• 한국수학교육학회지시리즈C:초등수학교육
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• 제2권2호
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• pp.85-102
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• 1998

Since textbooks for elementary school mathematics in accordance with the seventh curriculum are 'Class I' textbooks, which are used as one and only one textbooks throughout the country, the following aspects have been considered： In the legal aspect, the contents including the curriculum for mathematics asked of the Writing Committee by the Ministry of Education were reflected; in the aspect of theory of mathematics education, the textbooks are written in a way appropriate to theory of mathematics education; and in the aspect of application of reality, the textbooks are written to help improving mathematics education in classrooms. Therefore, the main frame of writing the textbooks is to make students feel proud enough to say "I have done mathematics", through helping students rationally solve problems surrounding them by themselves with their experiences and activities. In the above viewpoint the following sentence is reflected upon: "Hundred explanations are not equal to one manipulation activity."

• 대한수학교육학회지:학교수학
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• 제4권2호
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• pp.147-160
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• 2002

The purpose of this study is to examine the The correlation between information processing types and mathematical communication abilities / word problem solving abilities. The results obtained are as follows: 1 Simultaneous/continuous information process types showed statistically high correlation with mathematical communication abilities. However, the correlation between simultaneous information process and mathematical communication abilities is a little higher than the correlation between continuous information process and mathematical communication abilities. 2. There is a high correlation between mathematical communication abilities and word problem solving abilities. Especially, speaking ability is much more correlated with four factors of word problem solving than reading, writing and listening, Through this study, we can conclude that information process types should be consider ed in order to improve mathematical communication abilities and mathematical communication abilities is essential in word problem solving.

• 한국학교수학회논문집
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• 제16권1호
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• pp.63-86
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• 2013

이 연구의 목적은 중학생들이 논술형 문항을 해결하면서 무엇을 어렵게 느끼고 있으며 무엇이 문제인지를 알기 위한 것으로, 논술형 문항에 대한 중학생들의 다양한 반응을 살펴보고 학생들과의 인터뷰를 통하여 논술형 문항을 해결하는 동안의 학생들의 사고과정을 분석하였다. 학생들은 논술형 문항을 주로 풀이과정을 논리적으로 쓰는 것(17%), 설명하면서 풀 줄 알아야 하는 것(7%)으로, 또한 많은 수학적 이해를 필요로 하는 문제, 자신의 생각을 쓰는 것, 주관식 등으로 다양하게 인식하고 있었다. 논술형 문항을 해결할 때 가장 어려움을 겪는 부분에 대해서는 문제를 읽고 이해하기(26%), 적용하기(12%), 수학적 글쓰기(25%), 계산능력(23%), 추론능력(14%) 등으로 나타났다. 학생들의 수학적 숙련도에 대한 분석 결과, 각 비율이 추론의 오류(35%), 문제이해의 오류(31%), 적용의 오류(9%), 계산의 오류(3%) 순서로 나타났다.

• 대한수학회보
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• 제38권3호
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• pp.551-564
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• 2001

We view Weyl structures as generalizations of Riemannian metrics and study the critical points of geometric functional which involve scalar curvature, defined on the space of Weyl structures on a closed 4-manifold. The main goal here is to provide a framework to analyze critical Weyl structures by defining functionals, discussing function spaces and writing down basic formulas for the equations of critical points.

• 대한수학교육학회지:수학교육학연구
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• 제11권1호
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• pp.207-221
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• 2001

The purpose of this study is to develop the assessment rubric of mathematical communication ability by each type: listening, speaking, reading, writing, and graphic. This rubric is qualified in the content-validity and reliability by professional educators' evaluation and correlation coefficient. 16 math educators judged that this involves the results of learning mathematical communication, the results of possible instruction, and the content of scoring mathematical communication by teachers. 170 middle school students were tested by the assessment task according to the types of mathematical communication. After two researchers and two teachers scored the tasks, correlation coefficient was calculated between evaluators. The coefficient is evaluated high in that it is more than 0.70.

• 한국수학교육학회지시리즈A:수학교육
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• 제49권4호
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• pp.523-540
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• 2010

The purpose of the study were to analyze MathThematics textbooks and Korean middle school mathematics and to investigate the difference among the textbooks in the view of mathematical communication. According to the results, the textbook developers made a variety of efforts to develope students' mathematical communication ability. Students were encouraged to communicate with others about their mathematical ideas or problem solving processes in words or writing by means of discussion, oral report, presentation, journal, etc. MathThematics textbooks provided student self-assessment opportunity to improve student performance in problem solving, reasoning, and communication. In communication assessment, students can assess their use of mathematical vocabulary, notation, and symbols, the use of graphs, tables, models, diagrams and equation to solve problem and their presentation skills. The assessment activities would make a positive impact on the development of students' mathematical communication ability. MathThematics textbooks provided a variety of problem situation including history, science, sports, culture, art, and real world as a topic for communication, however, the researcher found that some of Korean textbooks depends heavily on mathematical problem situations.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제27권2호
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• pp.157-173
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• 2024

Researchers continue to emphasize the centrality of proof in the context of school mathematics and the importance of proof to student learning of mathematics is well articulated in nationwide curricula. However, researchers reported that students' performance in proving tasks is not promising and students are not likely to see the need to prove a proposition even if they learned mathematical proof previously. Research attributes this issue to students' tendencies to accept an empirical argument as proof for a mathematical proposition, thus not being able to recognize the limitation of an empirical argument as proof for a mathematical proposition. In Korea, there is little research that investigated high school students' views about the need for proof in mathematics and their understanding of the limitation of an empirical argument as proof for a mathematical generalization. Sixty-two 11^th graders were invited to participate in an online survey and the responses were recorded in writing and on either a four- or five-point Likert scale. The students were asked to express their agreement with the need of proof in school mathematics and to evaluate a set of mathematical arguments as to whether the given arguments were proofs. Results indicate that a slight majority of students were able to identify a proof amongst the given arguments with the vast majority of students acknowledging the need for proof in mathematics.

• Human Ecology Research
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• 제52권2호
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• pp.189-198
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• 2014

The purpose of this study was to examine the effects of the We Start center visiting intervention program on the positive changes in the developmental areas and literacy interests of young children from low-income families. The subjects were 195 young children (109 in the experimental group, M=71.7 months; 86 in the control group, M=73.3 months) living in We Start areas (Ansan, Gwangmyeong, and Suwon cities) of Gyeonggi-do. The We Start center visiting intervention programs were conducted for 30-34 weeks in each city, and pre-tests and post-tests were conducted before and after the intervention programs. The instruments used were the developmental checklist and the literacy interests test The developmental checklist consisted of 7 domains (personality & sociality; language, reading, & writing; scientific thinking; mathematical thinking; arts; social learning; and physical development). The literacy interests test consisted of 2 factors (interest in literacy and interaction during activity). The scores on the developmental checklist showed positive changes in several domains (personality & social development; language, reading, & writing ability; scientific thinking; and social learning), but not in mathematical thinking, arts, and physical development. Second, the results of the literacy interests test showed positive effects on interaction during activity and the total score. In conclusion, the We Start center visiting program for young children from low-income families is an effective early intervention program to end the intergenerational transference of poverty in Korea.

• 한국학교수학회논문집
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• 제23권1호
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• pp.25-44
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• 2020

본 연구의 목적은 서양수학이 본격적으로 유입된 18세기 조선의 사회문화적 배경 하에 저슬된 조선 산학서의 대수 영역에서 서양수학의 표현과 계산법을 반영한 내용을 살펴보고, 서양식 계산법과 전통적 계산법의 공존 관계 또는 대체 양상을 분석하는 것이다. 이를 위해 18세기 산학문헌인 <구수략>, <고사신서>, <고사십이집>, <주해수용>을 중심으로 하여 <구일집>, <산학입문> 등 총 9종의 산학문헌을 분석하였다. 분석 결과, 산대 조작을 기반으로 하는 전통적인 사칙계산법이 과도기적 표현을 거쳐 유럽 수학의 필산으로 발달해가는 과정과 서양의 비례 개념과 비례식을 형식화하여 명시적으로 다루는 18세기 산학서의 공통적 변화를 확인하였다. 또한 연립일차방정식 해법의 계산식의 수학적 표현이 점진적으로 형식화되는 과정을 관찰하였다. 제곱근 계산법이 전통적인 개방술에서 증승개방법의 적용으로, 다시 유럽 산술이 반영된 제곱근을 구하는 필산으로 변화해가고 있음을 확인하였다. 이상의 18세기 조선산학 사례들은 수학의 진화적 속성과 사회문화적 속성을 이해할 수 있는 의미 있는 자료라고 할 수 있다.

• 한국수학교육학회지시리즈A:수학교육
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• 제44권1호
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• pp.103-112
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• 2005

This paper is designed to characterize the concept of flexibility of mind and analyze relationship between flexibility of mind and divergent thinking in view of mathematical problem solving. This study shows that flexibility of mind is characterized by two constructs, ability to overcome fixed mind in stage of problem understanding and ability to shift a viewpoint in stage of problem solving process, Through the analysis of writing test, we come to the conclusion that students who overcome fixed mind surpass others in divergent thinking and so do students who are able to shift a viewpoint.