The Application of Advanced Algebra in Middle School Mathematics

The application of advanced algebra in middle school mathematics is as follows:

With the deepening of China's basic education reform, the professional growth of mathematics teachers has increasingly become the focus of attention.

Through questionnaire survey and practical research, the process of learning advanced mathematics and modern mathematics is re-experienced with knowledge reconstruction as the starting point. Mobilize all members of mathematics teaching and research group, explore the content and mode of mathematics teachers' continuing education under the new curriculum concept through school-based research of special activities and case teaching, and achieve phased results.

At the same time, the effective measures to carry out middle school mathematics research under the "high viewpoint" of middle school are explored. The practical significance of carrying out middle school mathematics research under "high viewpoint" lies in that it can become an important way for middle school mathematics teachers to carry out action research; Promote the reconstruction of mathematics teaching and research group and the professional growth of mathematics teachers; It is helpful to improve the ability of mathematics teachers to develop school-based teaching materials and cultivate students' inquiry learning ability and innovative spirit.

So as to realize the self-development and lifelong development of middle school mathematics teachers, and play a useful supplement to the training and professional growth of middle school mathematics teachers. Practice has proved that carrying out middle school mathematics research under "high viewpoint" can improve the professional quality and ability of middle school mathematics teachers.

Since the promulgation of Mathematics Curriculum Standard for Ordinary Senior High Schools (20 17 edition revised in 2020), the reform of mathematics curriculum has been deepened continuously, which has put forward higher requirements for teachers' mathematics professional knowledge, requiring teachers to understand the essence of mathematics knowledge in middle schools from a high perspective.

In addition, the frequent examination questions of advanced mathematics background in the college entrance examination also put forward higher requirements for students' cognition. Based on this, this paper takes the college entrance examination questions as the carrier and studies the following three questions under the guidance of a high viewpoint:

(1) What is the background of advanced mathematics (mathematical analysis, advanced algebra) in China's college entrance examination math problems? What is the theoretical basis of background knowledge?

(2) What are the problem-solving strategies for the high viewpoint of college entrance examination mathematics questions?

(3) How to compile high-view mathematics test questions?

In order to solve the above problems, this paper uses literature analysis, statistical analysis and case analysis to study.

After sorting out and analyzing all the references, Fujian Volume and Hubei Volume from 2006 to 20 15, National Volume and Zhejiang Volume from 2006 to 20021were selected as the research objects, and the test questions were collected from four aspects: high perspective of symbolic language, high perspective of knowledge content, high perspective of understanding level and high perspective of answering questions.