장의존-장독립 인지 양식의 학습자가 수학 과제 유형별 의사소통 과정에서 나타내는 특성을 파악하여 학습자의 인지 양식과 수학 과제 유형이 수학적 의사소통에 미치는 영향을 파악하는 것이 본 연구의 목적이다. 이를 위해 학생의 인지 양식과 수학학습 성취 수준, 성별을 고려하여 초등학교 6학년 학생 8명을 장의존-장독립의 4인 1모둠으로 편성하였다. 각 모둠에 4가지 유형의 수학 과제를 제시하고 수학적 의사소통 과정을 통해 협력하여 해결하도록 하였다. 학생들의 수학적 의사소통 과정은 수학적 의사소통 활성화와 말하기, 듣기 과정의 특징으로 나누어 분석하였다. 그 결과 인지적 수준이 높은 수학 과제는 학생들의 유의미한 수학적 의사소통 활성화에 긍정적 영향을 미쳤다. 그리고 학습자의 인지 양식에 따른 과제 접근 방법의 차이는 말하기, 듣기 의사소통 과정에 영향을 주었다.
장의존-장독립 인지 양식의 학습자가 수학 과제 유형별 의사소통 과정에서 나타내는 특성을 파악하여 학습자의 인지 양식과 수학 과제 유형이 수학적 의사소통에 미치는 영향을 파악하는 것이 본 연구의 목적이다. 이를 위해 학생의 인지 양식과 수학학습 성취 수준, 성별을 고려하여 초등학교 6학년 학생 8명을 장의존-장독립의 4인 1모둠으로 편성하였다. 각 모둠에 4가지 유형의 수학 과제를 제시하고 수학적 의사소통 과정을 통해 협력하여 해결하도록 하였다. 학생들의 수학적 의사소통 과정은 수학적 의사소통 활성화와 말하기, 듣기 과정의 특징으로 나누어 분석하였다. 그 결과 인지적 수준이 높은 수학 과제는 학생들의 유의미한 수학적 의사소통 활성화에 긍정적 영향을 미쳤다. 그리고 학습자의 인지 양식에 따른 과제 접근 방법의 차이는 말하기, 듣기 의사소통 과정에 영향을 주었다.
The purposes of this study were to identify the characteristics of students with different cognitive styles in the communication process according to the types of mathematical tasks and investigate the effects of their cognitive styles and types of mathematical tasks on their mathematical communicat...
The purposes of this study were to identify the characteristics of students with different cognitive styles in the communication process according to the types of mathematical tasks and investigate the effects of their cognitive styles and types of mathematical tasks on their mathematical communication. For this, the investigator selected subjects according to the field dependent-field independent cognitive style by Witkin et al.(1977, p. 7). Mathematical tasks were developed in the areas of numbers and operations, regularity, and measurement according to the four types of Stein & Smith(1998, p. 269), which include the Memorization, Procedures without Connections, Procedures with Connections, and Doing Mathematics tasks. The selected students were divided into homogeneous groups according to their cognitive styles, and their communication processes according to the four types of mathematical tasks were observed through participation and videotaped. The videotapes were then transcribed and analyzed in protocols. The conclusions is that mathematical tasks of high cognitive level had positive effects on the activation of significant mathematical communication among the students and that differences in approaches to tasks according to their cognitive styles influenced their communicative activities in speaking and listening.
The purposes of this study were to identify the characteristics of students with different cognitive styles in the communication process according to the types of mathematical tasks and investigate the effects of their cognitive styles and types of mathematical tasks on their mathematical communication. For this, the investigator selected subjects according to the field dependent-field independent cognitive style by Witkin et al.(1977, p. 7). Mathematical tasks were developed in the areas of numbers and operations, regularity, and measurement according to the four types of Stein & Smith(1998, p. 269), which include the Memorization, Procedures without Connections, Procedures with Connections, and Doing Mathematics tasks. The selected students were divided into homogeneous groups according to their cognitive styles, and their communication processes according to the four types of mathematical tasks were observed through participation and videotaped. The videotapes were then transcribed and analyzed in protocols. The conclusions is that mathematical tasks of high cognitive level had positive effects on the activation of significant mathematical communication among the students and that differences in approaches to tasks according to their cognitive styles influenced their communicative activities in speaking and listening.
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