• Proceedings of the Korea Society of Mathematical Education Conference
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• 2006.10a
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• pp.63-78
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• 2006

미국에서 학교 수학 수업에서의 개방적 접근은 일본과 미국 연구자들의 공동연구의 결과물이다. 우리는 그것에 대한 세 가지의 측면을 실례로 살펴보면 접근을 시도하겠다. : 1) 개방된 과정(open process)(문제의 해답에 이르는 방법이 여러 가지이다: 2) 개방형 문제(open-ended problems)(문제에 대한 정답이 여러 가지가 될 수 있는 문제), 3) 일본에서 '문제로부터 문제(from problem to problem)'라고 불리는 것 혹은 문제고안(problem formulating)하기(학생들이 새로운 문제를 명확하게 나타내기 위해 자신의 생각을 써 내려 가는 것)수학 지도에서 일본의 개방적 접근에 대한 우리의 이해를 바탕으로, 우리는 미국에서 보다 효과적인 수학 지도를 위한 몇 가지 방법을 선택 적용해 보았다. 이러한 접근의 대부분은 학습 계획안을 만들 때 여러 교사가 함께 참여하고 일련의 토론과 수정과정을 거친 뒤, 많은 부분이 개선되고 효과적인 계획안을 만들어 낸다는 점에서 미국의 수학교사들에게 새로운 것이다. 또한 이 접근법에서는 교사가 문제를 해결하는 과정에서 학생 개개인이나 그룹을 활동적으로 관찰하여 그들의 활동을 비교하고 토론한다.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.483-501
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• 2013

The present study is to focus on thinking about the possibility of using mathematical modeling in the elementary schools. As well-known, mathematical education in Korea, even though students' high achievement in mathematics, has a lot of problems regarding their attitudes toward mathematics. Mathematical modeling is regarded as playing an important role in helping improve the current problems embedded in elementary mathematics education. Thus, this study reviewed the background that mathematical modeling attracted lots of attentions by many mathematics researchers, the definitions of mathematical modeling and the similarities and differences between problem solving and mathematical modeling. In addition, the processes and main features of well-known three representative models of mathematical modeling were reviewed, and each case of research on mathematical modeling in the elementary schools in Korea and foreign countries was introduced, respectively. Finally, this study suggests that mathematical modeling needs to be dealt with in the elementary school curriculum, together with the improvement of teachers' recognition for mathematical modeling.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.523-543
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• 2009

We conduct a survey to find out the academic achievement factors for 484 second grade students at two middle schools in Busan city and Kyungsangnam Do, respectively. The survey questionnaire includes home environment and background, students' personal character, relationships with friends, learning attitudes towards improving problem solving, variables related to teaching methods and teachers, the school's computer facilities, mobile class by students levels, private education current situations, etc. Private education current situations are presented according to regions. Based on survey data we perform factor analysis to find major factors affecting mathematics academic achievement. We analyze the characteristics of the major factors. We also propose basic data and implications to mathematics educators and mathematics teachers at middle schools for improving middle school mathematics education quality.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.3
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• pp.487-507
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• 2011

Despite the recent increased attention to mathematics teacher education there have been lack of empirical studies on how to teach teachers. A study of mathematics instruction for prospective teachers can be conducted either by a teacher educator's critical reflection on her teaching or by observation of others' teaching practices. This paper was from the author's observation of a mathematics instruction course for future elementary teachers at the University of California at Irvine. As such this paper described in detail how the course was implemented throughout the quarter and drew implications for a teacher preparation program in Korea. As the course had a specific purpose of promoting future teachers' expertise in mathematics instruction and employed various strategies that were different from a typical university course, this paper is expected to provide teacher educators with the insight of an alternative teaching style and to provoke discussion of how to connect theory to practice for effective teacher education.

• Communications of Mathematical Education
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• v.11
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• pp.107-126
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• 2001

우리는 흔히 21C를 정보화 시대라고 하며 우리에게 주어지는 정보들 또한 일기예보와 같은 일상적인 분야에서 여론 조사와 같은 전문적인 분야에 이르기까지 아주 다양하다. 이런 정보들은 통계영역과 아주 밀접하며 이런 정보들을 통계적으로 바르게 해석하고 추론하여 일반화하는 등 일련의 과정들을 요구한다. 이런 상황아래 본 연구에서는 6차 초등학교 수학 교과서에서 여러 통계학 영역 중 그래프 형태로 가장 먼저 도입되는 막대그래프에 중점을 두어 현행 교과서에서 학습 내용과 학습 과정의 문제점에는 어떤 것이 있으며 아울러 그래프 이해력에 필요한 요소나 인지적 사고 능력, 그래프 이해력의 수준을 알아보고, 이를 바탕으로 여러 문헌을 통해 본 연구자가 나름대로 구안한 통계적 기법을 사용한 교수 ${\cdot}$ 학습 과정을 실험반에 적용한 후 그래프 이해력 사전 ${\cdot}$ 사후 검사를 비교함으로써 통계적 기법을 사용한 교수 ${\cdot}$ 학습 과정이 그래프 이해력에 어떠한 영향을 미치는지 알아보고자 한다.

• Communications of Mathematical Education
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• v.24 no.4
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• pp.865-876
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• 2010

We have examined the modified Moore methods that were applied to college mathematics courses in several researches. We introduce, compare and analyze the concrete teaching methods that the researchers conducted in various modified Moore methods, and propose the appropriate form of modified Moore method most suitable for the present situations of the mathematics and related departments in Korea.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.33-52
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• 1997

We can explain open education by means of pulling down the straight and narrow viewpoint of our educational system. We should incorporate various thoughts and attempts to the most practical educational classrooms and learn to cope flexibly with the several educational problems. On the other hand, Britain for the last fifty years have adapted progressive method in most schools, but with no visible results. The children's fundamental mathematical abilities have not increased. Therefore, mathematical educators in U. S. and Britain proposed the following three facts: First, we need to find out precisely what is involved in applying mathematical skills to practical situations; Secondly, we need to find out why this kind of mathematical understanding is so difficult for so many children; And, finally, we need to know what methods can be used to help children attain this wider mathematical understanding. Thus, we have analyzed and studied the British primary mathematics textbooks < stage 1 >, < stage 3 >, < stage 4 > and < stage 5 > from the open educational viewpoint and the above proposals. As result, a central point was that British have well incorporated into their primary mathematics textbooks with the variety of programs using everyday problems.

• Journal of Educational Research in Mathematics
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• v.20 no.2
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• pp.121-143
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• 2010

In this article, I reviewed current state of researches about mathematics instruction in Korea and sought ways and methodologies of future research. I analyzed articles which were published after year 2000 and were targeted to mathematical instruction itself. After collecting articles, I classified them according to research subject, method and analysis framework, purpose and focus, research perspective and keyword. Subsequently, I analyzed tendency of each research and theoretical framework of them. Based on upper results, I drew directivity of mathematics instruction research at two aspects. First, I found and suggested elements with which framework of mathematics instruction analysis should equip. Secondly, I explored main tasks of mathematics instruction research.

• Education of Primary School Mathematics
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• v.19 no.1
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• pp.47-60
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• 2016

The purpose of this study is to analyze how the qualitative research is applied to mixed method research and thereby to gain an insight to suggest reasonable ways of employing qualitative method in order to accomplish intended goal of research, especially in the field of mathematics education. For that purpose, this study carefully selects and analyzes 5 article that used mixed method and were published by Education of Primary School Mathematics Journal in 2012. Unlike those a few previous studied on mixed method that focused on producing general trend by simply showing quantitative information on what the frequence of used research topic, content, methods combination, quantitative methods, and qualitative methods, this study provides detailed result of qualitative analysis on mixed studies. In sum, this study concludes with practical and in-depth suggestions on how to improve validity of mixed research and qualitative research in the field of mathematic of education.

• Education of Primary School Mathematics
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• v.20 no.2
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• pp.177-192
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• 2017

In theory, mixed methods that incorporate both quantitative and qualitative approaches can maximize strengths of each method while minimize the short comings of each. Mixed methods research is a feature of educational research nowadays, and the number of studies applied mixed methods research has been gradually increasing. This study investigates how mixed methods research was applied in the field of mathematic education, especially focusing on how qualitative and quantitative methods are combined to best address their research questions. With this in mind, this study carefully selects and analyzes 4 research articles that used mixed methods and were published by Journal of Elementary Mathematics Education in Korea in 2015. This study provides detailed result of qualitative analysis on mixed methods research while other a few previous analysis on mixed methods research were tend to focusing on quantitative analysis, producing numeric quantitative information. The result of this study provides practical and in-depth analysis on how to improve validity and possibility of mixed methods research, addressing alternative ways to combine two different research methods and key elements to take into account.