In teaching, teachers should try to contextualize questions and introduce familiar examples into the classroom, so that students can realize that there is mathematics around them and improve their interest in learning mathematics. For example, when teaching "similar polygons", I created the situation like this: Students, you must have played with a magnifying glass! What is the relationship between the number seen on the magnifying glass and the actual number? At present, the United States has adopted a new technique and means to solve crimes-wavelet analysis, which can process images more quickly and accurately. Do you know what principles in our mathematics are applied by this technology? In order to better master modern high technology in the future, let's study this lesson together. Only when students are interested in problems will they have the motivation to solve them.
Second, provide space and time for students to explore and communicate.
Under the influence of traditional teaching, students are used to solving problems raised by teachers or textbooks, but they are not used to and have no chance to find and raise problems themselves. The emergence of new curriculum standards just makes up for this deficiency. In the teaching reform, we constantly try to solve new problems.
1, hands-on operation, active exploration, and enhance students' confidence in solving difficult problems.
Students are the masters of learning. Teachers should take students as the "subject", provide students with sufficient time and space to explore independently, give full play to their potential, and encourage students to practice, explore independently, cooperate and communicate and solve problems in mathematical activities such as observation, experiment, guess, verification and communication. For example, when learning the "trapezoidal midline", I let the students guess first, and then let the students use their own learning tools to explore this problem independently. Teacher: When we studied trapezium, we often used the method of auxiliary line to solve the problem of transforming trapezium into triangle or parallelogram. Then, can students solve the problem of transforming the trapezoid midline into a triangle or parallelogram?
Therefore, by folding, cutting, spelling and other methods, the students explored the conclusion that the trapezoid midline is parallel to the two bottoms and equal to half the sum of the two bottoms.
2. Infiltrate more mathematical ideas and methods into students, so that students can have a sharp weapon to solve problems.
Mathematical thought is the soul of mathematics, mathematical method is the behavior of mathematics, and mathematical thought and method play a guiding role in mathematics. In the process of mathematics teaching, it is an important way to cultivate students' ability to analyze and solve problems by consciously infiltrating some basic mathematical thinking methods into students. Such as symbolic thinking, transformation thinking, optimization thinking, combination of number and shape thinking, etc. At the same time, it also teaches students some mathematical methods, such as observation, practical operation and induction. For example, finding the intersection of linear function and inverse proportional function can be transformed into solving two equations where the resolution function is located.
Third, guide students to form the habit of reflection, so as to accumulate experience in solving problems.
Reflection is the way to optimize thinking quality and promote knowledge absorption and transfer. Through reflection on solving problems, we can deepen our understanding of problems and gain experience in solving problems.
In a word, teachers should change their teaching ideas. Teachers should not take improving students' problem-solving ability and getting high marks as the only pursuit goal, but should focus on long-term ability training. Let students truly become the masters of learning, and actively guide students to use their mathematical knowledge to solve practical problems. Only in this way can we improve students' ability to solve problems and improve their mathematical literacy.