A Study On The Reasons For The Mistakes Of The Junior High School Students In Solving The Triangle Problem And The Improvement Strategies

Face the three consecutive chapters of mathematics triangle problems,students frequently make mistakes,even though teachers repeatedly stress and students are overworked.Students and teachers don't know why or how to change.Therefore,it is of great significance to study the errors in solving triangle problems and to find effective strategies to avoid or reduce them.The two research questions in this study are:(1)What are the influencing factors that cause the middle school student to solve the triangle problem error?(2)What are the effective improvement strategies for solving triangle problem in middle school students?First of all,literature analysis.To understand the popular regions and trends of research on problem-solving factors and improvement strategies for middle school students.Second,questionnaire survey of 320 Tianjin PJ Middle School students using sampling survey method,case study of 70 students in two regular classes.The questionnaire and the case study is valid.Finally,we interview experienced teachers to find effective strategies to avoid or reduce errors in solving triangle problems.Based on the above research,we get the conclusion.The influencing factors that lead to the error of solving triangle problem in middle school students are knowledge factor,technology factor,strategy factor and psychology factor.Knowledge factor is mainly reflected in the learning process,such as the concept ambiguity,the similar concept confusion,the neglect theorem existence condition.Technical factor is mainly reflected in the process of solving problems,such as an error in understanding,calculating,formatting,thinking and so on.Strategy factor include cognitive strategy,metacognitive strategy and resource management strategy.psychology factor mainly includes psychological ability,psychological situation,emotional factor and motivation factor.The improvement strategies for avoiding or reducing the error of solving triangle problem in junior high school students are as follows.First,enhancing knowledge understanding.To understand the level of students' knowledge and set up the introduction link properly;highlight the key points and emphasize the easy mix;choose reasonable teaching method;explain in depth examples and enumerate typical cases.Second,improve the ability to solve problems.To attach importance to examination questions;improved computing capacity;standard solution format;clear problem-solving ideas;teaching answer skills.Third,choose appropriatelearning strategies.Developing learning methods,develop self-monitoring ability and reflective ability,make rational use of resources.At last,develop a healthy mental stat.Focus on psychological education,stimulate learning interest.