Among them, he talked about changing ideas. From primary school to middle school, many people use it to transform their ideas. The essence of transforming ideas is to turn the unknown into the known, the complex into the simple, the generalization into the special, the abstraction into the concrete and the unconventional into the routine on the basis of the existing simple, concrete and basic knowledge, so as to solve various problems.
So what basic principles should be followed when applying the transformation ideas?
Teacher Wang Yongchun, director of the primary school mathematics editing room of People's Education Publishing House, said that at least four principles should be met.
(1) Mathematicization principle, that is, the problems in life are transformed into mathematical problems, and mathematical models are established, so that the methods to solve the problems can be found by applying mathematical knowledge.
Mathematics comes from life and is applied to life. One of the purposes of learning numbers is to use mathematical knowledge to solve various problems in life, and one of the goals emphasized by curriculum standards is to cultivate practical ability. Therefore, the mathematical principle is one of the universal principles.
The first problem designed by teacher Su is to let students actively mobilize their mathematical experience to solve life problems.
(2) Familiarity principle, that is, turning unfamiliar problems into familiar ones.
The process of learning mathematics is a process of constantly facing new knowledge; The process of solving difficult problems is also the process of facing unfamiliar problems. To some extent, this transformation process is an exploratory process for students. It is also an innovative process; It is consistent with the curriculum standard that advocates cultivating students' exploration ability and innovative spirit. Therefore, it is an important principle to learn to turn unfamiliar problems into familiar ones.
It is a process of students' innovation to turn complex combined graphics into familiar simple graphics through division and complement.
(3) the principle of simplification, that is, turning complex problems into simple ones.
For problem solvers, complex problems may not be solved, but the process of solving them may be more complicated. Therefore, it is the best policy to simplify complex problems and seek some skills and shortcuts.
In the process of graphic segmentation, there are different transformation methods. It is a simplification principle for students to choose the simplest and most appropriate strategy.
(4) the principle of visualization, that is, transforming abstract problems into concrete problems.
One of the characteristics of mathematics is abstraction. Some abstract problems are difficult to analyze and solve directly, and need to be transformed into concrete problems, or it is easier to analyze and solve them by intuitive means.
Teacher Su Can added a teaching appreciation session after class. The courseware presents the perfect division of combined graphics, which makes the transformation method leave a mark on students' minds.