A Teaching Research Of Using GeoGebra To Assist Solving High School Mathematics "Problem With Parameters"

It can be found that with the progress of The Times,our life is increasingly inseparable from science and technology.The development of science and technology makes our life simpler and more efficient,and so does our education.The integration of information technology and education is the general trend,How to better integrate information technology into education is a common problem faced by the majority of educators,and it is also the goal of our joint efforts.In high school mathematics teaching,"the problem with parameters" is one of the most troublesome problems faced by all high school mathematics teachers because of its high abstraction and complexity.In the past traditional teaching,it is difficult for students to intuitively feel the image change process caused by parameter changes,and GeoGebra can effectively solve this pain point.GeoGebra has the characteristics of simple and clear interface,simple operation,easy to use,common to all platforms,etc.The integration of information technology and mathematics teaching is also the general trend.Based on the above reasons,this paper proposes to use GeoGebra to assist in solving the "problem with parameters" in high school mathematics.First of all,this paper sorts out and analyzes the relevant domestic and foreign literatures on high school mathematics " problem with parameters" and "GeoGebra-assisted teaching",and demonstrates the compatibility and teaching advantages of the two.Then,combined with the " problem with parameters " in the college entrance examination in the past six years,and the teaching problems encountered by front-line teachers in the teaching of " problem with parameters ",a " problem with parameters " test paper was prepared for testing.The test paper is graded according to the scoring indicators,and each score corresponds to the second-level indicators of core mathematics literacy,so as to find out the core mathematics literacy that students lack in the learning process of " problem with parameters ".Then,the teaching design is based on the analysis results of these scoring indicators and their corresponding secondary indicators of mathematics core literacy.After a semester of GeoGebra-assisted teaching,the post-test paper of the same difficulty is used to test the posttest of this research.The results,and in the form of a questionnaire to verify the students’ feelings about GeoGebra-assisted teaching.Finally,according to the experimental results,the corresponding teaching suggestions are put forward,and the shortcomings of this research and the prospects for the future are summarized.The results of the study show that:（1）The solution of the "problem with parameters" still needs to be paid more attention.When facing the "problem with parameters",students have a higher rate of loss of points in the aspects of mapping relationship,existence and permanence,and how to reduce it.Core literacy needs to be strengthened.（2）Students are positive about GeoGebra-assisted teaching.GeoGebra assisted teaching effectively enhances students’ interest in mathematics,makes the class process more efficient,helps students to improve their concentration in class to a large extent,and enhances geometric dynamic imagination.Most students also expressed their willingness to use GeoGebra for self-inquiry learning.（3）Based on GeoGebra’s "problem with parameters" auxiliary teaching has achieved a very ideal teaching effect.The improvement of the scores from the pre-test to the post-test shows that the GeoGebra-assisted teaching has indeed effectively helped the senior three students to understand the " problem with parameters" and improve their ability to understand the questions.（4）Studying at GeoGebra facilitates students’ future employment options.The survey also found that GeoGebra-assisted teaching has also opened up ideas for those students who are interested in the computer industry,which is helpful for subsequent professional choices.It should be emphasized that GeoGebra-assisted teaching cannot completely replace traditional teaching.GeoGebra-assisted teaching is used to display the image change process,allowing students to observe under the guidance of teachers.The purpose is to cultivate and improve students’ mathematical abstraction and intuitive imagination.Use algebra to prove the correspondence between images and algebra to help students understand their inner meanings.