? Comprehensive practical activities are participatory activities with problems as the carrier and students' independent participation as the main body. In the process of solving problems, students can discover and ask questions, turn practical problems into mathematical problems, design solutions to problems, and solve problems in teams.
? Comprehensive practical activities have two important characteristics:
? 1. comprehensive. The main manifestations are as follows: in the process of solving problems, students should not only synthesize the knowledge in various fields of mathematics knowledge, but also use the knowledge related to other disciplines; We should not only use knowledge, but also use students' life experience, various methods and tools to solve problems, and the ability to communicate, exchange and cooperate with others.
? 2. process. It refers to the process that teachers guide students to participate in practice and experience relatively complete learning activities by asking questions. The process is mainly embodied in that students should have enough time and space to experience observation, experiment, guess, calculation, reasoning, verification and other activities, that is, students must experience thinking activities. At the same time, in the form of activities, students are encouraged to think independently, and more activities such as group cooperation, field observation, field measurement, hands-on operation, direct data collection, questionnaire survey and real data calculation are adopted to make students really move.
Whether it can reflect comprehensiveness mainly depends on whether the "problems" are well designed or not, and whether the problems to be solved need students to comprehensively use knowledge, experience, methods, tools and abilities to solve them. Therefore, the first premise of comprehensive exercises is to have a good question. Whether the process can be embodied depends mainly on whether there is room for "autonomy". With good questions, students should explore and try by themselves (or under the guidance of teachers), so as to accumulate rich experience in activities and improve students' problem-solving ability.