• Education of Primary School Mathematics
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• v.15 no.3
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• pp.219-233
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• 2012

Practicality and value of mathematics can be verified when different problems that we face in life are resolved through mathematical knowledge. This study intends to identify whether the fraction teaching is being taught and learned at current elementary schools for students to recognize practicality and value of mathematical knowledge and to have the ability to apply the concept when solving problems in the real world. Accordingly, contextual problems and noncontextual problems are proposed around fractional arithmetic area, and compared and analyze the achievement level and problem solving processes of them. Analysis showed that there was significant difference in achievement level and solving process between contextual problems and noncontextual problems. To instruct more meaningful learning for student, contextual problems including historical context or practical situation should be presented for students to experience mathematics of creating mathematical knowledge on their own.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.1-25
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• 2012

The purpose of this study is to extract the conceptual nature of contextualization in mathematical problems and to analyze problems according to its conceptual framework based on the perspective of RME (Realistic Mathematical Education) which emphasizes mathematising through realistic context in mathematics textbooks of the 4th grade in Korean textbooks and the U. S. materials. "Contextualization" was analyzed by three elements such as everydayness, variety, and mathematical immanence. As results, Korean textbook showed much less in the amount of contextual problems and also represented lower contextualization in contextual problems than that of American textbooks.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.535-555
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• 2012

The aim of this study is to analyze how the context problems by prospective teachers are solved. In order to achieve this aim, this study examined the conceptual nature of context based on previous studies. I developed context problems about linear programming with reference to the results of the examination about the natural characterization of context. These problems were given to 44 prospective teachers and qualitative methods were used to analyze the data obtained from the written solutions by the participants. This study also developed the framework descriptors for this analysis in the light of the Mathematics Scoring Rubric from Illinois Department of Education(2005). The data was analyzed and interpreted in terms of this framework and the specific characteristics shown in the process of problem solving by the teachers were categorized into four types as a result.

• Journal of Elementary Mathematics Education in Korea
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• v.7 no.1
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• pp.23-44
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• 2003

The purpose of the study is to examine the phenomenon presented the process of problem solving activities of students with the mathematical context information accompanied problem based on Freudenthal's mathematizing theory and Realistic Mathematics Educations about cognitive and emotional aspects. In conclusion, taking a look at the results of study, open-ended contextual problem was had to offer in order to pull out various solutions. Teachers should help students develop their own methods, discuss their methods with others' and reinvent formal mathematics and its constructive process under the guidance of the teachers.

• Journal of the Korean School Mathematics Society
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• v.9 no.2
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• pp.141-161
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• 2006

In this study, we classified word problems related to real life presented in elementary mathematics textbooks into five types of context problems(location, story, project, scrap, theme) suggested by Freudenthal(1991), and applied context problems to mathematics class to analyze the influence on students' mathematical belief and attitude. Also, we examined the types of context problems preferred according to academic performance and the reasons of preference within a group experiencing context problems. The results of the study are as follows. First, almost lessons in the mathematics textbook presents word problems related to real life, but the presenting method is inclined to a story type. Also, the problems with a story type are presented fragmentarily. Therefore, although these word problems are familiar to the students, they don't include contextual meanings and cannot induce enough mathematical motives and interests. Second, a lesson using context problems give a positive influence on their mathematics belief and attitude. It is also expected to give a positive influence on students' mathematics learning in the long run. Third, the preferred types of context problems and the reasons of preference are different according to the level of academic performance within the experimental group.

• The Mathematical Education
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• v.60 no.4
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• pp.509-527
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• 2021

We investigated whether and how pre-service teachers took the realistic contexts seriously in the course of solving word problems; additionally, we investigated how pre-service teachers evaluated students' realistic and non-realistic answers to word problems. Many pre-service teachers, similar to students, solved some of the realistic problems unrealistically without taking the realistic contexts seriously. Besides, they evaluated students' non-realistic answers higher than the realistic answers. Whether the pre-service teachers could solve problems realistically or not, they did not appreciate students' realistic considerations for the reasons that those were not fitted to the intentions of the word problems, or those were evidence of the flaws of the problem. Furthermore, the analysis of premises implied in the pre-service teachers' evaluation comments showed the implicit didactic contracts about realistic word problem solving that they accepted and also anticipated students to follow. Our analysis of the pre-service teachers' conceptions of realistic word problems can help teacher educators design the teacher program to challenge and revise pre-service teachers' folk pedagogy.

• 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.

• 한국정책학회보
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• v.21 no.1
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• pp.103-130
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• 2012

정책변화가 왜 발생하였는가? 그와 같은 정책변화에 어떠한 요인들이 작용하였는가? 또한 그와 같은 정책변화가 어떠한 과정을 거쳐서 발생하였는가? 본 연구는 정책변화의 복잡성을 체계적으로 설명할 수 있는 방법을 제시하고자 정책연구의 지배적인 패러다임인 객관적·과학적 연구방법에서 탈피하여 사회적 형성주의 관점에서 맥락, 문제정의 및 대상 집단의 사회적 형성이 정책변화에 어떠한 영향을 미치는가를 알아보고자 하였다. 이를 위하여, 본 연구는 문제정의 이론과 대상 집단의 사회적 형성 이론의 결합을 통하여 연구 모형을 구축하였다. 또한 이와 같이 구축된 모형에 의하여 정책결정자가 문제 정의와 대상 집단의 사회적 형성에 어떤 역할을 하며, 그 결과가 정책변화에 어떻게 반영되는지를 정책의 논리, 근거 및 메시지의 측면에서 양도소득중과제도를 대상으로 분석하였다. 마지막으로, 이러한 분석을 통하여 도출된 시사점에 대하여 논의하였다.

• Journal of the Korean Geographical Society
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• v.35 no.1
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• pp.95-120
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• 2000

구성주의 수업은 삶의 경험 혹은 나의 문제로 전환된 문제를 학습주제로 하여, 교사와 학습자, 학습자간에 상호성과 상보성이 전제된 대화화 협력을 통해, 맥락에 적합한 지식을 구성하는 활동이라 할 수 있다. 구성주의 지리교육은 지리학을 위해 지리적 지식을 구성하는 것이 아니라, 지리적 삶을 위해 지리적 지식을 구성하는 것이다. 이것은 지리적 맥락과 맥락의 구성에 충실할 때 가능해 진다. 방법론적으로는 생활 주변에서 볼 수 있는 지리적 사상을 학습대상으로 하여, 이들을 그림이라는 상징을 통해 학습자 스스로 맥락에 따라 구성, 재구성하는 과정 속에 지리적 지식이 구성되게 하는 것이다.

• Journal of Educational Research in Mathematics
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• v.22 no.1
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• pp.101-115
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• 2012

Analogy, a plausible reasoning on the basis of similarity, is one of the thinking strategy for concept formation, problem solving, and new discovery in many disciplines. Statistics educators argue that analogy can be used as an useful thinking strategy in statistics as well. This study investigated the characteristics of students' analogical thinking in statistics. The mathematically gifted were asked to construct similar problems to a base problem which is a statistical problem having a statistical context. From the analysis of the problems, students' new problems were classified into five types on the basis of the preservation of the statistical context and that of the basic structure of the base problem. From the result, researchers provide some implications. In statistics, the problems, which failed to preserve the statistical context of base problem, have no meaning in statistics. However, the problems which preserved the statistical context can give possibilities for reconceptualization of the statistical concept even though the basic structure of the problem were changed.