Error Analysis And Strategies In The Maths Thought Process Of High School Students

It is not accidental that high school students make errors in their problem-solving process. So it is with the paths that errors go through. Errors can indicate the learners' latent mental state which causes errors. The research aims at categorizing the learners' errors,analyzing their incorrect thought process and psychological factors which result in errors, by means of analyzing the learners' test papers as well as talking to some individual student. Piaget' s Stage Theories are tested by analyzing the errors made by the learners at differents thought processes. Constructivism theories are used to analyze the mistakes made by the students at the same thought process. The main analysis results are drawn as follows: (l)When the learner can not reach up to the required thought stages in mathematics learning, they will make mistakes in the problem-solving procees. (2) Whatever thought stage the learner moves into, the primary reason for his errors is his incomplete cognitive structure. (3)There are another two reasons for the learner' s errors in learning process:0ne is that the learner can not minitor his own thought process effectively. The other is that some teachers hold inappropriate teaching concept, which will cause the learner to make errors. In the last part of my research, strategies are provided for dealing with the learners' error:First, it is an effective way for the teacher touse the Random Access Instruction, which is of great use to the learner who is restricted to the level of his thought development. Secondly, emphasis should be focused on the teaching strategies to help the learner to build good cognitive struture.