Research And Practice Of High School Space Vector Teaching Assisted By Geogebra

In mathematical education,spatial vectors are a very important concept that has extensive applications in various fields such as geometry,algebra,and physics.As the content of space vector teaching changes and the audience of students expands,the teaching of space vectors becomes more important.The development of information technology,especially the emergence of software such as Geogebra,has brought new teaching methods to spatial vector education,which has enormous potential.This study aims to investigate the current status of spatial vector education and examine the effectiveness of Geogebra in high school mathematics spatial vector education.Firstly,this study reviews the current status of spatial vector education,including research trends,learning difficulties,and teaching strategies.It also examines the current status of Geogebra-assisted mathematics education in China and abroad,including research trends and application cases.Secondly,teacher interviews and student surveys were conducted to identify learning difficulties and teaching practices.Thirdly,the study investigated the application principles and strategies of Geogebra in spatial vector education and developed teaching design and problem-solving cases.Finally,a teaching experiment was conducted.Two high school mathematics classes were selected as the experimental and control groups,respectively.The experimental group used Geogebra software for teaching spatial vectors,while the control group used pictures instead of Geogebra courseware.The survey results showed that students generally have difficulties in learning spatial vectors,including poor understanding of spatial vector concepts,inadequate spatial imagination ability,weak ability to transform between solid geometry problems and spatial vector problems,and weak computational ability.Although teachers did not use Geogebra for teaching,they all expressed support for Geogebra-assisted spatial vector education,as it is convenient to operate,interactive,and helpful in developing students’ spatial imagination ability.The experimental results showed that Geogebra-assisted high school spatial vector education had better results than traditional teaching methods.The performance of the experimental group was significantly better than that of the control group,and students showed a high level of interest and enthusiasm in using Geogebra software.The use of Geogebra software can effectively enhance students’ understanding of spatial vector concepts,spatial imagination ability,the ability to transform solid geometry into spatial vector problems,the probability of writing point coordinates correctly,comprehensive problem-solving ability,and understanding of spatial vector projection.However,it is difficult to improve students’ spatial vector calculation ability and their ability to transform vector problems into solid geometry problems.In conclusion,the results of this study indicate that Geogebra-assisted high school spatial vector education has great potential and advantages,providing a certain reference and reference for future teaching improvements.