• 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.

• The Mathematical Education
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• v.43 no.2
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• pp.163-175
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• 2004

We believe new assessment strategies and practices need to be developed that will enable teachers and others to assess students' performance in a manner that reflect the 7th Korean curriculum reform vision for school mathematics. This research was conducted to develop the assessment tasks based on the current literatures such as National Council of Teachers of Mathematics (1999) and Korea Institute of Curriculum & Evaluation(KICE, 2002, 2003) in quadratic functions of the secondary school and to find the effect of these tasks by classifying students' responses. The research instrument were composed of three criteria, the previous knowledge, the application of quadratic functions, and the general properties in functions. The research data were collected from 32 high school students in a suburb of Seoul and sorted by their similarities and differences in mathematical understanding. Through the research, we could know more than ever before about how the students learned mathematics and about how to improve teachers' mathematical instruction.

• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.21-58
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• 2015

The aim of this study is to look into the didactical background for teaching proportional reasoning in elementary school mathematics and offer suggestions to improve teaching proportional reasoning in the future. In order to attain these purposes, this study extracted and examined key ideas with respect to the didactical background on teaching proportional reasoning through a theoretical consideration regarding various studies on proportional reasoning. Based on such examination, this study compared and analyzed textbooks used in the United States, the United Kingdom, and South Korea. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching proportional reasoning in elementary schools in Korea as follows: giving much weight on proportional reasoning, emphasizing multiplicative comparison and discerning between additive comparison and multiplicative comparison, underlining the ratio concept as an equivalent relation, balancing between comparisons tasks and missing value tasks inclusive of quantitative and qualitative, algebraic and geometrical aspects, emphasizing informal strategies of students before teaching cross-product method, and utilizing informal and pre-formal models actively.

• Communications of Mathematical Education
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• v.13 no.2
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• pp.409-424
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• 2002

정보화 ${\cdot}$ 세계화 시대에서 중요한 것은 단순히 지식을 암기하는 것이 아니라 스스로 정보를 탐색해 보고 이를 바탕으로 새로운 지식을 창조해내며, 미지의 문제에 직면하였을 때 이를 자주적이며 능동적으로 해결할 수 있는 능력을 기르는 것이다. 이에 수학 교육에 있어서도 이러한 시대적 요구를 반영할 수 있는 새로운 변화가 필요하게 되었고 1997년 12월에는 교육 개혁의 일환으로 추진되어 온 제 7차 교육 과정이 확정 ${\cdot}$ 고시되었다. 제 7차 교육 과정에서는 수학적 힘의 신장을 개혁의 기본 방향으로 정하고 있는데 최근 수학 교육에서는 학습자들의 수학적 힘을 개발하기 위한 학습 방법 중의 하나로 문제 중심학습(Problem Centered Learning)이 주목을 받고 있다. 본 연구에서는 중학교 2학년 일차함수 단원에 알맞은 과제를 개발하여 문제 중심 학습을 실시하였을 때 교사와 학생, 학생과 학생 사이에 나타나는 상호작용을 분석하고, 교사의 역할과 지도과정을 살펴봄으로써 중등학교 수학과에서 문제 중심 학습의 활용 방안과 과제의 개발 방향을 찾고자 하였다.

• School Mathematics
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• v.16 no.1
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• pp.135-155
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• 2014

In this paper, we adapted the frame by Lee et al (2013) to investigate to what extent the Korean mathematics textbooks for the 7th graders adapt the principles of Yungbokhap education. The analysis suggests that the textbooks mostly adapt the competence to use language, symbols and texts interactively, and to use knowledge and information interactively. Among the competencies for interacting in heterogeneous groups, the textbooks included the competences to related well to others and to cooperatively work in teams. The competence for acting autonomously was least adapted in the textbooks. The most tasks in the textbooks adapted the monodisciplinary integration and the personal contexts for integration. The results of this research show that Korean mathematics textbooks are limited in implementing the principal dimensions of Yungbokhap education. In the future development of mathematics textbooks, it is necessary to consider how to further reflect the various dimensions of Yungbokhap education to promote students' creativity and autonomy in mathematics class.

• Communications of Mathematical Education
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• v.18 no.2 s.19
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• pp.35-45
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• 2004

"2002년 학술진흥재단 대학교육과정개발연구"의 성균관대학교의 9과제 중 하나로 3분야인 "신규교과목 또는 교수학습 방법개발" 과제로 대학에서의 "수학강좌의 효과적인 교수-학습 모델 개발 연구 (선형대수학, 미적분학, 이산수학을 중심으로)" 내용과 그 부산물인 콘텐츠를 소개하고, 이를 효과적으로 이용하기 위하여 개발한 새로운 강의 환경과 교수법을 소개한다. 이어서 현재 국내외에서 활발히 연구가 시작되고 있는 "대학에서의 수학교육" 내용을 소개한 후 대학에서 개발되고 검증된 이런 교수법과 교육환경이 중등학교의 수학 교육 현장에 주는 의미에 대하여 논의한다.

• Communications of Mathematical Education
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• v.17
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• pp.127-138
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• 2003

아주대과학영재교육원에서 실시되고 있는 수학영재교육에서의 사사에 대한 기본적 아이디어와 과기부 과제 창의적 사사에 대한 생각을 정리하여 본다. 대학교에서 수학영재교육을 실시하는 큰 이유는 수학적 창조자인 수학자에게서 수학논문을 쓰는 법과 수학자로서 필요한 인성을 익히는 일이라고 생각한다.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.4
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• pp.601-625
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• 2016

In this study, I hoped to reveal the understanding of pre-service elementary teachers about proportional reasoning and the traits of proportional reasoning strategy used by pre-service elementary teachers. The results of this study are as follows. Pre-service elementary teachers should deal with various proportional reasoning tasks and make a conscious effort to analyze proportional reasoning task and investigate various proportional reasoning strategies through teacher education program. It is necessary that pre-service elementary teachers supplement the lacking tasks such as qualitative reasoning and distinction between proportional situation and non-proportional situation. Finally, It is suggested to preform the future research on teachers' errors and mis-conceptions of proportional reasoning.

• Education of Primary School Mathematics
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• v.25 no.1
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• pp.81-100
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• 2022

The purpose of this study is to develop a framework for analyzing the solution spaces of open-ended task and to explore their usefulness and applicability based on the analysis of solution spaces constructed by students. Based on literature reviews and previous studies, researchers developed a framework for analyzing solution spaces (OMR-framework) organized into subspaces of outcome spaces, method spaces, representation spaces which could be used in structurally analyzing students' solutions of open-ended tasks. In our research, we developed open-ended tasks which had various outcomes and methods that could be solved by using the concepts of factors and multiples and assigned the tasks to 181 elementary school fifth and sixth graders. As a result of analyzing the student's solution spaces by applying the OMR-framework, it was possible to systematically analyze the characteristics of students' understanding of the concept of factors and multiples and their approach to reversible and constructive thinking. In addition to formal mathematical representations, various informal representations constructed by students were also analyzed. It was revealed that each space(outcome, method, and representation) had a unique set of characteristics, but were closely interconnected to each other in the process. In conclusion, it can be said that method of analyzing solution spaces of open-ended tasks of this study are useful for systemizing and analyzing the solution spaces and are applicable to the analysis of the solutions of open-ended tasks.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.369-385
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• 2017

This study is to figure out the activity and disposition of gifted students with face plot in exploratory data analysis at middle school mathematics class. This study has begun on the basis of the doing mathematics at multivariate analysis beyond one variable and two variables. Gifted students were developed the good learning habits theirselves. According to this result, Many gifted students have an interesting experience at data analysis with Face Plot. And they felt the useful methods of creative thinking about graphics with doing mathematics at mathematical tasks. I think that teachers need to learn the visualization methods and to make and to develop the STEAM education tasks connected real life. It should be effective enough to change their attitudes toward teaching and learning at exploratory data analysis.