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Mathematical practice explanation and analysis (call)
"Calling" is a new content in Comprehensive Application, the second volume of fifth-grade primary school mathematics published by People's Education Press. This content combines familiar materials in students' life. The choir received an urgent task during the holiday, and the teacher should call each member as soon as possible. Ask the students to help the teacher design a telephone plan and find out the best plan. Through this comprehensive application, students can further understand the close relationship between mathematics and life and the application of optimization thought in life, and cultivate the ability of applying mathematical knowledge to solve practical problems. At the same time, they can discover the hidden laws of things by drawing pictures and cultivate their thinking ability of inductive reasoning. The teaching objectives of the whole class are clear, and the difficulties are prominent. I attach great importance to students' independent attempts and explorations. The hands-on operation fully embodies that teachers are partners in learning activities and embodies the concept of new curriculum standards, which has benefited me a lot. The following is my brief evaluation of this class.

First, the teaching design is unique, focusing on the infiltration of thinking methods, embodying the essence of mathematics, and thinking training is in place.

"Calling" is a mathematical practice course. Combining with the familiar materials in students' life, starting from the specific situation problems, we design the telephone scheme, find the best scheme through painting and find the hidden mathematical laws in the telephone. "Call" allows students to experience optimization in the process of solving problems; Discover the hidden laws of things by drawing pictures. Let students experience the application of operational research in real life. The teaching design is unique, and it is good at grasping and excavating teaching materials, turning boring mathematics into happy mathematics and guiding students to deepen and learn knowledge step by step.

Second, let students experience the whole process of exploration, and students' dominant position will be implemented.

This lesson begins with asking students to explore the best scheme of calling 15 people as soon as possible, so as to stimulate students' desire to explore. Let students observe, analyze and summarize in the exploration activities, find out the rules from them, and then apply them to solve problems. Finally, promote the internalization of students' knowledge. Call everyone as soon as possible to inform you of the formation of the best plan and the discovery of the law. This is not "given" by the teacher, nor is it passively accepted by the students. Instead, under the guidance of teachers, students actively participate in exploration activities and discover through hands-on, words and brains. They learn independently and take the initiative to acquire.

Three. Think and communicate fully.

After asking questions, I set aside enough time for students to think and practice, let students think independently or work together to solve problems, and encourage students to think about various ways to solve problems. In order to achieve this teaching goal, I designed three stations: ① "Grouping is a good way, how to divide it?" (2) "The more groups, the better? Try to study it. " (3) "It will save time for students who have finished calling to call at the same time. Good idea! " During these three stays, after each question is put forward, students are required to discuss and communicate in groups on the basis of independent thinking, so as to get various schemes. Teachers should grasp the students' situations as comprehensively as possible, and strive to collect and capture good resources and good questions among students, and present various resources. So students have all kinds of wonderful scheme design and progressive problems.

Secondly, full communication, resource sharing, effective interaction, and promote the generation.

From the teaching process, the telephone scheme ranges from low-level "one notice at a time" to more conventional "grouping notice", from "average grouping" to "grouping can be different", from "teachers and group leaders call at the same time" to "everyone who receives the notice calls at the same time". The method is from low level to optimization, and students' knowledge and understanding is a step-by-step process. The clue of "gradual optimization" is that in order to achieve the purpose of "effective interaction and promoting generation"