Mathematics inquiry learning is an organic part of students' mathematics learning. It is a meaningful active learning that further encourages students to explore knowledge and apply what they have learned to solve mathematical and practical problems on the basis of basic and extended course learning. It is a learning and research activity that actively explores practice with students' hands and brains and communicates with teachers, students and students. It takes research topics as the carrier, so that students can learn the basic methods of scientific research through the most basic research activities, and initially form a rigorous scientific spirit and attitude.
In the teaching of research-based learning in mathematics, a new relationship of equality, democracy and mutual learning can be established between teachers and students, creating a good learning atmosphere for students to explore, debate and learn from each other. Research-based learning of mathematics pays attention to problem solving, but pays more attention to students' inquiry learning process.
The materials used in research-based learning of mathematics are generally in the form of topics, and each topic discusses a special topic. The subject of mathematics inquiry learning is not only the synthesis and practical application of the mathematics knowledge that students have learned, but also has good training value for students to explore and solve problems. For senior high school students, a better topic should be the mathematical problems that students have experienced in their life practice, or the mathematical problems that are closely related to the local social and economic development.
Therefore, when determining research topics, teachers should not only provide, but also encourage students to abstract mathematical problems through observation, investigation and thinking of social life, thus forming research topics.