Genius mathematics is the textbook of preschool mathematics education. It is emphasized that children's mathematics education must take into account positive teaching method, reverse teaching method and two-way teaching method. "Genius Mathematics" introduces thinking factors into operation, guiding children's mathematics learning direction to develop in the direction of thinking more, solving more problems, being positive and negative, and being creative. Thinking in images and thinking in depth are the characteristics of this book.
The "three levels" of teaching methods refer to: forward teaching method, reverse teaching method and two-way teaching method.
(A) positive teaching methods
Children's thinking will follow the teacher's proposition and teaching direction. This period is the period of enlightenment, and most of the topics are basic. Everything has just begun, there is no depth at all, just staying in basic mathematical cognition and operation.
(B) the reverse teaching method
Children's thinking is different from the teacher's proposition and teaching direction, and even develops in the opposite direction. This period is a question period, and most of the questions are deepening questions. On the basis of what has been done, further reflect and explore what the original intention is. Great changes have taken place in the usual learning mode, and the ability of thinking and reasoning has gradually penetrated into the process of solving problems.
(C) Two-way teaching methods
Children's thinking can be the same as the teacher's proposition and teaching direction, or different. Thinking can fly freely, and there is no fixed direction and steps to restrain it. This period is a mature period. Most of the problems are profound and come and go without a trace. Children sometimes have dramatic explosive power in the process of solving problems, and their thinking level belongs to high-end groups. Only children with a considerable degree of positive and negative thinking ability can cope with it freely.