Research On The Application Of GeoGebra In High School Vector Teaching

With the continuous development of education informatization,the use of teaching software to assist teaching has become the trend of mathematics teaching in the future.As a free and open-source dynamic mathematics teaching software,GeoGebra can present multiple representation forms of mathematics learning objects at the same time,promote the understanding of mathematics learning objects,and stimulate students’ interest in learning mathematics;as a bridge to communicate algebra and geometry,vector is a high school One of the important contents of mathematics.Under the traditional teaching method,the teaching of high school vector has the phenomenon of single teaching method,emphasis on algebra,and underestimation of geometry.Therefore,in order to enrich the teaching methods of vector content and study the application of GeoGebra in high school vector teaching,the problems that need to be solved are:(1)Based on the mathematics teaching theory,how to use GeoGebra to make vector content integral ware and apply it to high school vector teaching?(2)Can the application of GeoGebra to high school vector teaching stimulate students’ interest in learning? And can it improve students’ mathematics performance in learning vector content?And for students at different levels,is there a significant difference in their mathematics performance?Aiming at the above research questions,first of all,the literature analysis method is used to consult and analyze the relevant literature,to clarify the research questions and research ideas,and to sort out and select the mathematical multiple representation theory,the principle of visual teaching,and the cognitive load theory as the theoretical basis of this research.Secondly,according to the theoretical basis,use GeoGebra as a platform to make teaching integral ware of plane vector and space vector,and make teaching cases of integral ware;adopt quasi-experimental design,conduct independent sample t test of pre-test data through SPSS.25,and select mathematics scores Two classes with no significant difference in level carried out a control experiment;the integrated ware auxiliary vector teaching made by GeoGebra was used in the experimental class,and GeoGebra was not used in the control class;the results of three consecutive weekly exams were used as the process test results and the vector content monthly The test results are the post-test results,and the overall test scores of the two classes and whether there are significant differences in the mathematics scores of students at different levels are investigated,and the size of the effect of the difference is analyzed.Finally,students at different levels were randomly selected from the experimental class to conduct interviews on the three dimensions of the use of GeoGebra on students’ interest in learning,the impact of learning outcomes,and students’ attitudes towards teachers using GeoGebra software.The results of the control experiment and the interview showed:(1)There were significant differences in the process grades of the two classes for three consecutive times;(2)The post-test scores of the two classes are significantly different(Sig=0.011<0.05),and the effect size of the difference is 0.073;(3)According to the pre-test scores from high to low,the students were divided into the excellent group,the middle group and the poor group.Only the students in the excellent group had significant differences in the post-test scores.In addition,through the paired sample t-test,it was found that the test scores before and after the experimental class had a significant difference(Sig=0.000<0.05),while the test scores before and after the control class had no significant difference(Sig=0.127>0.05).Students have a positive attitude towards using GeoGebra to assist teaching,and hope to continue using the software in teaching,and students think that GeoGebra can visualize abstract knowledge,make mathematics easy to understand,and help improve learning interest.Therefore,applying GeoGebra to high school vector teaching can stimulate students’ interest in learning and help improve the learning performance of this content.According to the research conclusions,the following suggestions are put forward for teachers to use GeoGebra software to assist vector teaching:(1)Grasp the algebraic geometry characteristics of vectors to highlight the essence;(2)Encourage students to use GeoGebra to explore independently;(3)Strengthen mathematics teachers’ mastery of GeoGebra;(4)Reasonable use of GeoGebra into teaching.