1, Transcendence: The superregression mathematical understanding model emphasizes the in-depth understanding of mathematical concepts and structures. This kind of understanding is not only memory and imitation, but also the ability to examine and think about mathematical problems from a higher level on the basis of mastering basic concepts. This transcendence is reflected in the ability to integrate mathematical knowledge, understand the essence and internal logic of mathematics, and thus better use mathematical knowledge to solve practical problems.
2. Regression: The super-regression mathematical understanding model emphasizes the regression of original cognition, that is, starting from the most basic concepts and principles, gradually building a mathematical knowledge system. This regression is helpful for students to deeply understand the essence of mathematical knowledge, grasp the internal relationship of mathematical knowledge and form a systematic knowledge structure. Regression is also reflected in the process of solving mathematical problems. We should return to the essence and original concept of the problem and find the most direct solution.
3. Unnecessary boundary: The super-regression mathematical understanding model holds that mathematical understanding is a dynamic process, and there is an inclusive relationship between all levels of understanding, rather than being independent and well-defined. Therefore, when understanding and applying mathematical knowledge, we should not be limited by unnecessary boundaries, but should organically combine different levels of understanding to form a complete mathematical knowledge system.
Application fields of superregression mathematical understanding model;
1, Mathematics Teaching: The application of super regression mathematical understanding model in teaching is mainly to help students establish a systematic mathematical knowledge system and improve their understanding of the essence and internal logic of mathematics. Teachers can use this model to guide students to start from basic concepts and principles, gradually build a mathematical knowledge system, and cultivate students' mathematical thinking and problem-solving ability.
2. Teacher training: Hyperregressive mathematical understanding model can also be applied to teacher training. Through training, teachers can better understand students' mathematics learning process and master effective teaching methods, so as to better guide students' learning. This model can also help teachers improve their mathematics literacy and teaching ability.
3. Educational research and educational reform: The superregression mathematical understanding model can also be applied to educational research and educational reform. By studying this model, we can deeply understand students' mathematical learning process and cognitive development law, and provide theoretical support and practical guidance for educational reform. The model can also provide reference for the formulation of educational policies and standards.