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1、浅谈学生数学直觉思维能力的培养（Cultivation of students intuitional thinking ability in Mathematics）Documents from the network, I collected, finishing, and if there are omissions, errors, but also please correct me!Pay attention to the cultivation of students intuitive thinking ability in TeachingWuxi third high sc
2、hool Gu XiaohuaIn mathematics teaching, it is an important and difficult job to pay attention to train students intuitive thinking abilityBruner pointed out that in the process of education visionary in a Book: we cant wait until the next can give intuition pure and unambiguous definition, and preci
3、sion technology to identify the intuition, to study this projectThe role of intuitive thinking in mathematics teaching is becoming more and more significant, and the status of creative thinking is becoming more and more important. I think it is necessary to train students intuitive thinking ability
4、as one of the goals of Mathematics EducationThe ultimate goal of any level of mathematics teaching is to enable students to have a solid intuition about the mathematical objects they have to deal with, says the French Academy of sciencesIn the process of teaching, teachers should consciously help st
5、udents to develop intuitive thinking, cultivate students intuitive thinking ability, strengthen teaching in the teaching process, pay attention to the cultivation of students innovative consciousness and practice abilityThe following is a combination of teaching practice, talk about how to train stu
6、dents in mathematics intuitive thinking ability of several practicesFirstly, cultivating students keen observation ability is the premise of training mathematical intuitive thinking abilityObservation is a purposeful, planned, relatively persistent intuitive activity, a special form of perceptionIt
7、is a perceptual activity for dealing with complex things with greater initiative and understandingKeen observation can enable students to from, seeing the essence of wear problemTeachers can guide students to observe structural features, mathematical problem itself number characteristics, combinatio
8、n of number and shape characteristics, relationship characteristics, graphic features in the teaching, and guide students through the association will be resolved into existing system of knowledge and skills to try to break the mindset, make full use of intuitive thinking. In the keen decision to so
9、lve the problem1, there are two cases of ellipse A, B, O is the center of the ellipse, if an OA OB, |OA|=m, |OB|=n, is equal to ()A.B.C.D.Original title: analysis questions multiple-choice questions, if solved, may have to spend a lot of time, but through the observation, we can find the four option
10、s for the fixed value, so we can use the special value method, A, B points were placed in the long and short axis endpoint, easy to get the correct option is DThus, observation itself is a problem solving methodFor some math problems, through the observation of the problem set and the structure, gra
11、phic changes, topics given explicit information and data relationship problems related background knowledge and implicit conditions conducive to the hidden information, insight into the relationship between quantity and structure, jump thinking, simplifying some reasoning process, enhance intuitive
12、awareness, improve students mathematical intuitive thinking abilityTwo, knowledge and experience are the source of intuitionKnowledge is the basis of all thinking, and the process of thinking is actually the process of using existing knowledge to recognize and create new knowledgeAlso, knowledge is
13、one of the essential elements of intuitive thinkingKnowledge is the basic element of intuitive thinking, and the development of intuitive thinking will, in turn, promote the renewal and development of knowledgeMathematical intuition is the brain of the mathematical object, structure and the relation
14、ship between keen imagination and quick judgment, and the judgment and imagination often depends on the knowledge of the past experience and awareness of the nature of knowledge, to grasp the essence of the problem on the wholeTherefore, students understand and master the basic knowledge and basic m
15、ethods of mathematics is the basis of training intuitive thinkingIntuition does not depend on opportunity, but the acquisition of intuition, though accidental, is by no means gratuitous, but based on solid knowledgeIf you dont have a strong grounding, you wont get the spark of thinkingExample 2. Set
16、 the line l:y=kx+1 and the hyperbola 3x2-y2=1 to the AB two points, the diameter of the circle AB, just over the origin, the value of KLet A (x1, Y1), B (X2, Y2) by the OA group of OB, x1x2+y1y2=0, kx1+1 by y1=, y2= kx2+1 (1+ K2) to x1x2+k (x1+x2) +1=0, this form allows us to realize that the only two forms of expression, so only the linear equation and the h
