Keywords: the cultivation of innovative thinking in mathematics teaching
First, the significance of innovative education in mathematics teaching
To implement innovative education, we must first change teachers' teaching concepts. We used to pay attention to how much knowledge students have learned, but now we should emphasize students' learning ability. Instead of emphasizing students' "learning", it emphasizes students' "learning" and "teaching is to not teach". The ultimate goal of innovative education is to cultivate students' autonomous learning ability, humanistic spirit and scientific spirit. Our teaching activities should be student-centered and teacher-led; We should not only attach importance to teachers' teaching, but ignore students' learning; We should not only attach importance to imparting knowledge, but ignore the cultivation of students' ability and the role of non-intellectual factors in students' learning. We can't just pay attention to the exam results and ignore the improvement of students' quality.
Secondly, some suggestions on implementing innovative education in mathematics teaching.
1. The cultivation of students' innovative ability is based on teachers' innovative consciousness and innovative ability.
Presumably, the correctness of this formulation does not need to be proved, and it is no exception in mathematics teaching. The key is how to solve the realistic contradiction. Some people think that junior high school mathematics is simple, and learning can mainly be solved by imitating examples, without innovative education. In this regard, the author does not agree. It is true that some problems in mathematics learning can be imitated, but mathematics problems are ever-changing, and the ideas and methods of solving problems cannot be the same. Therefore, learning mathematics must be innovative. This requires teachers to have enough innovative consciousness in teaching, encourage and organize students to give full play to innovative thinking, and appropriately broaden and deepen related issues, thus expanding students' thinking space and innovative ability.
2. Grasp the three basic principles and actively promote innovative mathematics education.
The cultivation of innovative ability must be guaranteed by an innovative teaching system different from the traditional model. When we seek, design and implement innovative ability training programs, we must first conceive and establish an innovative new education and teaching system different from the traditional model.
(1) Stimulate students' thinking. Teachers should carefully design according to the actual situation of the students they teach, follow the principle of "varying from person to person, step by step and deepening step by step", especially grasp the slope and method of asking questions, and pay attention to the multi-solution or classified discussion of the designed questions, so as to arouse students' arguments, arouse their thinking climax and arouse their divergent thinking.
(2) Pay attention to the whole process of thinking. Innovative education should pay attention to the whole process of thinking. The result of thinking is not the most important, because the correct result is often a process of correct thinking, but the correct result does not necessarily mean correct thinking.
The same is true of math learning. When doing multiple-choice questions or solving problems, students can't simply tell the answers. The teacher immediately gives a "correct" or "wrong" conclusion, but should ask "why?" This will show the students' thinking process to everyone for discussion. 3. There should be innovative classroom situations.
The most direct manifestation of innovative teaching methods is the teacher's innovation of classroom situations in class, and if the introduction of courses can be lively and interesting, students' interest in learning can be improved. The following is an introduction to my innovative methods in the process of mathematics teaching.
(1) Use the teaching method of "novelty, novelty and interest" to create situational teaching activities. Interest is the best teacher. Students have a strong interest in this course and their sense of participation will be improved. Interest teaching method can turn abstract mathematical concepts into concrete image expression, which is easy for students to accept and has a high degree of "conscious participation".
(2) Adopt friendly attitude and humorous language in the whole classroom teaching. An affable attitude can eliminate students' fears, make students feel that teachers are approachable and lay a good foundation for establishing a good relationship between teachers and students.
(3) Combining with real life, give an example of' form guiding classroom'. The key to this form is that the examples should be meaningful and interesting, and stimulate students' strong desire for knowledge. Cultivating students' exploration spirit, such teaching plays a great role in cultivating students' good mathematical quality.
4. Create an atmosphere of innovative mathematics education.
Every student has potential innovation ability. To turn this potential into innovation in reality, we must create a strong atmosphere suitable for innovative education. Teachers play a leading role in the acquisition of students' mathematical knowledge and the formation of their abilities. Teachers' own innovative spirit will greatly stimulate students' enthusiasm for innovation. Therefore, we should fully mobilize teachers' enthusiasm and innovative spirit, strive to improve their innovative ability, master more novel and flexible teaching methods, and constantly explore and innovate in teaching practice to enrich and improve themselves.
5. Correctly positioning the evaluation standard of mathematics teaching is a powerful thrust to implement innovative mathematics education.
The fundamental purpose of teaching evaluation is to promote the all-round development of students' quality and the continuous improvement of teachers' education and teaching level by checking the teaching effect. Teachers should comprehensively evaluate students' emotions, attitudes, abilities and learning strategies in the learning process, master the level of basic knowledge and its development potential, attach importance to the evaluation process, and diversify evaluation standards and methods. Especially in the evaluation of mathematics teaching, we should pay attention to the comprehensive evaluation of problem-solving methods, calculus ability, logical reasoning ability and other abilities, let students become the main body of evaluation, establish a new evaluation concept with students' development as the goal, and pay attention to students' quality evaluation, rather than simple test paper score evaluation. Only by positioning such a comprehensive evaluation standard can we effectively promote the implementation of innovative education in mathematics teaching.
In a word, innovative education is the main theme of education in the era of knowledge economy and the necessity of social development. How to give full play to the characteristics and functions of mathematics discipline and realize mathematics quality education and mathematics humanistic quality education is the theme of exploration in the new century. As far as school education is concerned, mathematics education is one of the main positions of innovative education, so it is of great significance to carry out innovative education experiments in mathematics teaching. ;