Mathematics Teaching students the ability to innovate

Mainly in primary schools is to train students in the formation of the initial ability to innovate, but also pay attention to students thinking of a number of good quality, in the lower grades I think the most important first of all, the idea of widening the students, thereby promoting innovation capabilities.
I practice the following combination of mathematics teaching during the creative ability of students to talk about the research.
First, create an atmosphere to stimulate creative thinking
Emotional psychology shows that: innovation needs a certain amount of knowledge, skills-based, but the feelings of students thinking activities can not be ignored. Have a happy, relaxed mood and a good positive relationship between teachers and students, to create awareness and incentives, in this emotional state, thinking of students to maximize active, easy to induce creative thinking, resulting in novel insights and give full play to the creative talent.
First of all teachers in teaching to "love" of students, teaching to the use of friendly language, such as "Who will help him, speak well, it is true that great" and other emotional language to mobilize and establish mutual respect teachers and students love the atmosphere of the main harmonic; Secondly, it is necessary to stimulate innovation and the motivation of students to guide the students to guess, give students some opportunity to think about, more space, more like the wrong expression; to allow students the freedom to think boldly said that the positive question, even if the students in the classroom made a mistake and lack of discipline, and do not一棍子打死, it is necessary to guide the attention of tolerance. Such as cylindrical in the teaching area of the side, I first of all for students to try the operation: "The students do move to the hands of a cylindrical straight start, take a look at what has become the graphics?" I then go on patrol, found that most students books in accordance with the method of a straight line along the cylinder started to be a parallelogram. Several of these students, I loudly in class in recognition of their courage to their innovative spirit, while encouraging positive steps to develop the whole class, bold innovation. Voice faded, a student stood up and said: "The teachers, of how I started it a square?" At this time, the thinking of students is very lively, active discussion, have a show of hands, the learning activities to another a climax. Finally, the sides of the same coin: the side columns are equivalent to the bottom perimeter of the area high. Throughout the teaching process, students relaxed and lively atmosphere, the main strong interest in the development of the innovation, the innovation for the future road paved.
Therefore, teaching in the classroom, from time to time for students to create an atmosphere conducive to learning is very important. To allow students from different points of view to observe to think to solve the problem. In response to questions raised by students when the teacher's attitude to harmony, to use words from the heart to encourage and praise them. Let the students in a relaxed and harmonious atmosphere of open ideas and activated thinking, learning to innovation.
Second, to break the routine, encouraging innovation
Teachers should foster "the spirit of innovation at the core" of the concept of access to knowledge is more important to establish the point of view, and guide, to encourage students to unconventional, dare to hold different views, to develop their thinking and more sexual, push-contracting of. In teaching materials should not rigidly adhere to a flexible use of teaching materials, guide students to start from a different side of the association, to develop the students thinking, inspiring them to explore a wide range of answers to be proactive in the development of students. For example: in teaching, "the bottom of the" one post, there is to consolidate "the meaning of the countdown" of the Exercises: × ()
= () × = × () = 1.这道题class I slightly altered to remove the last equal sign to make it into a: × () = () × = × (). This change will have numerous这道题the right answer. The subject appeared, the students first of all based on "the meaning of the countdown" to fill in the blank, so that the plot every two factors are equal to 1. When most students think that when you're done, some students still holding hands, they can not wait to say: "teacher, I have to fill in brackets for each 0." "Teacher, I let the plot of each factor equal to 2 . "" teachers, he said no, because the 2 ÷, we have not learn it, so I do not know a few brackets should be filled? "" I know that a few should be filled because × () = () × = × () = 1, and then change the basis of a factor, another factor to expand 2-fold, so to fill in brackets: × () = () × = × (). "At this moment, the students are extremely active in thinking, learning surpass the enthusiasm of a a, "I want their product equal to 1.5." "Let them equal to the number of plot can be." ... ... a small change, not only to consolidate the students of "the meaning of the countdown," the understanding of this new knowledge, but also important thing is to inspire the students to use conversion, migration, mathematical methods, flexibility in use of the innovative ability to learn.
Third, students play the main role in stimulating innovation capability
On the idea of modern education that the "development of students" and in teaching students to really wake up the main body of consciousness, teachers should be transferred to the students to go above that to give full play the main role of students to enable students to actively and positively with the knowledge acquisition process, only the students motivated to learn, and to make teaching the letter, in order to develop creative thinking. Education "formula for calculating the volume of cuboid", I first of all, the students issued a four centimeters long, 3 cm wide, 2 centimeters high rectangular hollow to enable students to do with a small cube of one cubic centimeters to measure the number of such rectangular the size of units, which measured the volume of the cuboid. Found in the observation, the majority of students with a small cube and then covered with a layer of the second layer Shop,and then there are a few out of the number 24, and each unit volume is 1 cubic centimeters, so the volume of the cuboid is 24 cubic centimeters. Have the students put a particularly fast, he said: "I just put the cuboid length, width, height" and then you can calculate the number, the 4 × 3 × 2 = 24 (months), or rectangular size is 24 cubic cm. At this moment, the content of new courses have been closer, I commended the students a timely manner, and then exciting language to encourage students to discover the number of not a few will be able to find the easy way to size. Students actively thinking, all well, through serious discussion, come to know as long as the cuboid of length, width, height, we can derive the size of the method, a smooth draw: the volume of cuboid - length × width × height. Students to re-inspire the relationship between cube and cuboid cube size up the discussion method, and derived formula for calculating the size of cube. Students themselves as a result of formula is derived and, therefore, have to a good solid understanding also played a main role of students played a creativity in our students.
Fourth,students to cultivate the spirit of innovation
As the saying goes: "Learning from the thinking, the suspected source. Often that thinking can be used; often thinking, often in order to explore the new. There is no question, there is no answer. A good question to answer than the more valuable a good . to lead students to question, to help students clear up doubts, it is the development of creative thinking of students in an important way.
1. To allow students the courage to challenge
In teaching in the classroom, teachers should be good at eyes with warm, subtle movements, the attitude of amiable, enthusiastic praise, To meet the needs of students to speak, to encourage students to challenge boldly. Question of students do not demand perfection, even if it is "ridiculous", but also be sure that the protection of their enthusiasm, as far as possible found; wrong for students to give honest and helpful, can not be reprimanded.
2. To allow students to question
Each student has the ability of creative thinking, teachers in teaching students to continue to inspire difference, so that studentsbook, the non-conventional, alternative shortcut to answer questions. Teaching to encourage students will be a problem for any "dead end", or different views can be queried from the trial in question, from concept to understand and grasp the challenge, the challenge of exploring a wide range of solutions. For example: in teaching, "the meaning of scores," the guide students on keywords. "Why unit'1 'of'1' to add the word in quotation marks?" And so on. So that students have raised many questions, and then guide them to discuss what fair question, which is not the focus of the content and materials, and gradually guide the students questioned.
3. To allow students to clear up doubts
Is a means to question, is the purpose of dispelling doubts. The challenge faced by students, teachers should not rush to answer. Issue to the students can discuss the role of teachers organizing guide, draw the correct conclusions would have a more profound effect. For example: learning to change the law, when the students themselves up with "In the division, the dividend and divisor by multiplying or dividing at the same time the same number (except 0), are unchanged," the teacher requested the students to read carefully the In conclusion, ask students: "What you do not know of it?" a student said: "What is at the same time? What does that mean the same?" At this time, teachers should say: "This is what we have to study today one of the issues , who can answer this question it? "teachers, that will certainly ask the students, but also aroused the enthusiasm of students to explore class, it can be said to" kill two birds with one. "
V. happy to allow students of innovation
As we all know, everyone has the requirements of self-expression, and particularly in primary and secondary school students. Psychologists study pointed out: "As long as a person to experience the joy of a successful and happy, it will inspire many times the desire for success and confidence." Teachers in teaching to give students an opportunity to show off more and more space to enhance the confidence of its creation. For example, in the application of the teaching in question, in order to enable students to correctly analyze the relationship between the quantity and improve problem-solving ability and improve logical thinking, accuracy, depth and flexibility, can be combined with teaching content and reasoning to carry out competitions Topics . Please everyone in his class, students recorded scores of a title on the application of the tape, so that they free to play, create, students who speak比一比accurate, there is nothing new, after teachers and students of the common council, selected the winners and the winning were rewarded. Novelty of this event unique and full of fun, to enable students to experience the joy of participation, interest in thinking, to create joy.