The Strategy Study Of Training Mathematical Intuitive Thinking In Middle School Algebra Teaching

The Mathematical Intuitive Thinking plays an important role in the scientific discovery and invention. However, the Logical Thinking is overemphasized in our mathematics textbook and mathematics teaching, and it is ignored to bring up the ability of Mathematical Intuitive Thinking for students. Now that is being attracted attention in the new curriculum reform. Then, how to train the Mathematical Intuitive Thinking skills of students should be studied. Currently, many scholars put forward their views in this area. But, that is seldom how to train the Mathematical Intuitive Thinking skills in the algebra teaching. Therefore, in this paper, author proposes some way to train the Mathematical Intuitive Thinking skills.The definition of Mathematical Intuitive Thinking is that human have quickly determine and sharp imagination to mathematics and mathematical structure. And the Mathematical Intuitive Thinking has the unique feature. For example, the emergence of thinking is bursty and moment, the object is holistic, the component is affective, the process is non-logical, and the result is guess, creative and future-oriented. In the emergence of thinking, the subconscious will participate, and so on. The Mathematical Intuitive Thinking skill is a psychological characteristics, that the people can quickly determine and sensitive imagine for the stable mathematical material. And the skill may be influenced by attention, analysis, imagination, knowledge accumulation capability and other factors. The Mathematical Intuitive Thinking would generation, if the people have substantial experience and knowledge, can change the experience and knowledge to the lasting potential experience, and need a similar objective conditions to excite.Secondary school algebra textbooks have the following characteristics. First, the content isn't as intuitive as the geometry. Second, symbols are obscure, with a high degree abstraction, and it is very difficult to study for students. So their will show a series of thought disorder in the learning process. In this paper, the characteristics of secondary school algebra textbooks are analyzed, and the learning barriers are analyzed from the emotional and practical level. The training strategy of mathematical intuition is proposed in the secondary schools algebra teaching.Based on the above theoretical analysis, I select the content of"the concept and the representation of series", and design an experimental teaching case. After school choose three students in the experimental classes, and three students in the control classes, and interchange the learning and teaching effectiveness. Through to evaluate and reflect the interview results and the actual teaching effectiveness, proposed some suggestions for teaching and textbook. In the algebra teaching expect that can train students the Mathematical Intuitive Thinking skills, enhance the understanding and application skill to the content of secondary schools algebra, improve the quality of secondary schools education.