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

• Tuberculosis and Respiratory Diseases
• /
• 제86권4호
• /
• pp.251-263
• /
• 2023

The stethoscope has long been used for the examination of patients, but the importance of auscultation has declined due to its several limitations and the development of other diagnostic tools. However, auscultation is still recognized as a primary diagnostic device because it is non-invasive and provides valuable information in real-time. To supplement the limitations of existing stethoscopes, digital stethoscopes with machine learning (ML) algorithms have been developed. Thus, now we can record and share respiratory sounds and artificial intelligence (AI)-assisted auscultation using ML algorithms distinguishes the type of sounds. Recently, the demands for remote care and non-face-to-face treatment diseases requiring isolation such as coronavirus disease 2019 (COVID-19) infection increased. To address these problems, wireless and wearable stethoscopes are being developed with the advances in battery technology and integrated sensors. This review provides the history of the stethoscope and classification of respiratory sounds, describes ML algorithms, and introduces new auscultation methods based on AI-assisted analysis and wireless or wearable stethoscopes.

• 대한수학교육학회지:학교수학
• /
• 제9권2호
• /
• pp.197-222
• /
• 2007

본 연구는 최근 기하 교육 동향과 전미수학교사협의회에서 2000년대의 수학교육의 방향과 관련해서 제시한 기하 교육의 규준에 비추어 현실적 수학교육에 기초한 네덜란드의 초등학교 기하 교육과정에 대해 알아보고, 우리나라의 초등학교 도형 영역 지도를 위한 시사점을 제시하는 데 그 목적이 있다. 이런 목적을 달성하기 위해 네덜란드의 초등학교 기하 교육의 역사를 살펴보고, 네덜란드의 초등학교 기하 교육과정에 중요한 영향을 미치는 요소인 일반 목표와 기하 영역의 핵심 목표, RME에 기초한 네덜란드의 초등학교 수학 교과서의 지도 내용과 지도 방법의 특징을 살펴보았다. 그 결과 우리나라 도형 영역의 교육과정과 교과서 개발을 위해 논의할 문제로 지도 내용의 측면에서 공간 방향의 도입, 공간 시각화와 공간 추론의 강화, 지도방법의 측면에서 공간적 접근과 도형적 접근의 균형, 직관적 접근의 중시, 통합적 접근의 고려 등을 제안하였다.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제42권2호
• /
• pp.203-218
• /
• 2003

The purpose of this study is to see what the essential characteristics are in teaching probability and statistics among various mathematical fields. we also tried to connect the study of probability and statistics education with what is needed for a science be synthetic to have its own identity as a unique research field. Since we searched for the future direction of the pedagogic study in the probability and statistics we first selected papers on probability and statistics published in (Series A), the Journal of Korea Society of Mathematical Education, and establish the following research questions. What kinds of characteristics can be found when papers on probability and statistics published in (Series A) are classified into low categories; contents of probability and statistics education, research method of the mathematics education, methods of teaming and teaching, and finally measurements and evaluation\ulcorner We classified papers into two kinds. One is related to the educational contents, consisting of the methods of learning and teaching, and of the measurement and evaluation. The other is reined to the methods of research, which is not a part of the educational curriculum but is essential for establishing the identity of mathematics education. According to the periods, papers on the curricular contents in 1960s were influenced by the New Mathematics, and papers on the curricular contents in 1980s were influenced by 'back to basic'. In 1990s, papers on methods of learning and teaching, and measurement md evaluation were increasing in number. Besides, (series A) from the Journal of Korea Society of Mathematical Education covers contents, methods of Loaming and teaching, and measurement and evaluation. And when I examined the papers on the contents of textbook of a junior high school related to the probability and statistics education and on methods of learning and teaching, 1 found that those papers occupy 1.84% in . When it comes to the methods of loaming and teaching, most of studies in (series A) are about application of concrete implement like experiment and practical application of computer programs, Through this study, I found that over-all and more active researches on probability and statistics are required and that the studies about methods of loaming and teaching must be made in diverse directions. It is needed that how students recognize probability and statistics, connection, communication and representation in probability and statistics context, too. (series A) does not have papers on methods of study. Mathematics pedagogy is a mixture of various studies - mathematical psychology, mathematical philosophy, the history of mathematics and Mathematics. So If there doesn't exist a proper method of study adequate in the situation for the mathematics education the issue of mathematics pedagogy might be taken its own place by that of other studies'. We must search for the unique method of study fur mathematics education so that mathematics pedagogy has its own identity as a study. The study concerning this aspect is needed.

• Communications for Statistical Applications and Methods
• /
• 제21권3호
• /
• pp.253-260
• /
• 2014

The intraclass correlation model has a long history of applications in several fields of research. Case deletion diagnostic methods for the intraclass correlation model are proposed. Based on the likelihood equations, we derive a formula for a case deletion diagnostic method which enables us to investigate the influence of observations on the maximum likelihood estimates of the model parameters. Using the Taylor series expansion we develop an approximation to the likelihood distance. Numerical examples are provided for illustration.

• 대한수학회보
• /
• 제33권2호
• /
• pp.277-287
• /
• 1996

The theory of integration of functions with values in a Banach space has long been a fruitful area of study. In the eight years from 1933 to 1940, seminal papers in this area were written by Bochner, Gelfand, Pettis, Birhoff and Phillips. Out of this flourish of activity, two integrals have proved to be of lasting: the Bochner integral of strongly measurable function. Through the forty years since 1940, the Bochner integral has a thriving prosperous history. But unfortunately nearly forty years had passed until 1976 without a significant improvement after B. J. Pettis's original paper in 1938 [cf. 11].

• 대한수학회보
• /
• 제34권1호
• /
• pp.103-114
• /
• 1997

The asymptotic Dirichlet problem for harmonic functions on a noncompact complete Riemannian manifold has a long history. It is to find the harmonic function satisfying the given Dirichlet boundary condition at infinity. By now, it is well understood [A, AS, Ch, S], when M is a Cartan-Hadamard manifold with sectional curvature $-b^2 \leq K_M \leq -a^2 < 0$. (By a Cartan-Hadamard manifold, we mean a complete simply connected manifold of non-positive sectional curvature.)

• 대한수학회지
• /
• 제56권4호
• /
• pp.935-946
• /
• 2019

Hawkes process is a self-exciting simple point process with clustering effect whose jump rate depends on its entire past history. We consider Hawkes processes with uniform immigrants which is a special case of the Hawkes processes with renewal immigrants. We study the limit theorems for Hawkes processes with uniform immigrants. In particular, we obtain a law of large number, a central limit theorem, and a large deviation principle.

• 논리연구
• /
• 제12권2호
• /
• pp.141-170
• /
• 2009

최근 1600년 경 예수회 아리스토텔레스주의자들 사이에서 벌어졌던 수학의 과학으로서의 지위에 관한 논쟁에 대한 관심이 급증하고 있다. 필자는 월러스, 디어, 그리고 만코수를 좇아 이 논쟁을 조금 더 자세히 살펴보고자 한다. 이를 위해 필자는 비앙카니가 수학의 본성에 관한 논고에서 중간과학을 논의한 바에 초점을 맞출 것이다. 디어와 월러스의 논의로부터 우리는 수학의 과학적 지위를 옹호한 이들과 부인한 이들 사이의 논쟁에 관한 비교적 훌륭한 조감도를 얻을 수 있다. 그러나 그 논쟁의 일반적 동기를 이해하는 일과 그 안에 내포된 변증적 전략과 전술의 정교함을 감식하는 일은 전혀 별개의 문제이다. 바로 이 단계에서 우리는 중간과학에 관한 비앙카니의 견해의 요점을 이해하는 데에서 어려움에 봉착한다. 비록 중간과학의 문제에 관해서는 침묵을 지켰지만, 만코수가 완벽한 증명, 수학적 설명, 그리고 원인의 문제에 관한 예수회 아리스토텔레스주의자들의 입장을 논의한 바는 역사적으로나 철학적으로나 모두 최고의 중요성을 지닌다. 필자는 그 논쟁에서 진실로 무엇이 쟁점이었는지를 보다 심도 있게 이해하기 위하여 피콜로미니와 비앙카니의 견해에 대한 만코수의 해석을 주의 깊게 검토하고 비판할 것이다.

• 한국수학교육학회지시리즈C:초등수학교육
• /
• 제14권2호
• /
• pp.103-116
• /
• 2011

동아시아 수학사에서 가장 중요하고 기초적인 문헌은 <구장산술九章算術>이다. 이 책은 오랜 세월 동안 여러 주석가들에 의해 보완되고 재해석되며 광범위한 영향력을 미쳤다. 우리나라 역시 이 영향권 안에서 삼국시대 이래로 <구장산술>을 기본 산학서로 취급해 왔고 19세기 조선 수학자 남병길은 이 책에 대한 주석서 <구장술해九章術解>를 출판했다. 본 연구에서는 이 두 책의 구성과 내용을 확인하고 그것의 교육적 활용 가능성에 대해 모색해본다.