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Analysis of the Psychology Mistakes of Mathematics Conception Learning and Countermeasure Study
Author: DuChunQuan
Tutor: FuHaiLun
School: Shandong Normal University
Course: Subject Teaching
Keywords: Concept Learning Mental errors Type Factor Measure
CLC: G633.6
Type: Master's thesis
Year: 2003
Downloads: 647
Quote: 1
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Abstract
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From a psychological point of view, the learning of mathematical concepts psychological error to do the analysis and research. Sample survey on the basis of the theory of education, psychology, and then analyze the the psychological error type of concept learning, many factors affect the learning of mathematical concepts, teaching improvements. First, we define the concept of psychology based on concept formation of two basic ways of learning concept with the concept of assimilation and the formation of the \\Based on learning APOS theory, I believe that students learn mathematical concepts to psychological construct, this process of constructing the stage to go through the following four stages: stage operation (Action), stage of the process (Process), objects (object) and probability model (Scheme) stage. Therefore, the mathematical concept of the dual nature of the process and object. It is due to the characteristics of the mathematical concepts in the learning process of mathematical concepts, it is prone to error. According to the view of Professor Zheng Yuxin, the error can be divided into two categories: First, the process of error in the learning of mathematical concepts, the second is a reasonable error. And learners in all aspects of the learning concept error is defined as a procedural error; learners' cognitive inertia and the tendency error, defined as \The factors affecting the learning of mathematical concepts a lot, this article is mainly from four aspects of the knowledge factors, factors of thinking, interference factors and psychological factors are analyzed. Knowledge of factors from the perspective of the original student's cognitive structure and emotional material, emotional experience and talk. Both concept formation or concept of assimilation, students must have the knowledge and experience of the stimulation pattern evoke the original cognitive structure of knowledge and experience, in the context of teachers to create and understand new concepts learned. Thinking factors from the student's age, experience and intelligence, perception, abstraction ability and language skills in four areas discussed. , Plays a positive or negative role in the grasp of the concept of the everyday experience for the students. Students learning concept, the negative impact of the experience, it will cause the main obstacle perception of mathematical objects that affect the summary of the various attributes of things, of course, affect the formation of mathematical concepts. The mathematical concept of learning is also affected by the negative mindset, the impact of the negative transfer of knowledge and student memory and real numbers, complex numbers, for example, were demonstrated. I also found in the study, the learning of the student's temperament type, the attributed type of mathematical concepts have varying degrees of impact. On the basis of the above research, teaching improvements. Teaching, we must first provide the necessary physical instance model to enrich students' perceptual experience. The introduction of the concept, to try to show the concept was developed, based on students 'cognitive levels, with scientific refined mathematical language taught concept and request student representation concept, so that the concept and definition of the concept of teachers check students' minds are the same. Also cite the appropriate positive and negative examples to stimulate students 'interest in learning and a strong motivation in the students' cognitive structure based on the formation of new contradictions. In addition, different types of temperament also encourage students to cooperate and to change the teachers treat students' errors harsh in their teaching measures. Raised more than teaching measures, I taught high school two parallel classes within the experiment. Experimental results show that the improved teaching measures in the easy problems did not show a lot of advantages, but there are obvious differences in the performance of medium questions, problems, experimental classes and control classes. Thus, from the point of view long-term significance, adjust the mathematical concept of learning strategies is of practical significance.
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