the theory of cognitive load,the researchers defined the connotation of teaching representation knowledge of integrated technology,andconstructed the teaching representation knowledge analysis framework of integrated technology for normal students.A total of 24 students(4 males and 20 females)participated in the teaching training of integrated technology.After the teaching training,the researchers chose the subject of simulated classroom teaching at the same,and the teaching process of integrated technology was more than half of the total teaching time.The study found that the teaching representation knowledge of the integrated technology of P1,P2 and P3 of the three normal mathematics students who participated in the training changed obviously:(1)After one week's teaching training,the three normal mathematics students P1,P2 and P3 can fully and accurately analyze the integration point of information technology in the teaching content,select the appropriate teaching content to carry on the teaching design,and use the dynamic mathematics software GeoGebra,follow certain design idea,better realize the integration depth of information technology and mathematics teaching.Three mathematics normal students P 1,P 2 and P 3 address the issue of choosing teaching representation type.The total number of representations has increased significantly,and the teaching representations needed for teaching can be selected smoothly and flexibly.Normal students P1 and P3 developed from multivariate association characterization level to transform expansion characterization level;Normal students P2 developed from multivariate independent characterization level to transform expansion characterization level;(4)Teaching characterization accuracy of normal students improved dramatically.Normal students P1,P2 and P3 have many representation errors or formalization before training,but after training,the basic representation is accurate,there is no obvious representation error or representation formalization.Visible,teaching and training of integration technology can effectively develop the knowledge of teaching representation of mathematics normal school students.Throughout the main events of the whole teaching and training,the effective development way of the teaching representation knowledge of mathematics normal school students is to study the course of mathematics education technology,to carry out the activity of "isomerism in the same course",to observe the classroom teaching video and to carry on the teaching design research.