The famous American mathematician Hals has a famous saying: Problems are the heart of mathematics. Problem solving is the core of mathematics, and learning to solve problems is one of the important goals to achieve in mathematics learning.
1. Start learning in the form of group cooperative learning
Constructivism believes that the acquisition of knowledge is not a process for learners to simply accept or copy, but a process of active construction. Everyone has their own understanding and unique meaning of the objective world. The knowledge constructed by individuals may not be reasonable, so it needs to be communicated in groups or communities, and in the process of negotiation, the rationality of knowledge construction should be pursued. However, independent learning is the prerequisite for collective learning. Teacher Li gives children time to think independently before group cooperation, and then focuses on problem-centered and cooperative learning. The relationship between *** and learning is achieved through mutual listening and dialogue activities. The teacher integrates the detailed problems and throws the entire problem to the students. Everyone works together to solve the problem and gives the students a platform to present themselves. Instruct students to listen to their peers and try to express them in their own way. For example, "I understand his method, which is..." "He made it very clear, meaning...". Secondly, guide students to share their thoughts with their classmates and boldly question, supplement or evaluate their classmates' speeches. For example, "After listening to a certain classmate's speech, I think...".
2. Use the gradual penetration of problem-solving strategies as clues and focus on solving multiple problems for one problem.
The value of problem-solving activities is not only to obtain solutions to specific problems, but more importantly, to allow students to develop in the process of problem-solving. The important point is to enable students to learn some basic strategies for problem-solving. Experience a variety of problem-solving strategies. The essence of the diversification of mathematical problem-solving methods is that the way to solve the same mathematical problem is not limited to one method, but should reflect the characteristics of diversity. In other words, every primary school student has a different thinking model. Therefore, in order for each student to deeply understand and learn, multiple solutions to a problem are needed in teaching. When facing this class, Teacher Li focused on the diversity of solutions and guided the children to think about the problem from different perspectives. i