Research on the Application of the Thought of Combination of Numeral and Form in Some Typical Mathematical Problems

Abstract

The thought of combination of numeral and form is an important thought in secondary school mathematics, which is of great significance to the development of students’ mathematical thinking and the improvement of their problem-solving ability. The thought of combination of numeral and form is to combine the quantity relation and graph relation in the question setting, so as to achieve a more intuitive effect and improve the efficiency of problem solving. This paper discusses the application of this thought in some typical problems of secondary school mathematics, such as vectors, functions, and analytic polynomials based on the requirements of the new curriculum standard to the thought of combination of numeral and form, and puts forward reasonable advice on how to carry out the teaching of combination of numeral and form.