First, the implementation of the basic principles of mathematics project teaching
1. It embodies the student-oriented concept, strengthens the function of mathematics teaching serving the study of specialized courses, and embodies the concept of hierarchical teaching and gradual progress.
2. According to foreign advanced educational concepts such as multiple intelligences, adopting "project modular teaching" can design different knowledge modules to adapt to different levels of students, which embodies the characteristics of hierarchical teaching.
Second, the "three intuitive" project teaching implementation process
Automobile major should pay more attention to the cultivation of spatial imagination, so it should focus on the explanation of solid geometry and analytic geometry. Since the first semester of 2004, the mathematics teaching and research group of our school has taken the automobile major as a pilot, organized its own teaching content (different from that of other majors), and flexibly selected different teaching materials to explain the specific needs of the automobile major. Until last year, the focus of teaching has been to explain the contents of three views and straight views of space geometry, which is closer to mechanical drawing for automobile and numerical control majors, and to cultivate students' spatial imagination ability, drawing ability, surface area and volume calculation ability.
1. The best way for students to really master knowledge points is to let students know what they want to master first, and then study with questions and goals. Before the explanation of "Three Views", let's introduce the real pictures of cars and give their real three views, so that students can clearly understand the content and importance to learn.
2. After explaining the structure of space geometry, before explaining the three views and straight views of space geometry, a lot of related contents about the expansion diagram of space geometry are interspersed, and a lot of real-life examples are used to demonstrate and explain it.
Ask students to choose a specific object from real life in their spare time, draw its development diagram, and make its model according to examples.
In class, let students show their works and explain their ideas. Other students will evaluate each other. Finally, as a special guide, the teacher summarized the students' geometric design, creativity and speeches, and took the results of everyone's selection as their usual grades. In the end, it not only allows students to experience the modern mathematical concept that graphics come from and serve life, but also cultivates students' ability to explore, communicate and learn to learn. At the same time, it is also an attempt of interdisciplinary comprehensive learning.
3. Ask students to use newly acquired knowledge and skills to solve practical problems that they have never encountered before.
Math experiment: Make a jigsaw puzzle with six identical squares on paper, and consider whether the figures you spell can be folded into a cube. At the same time, explore how many kinds of this figure can be folded into a cube. 4. In the process of explaining "Three Views and Straight Views of Space Geometry", no matter the selection of examples or the requirements of knowledge points, we should strive to be close to the characteristics of automobile specialty and really serve the professional course learning.
5. In the performance appraisal, combine the teaching of theoretical knowledge and practical skills. It is an attempt to make a geometric model as a mid-term exam by using the learned solid geometry knowledge for the class of automobile major in Grade 06. The content is to make real-time geometric models in groups, one week before the exam (4 people in each group). During the exam, the group can work together, can't talk, can't borrow stationery and other tools from each other. (Attached below are the sample questions for the mid-term exam of Class 06 automobile major.)
Mathematical Practice Course (Solid Geometry) Evaluation Test D Volume
First, carefully observe the objects in daily life, draw three views and front views of a cuboid (3cm long, 2cm wide and 3cm high), and experience the application of geometry in real life (30 points).
1. Three views: 2. View directly:
Two, the production of three-dimensional geometric model (70 points)
1. Make geometric models of hexagonal cones and cylinders with cardboard, glue or double-sided tape. (Be careful not to staple with a stapler)
2. Choose your own scale to make three views of the last two 3D models (scale:).
3. Measure and calculate according to the manufactured model.
At the exam site, students will decide the tasks completed by their own group by drawing lots, thus avoiding the speculation of operation.
Through this modular teaching method, the knowledge points such as the nature of mathematics and formulas are reflected through concrete physical production, so that mathematics comes from life and serves life, and the teaching from life makes students feel the joy of learning. Let the students study in groups of four, and ask each group member to give full play to their respective advantages for the same learning goal, and experience the success and pleasure brought to the students by cooperative inquiry.
Third, some understanding of mathematics project teaching
1. On the basis of emphasizing students' knowledge and experience, the mathematics "project teaching" mode allows most students to actively participate in group discussions in mathematics classes and solve real projects from life. This teaching mode guides students to carry out activities such as observation, independent inquiry, cooperation and communication, so that students can gain an understanding of mathematics and make progress and development in many aspects such as thinking ability, emotional attitude and values.
2. Understanding students' cognitive law is "practice-cognition-practice-cognition". When reorganizing teaching materials and selecting teaching contents, teachers should make the structure of knowledge conform to the cognitive structure of students, that is, show the whole structure (backbone) of knowledge to students as soon as possible.
3. "Project teaching" mode Because the compilation of teaching materials is a systematic work, it is difficult to rely on teachers to fight alone, and we must rely on the collective strength and wisdom and division of labor and cooperation.
4. Project teaching method is a teaching activity carried out by teachers and students through implementing a complete "project" work. In vocational education, a project refers to the task of producing a specific product with practical application value, which should meet the following conditions:
① Working process can be used to learn certain teaching contents, which has certain application value;
② Ability to combine theoretical knowledge and practical skills of a certain teaching topic;
③ It is directly related to the actual production process or actual business activities of the enterprise;
(4) Students have the opportunity to plan independently, and can organize and arrange their own learning behavior within a certain time range;
(5) There are clear and concrete results to show;
⑥ Students themselves overcome and deal with the difficulties and problems in project work;
⑦ Difficulty is not only the application of existing knowledge and skills, but also requires students to use newly learned knowledge and skills to solve practical problems that they have never encountered before;
At the end of the study, teachers and students * * * evaluate the project work results and work learning methods together.
5. In the lecture entitled "Carrying out Task Analysis, Constructing Project Courses and Implementing Project Teaching", Mr. Du of Guangzhou Teaching and Research Section said that project teaching may not meet all the above conditions, but at least it must meet three characteristics:
① Students have the opportunity to plan and work independently, and can organize and arrange their own learning behavior and deal with the problems in the project themselves within a certain period of time;