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Teaching mathematical problem solving and creative thinking to develop the students I see


These four numbers are 5,2,4,3. In front of a problem, thinking in one area is blocked, immediately go to another direction, it may generate new ideas, innovative thinking in order to enhance or achieve the flexibility. In mathematics, or from different angles to solve, or for the results of reverse thinking, its purpose is to train students the flexibility of thinking. For example, A, B, C three groups of matches move follows: first by a heap out of matches, press B, C two piles in the number of matches into the B, C and two piles; then removed from the heap B match, according to a , C the number of piles placed in the A, C piles; finally removed from the C heap of matches, press A, B match in the number of piles into the A and B piles. After this move, the three groups are 8 matches, ask a few matches of the original pile? Is not difficult to understand, according to the order is difficult to move the outcome. Because we do not know the initial conditions (this is the required results). However, the last to know each pile is 8, the problem can reverse the initial launch of the case: A, B, C respectively, match 13, 7, 4. In a question before us, we always do everything possible to find the optimal solution, in order to enhance innovation or creative thinking. In mathematics, we find the subject of the simple solution,mulberry outlet, unusual solution to train students in creative thinking. Again, the same number of glass of white wine and a glass of red wine, take a spoonful of white wine into the wine inside, ask: wine cup wine cup than red wine contained in the liquor contained more than, or the opposite?, This problem according to the usual Solution: Suppose two glass capacity are a, a spoonful of the capacity of b, then the first action, the volume of liquor contained in a cup of liquor a-b, the second action, ... ..., many people will be calculated process ran aground, run into a wall. In the solution of this problem, if you imagine that each cup of white wine and red wine are separated, then the wine cup of wine is an integral part of the wine cup, and its vacancy filled by white wine is just now, so you can immediately get conclusions: the amount of red wine, white wine cup contained wine cup with the amount of liquor should be contained as much. These two solutions, the former is the algorithm, which is speculative; the former is the usual, which is unusual. Here, the latter seems simple and unique. Third, pay close attention to the development of thinking is to train students in an effective way of innovative thinking innovative thinking is that everyone has potential, but needs development. We believe that innovation in the development of students' way of thinking, should not rely on In mathematics teaching, we can, and let students try to solve the application extraordinary thinking. For example, a right-angle triangle of side length 7 cm, the other two sides are integers, each seeking their side. School math class in a discussion, some of the thinking ability of students to think, to be determined by a side of a triangle is not possible; some students believe that this problem is to find a right triangle of side length, may be a solution, but they think there will be countless of solutions; This shows that according to conventional logical thinking this problem intractable. See a student suddenly -b) = 49, turned to analysis of a + b and the nature of a-b, a-b must be less than 7, a-b can be divisible by 49, immediately draw a-b = l, a + b = 49, Finally, thinking of the students into solving equations, hypotenuse length of 25 cm, another right-angle side length of 24 cm. This theme of the students for the extraordinary (inspiration) the nature and critical thinking with personal experience. In mathematics teaching,herve leger toronto, focusing on developing students 'logical thinking is always the most important,air jordan high heels, which is to develop students' innovative spirit and innovation are complementary. Especially in today's information society, information on the ever-changing sentence. Breaking and choice is crucial, and this ability is the basis of logical thinking ability. Not necessarily be based on logical thinking, problem-solving process can only be the concentration of error type, its quality and efficiency are not guaranteed. There is no systematic development of logical thinking and training, mathematical way of thinking can not be established,######## oakley sunglasses, the mathematical spirit, thought and meaning of experience and can not comprehend, and therefore must strive to develop students' logical thinking and correct use of knowledge and logic,Salvatore Ferragamo outlet, the concept must be clear, judgments must be appropriate, reasoning must be logical, reasoning method must be correct, the four will be the logical relationship between propositions. To be clear, try to avoid one concept, circular reasoning, based on inadequate, everything has asked other non-logical errors. , | L,. /. t (Editor: Zhang Huawei) 182oo5 ~ 5 期 school textbooks give an example
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