Editor's note: Mathematical thesis is a kind of scientific thesis, which is an argumentative thesis used to conduct mathematical scientific research and describe research results. Paper net will provide you with model essay reference, writing guidance and format requirements for your math thesis, so as to solve the problem of writing your thesis. In the process of students' learning, high school teaching is a crucial period for students' future personality formation and independent development. High school teaching is of special significance for improving students' own quality and cultivating innovative talents. In senior high school, as the main body of exploring true knowledge and active learning, the cultivation of students' independent inquiry and innovation ability can provide them with a more solid and favorable ability foundation for learning all kinds of knowledge and exploring more unknown fields in the future. Therefore, high school teaching bears the arduous task of improving students' independent innovation ability. How to stimulate students' innovative potential and cultivate students' independent innovation ability in high school mathematics teaching has become an important research topic that many mathematics teachers need to solve. This paper mainly discusses how to stimulate and cultivate students' independent innovation ability in senior high school mathematics teaching. Keywords: senior high school mathematics thesis; Mathematics teaching thesis; Independent innovation thesis; Students' independent innovation can be said to be a special innovative personality or personality, which is a relatively lasting and stable organizational system composed of students' own innovative motivation and innovative ability. The cultivation of students' innovative ability depends on eight aspects: strong curiosity and cognitive interest, the spirit of daring to take risks and practice, perseverance, independent personality, strong self-confidence and enterprising spirit, rapidly developing self-awareness, rich emotions and meticulous attitude and style. In order to cultivate students' personality in these aspects and improve their independent innovation ability in senior high school mathematics teaching, we must change their existing thinking mode, break through students' existing thinking obstacles, stimulate and improve their interest in learning mathematics, tap their self-innovation potential, and encourage and cultivate their independent innovation ability. First, break through students' existing thinking obstacles. Students transfer from junior high school to senior high school. This turning point will be a little uncomfortable for many students. From the perspective of mathematics learning, there is a great difference between high school mathematics learning and junior high school mathematics learning. From the perspective of the content and difficulty of mathematics knowledge, it increases the burden of students' mathematics learning. In this case, the teaching mode of cultivating students' mathematical thinking is neglected in high school mathematics teaching, which is easy to cause obstacles to students' mathematical thinking, unable to make students have an accurate perceptual knowledge of high school mathematics, and makes them form a little obstacle to the application of various basic thinking methods such as analysis, comparison, induction, synthesis and deduction in high school mathematics, thus affecting students' understanding and mastery of high school mathematics knowledge. This obstacle in mathematical thinking makes high school mathematics lose its pertinence and timeliness teaching significance, which affects the cultivation of students' independent and innovative thinking. Therefore, in high school mathematics teaching, to improve the cultivation of students' independent innovation ability, we must first break through the obstacles of students' mathematical thinking. In order to eliminate the mathematical thinking obstacles formed when high school students enter high school mathematics learning, mathematics teachers should know the students' mastery of basic mathematics knowledge in detail in the initial teaching. When explaining the new knowledge of mathematics in senior high school, we should emphasize and develop the initiative consciousness of different students in mathematics learning according to the characteristics of students' cognitive development in stages and the differences of their cognitive level of mathematics knowledge, take students as the main body of learning, give full play to the leading role of teachers, strengthen the teaching of thinking mode in mathematics teaching, and guide and enhance students' mathematics. Improve the flexibility of students' mathematical thinking by cultivating divergent thinking; Through problem-solving teaching, students' thinking patterns and obstacles in mathematics learning can be eliminated, and students can gradually form a new scientific way of thinking in mathematics. Second, stimulate and improve students' interest in learning mathematics. Hobbies and interests are usually the best teachers in learning. Practice has proved that only under the influence of good learning emotions can students' initiative and autonomy in acquiring and understanding knowledge be effectively improved and significantly enhanced. Therefore, in order to cultivate students' independent innovation ability in mathematics learning, we must fully stimulate and enhance students' strong interest in mathematics learning on the basis of eliminating their mathematical thinking obstacles, change the limitations of teachers' "imparting knowledge" and students' passive acceptance in previous mathematics learning, be close to the excitement of students' mathematics learning, and adopt heuristic teaching mode to stimulate students' interest in mathematics learning. Improving students' interest in learning mathematics can turn passive into active, enhance students' subjective initiative in learning mathematics, and play an obvious role in improving the overall effect of classroom teaching and students' learning efficiency. Therefore, in mathematics teaching, teachers should grasp the emotional factors of students' mathematics learning, be close to the exciting area of students' mathematics learning, take various practical problems in games or life as the starting point, combine important and typical mathematics examples with practical problems, and combine mathematics topics with life examples through various means of comparison, experiment and analogy to stimulate students' interest in independently discovering laws and summarizing concepts and connotations. Through this way of case discussion and teacher-student interaction, the boring mathematics language becomes vivid, which ensures that students can strengthen their understanding ability of abstract mathematics knowledge on the basis of mastering the difficulties and key points of the course, and stimulate and promote their interest in mathematics learning in this step-by-step process. Third, tap the potential of students' self-innovation. The exploration of students' innovative potential is the basis of cultivating students' independent innovation ability. As a senior high school math teacher, we should know that the exploration of students' innovative potential needs to be realized in practice. Therefore, in the process of mathematics teaching, teachers should abandon the formal and stylized teaching mode in traditional teaching, so that students can break through the routine and exert their rich imagination; Encourage students to actively participate in teaching activities and enhance the initiative of thinking. Students are the main body of learning, and their active participation is the fundamental guarantee to achieve the goal of mathematics teaching, so mathematics teachers should encourage students to explore new knowledge and solve more new problems in various teaching activities; In addition, the unique personality in learning can be said to be the embodiment of their creative personality. They often put forward their own opinions in a unique way, which is consistent with the unconventional and changeable thinking mode of innovative thinking. Therefore, in the teaching process, teachers should not only impart knowledge according to their own thinking and predetermined teaching plans, but also let students break away from convention and let their creative thinking develop without restraint, thus effectively tapping students' self-innovation potential. Fourth, encourage and cultivate students' independent innovation ability. The paper should encourage and cultivate students' independent innovation ability, and teachers should provide a learning environment suitable for students' mathematics learning behavior and create a harmonious and relaxed learning atmosphere. According to the research of related psychology, if students get rid of nervousness and experience a pleasant atmosphere in their study, they will realize the unity of consciousness and unconsciousness, promote their release of greater learning potential, and be conducive to students' autonomy and creativity. This requires teachers to use appropriate language in mathematics teaching, to eliminate students' nervousness, to make students feel more relaxed atmosphere in the classroom in the form of euphemism and praise, and then to actively participate in learning, independent thinking and innovation. At the same time, in order to cultivate students' independent innovation ability, teachers should encourage students to explore and question in their studies. Learning is a process of thinking, and questioning behavior is completed on the basis of thinking. Encouraging students to question all kinds of difficult questions can improve students' attention and concentration, improve students' interest in learning mathematics, and promote students' thinking development and intelligence improvement. In this way, students' thinking will not be limited to the effective range. It is of certain significance to cultivate students' independent innovation ability through various divergent thinking and pioneering thinking research. Conclusion: In senior high school mathematics teaching, encouraging and cultivating students' independent innovation ability is not only beneficial to students' learning in mathematics, but also can make students develop good study habits, provide a solid foundation for their future professional study and have a more positive significance for their future development.