• Korean Journal of Child Studies
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• v.25 no.4
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• pp.33-48
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• 2004

The purpose of this study was to examine if mothers and their children used different interaction strategies depending on the interacting contexts. Sixty-five mothers and their children were observed while they interacted with each other in two contexts, that is, a free play context and a joint problem solving context. The result of this study showed that first, the mothers' strategies and their children's strategies were closely related. When the mothers used positive strategies, their children also responded with positive strategies. In contrast, when the mothers used negative strategies, their children also tended to use negative strategies. Second, the contexts which the mothers and their children interacted affected the strategies that the mothers and their children used. The mothers and the children were more likely to use positive strategies in the context of free play than in the context of the joint problem solving. This result points out the importance of free play as the context of producing a positive atmosphere where the mothers and their children interacted positively and had a good time. Suggestions for further study and implications for parents were provided.

• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.129-158
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• 2020

In this study, we presented two geometric tasks to three 11th grade students to identify the characteristics of the images that the students had at the beginning of problem-solving in the problem situations and investigated how their images changed during problem-solving and effected their problem-solving behaviors. In the first task, student A had a static image (type 1) at the beginning of his problem-solving process, but later developed into a dynamic image of type 3 and recognized the invariant relationship between the quantities in the problem situation. Student B and student C were observed as type 3 students throughout their problem-solving process. No differences were found in student B's and student C's images of the problem context in the first task, but apparent differences appeared in the second task. In the second task, both student B and student C demonstrated a dynamic image of the problem context. However, student B did not recognize the invariant relationship between the related quantities. In contrast, student C constructed a robust quantitative structure, which seemed to support him to perceive the invariant relationship. The results of this study also show that the success of solving the task 1 was determined by whether the students had reached the level of theoretical generalization with a dynamic image of the related quantities in the problem situation. In the case of task 2, the level of covariational reasoning with the two varying quantities in the problem situation was brought forth differences between the two students.

• Korean Journal of Cognitive Science
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• v.2 no.2
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• pp.279-307
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• 1990

The present research inverstigates the nature of contextual effects on pronoun reference resolution during text comprehesion.Through three experiments,this research examines how various contextuall informations influence on reference resolution and interact with syntactic variables.In experiment 1,the local context was controlled by biasing the pronoun-sentence context towards a certain preceding referent.The lexical decision time and the forced choice time for the correct referent were measured.The results showed that the local contexts have clear effect on reference resolution.The effects of syntactic ambiguity were also observed though the local context was biased towards a certain referent noun.In experiment 2,the global context effect was examined by introducing the text-thematic context in a preceding sentence while keeping the following pronoun-sentence context neutral.The results showed that the global thematic context bias towards a subject or object in a preceding sentence entails a faster response time than the thematically neutral context.In experiment 3,another aspects of context effects were inverstigated by manipulating the consistency of the preceding thematic context with the following pronoun-sentence context.The results showed that the lexical decision responses and forced referent choice responses were faster when the prethematic context and the post-anaphoric context match than when they mismatch.In sum,the overall results of three experiments of this research indicates that context has a clear effect on pronoun reference resolution during text comprehension.

• School Mathematics
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• v.17 no.3
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• pp.423-446
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• 2015

This study aims to look into the characteristics of argumentation in the task context of 'Monty Hall problem' at a high school probability class. As a result of an analysis of classroom discourses on the argumentation between teachers and second-year students in one upper level class in high school using Toulmin's argument pattern, it was found that it would be important to create a task context and a safe classroom culture in which the students could ask questions and refute them in order to make it an argument-centered discourse community. In addition, through the argumentation of solving complex problems together, the students could be further engaged in the class, and the actual empirical context enriched the understanding of concepts. However, reasoning in argumentation was mostly not a statistical one, but a mathematical one centered around probability problem-solving. Through these results of the study, it was noted that the teachers should help the students actively participate in argumentation through the task context and question, and an understanding of a statistical reasoning of interpreting the context would be necessary in order to induce their thinking and reasoning about probability and statistics.

• School Mathematics
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• v.17 no.3
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• pp.493-513
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• 2015

This study is based on the perspective that tasks in local and global contexts are important to raise students' ability to mathematically analyze and solve diverse phenomena and social issues as members of future civil society. Therefore, this study analyzes 880 real world tasks from 13 types of 7th grade textbook based on 2009 revised Curriculum. As a result of analyzing tasks by using 3 types of context category and 9 types of ways as analysis framework and allowing repetitive coding, personal context was most frequent in the context of Younbokhap. In level of Integrated ways of Yungbokhap, sequential model in which other subjects' topics were not directly related to mathematics problem or presented in simple description is most frequent. The result shows that the textbooks are too limited to develop learner's competencies. Through such analysis result, we discuss about the necessity and methods of developing tasks which allow learners to study further in future society and global context and which connect other subjects' knowledge and social issue with mathematics in deeper level.

• Archives of design research
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• v.20 no.1 s.69
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• pp.111-120
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• 2007

This research proposes contextual space expression as a possibility of solution methods for local and historical issues, the matters that our contemporary architecture has to overcome. When modernistic architecture aimed for anonymous public interests denying the characteristics in historical and spacial contexts, postmodern architecture and regional architecture, etc have been striving to revive discontinued contextual meanings using various historical and environmental elements. While such attempts only borrowed architectural materials by superficially understanding the context, they could not comprehend ceaselessly changing contexts sufficiently. Choosing Jean Nouvel as one of the architects that can explain spatial plan to properly respond to such ever-changing, contemporary contexts, the researcher intended to understand his line of expressional characteristics of his architectural space and analyze his works as examples.

• Communications of Mathematical Education
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• v.16
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• pp.163-164
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• 2003

최근 수학교육에서는 네덜란드의 수학교육이론인 현실적 수학교육(Realistic Mathematics Education: 이하 RME) 이론에 대한 관심이 증대되고 있다. RME 이론의 관점에서 학생들은 만들어져 있는 수학을 수용하는 사람이 아니라 스스로 모든 종류의 수학적 도구와 통찰을 개발하는 활동적 참여자로서 다루어져야 한다. 따라서 수학 학습은 수학화될 수 있는 풍부한 맥락으로부터 시작해야하며, 이러한 수학화를 실제(reality)에 둘 수 있도록 기여할 수 있는 교재로 시작해야 한다. 최근 발간된 'Mathematics In Context(이하 MIC)'는 RME 이론을 반영한 중등학교용 교과서로 맥락 문제가 그 중심이 되고 있으므로 RME 이론의 구체화된 실제를 볼 수 있는 예가 될 수 있다. 지금까지 Freudenthal의 교육철학을 소개하는 문헌 연구를 비롯하여 RME 이론을 기반으로 하는 교수 학습의 효과 분석에 관한 연구가 초등학교를 중심으로 이루어지고 있으나 중등학교 이상의 수준에서 수행된 RME 관련 연구가 부족한 실정이다. 이에 본 연구는 RME 이론이 중등학교 이상에서 수행되는 예를 찾기 위해 MIC 대수 교과서 중 'Comparing Quantities(Kindt, Abels, Meyer, & Pligge, 1998)'를 중심으로 Treffers(1991)의 다섯 가지 교수 학습 원리(구성하기와 구체화하기, 여러 가지 수준과 모델, 반성과 특별한 과제, 사회적 맥락과 상호작용, 구조화와 연결성)가 어떻게 구현되고 있는지 살펴보고자 한다. RME의 수학 학습 이론은 학생들이 맥락과 모델을 사용하면서 다양한 수준의 수학화를 통해서 자신의 수학을 개발할 수 있도록 하는 것이다. MIC 교과서는 맥락 문제와 여러 가지 해결 전략을 제시함으로써 그러한 수학 수업을 할 수 있도록 안내하는 교재가 될 수 있다.

• Journal of the Korean School Mathematics Society
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• v.24 no.3
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• pp.283-308
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• 2021

This study aims to analyze statistical tasks in Korean and Singaporean textbooks with the mathematical modeling perspective and compare the learning contents and experiences of students from both countries. I analyzed mathematical modeling tasks in the textbooks based on five aspects: (1) the mathematical modeling process, (2) the data type, (3) the expression type, (4) the context, and (5) the mathematical activity. The results of this study show that Korean and Singaporean textbooks provide the highest percentage of the "working-with-mathematics" task, the highest percentage of the "matching task," and the highest percentage of the "picture" task. The real-world context and mathematical activities used in Korean and Singaporean textbooks differed in percentage. This study provides implications for the development of textbook tasks to support future mathematical modeling activities. This includes providing a balanced experience in mathematical modeling processes and presenting tasks in various forms of expression to raise students' cognitive level and expand the opportunity to experience meaningful mathematizing. In addition, it is necessary to present a contextually realistic task for students' interest in mathematical modeling activities or motivation for learning.

• Journal of the Korean School Mathematics Society
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• v.24 no.2
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• pp.191-216
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• 2021

This study analyzes how statistical literacy is implemented along with the statistical problem-solving process as described in the Statistical Estimation Unit of the textbook by the 2015 revised mathematics curriculum. The analytical framework was developed from the literature, and consists of 'context', 'variability', 'mathematical and statistical knowledge', 'using of technological instruments', 'critical attitude', and 'communication'. From the perspective of the statistical problem-solving process, the analysis revealed that many tasks equivalent to 'Analyzing Data' but lacked tasks related to 'Interpreting Results' and 'Formulating Questions'. As a result of analyzing the reflection of each element of statistical literacy, 'mathematical and statistical knowledge' was the most common task, but 'critical attitude' and 'using of technological instruments' were rarely dealt with. Based on the results of this textbook analysis, it was intended to provide implications for improving the curriculum and the development of textbooks for the growth of statistical literacy.

• Journal of the Korean earth science society
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• v.25 no.8
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• pp.647-655
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• 2004

PISA (Program for International Student Assessment) 2003, the second cycle of PISA, collected data with respect to students' cross-disciplinary problem solving capabilities. Problem solving is defined as the ability to use cognitive processes to solve real cross-disciplinary problems. For the purpose of PISA 2003 assessment, three problem types were chosen: Decision Making, System Analysis and Design, and Trouble Shooting. For this paper a preliminary analysis on Korean students' responses to the PISA 2003 problem-solving items was conducted. The quantitative analysis mainly focused on the difficulties of the PISA 2003 items, while the quantitative analysis dealt with students' responses to open-ended items, which helped understand Korean students' cognitive style and reasoning processes. According to the item analysis result, Korean students had difficulty in representing their answers with pictures or graphs, and interpreting long and complex text. They also showed low achievement with relatively unfamiliar topics or tasks. The paper concluded with several suggestions on improve the quality of science education.