• Communications of Mathematical Education
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• v.15
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• pp.119-126
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• 2003

학교 현장에서 아이들을 지도하다 보면 문제해결력이 상당히 낮다는 것을 자주 경험하곤 한다. 따라서 그러한 문제점에 대하여 고민하고 다양한 방법을 생각해 보는데, 그 해결 방안으로 소집단 협력학습을 실시하여 아이들의 전반적인 문제해결능력을 높여 보고자 본 연구를 실시하게 되었다. 그러기 위하여 소집단의 구성을 수학 성적을 토대로 하여 5단계로 분류하여 실시하였다. 이에 따른 연구 문제로는 크게 3가지로 정하였는데 다음과 같다. 첫째, 소집단 협력학습이 일제 학습에 비하여 수학 문제해결 능력을 향상시켰는가? (실험반과 비교함) 둘째, 소집단 협력학습이 개인별 수학 문제해결능력을 향상시켰는가? (개인별 비교; 실험반에 국한됨) 셋째, 소집단 협력학습이 수학 교과에 대한 아동들의 수학적인 태도변화를 가져왔는가? 위에서 제시한 연구 문제들을 해결한 결과, 실험반이 비교반보다 문제해결력이 유의미한 수준으로 높게나왔고, 또한 5단계로 분류한 아동들 개개인의 문제해결력에서는 특히 중하위권에 있는 아동들이 실험 후에 문제해결력이 높게 나왔다. 끝으로, 아동들의 수학적인 태도 변화에 관한 설문에서는 소집단 협력학습으로 인하여 수학에 대한 흥미와 자신감이 많이 생긴 것으로 나왔다. 따라서 7차 교육과정에서 주장하는 단계형 수준별 교육과정을 실행하는데 있어서 소집단 협력학습이 하나의 대안이 될 수 있을거라 생각하고, 아동들의 문제해결력을 높이는 또 하나의 수업 형태로서도 시도해 볼만한 것이라 생각한다.

• Journal of The Korean Association For Science Education
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• v.21 no.4
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• pp.668-676
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• 2001

In order to comprehend the internal processes of heterogeneous small-group cooperative learning in science class, this study investigated verbal interaction patterns by the achievement level. Frequency of verbal behaviors was compared in respect of the achievement level, and participation patterns and characteristics were investigated. Verbal interaction patterns by the achievement level were also analyzed based on students' perceptions of interactions. It was found that there were no significant frequency differences between high- and medium-achieving students' verbal behaviors. The verbal interaction patterns showed co-construction processes between high- and medium-achieving students, which was consistent with the students' perceptions of interactions. These suggested that medium-achieving students actively participated in small-group interactions in science class.

• English Language & Literature Teaching
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• v.12 no.4
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• pp.211-234
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• 2006

The purpose of the present study was to investigate how two types of cooperative groupworks will affect learners' academic self-efficacy and English achievement in the first graders of Middle school. Experimental class A was done by similar-level groupwork, experimental class B by differential-level groupwork, and controlled class C by whole classwork. In order to accomplish the goals of the study, questionnaires on learners' academic self-efficacy were examined before and after the experiment. Also English achievement tests were done during the experiment. The analytic results of the questionnaires and English achievement tests were like the following conclusions: First, two types of cooperative groupworks were more effective on improving learners' academic self-efficacy than the whole classwork. Second, two types of cooperative groupworks were more effective on improving two levels' (higher and medium) academic self-efficacy. Third, among three types of classworks, differential-level groupwork was the most effective on improving learners' English achievement. Fourth, in case of medium-level learners, differential-level groupwork was more effective on improving their English achievement than similar-level groupwork.

• Communications of Mathematical Education
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• v.10
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• pp.461-485
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• 2000

21세기 정보화 시대에는 알고 있는 지식의 대부분이 짧은 생성 주기를 가지게 되어, 다양한 변화의 시대가 될 것으로 예상하며 우리는 이것을 체험하고 있다. 열린수업에 대한 연구가 끝나기도 전에 수준별수업, 이번에는 멀티미디어 수업, 올해는 수행평가와 체험수업 등으로 다양한 변화를 권장받고 있다. 그리고 변화는 더욱 가속될 것이며, 또 다른 새로운 이름의 학습모형이 계속해서 나올 것이지만 그래도 일관된 방향성을 찾는다면, 가르친다는 것이 '지식의 전달'에 근거한 권위적인 모델로부터 '배움의 자극'을 제공하는 학생중심의 수업으로, 개별적인 학습활동과 더불어 소집단 공동학습활동을 중시하여, 발표${\cdot}$토의 활동과 관찰, 조사 등의 자기주도적인 학습능력과 협력 학습능력을 배양하는 쪽으로 바뀌어 가는 것이다. 다음의 예는 구서여자중학교 중심 MathPower 교과연구회에서 수행하고 있는 수학적 힘을 기르는 몇 가지 방법으로, 수학적 개념을 가르치는데 가장 적절한 예는 아닐 수도 있지만, ${\cdot}$ 학습수준을 고려한 교양으로서의 수학. ${\cdot}$ 협동적으로 사고하고 문제를 해결하는 의사소통 수단으로서의 수학. ${\cdot}$ 창의성과 인재에 중점을 둔 수학. 교육으로, 다양한 학습자료의 제작 및 활용으로 교실이 다른 사람과 협동적으로 사고하며, 수학적인 아이디어를 나누는 장소가 되어, 가슴이 따뜻하며, 재기발랄한 아이들이 IQ와 EQ, 그리고 창의력을 두루 맛볼 수 있었으면 하는 바램으로 정리한 것입니다.

• Journal of the Korean School Mathematics Society
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• v.4 no.1
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• pp.91-101
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• 2001

Nowadays the number of students that is losing their interest as well as learning desire in mathematics is increasing because of lack of logical thought creative power and abstract expression that present-day mathematics requires by reason of discrepancy of extreme scholastic ability by speciality of mathematics. In these conditions, we reduce the number of learning depression by bringing about learning desire or learning interest on mathematics, and students learn effective learning methods to be voluntary learning of discovery themselves that studies basic concepts, principles, rules through logical thought of students to solve difference of scholastic ability, thus we assumed that debate studies through small group activities in ability group would be one of ways to improve learning power, so the results of our research are as follows; 1. Debate studies through small group activities were very effective because of reinforcing the achivement level of students. 2. By this learning method, an individual or cooperrative learning was fostered, and lively discussions were accomplished. And learning attitudes of students were changed by the extension of cooperative learning abilities through advices or by themselves. 3. A personal opinion is payed regard by accepting an individual idea in the process of making questions. Learners can correct wrong concepts in the process of correcting wrong answers. So if we apply above-mentioned studies with easy contents from the lower grades, the effectiveness would increase as learners go to the higher grade. According to the results of various researches as follows; "The teaching-learning method oriented coopperative debate studies is effective to find solutions to mathematical problems." If small group activities are applied in the educational situation to search the course of a desirable cooperation learning through small group activities to improve scholastic abilities for a discoverable problem-solving power. I think that the teaching-learning method oriented cooperative debate studies is one of the most desirable methods to increase the problem-solving ability.

• Journal of the Korean School Mathematics Society
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• v.9 no.3
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• pp.249-263
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• 2006

The purpose of this study is to investigate the characteristics of 'best practire' in mathematics and suggest some solutions to several problems emerging in mathematics classes of secondary schools. The study was carried out by using qualitative research methods such as class observations and in-depth interviews with six teachers. Based on the collected data, we could sort out the major patterns which characterize 'the good mathematics teaching' at schools in Korea. The common characteristics of best practice in mathematics are drawn out from the six cases. The common characteristics include revising the curriculum and text books, realistic mathematics education, using ICT and meta-cognition, introduction with motivation and interest, performance assessment and managing differentiated small group. Results implied that six teachers used a variety of instructional methods and strategies which is related with the common characteristics of good mathematics teaching. Also these teachers not only improved their own classroom practices but also participated in various professional community of mathematics education and shared their practical knowledge. In conclusion assorted efforts from the government and the school principals as well as the teachers are prerequisite for practicing and spreading good mathematics teaching across the classrooms.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.587-603
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• 1998

Being in Learning-accomplishing rate on mutual cooperation studies of small group by different class, we can find that the sujective class of high group is much more efficient than the compared class of high group and that the subjective class of low group is more efficient than the compared class of low group as times goes. Moreover, in analysis of all directions on mathematical attitude, high group appears to be a great efficient in all areas such as confidence, flexibility, reaction, value, etc. and low group seems to have a little effect, by comparing the subjective class with the compared class. A. The result of a scholastic ability test High group had a great effect in the result of the first (Number and an expression) and second(An equation of a figure) scholastic ability test. As the time of research goes, the difference of average between the subjective class and the compared class has increased. Low group had no effect in the result of the first (Number and an expression) and the second (An equation of figure) scholastic ability test. But the difference of average grade between the subjective class and the compared class proved to be some efficient as time goes. (the first test is 0.94 and the second test is 3.33)We can find that the result of the third test (An exponent and log function) turned out be efficient. B. The change of mathematical attitudeHigh group had a great effect in confidence(+1.21), fiexibility(+1.92), will(-0.06), curiosity(+2.64), reaction(+1.50), value(+1.44). Low group appeared to be a little efficient in comparison between the subjective class and compared class. the average of both the subjective class and the compared class in low group decreased if not the result of pre-test but in that of pose-test. Therefore, we can find that the difference between mathematics of maddle school and that of high school gets bigger in Low group.C. The result of a question examinationAfter this research, the reaction that It is helpful to studying accomplishm- ent is 33.7%, the reaction that It is not helpful is 14.7%. After all, this research appears to be a positive reaction. After this study, the change of studying will seems to be much more not in Low group but in High group.