The Study Of The Innovation Ability And Application Ability In High School Mathematics Teaching

In the age of information that the science and technology developing rapidly, the modern mathematics has been widely used in other areas, It become a science keep pace with the social science and the natural science. People did not stop the use of mathematics and innovation since ancient times, there is more need for innovation in modern society. Mathematical application consciousness and sense of innovation has become an important part of mathematical literacy, more and more attention. This requires people to have more mathematical knowledge, use mathematical language and mathematical techniques, thinking in mathematical and solve problem creatively, and make connection of math and life.But in real life, especially in Chinese, we learning mathematics since childhood, it is very confused about the usefulness of mathematics for us, just simple terms, there is very few use in life, and how to cultivate creativity in mathematics is the sense of weak. Therefore, It is becoming an important topic of mathematics education that how to train and develop students awareness and capabilities of innovative applications.Over the years, because the impact of the traditional education, our mathematics education has a weak sense of innovation and application, learning for the college entrance examination, teaching for college entrance examination, a large number of boring examinations makes students exhaustion in physical and mental. Education of 21st century is the quality education. Innovation is one important aspect of quality education. The new mathematics curriculum standards have been applied to the development of students'math awareness of innovation as an important teaching objectives, proposed a system specific requirements. Students of innovation, application awareness, use mathematics to solve practical problems creatively, the goal of effective implementation of the teaching in all mathematics educators to become further serious, thinking, research.Based on some students and teachers conducted a questionnaire survey and conversation, with the author's teaching, practical application of innovative mathematics students to understand the status quo, but also analyzes the college entrance examination papers in the past two years, the kinds of questions on the application and innovative test and found that the students apply weak sense of innovation, and try to explores the reasons put forward in high school mathematics teaching students math application awareness, sense of innovation, so that students interested in mathematics, mathematical knowledge to solve practical problems experience in the role, value and innovation to enhance student capacity.Text is divided into six parts:The first chapter is the introduction. It proposes the necessity of Innovative and applications of mathematics for education and the necessity of fostering awareness of innovative and application of secondary school students.The second chapter defines the concept of consciousness on innovative and applications of mathematical ability. And review the researching status of the innovative and application of foreign mathematics, and the study of innovative and applications in domestic high school mathematics teaching in different periods, that the innovative and application of education in secondary education has been subject to widespread attention.The third chapter proposes concept basis that how to develop the students awareness of application and innovative of mathematical. It is Constructivism theory, metacognition theory, multiple intelligences theory, successful intelligence theory and a variety of mathematical outlook.Chapter four understands the status of the application and innovative ability of students in mathematics part through questionnaires and interviews of teachers and students, explores the college entrance examination papers in the past two years about the kinds of questions to examine the ability of application and innovative, and analyses the candidate scores of Hunan on these questions. It analyses the reasons for poor awareness about the application and innovative of mathematics from the teaching materials, teachers, families, society and the students themselves, and many other factors.Chapter five proposed principles of mathematics teaching to develop students innovation and application ability at high school and the related basic strategy by the findings and related documents for the.Research shows that innovation and application ability should be paid in middle school mathematics teaching. Appropriate teaching strategies can effectively improve the application ability of mathematics and the awareness of innovative.