1. Stimulate students' patriotic enthusiasm with the history of mathematics.
Patriotism education is one of the main tasks of school mental health. In our current mathematics textbooks, there are rich patriotic education materials, which can be used to educate students in a timely and natural way, and will achieve twice the result with half the effort. For example, after guiding students to read some teaching materials such as Some Knowledge about Geometry, China's First Use of Negative Numbers, Pythagoras Theorem, About Pi, Some Studies on Triangle in Ancient China, and Quadratic Equation in Ancient China, we tell students that China has made brilliant achievements in mathematical research and application since ancient times, such as discovering the axiom of ancestors earlier than other countries in the world, and Zu Chongzhi's understanding of Pi. In modern times, Chinese people all over the world are proud of the fruitful achievements of China science. For example, the optimization method pioneered and popularized by Professor Hua, a famous mathematician in China, has been widely used in production and scientific experiments, creating great economic value; Chen Jingrun successfully proved the "(1+2)" theorem in number theory, which is called "Chen Theorem". Chinese-American scientists Yang Zhenning, Li Zhengdao and Wu Jianxiong won the Nobel Prize for their great achievements in science. These true and typical mathematical historical facts can not only stimulate students' strong patriotism and national pride, but also stimulate their enterprising spirit.
2. Use mathematics application teaching to cultivate students' style of integrating theory with practice.
The universality of mathematics application is one of the basic characteristics of mathematics. Strengthening the application connection between mathematics and practice has gradually become people's understanding. This is not only because mathematics application teaching can cultivate students' application consciousness and application ability, but also can be used to educate students' thoughts.
In the introductory class of "Example of Solving Right Triangle" in the third grade geometry, we told the students a fact that as early as 2000 BC, the hero of water control in China? In order to solve the topographic survey problem in water conservancy, Dayu skillfully used the angular relationship of right triangle as the main basis for understanding right triangle, and solved many problems in water conservancy projects. This method is more than 2000 years earlier than the study of western trigonometry. Through this story, students can not only see the wisdom of the ancient people in China, but also deeply feel the practical value of mathematical knowledge and enhance their enthusiasm for learning mathematical application problems. In the future, when teaching the wide application of right triangle knowledge in all aspects, it will further inspire students that mathematical knowledge can truly reflect its practical value only when it is finally combined with practical problems and applied to the solution of practical problems.
When talking about positive and negative numbers, introduce the income and expenditure of individuals or units, the rise and fall of temperature, the rise and fall of rivers and the rise and fall of stocks; The statistics of data can be combined with students' pocket money, school uniform model and age; Talking about equations and inequalities can take business, travel and other issues in life as practical models, so that students can hone and improve their mathematical thinking in familiar environments. In addition, in order to deepen students' understanding of classroom teaching content and improve students' ability to solve practical problems, teachers can give students some practical assignments, such as making their own goniometer to measure the height of school flagpoles and the width of rivers; Or suggest that students visit rural areas, factories and construction sites to learn about the application of mathematics knowledge in all aspects, so that they can establish functional models of life cases. Let students abandon the idea that mathematics is a castle in the air and learn real mathematics and valuable mathematics.
In short, while teaching textbook knowledge, we should closely cooperate with the changing situation of social situation and market economy, increase the knowledge of life, production, financial investment and market competition in time, guide students to be conscientious people in life everywhere, and cultivate and develop students' ability to integrate theory with practice.