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Elementary School Exercise Teaching Goal Design Practice Research
Author: WeiShuQiang
Tutor: XuBinYan
School: East China Normal University
Course: Subject Teaching
Keywords: examination paper analysis the errors of students the mathematical understanding analytic geometry
CLC: G633.6
Type: Master's thesis
Year: 2011
Downloads: 46
Quote: 0
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Abstract
Examination paper analysis, an important link in mathematics teaching, is a special form of teaching.It can timely feedback test and evaluation of results, let the students understand their knowledge and ability level and help students make up for the defects, correct mistakes. More importantly, paper analysis can help students improve the knowledge system and thinking system, improve the ability to analyze and solve problems. According to the analytic geometry knowledge as the basis, through the test investigation of students in solving analytic geometry problem of error types, and analyzes the cause of these errors. Based on the errors of students, the author attempts to understand a mathematics teaching as the core of examination paper analysis model, received the good teaching result. This research mainly draw the following conclusions:(1) Students in solving analytic geometry problem, there may be 5 types of errors:reading comprehension errors, strategy selection errors, mathematical conversion errors, skills processing errors and mathematical coding errors. Among them, skills processing errors and strategies errors are the highest frequency of occurrence errors, followed by the reading errors, the mathematical transformation and mathematical coding errors are relatively few. In solving analytic geometry problem, skills processing and strategies selection errors are the biggest obstacle.(2) The defects of cognitive schemata and mathematical concept understanding being insufficient, excessive psychological motivation and the wrong idea lead to reading comprehension errors; having strong psychological motivation and the wrong idea of mathematics,cognitive defects, mathematical problem solving experience effects lead to strategy selection errors; mathematical foundation knowledge of the weak, the defects of cognitive schema, the defects on mathematics problem solving strategies and mathematical problem solving experience understanding lead to skills processing errors;cognitive defects and the defects on mathematics problem solving experience understanding lead to mathematical transformation; The weak of basic knowledge mathematics lead to mathematics coding errors.(3) More than 80% students recognized my paper analysis ,and think that this kind of analysis will help they learn mathematics.89% of the students recognised inspection to improve the accuracy of mathematical problem solving; 93% of the students accepted to improve mathematical understanding is helpful to improve the ability of solving mathematical problems; 68.9% of the students accepted to strengthen mathematical understanding can simplify mathematical operation, rapid problem solving; 76% students think that solving problems of adjustment will help to problem solving..To improve the effectiveness of mathematics papers analysis, we must update the mathematics teacher’s teaching philosophy, focusing on the understanding of mathematics teaching. Teachers should carefully analyze students’ errors and the cause of the error, and paper analysis must be based on students’ errors.

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