高等代数课程中的许多教学内容与中学数学有着紧密的联系。例如数与数域，中

Many middle school math teaching content and advanced algebra curriculum closely linked. Number and domain e.g., secondary materials have integer, rational, real and complex. Advanced Algebra introduces the concept of number fields; polynomials, in secondary school mathematics textbooks have polynomial addition, subtraction, multiplication, addition to the four algorithms. Higher Algebra strictly defined and the number of polynomial addition, subtraction, multiplication, polynomial describes the theory and divisible Greatest Common Divisor theory; equation, there is a high school textbook linear equation, a quadratic equation solving method of monohydric the relationship between roots and coefficients of quadratic equations. ,, Real coefficients characteristic of the Roots n times mono-, properties and advanced algebra describes one yuan n equation root defined number of relationships and roots of the Roots coefficient mono- n-th complex field rational all roots of n times seeking; equations, a high school textbooks dibasic equations, elimination Solution ternary equations. Higher algebra has a Determinant of n - Solution of Linear Equations (Cramer rule) elimination and solution matrix, linear equations of the relationship between the group and SOLUTIONS; space pattern, with a flat middle school textbooks the length and angle of the space vector Advanced Algebra Continental unitary space and space we currently have not learned. Through the above analysis, advanced algebra and middle school math there are many places associated with the content. The difference is that high school mathematics relatively shallow, relatively narrow face, and advanced algebra middle school mathematics content will be broadened a lot, but also a lot of abstraction. And there are many advanced algebra concepts, some abstract concept, we do not understand the concept of what is the use. In this case, we want to advance preview, selective class, focused listening to the teacher, so that you can reduce the pressure to learn, do not know if there will continue to study after school, for knowledge to understand every point, because knowledge of advanced algebra is closely interlinked, or you drop a point, then knowledge will affect the learning behind. A deep understanding of the concept of advanced algebra concepts a lot, almost every chapter are related to the concept, and some very similar concept to prove a lot of questions have to be demonstrated by the concept. Therefore, in the study, we should deeply understand, understand the concept. For example, the definition of determinant, are different in different rows of all columns of n elements obtained by the algebraic sum of the product. Only deeply understand this definition, in order to solve problems with the definition of the determinant. There polynomial, the zero polynomial and the difference between the zero-order polynomial, homogeneous linear space isomorphic Euclidean space of similarities and differences.

Many teaching contents in advanced algebra icing are closely related to middle school mathematics. For example, in the number and number domain, there are integers, rational numbers, real numbers and plurals in the middle school textbooks. The concept of several domains is introduced in advanced algebra, and polynomials have polynomial additions, subtractions, multiplications and the division of four algorithms in middle school mathematics textbooks. In advanced algebra, the number of polynomials and addition, subtraction and multiplication are strictly defined, and the theory of polynomial division and the theory of maximum cause are introduced. In higher algebra, the definition of the root of the one-element n sub-equation, the relationship between the root and coefficient of the elementary n sub-equation in the complex domain and the number of the root, the characteristics of the root of the real coefficient one-yuan n sub-equation, the nature of the root of the rational number one-yuan n sub-equation root and its method of seeking;   There is the relationship between the determinant solution of n-element linear equation system (Kramer's law) and the matrix elimination solution, the determination and solution and solution of linear equation family solution in higher algebra; Through the above analysis, there are many related places between higher algebra and middle school mathematics in content. The difference is that the middle school mathematics knowledge is relatively shallow, the face is also relatively narrow, and the higher algebra will be the content of middle school mathematics broadened a lot, but also a lot of abstraction. And there are many concepts in higher algebra, some of which are abstract, and we don't understand the usefulness of this concept. In this case, we have to preview in advance, selective in class, focused listen to the teacher lectures, so that you can reduce the pressure of learning, if there is no understanding of the after-school continue research, and strive to understand every knowledge point, because the knowledge point of higher algebra is linked, Otherwise if you drop a point of knowledge, it will have an impact on later learning. Deep understanding of the concept of higher algebra in the concept of many concepts, almost every chapter involves the concept, and some concepts are similar, many questions to prove through the concept to prove. Therefore, in the study, we must deeply understand, experience the concept. For example, the definition of a step-by-step is derived from the algebra of all n elements that are located in different columns. Only by deeply understanding this definition can we solve the problem with the definition of the determinant. There are also the similarities and differences between the polynomial, the zero polynomial and the zero polynomial, and the similarities and differences between the consonality of the linear space and the eumorphism of the Euclid space.

Many teaching contents of higher algebra course are closely related to middle school mathematics. For example, numbers and fields, middle school textbooks have integers, rational numbers, real numbers and complex numbers. The concept of number field is introduced in higher algebra, and there are four operation rules of addition, subtraction, multiplication and division of polynomials in middle school mathematics textbooks. In higher algebra, the number of polynomials, addition, subtraction and multiplication operations are strictly defined, and the dividing theory of polynomials and the theory of maximum common factor are introduced. Equations, in middle school textbooks, include the one-way equation, the solution method of one-way quadratic equation, the relationship between the root of one-way quadratic equation and its coefficients. In higher algebra, the definition of root of one-variable n-degree equation, the relationship between root and coefficient of one-variable n-degree equation in complex field, the number of roots, the characteristics of root of one-variable n-degree equation with real coefficients, the properties of root of one-variable n-degree equation with rational numbers and its solution are introduced. In higher algebra, there are determinant solutions (Kramer's law) and matrix elimination methods for the system of linear equations with n variables, the determination of solutions of linear equations and the relationship between solutions and solutions, space and graphics, the length and angle of plane and space vector in middle school textbooks, and European space and unitary space in higher algebra, which we have not yet learned. Through the above analysis, higher algebra and middle school mathematics have a lot of connections in content. The difference is that the knowledge of middle school mathematics is relatively simple and narrow, while higher algebra broadens the content of middle school mathematics a lot, but also abstracts a lot. Moreover, there are many concepts in higher algebra, some of which are abstract, and we do not understand the usefulness of this concept. In this case, we should preview in advance, listen to the teacher selectively and emphatically in class, so as to relieve the pressure of learning. If we don't know, we should continue to study after class and try to understand every knowledge point, because the knowledge points of higher algebra are interlinked, otherwise, if you leave the next knowledge point, it will have an impact on later learning. There are many concepts in advanced algebra. Almost every chapter involves concepts, and some concepts are very similar. Many problems need to be proved by concepts. Therefore, in learning, we should have a deep understanding and experience of concepts. For example, the definition of determinant is derived from the algebraic sum of the product of all n elements in different rows and columns. Only when we have a deep understanding of this definition can we use the determinant definition to solve the problem. There are also differences between zero polynomials and zero degree polynomials, similarities and differences between isomorphisms of linear spaces and Euclidean spaces.<br>