First of all, everyone's growth environment and personal quality are different, so we need to know ourselves correctly, find our own advantages and disadvantages or factors that affect learning, in order to "prescribe the right medicine"; Familiar with and respect the subject characteristics and development law of mathematics, and cultivate the quality suitable for mathematics learning; Mathematics learning is essentially a cognitive psychological process, so we should adopt a learning method that conforms to cognitive psychology; Mathematics is regarded as a dynamic process of cognitive structure construction, and different mathematical concepts, theorems and other knowledge are linked through thinking methods to form a knowledge structure; Construct the mathematical knowledge structure by using the learning method suitable for you; Finally, master the steps and strategies of solving problems skillfully, so as to achieve the purpose of mastering mathematical knowledge. The factors that affect mathematics learning will be influenced by their own intellectual and non-intellectual factors and external environmental factors, and everyone's situation is different. Mathematics learning is a psychological cognitive process with emotions, and the main factors or contradictions that affect everyone's cognitive emotions and learning experience are different: different growth environment, intelligence level, personality quality, different knowledge and experience structure, different learning habits, ways of thinking and learning methods. Need to make a diagnosis and find the main contradiction.
The subject characteristics of mathematics The knowledge structure of mathematics is systematic, coherent, rigorous and abstract. Mathematics is the product of rational thinking, which must be clearly explained step by step and justified. Mathematics learning must also respect the subject characteristics of mathematics. Therefore, the learning principle of mathematics is initiative, laying a solid foundation step by step, timely feedback and independent thinking.
The contents and methods of learning mathematics first define the contents of learning mathematics: mathematical concepts, especially primitive or basic concepts; Mathematical axioms, theorems, formulas, laws and other propositions; Mathematical methods such as mathematical equation method, collocation method and undetermined coefficient method, and more general methods such as deduction, induction and reduction to absurdity; Studying the history of mathematics can help us understand the background or origin of mathematical knowledge and ideas more vividly. In addition, the study of learning methods is also an important learning content.
The study of mathematics is the study of knowledge and skills. Combined with the characteristics of mathematics, the learning methods of mathematics should be meaningful acceptance learning and appropriate discovery learning, and through the construction of mathematical knowledge structure, we can improve our own mathematical literacy. The process of construction is to organically "combine" various mathematical contents through one's own understanding and understanding of thinking methods.
The learning method of mathematics is the so-called "if a worker wants to do a good job, he must sharpen his tools first", and the learning method is a "sharp weapon" that needs to be selected. There are four learning methods:
"Feynman" learning method: choose a concept and understand it deeply; Tell Xiaobai or Xueba and the teacher; Check the information to find the teacher after getting stuck; Repeat the previous process after learning to understand again. Deliberate exercise: divide knowledge and skills into three areas: inner, middle and outer, and carry out targeted exercises in the middle area to broaden the inner area. The reading method of "from thin to thick, and then from thick to thin" advocated by Mr. Hua; Learning the history of mathematics: Because the process of mathematics learning is similar to the process of mathematics discovery, it can increase interest and deepen understanding, which is more in line with cognitive psychology, and also makes it possible to foresee cognitive development and improve exploration ability.