个先进工具已不容置疑地渗透到各行各业之中（An advanced tool has penetrated into all walks of life to allow all doubt.）

个先进工具已不容置疑地渗透到各行各业之中（An advanced tool has penetrated into all walks of life to allow all doubt.） 个先进工具已不容置疑地渗透到各行各业之中(An advanced tool has penetrated into all walks of life to allow all doubt.) Information technology, as an important tool of today's social progress, has undoubtedly penetrated into all walks of life Similarly, the use of information technology in mathematics teaching is a great progress in mathematics education, and information technology as an extension of cognitive tools Human brain thinking, is a powerful platform to improve mathematics teaching. In today's knowledge economy, the competition of international comprehensive national strength is more and more reflected in the quality and quantity competition of innovative talents Fight. Bringing up high-quality innovative talents is the most challenging historical mission given by our times to our education. To finish this pole Challenging historical tasks, we must carry out the research on the innovative consciousness, creative ability, especially the innovative thinking of the talents Experiment。 The research of brain science theory shows that creative thinking is a new schema under the condition of schema variation in head brain The production of new cells by collision of various cells in the human brain. All creative actions of human beings can not be separated from creative thinking and creative thinking It's the highest level of human brain function. Explicitly speaking, creative thinking refers to the thought of providing novel and valuable results. Create New thinking is the thinking of opening up the unknown field of human beings, and the concrete innovation thinking of students is mainly reflected in the discovery of new knowledge, exposing the new knowledge New laws, new ways of finding, and solving new problems in the process of thinking. Students with innovative thinking are rich The imagination can learn by analogy, by analogy, found that people ignore things, looking for the new growth point. They have a wide range of interests With a quick mind, a keen curiosity and thirst for knowledge, an explorative question can be put forward and carried out in an innovative way Using existing knowledge. Cultivating students' creative thinking ability in mathematics teaching is the core content of innovative education. In the traditional education of our country, the "injection" education mode is adopted more frequently, and the knowledge accumulation is placed first, while the ability is taken into consideration Training in the second place, not able to better cultivate the ability to penetrate into the process of students' knowledge, especially the number In the process of learning education, mathematics itself has a large number of repetitive and complex data processing boring, as well as a lot of mathematical content pumping The characteristics of iconicity often hinder the cultivation of students' creative thinking ability. With the help of information technology, mathematics teaching can be done Take things that have not been done or done well in the course of the past mathematics teaching (such as complex data arrangement, abstract knowledge) It is more conducive to students to spend more time in decision-making, thinking, reasoning and solving problems So as to cultivate students' innovative thinking ability and make them become innovative talents. 2, the research goal, content, viewpoint and innovation of the subject Research objectives of the project: Using the viewpoint of scientific development, the viewpoint of subjective consciousness and the viewpoint of knowledge construction, this paper explores the application of information technology in senior high school mathematics teaching In order to find a scientific and effective way to train and train high school students' innovative thinking ability. Research contents of the subject: (1) applying information technology to create situations and display process, teachers use appropriate creative strategies, such as divergent asking questions, Multi method, error analysis, eliminate obstacles, delay evaluation, collaborative discussion, thinking tips, forecast the results of training methods Students' divergent thinking ability and critical thinking ability. (2) through the proper teaching of the history of mathematics and the course of scientific discovery, students' scientific thinking attitude, method and creative person can be cultivated Lattice. (3) through the research and application of creative teaching strategies, improve the quality of teachers, and cultivate innovative teachers. (4) improve the level of teachers' scientific application of information technology, and form a series of mathematics teaching resources suitable for the cultivation of innovative thinking ability Network resources and typical cases, paper records and so on. The point of view and innovation of the subject: The development of people's creative thinking is affected by various factors, such as congenital conditions and acquired environment, and displays in different stages of the individual's age Different characteristics and development trend. The brain and nervous system of senior high school students are basically mature, and the internal structure and function of brain cells are constant In complex differentiation, the number of nerve fibers increases greatly. The structure of contact neurons and the structure of cortical cells The function is developing rapidly, which lays the material foundation for the formation of association, generalization and abstract thinking. Innovative thinking for senior high school students As a matter of fact, they have a certain ability of divergent thinking, but they still have to be developed, especially the originality in divergent thinking is not very good Mature, not high level. Their critical thinking ability developed rapidly, and gradually became dominant, but did not reach maturity . How to arouse students' awareness of problems and cultivate students' divergent thinking and critical thinking in the process of teaching is to carry out innovation Education, the focus of cultivating students' innovative thinking ability. Mathematics is the science of thinking, and it contains many experimental ingredients It is also an important cornerstone of the development of other sciences, just as Marx said: "a science can only be used successfully in mathematics." It's really perfect". In the history of mathematical development, the process of generating mathematical knowledge has many extraordinary values The material of innovative thinking can extract the principles for people to learn and use for reference, and can improve people's innovative thinking ability The principle has unique advantages in cultivating students' innovative spirit and creative thinking ability. As mentioned earlier, information technology, as an important cognitive tool, extends the thinking of human brain. Applying modern educational theory And information technology, through the design, development, utilization, evaluation and management of mathematics teaching process and teaching resources, can be realized The theory and practice of optimizing the teaching process of mathematics. With the information technology as an important tool, it can be used in high school mathematics teaching Create scenarios, complex data processing from the functional point of view, the abstract problem visualization; also can display the concept of The formation, the establishment of principle and the process of scientific research, make the students give full play to the image thinking and abstract thinking, and promote a variety of functions Students coordinate the development of brain function, train students to use the whole brain learning, and then form a multi-level and multi-level perception. meanwhile It can stimulate students' learning interest and motivation, so as to improve the internal driving force of individual innovative thinking, and promote students' divergent thinking Fluency, flexibility and originality are developed; critical thinking ability is improved; students' creative personality is cultivated Keep. Based on the above understanding, we think that in the information technology environment to cultivate high school students' innovative thinking ability of mathematics research is very Important scientific value, thus confirming this research topic. 3, the research ideas, methods, technical routes and implementation steps "Thinking begins with problems, and questions are the heart of mathematics.". In the information technology environment, guide the students to start from the problem as thinking Starting point, from the process of thinking and solving problems, to cultivate the divergent thinking of students, that is, from different sides, different Angle to consider the same kind of problem, that is, in mathematics teaching, a common problem of multiple solutions, such as a variety of topics. Solving problems that have already formed Plan and view, and ask a question why, this is the training of students' critical thinking, on this basis Let go of students' thinking for the opposite sex, which is the beginning of the formation of innovative thinking. We should put the innovation consciousness and innovation spirit into practice In the whole process of mathematics teaching, we should focus on the cultivation of creative consciousness and the cultivation of creative thinking ability in the process of experiment Research on factors; the research of classroom teaching organization form in information technology environment; the change of teaching and learning behavior in the information technology environment Research on the development of innovative thinking teaching mode under the information technology environment and the examination of students' innovative thinking ability under the information technology environment Research on measurement and evaluation and so on. We must face all students, fully tap the students' wisdom potential, develop students' intelligence and Non intelligence factors, on the basis of different levels of students meet the basic requirements of teaching, Extend the knowledge method moderately To develop and train students' practical ability and imagination, and to train students' innovative spirit and creative thinking ability . In the process of research, we should seize the teachers, students, teaching, teaching materials and information technology and other elements The experimental method of education discusses the effective methods of applying information technology in the process of mathematics teaching and the cultivation of students' creative thinking ability By using the method of observation and research, the teaching process and effect of classroom teaching were observed comprehensively, carefully and deeply Objective facts and materials are used to test the hypothesis and conclusion of the study, and the teaching research is adjusted in time; the questionnaires, questionnaires and interviews are conducted We should collect and collect information, modify and perfect the research plan, optimize the design of teaching process, and improve the teaching effect Thematic website construction and mathematical problem solving contest setting, etc., more effectively promote the development of students' innovative thinking. Experiment The objects are the students of grade one and grade two. As an experimental school, we built the school LAN as early as 2001, and the computer network has entered the teaching of each class In the room, students can enjoy the benefits of modern network and information technology in their classes. Our school was in between 2001 and 2005 With the national "fifteen" topic: "vector world" learning website construction and application of research in the process of a number of Cheng Fruit at the provincial and national prize two, the paper also participated in many national and provincial assembly and exchange of compilation of our school Xi website won the national two prize, and in June 2005 in Hunan, Changsha Title declaration in the expert group won praise, smooth through Over end questions. Our experimental teacher has accumulated a wealth of modern educational technology and practical experience, for the new round The research laid a solid foundation. The experimental period is 2006-2010 years, and the March 2006 -2006 July is the starting stage of the project, which is mainly to develop experimental research Plan, establish the research team, train the members of the group, clear the intention of the experiment. August 2006 June -2007 was the preliminary experiment Stage, mainly in the experimental process to constantly build and achieve the design of experimental objectives, improve operational experimental steps, so that real The teacher has formed the classroom teaching model with its own characteristics, and carried out the relevant practice activities according to the mode of formation. In August 2007 -2008 July, the experimental teaching model was criticized, revised and formed It is a teaching model of interaction of information technology, experimental teaching materials, experimental teachers and experimental students Practice has been further verified. In August 2008 -2009 July as the summary stage, the main construction of the corresponding thematic website, shape Multi forms of teaching resources, display the corresponding results and necessary papers. August 2009 -2010 June for theoretical sublimation, research knot At this stage, in this stage, we mainly summarize the experimental results, form the basic theory, write the experiment report, and form the information The monograph or compilation of the research on the cultivation of mathematical innovative thinking under the technical environment. ?? ?? ?? ??