Research On The Cultivation Of Junior Middle School Students' Mathematical Space Concept Based On Geogebra

The concept of space is to reproduce and complex process objects in the mind,forming a variety of imaginary ideas.This is an important prerequisite for cultivating people's innovative spirit and one of the important literacy of junior high school mathematics.Mathematics is a highly abstract subject.In order to form a space concept,it is necessary to visually present abstract objects first,let students form the correct spatial representation,and then form the space concept through their own processing and transformation.However,in the traditional teaching of mathematics and geometry,chalk-blackboard is still the main form of teaching,and it is difficult to achieve sufficient visual presentation,resulting in the students' spatial concept level being always at a low level.The traditional teaching model is far from meeting the students' learning needs and ability training.The integration of information technology and disciplines is the general trend.Geogebra teaching software uses its powerful geometric intuitive advantages to intuitively abstract abstract static geometric figures in a dynamic form.Presented to students,breaking through the problems in traditional classrooms,stimulating students 'interest and enthusiasm for learning,and cultivating students' concept of space.This paper consists of the following four parts:The first part is theoretical research,including Chapter 1,Chapter 2 and Chapter 3.Describe the research background,research purpose and significance,research content and methods,research ideas and framework of this topic through the analysis of related literature,mainly from the importance and difficulties of solid geometry in mathematics learning,and the study of space concepts The three categories of literature on the application of mathematical space concept teaching supported by Geogebra are summarized to provide a certain reference for this research.Explain the definition of core concepts and the enlightenment of constructivist learning theory,learning transfer theory,and Polya's mathematics teaching theory to this research.The second part is the status quo survey,including Chapter 4.Mainly investigate the status quo of students' space concept cultivation.The research used questionnaire surveys and examination papers to investigate the current status of the four abilities(symmetry,rotation,direction and position,three views and unfolded views)shown in the students 'space concept,and to understand the students' space concept level for the subsequent research.Provide support for practice.The third part is the main body,including Chapter 5,Chapter 6 and Chapter 7.Based on current situation analysis and theoretical support,the research first designed and constructed a teaching strategy design that uses Geogebra to cultivate students 'space concepts,and then applied this strategy to carry out practical teaching activities in classroom teaching.By observing and testing students' space concept learning,the strategy was tested in practice.The effectiveness.The whole research process adopts the experimental method,selects experimental classes and control classes,designs and implements experimental research programs,and analyzes the effect of improving students' spatial perception ability by means of interview surveys,differences in student test results before and after the experiment,and student work analysis.The fourth part is the conclusion and reflection,including the eighth chapter.Summarize the final conclusion of this study and point out the limitations in the experimental research,and make prospects for further research in the future.Through practice,the conclusions drawn by this study are:First,students 'space concept has a larger room for improvement.Geogebra can effectively enhance students' interest and motivation in learning.Second,establish a teaching strategy based on Geogebra's junior middle school mathematics teaching to cultivate students' spatial concepts,including eight links,namely:(1)create scenarios;(2)problem;(3)cooperation exploration;(4)draw sketches;(5)validate sketches;(7)Consolidate and improve;(8)Summarize.Third,based on Geogebra's junior high school mathematics teaching,it can effectively train students' spatial concept.Applying Geogebra to geometry teaching allows students to have greater abilities in the four concepts of symmetry,rotation,direction and position,three views and unfolding.Promote.