Graduation thesis defense is an activity in which the defense teacher and the students who write the graduation thesis face to face, and the defense teacher asks questions related to the thesis for the students to answer face to face. The following is an educational professional paper I collected for you to defend myself from Chen Fanwen, hoping to help you.

Dear teachers and students:

Hello everyone! My thesis is entitled "Exploration on the Teaching Practice of Space Vector of Solid Geometry in Senior High School", which was completed under the guidance of Professor xx.

Here, I am very grateful to him for his long-term careful guidance and great help, and also thank all the judges for reviewing my paper and participating in this defense.

First, the reason and purpose of the topic selection

Introducing vectors into middle school mathematics textbooks is a major feature of teaching reform at home and abroad in recent decades. Introducing space vector into solid geometry is one of the key points of mathematics curriculum reform. It is a concept with dual identities of geometry and algebra, and has a particularly wide educational value. Using it to solve some solid geometry problems can greatly reduce the difficulty, stimulate students' interest in learning and help students get a successful learning experience. The difficulty and focus of our teacher's teaching of space vector lies in: how to use space vector in solid geometry? How to arrange space vectors in solid geometry textbooks? How to correctly handle the relationship between space vectors and traditional methods in solid geometry teaching? How to design the teaching of this part of knowledge to help students better understand this part? To this end, I have carried out the practical exploration of space vector teaching of solid geometry in senior high school.

Second, the preparation of data collection

After selecting the topic, combined with my own teaching practice, I read a series of procedures, such as reading materials, drafting an outline, questionnaire survey and analysis, writing the first draft of the opening report, finalizing it, drafting the master's thesis, and revising it, and finally finalized it in March.

Third, the structure of the paper.

Starting from the necessity of introducing space vector into senior high school mathematics, this paper studies the basic knowledge of space vector and its application in senior high school solid geometry, and makes teaching analysis on the space vector of solid geometry in senior high school textbooks. This study mainly adopts the methods of literature analysis, questionnaire survey and action research, taking the math teachers in Lu Xian No.2 Middle School and the students in 27 classes in Senior Two as samples, focusing on the influence of space vectors on the teaching and learning of solid geometry.

The full text is divided into seven parts, about 47,000 words:

The first part is the introduction.

The background and practical significance of this study are expounded. Through literature review and research, we can understand the situation of introducing space vectors into the teaching and research frontier of solid geometry at home and abroad. So as to define the core concept, choose the research vision and methods, and establish the design and core viewpoint of this study.

The second part is the necessity of space vector entering the teaching of solid geometry in senior high school.

Based on two points: the practical significance and far-reaching influence of introducing space vector into high school solid geometry

The third part is the basic knowledge of space vector and the application of space vector in high school solid geometry.

Review the basic knowledge of space vector in high school solid geometry textbooks, including the origin and development of vector, related concepts and expressions of space vector, the basic theorem of space vector, and the establishment of space rectangular coordinate system.

This paper expounds the main application of space vector in senior high school solid geometry: establishing spatial position relationship and solving angle and distance problems, which shows that space vector is a powerful tool to deal with solid geometry problems and is superior to traditional methods.

The fourth part is the research textbook: the teaching analysis of three-dimensional geometric space vector in high school textbooks.

1. Comparative analysis of new and old textbooks of solid geometry in senior high school? Space vector? This part is arranged in the chapter of solid geometry, and then the teaching method of space vector textbook of solid geometry in senior high school is studied.

The fifth part is the investigation and analysis of space vector teaching and learning of solid geometry in senior high school.

In February this year, I conducted a questionnaire survey on the second year of senior high school in our school-a survey on the spatial vectors of students' learning and teachers' teaching.

The purpose of the survey is to understand the current situation of teaching and learning of space vector of solid geometry in ordinary senior high schools and find out the main mistakes made by senior high school students when using space vector to solve solid geometry problems.

Yes: (1) system is unreasonable; (2) the coordinates of the wrong point; (3) No normal vector can be found; (4) unclear thinking; (5) Calculation error, etc. Therefore, they have different degrees of difficulty in establishing systems, finding point coordinates, and finding spatial angles and distances with vectors. Besides, because? Simple vector problem solving? Misleading thoughts and choosing vector method to solve solid geometry problems are also one of the difficulties that students encounter.

At the same time, some teachers are evasive about space vectors.

In short, we should pay attention to the following points in teaching:

(1) The premise for the space vector method to exert its advantages in solving solid geometry problems is to require students to have enough vector knowledge reserves.

(2) In teaching, teachers can't intentionally or unintentionally convey such a wrong message to students that space vectors are omnipotent in solving solid geometry problems.

(3) In teaching, in addition to teaching students the necessary mathematical knowledge, it is more important to teach them some abilities to learn mathematics.

The sixth part is the teaching design, teaching implementation and practical effect analysis of space vector of solid geometry in senior high school.

I made a teaching plan for the space vector of solid geometry in senior high school, explored the teaching methods, designed the teaching process of space vector of solid geometry by heuristic and inquiry learning, and made a teaching design case from the perspective of space vector, and finally analyzed the teaching practice effect.

From the data analysis, it can be concluded that the author's teaching ideas, teaching methods, teaching design and other aspects of solid geometry space vector are quite effective, which can provide help or reference for colleagues engaged in space vector teaching research, which is also the main purpose of this study.

The seventh part is the basic conclusion and suggestion of space vector teaching of solid geometry.

(A) the basic conclusions of the study

It is necessary to introduce space vector into 1. solid geometry, and it needs to be popularized. Teaching is based on the following two points:

The introduction of (1) space vector reduces the learning difficulty of students.

(2) The introduction of space vector reduces the requirements for students' spatial imagination training.

2. The space vector method is obviously superior to the traditional method in the teaching practicability of solid geometry problems, but it can't completely abandon the traditional method and correctly handle the relationship between the traditional method and the space vector method, which are organically combined and complement each other.

(B) Teaching suggestions

1. Pay attention to guiding teaching with new ideas

2. Pay attention to the teaching of vector concept.

3. Pay attention to the teaching of space vector operation.

4. Pay attention to the comparison between space vector method and traditional method.

5. Pay attention to the teaching of vector application.

After writing this paper, I learned a lot of useful things and accumulated a lot of experience. However, due to my limited ability, there are some shortcomings in the expression and demonstration of many contents. Please give me your advice. I will accept and further study and study research and teaching practice with an open mind, which can not only improve and improve my thesis, but also improve my teaching practice.

The above is a brief introduction to my thesis. Please ask your questions. Thank you.

;