1, improve students' thinking ability
Using information technology can improve students' thinking ability and classroom teaching efficiency. Students can use "Geometry Sketchpad" and other software to explore their own mathematics. Use the network to collect the background and mathematical culture of mathematics curriculum-related knowledge; Establish an intuitive mathematical model by computer, etc. For example, using the "Geometry Sketchpad" courseware, students can see the continuous change process of function images as long as they drag with the mouse and change any value.
2. Show the thinking process of mathematics.
Mathematics is different from other disciplines and has certain knowledge consistency: the former chapter is closely related to the latter chapter and different modules, and the learning effect of the former chapter directly affects the teaching of the latter chapter. At the same time, mathematics is a highly abstract subject: abstract concepts, scientific and concise language, rigorous logical system and profound mathematical ideas and methods all make it difficult for a considerable number of students to understand mathematics. Information technology can be used to show students the mathematical thinking process in a gradual and slow way.
Visualizing mathematical thinking is very beneficial for students to learn and understand the process of mathematical thinking, thus improving the efficiency of classroom teaching.
3. Using modern information technology to realize mathematical experiments.
Mathematical education needs mathematical experiments and mathematical conjectures. In mathematical experiments, we can observe, analyze, compare and summarize, establish quantitative relations, process data and discover laws. Modern information technology provides the possibility for mathematical experiments.
4. Conveniently realize various representations of mathematical objects.
Computer technology can make mathematical concepts, theories and problems easily expressed by numbers, figures, symbols and languages. Students can freely switch between these expressions. They can not only use the data processing and analysis function, drawing function and visual dynamic display effect of computers or calculators, but also explore mathematics through graphic method or numerical method.
5. Using modern information technology, the teaching mode can be changed from teachers' teaching to students' independent inquiry, group study and discussion, so that students can draw conclusions through their own activities.
6. Using the powerful data processing ability of the computer, we can quickly switch and choose the teaching content and design more teaching methods to meet the needs of students.
7. Using information technology to distinguish the essence of problems and understand mathematical concepts; Break through difficulties and inspire students' thinking. Using computer to identify and discriminate easily confused mathematical concepts will become clearer and help students distinguish and correctly understand and recognize them. For example, power function and exponential function are easily confused for beginners. Courseware can be used to demonstrate and compare, dynamically show the characteristics of function values changing with independent variables, highlight the fundamental differences between them, and let students easily sort out their differences and connections.