수학적 메타인지 활동을 통한 문제해결 과정에서 나타나는 사고력과 문제해결력의 변화에 관한 연구 : 10-가 방정식 단원을 중심으로 = A Study on the Change of Thinking Power and Problem Solving Abilities in Problem Solving Process through Mathematical Metacognitive Exercises

다국어 초록 (Multilingual Abstract)

The purpose of this study is to know change for thinking power and problem solving abilities in problem solving process through mathematical metacognitive exercises.
In order to achieve the purpose of this study, I propose a subject of study as follows:
1. How does mathematical metacognitive exercises influence student's thinking power?
2. How do mathematical metacognitive exercises influence student's problem solving abilities?
To solve these problems, qualitative case data such as in-depth interviews with teacher and student, observation paper, own report and worksheets are collected and analyzed. The subjects of this study are a high school student in Seoul. The student took part in 8 experiment for 4 weeks.
The results of this study were as follows:
First, the student tried to seek the key contents of problems to read and underlie them in problem solving process through mathematical metacognitive exercises. And she set up problem solving plans, tried to solve them. Then, she analyzed, modified and checked the problem solving process after she finished solving problems. As a result, her thinking power were greatly developed in problem solving process through mathematical metacognitive exercises.
Second, she obtained developed thinking power in problem solving process through mathematical metacognitive exercises. And she showed successful problem solving in problem solving process. Then, her problem solving method were positively improved and changed. As a result, her problem solving abilities were greatly developed in problem solving process through mathematical metacognitive exercises.

목차 (Table of Contents)

• Ⅰ. 서론 = 1
• 1. 연구의 필요성 및 목적 = 1
• 2. 연구 문제 및 제한점 = 3
• Ⅱ. 이론적 배경 = 4
• 1. 메타인지 = 4
• 2. 메타인지와 문제해결 = 10
• Ⅲ. 연구 방법 = 17
• 1. 연구 대상 및 도구 = 18
• 2. 연구 절차 = 21
• Ⅳ. 연구결과 = 25
• 1. 메타인지 활동을 통한 사고력 변화 분석 = 25
• 2. 메타인지 활동을 통한 문제해결력 변화 분석 = 41
• Ⅴ. 결론 및 제언 = 44
• 참고문헌 = 47
• ABSTRACT = 50
• 부록1. 사전면담 질문지 = 52
• 부록2. 사후면담 질문지 = 53
• 부록3. 방정식 문제 = 54