Multivariate Representation Teaching Of Algebra Problems Under Metacognitive Regulation

The solution of the mathematics problem is an important link in the teaching process,and the algebra problem is an important type of the mathematical problem.The multi-element representation of the algebraic problem is the basis of solving the algebraic problem,and the algebraic problem is presented by the knowledge background in the self-cognitive structure.The algebraic problem is simplified and a solution is further conceived.In the whole process,metacognition is also required to carry out the cognition,monitoring and adjustment,and constantly improve the whole problem-solving process,reach the psychology of developing and enrich the students' problem-solving,and teach the students how to learn and master the solution.On the Cultivation of Metacognitive Ability and the Multi-element of Algebraic Problems in the Teaching;It is of great value and guiding significance to improve the ability of solving problems,and to perfect and develop the students' cognitive structure.Firstly,this paper introduces the research results of metacognitive theory and problem representation,the connotation of metacognitive theory and algebraic problem representation,analyzes the importance of cultivating students' metacognitive ability and algebraic problem multiple representation to improve students' ability to solve algebraic problems.On the basis of this questionnaire,examples are used to analyze the performance of students' metacognitive ability in cognition,monitoring and adjustment,the causes of multivariate representation bias and the transformation of algebraic problems in the process of solving problems.Volume description analysis.The study found that:In addition,according to the results of this study to summarize and analyze the problems presented,and teachers in the teaching of examples of exercises and review of the corresponding teaching advice,so as to improve the ability of students to solve algebraic problems.