메타인지 학습이 고등학생들의 수학학습에 미치는 영향 = The Influence of Metacognitive Learning on High School Students' Mathematical Problem Solving Ability and Belief

다국어 초록 (Multilingual Abstract)

There are many students who spend much time on studying math but not all of them are good at math. It is important to have self-esteem to increase student's interests and positive attitudes for math. In other words, when students study math, they should recognize what they are doing and explain how they solve the math problem. For this, students need metacognitive learning to monitor their problem-solving process. This study intends to examine effects of the metacognitive learning which influence to students' problem solving abilities and mathematical beliefs.
The participants of this study are two second grade students of high school. During participants' metacognitive learning, I collected data relate to their learning characteristics. Analyzing the data, I found the followings:

First, students estimate the speed of answering more valuable than the process of answering, measure the quality of studying by physical time.

Second, students can develop higher mathematical thinking using strategy that supplemented their weakness, which has positive effects on their problem solving abilities.

Third, students are more engaged in metacognitive learning environment, and they have learning habit which help them to solve mathematical problem systematically.

목차 (Table of Contents)

• I. 서 론 1
• 1. 연구 필요성 및 목적 1
• 2. 연구 문제 2
• 3. 연구의 제한 및 한계 3
• II. 이론적 배경 4
• 1. 메타인지 4
• 가. 메타인지의 개념 4
• 나. 메타인지의 구성요소 5
• 2. 수학교육에서 메타인지 7
• 가. 문제해결과 메타인지 7
• 나. 메타인지적 문제해결 모형 8
• III. 연구 방법 및 절차 14
• 1. 연구 방법 14
• 2. 연구 대상 15
• 3. 자료수집 16
• 4. 연구 절차 17
• IV. 연구 결과 분석 18
• 1. 학생들의 학습 습관 18
• 2. 학생들의 수학학습 장·단점 및 극복방법 21
• 3. 메타인지 노트 활용 학습 33
• V. 결론 및 제언 45
• 참 고 문 헌 48