• Education of Primary School Mathematics
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• v.16 no.3
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• pp.211-227
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• 2013

This study is designed to help pre-service teachers to improve their teaching skills in elementary math class. For this, the consulting program with 5-steps was planned and applied to three elementary pre-service teachers. Each class the teachers performed was analyzed by both Flanders's Interaction Analysis Category System and participant observation. As results of consulting, the common characteristics of three pre-service teachers are shown. Firstly their teaching style is non directive, but they fail to induce their students spontaneously respond. They often ignore or don't use their students' respond they think incorrect to develop the next ideas. Simply saying, their classes are typically teacher-oriented but they are not authoritative. It is proved that consulting program is effective for improving developing non directive teaching skills, but is not much effective decreasing teachers' comment and increasing students' rolls in a math class.

• School Mathematics
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• v.13 no.3
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• pp.385-404
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• 2011

Currently, reflective teaching has been actively studied in terms of teachers' professional development relating to classroom instruction. The present study looked at, using the method of a case study, the differences between a novice and an experienced elementary school mathematics teachers' beliefs demonstrated during their reflective teaching. The findings of the study show that at the intial stage of reflective teaching, the novice teacher identified few errors during class and was not enthusiastic about applying the results of her reflective teaching due to lack of confidence. By contrast, the experienced teacher identified more errors during class than the novice teacher and had fewer reflections due to a sense of confidence. As the teachers' engagement in reflective teaching increased with time, they both felt the need for advice from experts on mathematics teaching and directed their attention to interactions with their students away from teacher-centered instruction. Further, the novice teacher engaged in more teacher-student interactions than the experienced teacher, and the experienced teacher increased the frequency of teaching reflection. Based on the findings, the article suggests a number of implications for the cooperative reflective teaching between novice and experienced teachers and the improvement of classroom instruction.

• School Mathematics
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• v.9 no.3
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• pp.375-396
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• 2007

The purpose of this study is to analyze how a mathematics teacher and a high school student make the meaning in a graph and how aspects of the interpretation of a graph are interacted during the signification process, and to suggest considerations for teaching and learning of a graph. The findings of a case study have led to conclusions as follows: All of them have a difficulty in making the meaning in a graph and construct the meaning as a nested signification model. In the process which they make the meaning, they interrelate cognitive, contextual, and affective aspects and construct interpretants. In this process, a teacher focuses on cognitive aspect, based on a qualitative approach. But a student considers contextual aspect more, based on a quantitative approach. This study suggests three considerations for teaching and learning of a graph.

• Communications of Mathematical Education
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• v.14
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• pp.229-250
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• 2001

협동 학습은 학습자간의 긍정적 상호 작용을 촉진하여 학습의 극대화를 도모하고자 하는 수업 방법으로, 수학 과목에서 협동 학습은 수학에 대한 성취도, 태도, 문제 해결력 등 인지적, 정의적 영역에서 긍정적인 효과를 나타내고 있다. 이에 본고에서는 수학 과목에서 협동학습에 대한 국${\cdot}$내외의 연구 동향을 살펴보고, 중학교 학생들의 학습양식과 수학성취도와의 관계를 조사하여 학습양식에 따라 소집단을 구성한 수학에서의 협동 학습을 모색하고자 한다.

• Korean Journal of Child Studies
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• v.36 no.5
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• pp.95-113
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• 2015

This study aimed to develop and validate a scale which could be used to evaluate mathematical interactions of parents with their young children. The subjects comprised 408 mothers of 4-6-year-old children. Means, standard deviation, $x^2$, Cramer's V, exploratory factor analysis, confirmatory factor analysis, Pearson correlations, and Cronbach's ${\alpha}$ were calculated. First, 49 items were developed through a review of relevant research, parent interviews, confirmation of item adequacy and content validity. These items were then edited down to a final list of 24 items representing 4 factors identified by exploratory factor analysis. Second, this 24-item. 4-factor scale was shown to have adequate construct validity, norm validity, and reliability by confirmatory factor analysis, Pearson correlation analysis, Cronbach's ${\alpha}$. In conclusion, the final mathematical interaction scale for young children's parents was composed of 24 items with 4 factors: "interaction regarding numbers and operations, measurements, and patterns", "interaction regarding data collection and result presentation", "interaction with picture books", and "interaction regarding shapes and figures"

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.203-219
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• 2010

Several studies have reported on how and what mathematically gifted students develop superior ability or creativity in geometry and algebra. However, there are lack of studies in probability area, though there are a few trials of probability education for mathematically gifted students. Moreover, less attention has paid to the strategies to develop gifted students' creativity. This study has drawn three teaching strategies for creativity development based on literature review embedding: cognitive conflict, multiple representations, and social interaction. We designed a series of tasks via reconstructing, so called Simpson's paradox to meet these strategies. The findings showed that the gifted students made Quite a bit of improvement in creativity while participating in reflective thinking and active discussion, doing internal and external connection, translating representations, and investigating basic assumption.

• The Mathematical Education
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• v.46 no.4
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• pp.423-443
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• 2007

Based on the framework of Huffered-Ackles, Fuson and Sherin(2004), data were analyzed in terms of 3 components: explaining(E), questioning(Q) and justifying(J) of students' mathematical concepts and problem solving in a math classroom. The students used varied presentations to explain and justify their mathematical concepts and ideas. They corrected their mathematical errors or misconceptions through discourses. In addition, they constructed and clarified their concepts and thinking while they were interacted. We were able to recognize there was a special feature in discourses that encouraged the students to construct and develop their mathematical concepts. As they participated in math class and received feedback on their learning, the whole class worked cooperatively in a positive way. Their discourse was improved from the level of the actual development to the level of the potential development and the pattern of interaction moved from ERE(Elicitaion-Response-Elaboration to PD(Proposition Discussion).

• Education of Primary School Mathematics
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• v.10 no.1 s.19
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• pp.15-28
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• 2007

From a social constructivists' perspective, knowledge is not transmitted by language but it is constructed by social interactions with others. That is, it is viewed in social constructivism that learning is a process in which knowledge is constructed by communicative interactions with more capable others. In this vein, a class might be analyzed and characterized in terms of interactional patterns of teacher-student and student-student in class. For this, a primary math class was selected and observed and it was analyzed by the Flanders category system to investigate the effects of the math teaching based on verbal interactions on the learning of math. The class was taught in a teacher-centered and direct way but in the class math knowledge was taught through univocal communications in the form of question-answer. The results of this study appeared to suggest that verbal interactional patterns should take place frequently in math teaching in the sequence of a teacher's questions$\to$students' extensive responses $\to$ positive feedback for the students' responses by the teacher $\to$ the acceptance of the students' responses $\to$ the teacher's explanation or students' questions. In other words, math might be taught more effectively through the verbal discourse patterns proposed in this study.

• Communications of Mathematical Education
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• v.13 no.2
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• pp.495-514
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• 2002

본 연구의 목적은 수학교실에서 의사소통 불안에 따른 이질 집단과 동질 집단으로 소집단 구성을 달리하였을 때 정의적 영역에서 소집단 협동학습 효과의 차이가 있는지 알아보는데 있다. 이러한 연구 목적을 달성하기 위해 다음과 같은 연구 문제를 설정하였다. 첫째, 의사소통 불안에 따른 동질 집단과 이질 집단간에 정의적 영역(수학적 태도, 자아존중감)에서 차이가 있는가? 둘째, 동질 집단과 이질 집단간의 비교에서 어느 집단의 불안 수준이 정의적 영역(수학적 태도, 자아존중감)에 더 긍정적인 효과가 있는가? 이러한 연구 문제를 해결하기 위하여 독립변인은 협동학습에서의 의사소통 불안에 따른 집단 구성 형태이고 종속변인은 정의적 영역(수학적 태도와 자아존중감)인 원인비교 연구 설계(casual-comparative research design)를 세워 원인비교 연구를 실시하였다. 본 연구의 결과로부터 다음과 같은 결론을 얻을 수 있다. 첫째, 의사소통 불안에 따른 집단 구성방법이 수학과 소집단 협동학습의 효과, 특히 자아존중감 향상에 영향을 끼치기 때문에, 효과적인 협동학습을 위해서 학생들의 의사소통 불안을 측정하여 이질 집단으로 구성할 필요가 있다. 둘째, 의사소통 불안에 따른 집단 구성을 했을 때 이질 집단의 불안 하위수준 학생들이 자아존중감 향상에 가장 큰 효과를 볼 수 있다. 결론적으로, 수학 교실에서의 의사소통 불안은 집단의 상호작용 행동에 영향을 준다고 말할 수 있고 의사소통 불안에 따른 이질 집단은 자아존중감 향상에 효과적인 집단 구성방법임을 시사한다.

• Journal of the Korean School Mathematics Society
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• v.25 no.1
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• pp.39-60
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• 2022

In this study, in order to support the expression of group creativity of high school students, we developed mathematics learning contents linked with mobile and online/offline that obtain the maximum and minimum values of the function within a limited range. This learning content was developed in connection with the 'environment', a cross-curricular learning topic. We explored the concept of group creativity in school mathematics. Its manifestation process, elements of group creativity expression process, and mobile and on/offline implementation functions were also explored. Then, we developed a hybrid app, 'Making the Best Box that Thinks of the Earth', which can express group creativity through mobile and online/offline-linked cooperative learning. A learning management system (LMS) and a teaching and learning guidance plan were also developed to efficiently operate mobile and online/offline-linked math learning using the app in schools. Our study found that the hybrid app, 'Creating the Best Box that Thinks of the Earth', was suitable for promoting collective fluency and collective sophistication based on complementary-metacognitive interaction.