Teaching Practices For Developing Intuitive Imagination Literacy In High School Students Based On GeoGebra

With the development of the times,the concept of education informatization is constantly updated,and the integration and innovation of information technology and education teaching has become an urgent need of the times.In such a context,it is necessary for educators to put forward higher requirements for themselves,to constantly update the concept of educational informatization,to better apply information technology in classroom teaching in their teaching work,to improve teaching efficiency and to cultivate students’ core literacy.As one of the six core literacies in mathematics,the combination of information technology and intuitive imagination is an essential element in high school mathematics teaching.GeoGebra,as a software combining algebra and geometry,has the features of powerful,simple operation,synchronous change of numbers and shapes,and open source and free,which can provide technical support for classroom teaching very well.Therefore,this paper is based on GeoGebra for the teaching practice of developing intuitive imagination literacy of high school students,and the main work is as follows.Firstly,questionnaires and level tests were conducted to understand students’ learning habits,their views on teachers’ application of IT teaching and their evaluation of their own intuitive imagination ability,and the level of students’ intuitive imagination literacy was understood through the level tests.Then we interviewed teachers to understand the current situation of using information technology in teaching,the problems encountered in developing students’ intuitive imagination literacy,and teachers’ views and suggestions on using information technology to develop students’ intuitive imagination literacy.The results of the survey and interviews showed that: students think it is difficult to apply intuitive imagination skills;students’ level of intuitive imagination literacy is low;the degree of integration of information technology with teaching is low;and teachers think it is difficult to improve students’ intuitive imagination literacy.Based on the results of student surveys and teacher interviews,combined with the functional characteristics of GeoGebra and relevant theoretical bases,the author proposes a teaching strategy and teaching model for developing intuitive imagination based on GeoGebra.The strategy contains four aspects:(1)creating problem situations and focusing on process development;(2)improving graphical skills and strengthening graphical representations;(3)combining motion and motion to understand the essence of concepts;(4)converting numbers and shapes to each other and cultivating mathematical thinking.The model contains four levels: actual situation → mathematical problem → mathematical law → conclusion,forming three times intuitive and in the form of progressive layers.Finally,teaching experiments were conducted to test the effectiveness and feasibility of the teaching strategies and models through controlled experiments.Two classes with no significant difference in performance were selected for the control experiment.In the experimental class,based on the teaching strategy and teaching model,GeoGebra was incorporated in the process of concept explanation,thinking and investigation,example problem analysis and homework evaluation,etc.,while the same content was taught in the control class by traditional teaching methods.At the end of the experiment,the two classes were tested,and according to the comparative analysis of the results,it was concluded that GeoGebra could improve students’ knowledge and skills level,problem solving level and comprehensive development level,and effectively develop students’ intuitive imagination literacy.Through the application of GeoGebra in teaching,students can abstract geometric figures from actual problem situations and develop the habit of using figures to solve problems;discover mathematical patterns with the help of observation of figures and establish the connection between "numbers" and "shapes";use figures to describe mathematical problems and understand concepts.Students can use graphs to describe mathematical problems,understand the essence of concepts,think about solutions,improve their spatial imagination and geometric intuition,and enhance their intuitive imagination literacy.