• 한국과학교육학회지
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• 제31권3호
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• pp.475-489
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• 2011

The purposes of this study were to inform the exemplary models of integrated science and mathematics and to analyze and discuss their similarities and differences of the models. There were two steps to select the exemplary models of integrated science and mathematics. First, the second volume (Berlin & Lee, 2003) of the bibliography of integrated science and mathematics was analyzed to identify the models. As a second step, we selected the models that are dealt with in the School Science Mathematics journal and were cited more than three times. The findings showed that the following four exemplary theoretical models were identified and published in the SSM journal: the Berlin-White Integrated Science and Mathematics (BWISM) Model, the Mathematics/Science Continuum Model, the Continuum Model of Integration, and the Five Types of Science and Mathematics Integration. The Berlin-White Integrated Science and Mathematics (BWISM) Model focused an interpretive or framework theory for integrated science and mathematics teaching and learning. BWISM focused on a conceptual base and a common language for integrated science and mathematics teaching and learning. The Mathematics/Science Continuum Model provided five categories and ways to clarify the extent of overlap or coordination between science and mathematics during instructional practice. The Continuum Model of Integration included five categories and clarified the nature of the relationship between the mathematics and science being taught and the curricular goals for the disciplines. These five types of science and mathematics integrations described the method, type, and instructional implications of five different approaches to integration. The five categories focused on clarifying various forms of integrated science and mathematics education. Several differences and similarities among the models were identified on the basis of the analysis of the content and characteristics of the models. Theoretically, there is strong support for the integration of science and mathematics education as a way to enhance science and mathematics learning experiences. It is expected that these instructional models for integration of science and mathematics could be used to develop and evaluate integration programs and to disseminate integration approaches to curriculum and instruction.

• 한국초등과학교육학회지:초등과학교육
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• 제34권4호
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• pp.372-381
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• 2015

Mathematics and science are very closely related. Among the science areas, physic is strongly linked with mathematics. As the related mathematics skills were alloted later than the science contents in the national curriculum, students often suffer from science classes. Accordingly, an opinion have been claimed to teach the related mathematics skills prior to the science classes. However, it would be hard to arrange all science and mathematics contents in order. Instead of that, in this research, we taught students mathematics contents that are crucial for learning speed through science classes. We called that teaching strategy an integrated science and mathematics class. Then, we examined students' achievement in science as well as skills of mathematics to know the effectiveness of the strategy. We found that the average mathematics score of the whole class went up meaningfully. We also found that their science achievement was above than basic level. Moreover, the homeroom teacher of the students observed 3 aspects which showed the students were better than previous students. Finally, we divided the students into 4 groups by their science and mathematics achievement score and interviewed each group. As a result, we knew that interesting and confidence in science and mathematics quite exerted influence on their achievement.

• 대한수학교육학회지:수학교육학연구
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• 제19권4호
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• pp.493-511
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• 2009

본 연구는 수학교육학의 기초학문이 되는 수학과 다학문적인 성격을 띤 수학교육학을 학문학적으로 비교할 때 수학과 비교되는 수학교육학의 학문적 특징을 형식과학 대비 경험과학에 대한 논의를 중심으로 전개했다. 또한 연구방법을 중심으로 수학교육학의 기반이 되는 교육학, 심리학과 같은 사회과학과 수학교육학의 비교를 통해 수학교육학의 연구 방법적 특징에 대해 문헌연구를 통해 고찰해보았다. 본 연구에 따르면, 수학교육학은 연구 방법적 측면에서 자연과학 이라기보다는 사회과학의 성격을 많이 가지고 있으며, 형식과학으로서의 수학과 그 외 수학교육학의 인접학문들과는 구별되는 독특한 특징을 가지고 있다는 사실을 알 수 있었다. 따라서 각 학문영역 연구의 주장하는 바의 정당성은 전혀 다른 시각으로 이해되어야 한다.

• Korean Journal of Mathematics
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• 제24권4호
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• pp.737-750
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• 2016

In this note we describe some classes of rings in relation to Abelian property of factorizations by nilradicals and Jacobson radical. The ring theoretical structures are investigated for various sorts of such factor rings which occur in the process.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제7권2호
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• pp.75-84
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• 2003

The purpose of this study is to suggest the direction for development of function materials integrating mathematics and science. First, we must investigate curricular scope and sequence of mathematics and science. Second, the science contexts selected need to support the mathematics concepts, not overwhelm them. The mathematics can easily get lost if science becomes too complicated. We may be tempted, which can result in misconceptions that are hard to correct later. Third, Many different examples of mathematics-science integration exist, therefore, it is important to find rich science contexts to connect with mathematics.

• Korean Journal of Mathematics
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• 제21권3호
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• pp.311-318
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• 2013

We continue the study of power-Armendariz rings over IFP rings, introducing $k$-power Armendariz rings as a generalization of power-Armendariz rings. Han et al. showed that IFP rings are 1-power Armendariz. We prove that IFP rings are 2-power Armendariz. We moreover study a relationship between IFP rings and $k$-power Armendariz rings under a condition related to nilpotency of coefficients.

• 과학교육연구지
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• 제36권1호
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• pp.14-21
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• 2012

본 연구에서는 뇌 활용 성향과 수학 및 과학 학업성취도 간의 관계를 분석하고자 중학생 131명(남: 74, 여: 57)을 대상으로 뇌 활용 성향검사를 실시하고 수학 및 과학 과목의 성적을 조사하였다. 수학 성적과 과학 성적에 따라 집단을 구분하였을 때 수학 성적 상위집단과 과학 성적 상위집단 모두 좌하뇌를 주로 활용하는 학생의 수가 가장 많은 것으로 나타났다(수학: 33.8%, 과학: 35.0%). 반면에, 수학 성적 하위집단과 과학 성적 하위집단은 우하뇌를 주로 활용하는 학생의 수가 가장 많은 것으로 나타났다(수학: 38.7%, 과학: 36.1%). 수학 및 과학 성적 상위집단과 하위집단간에 뇌 활용 성향 점수의 차이를 분석한 결과 과학성적 상위집단과 하위집단 간에는 좌하뇌 점수(p<.05)에서 차이를 나타내었다. 상관도 분석결과 수학 성적과 과학 성적 모두 좌하뇌 점수(수학: r=.28, 과학: r=.26)에서 가장 높은 상관도를 보였으며 좌상뇌 점수(수학: r=.18, 과학: r=.24)와 두 번째로 높은 상관도를 보였다. 이러한 결과는 수학 및 과학 과목에서 우수한 성적을 얻는 것이 좌하뇌 및 좌상뇌의 활용 성향과 연관성이 있다는 것을 보여주는 것으로 수학 및 과학 과목의 평가방법의 개발 시 이러한 특성을 고려할 필요성이 있을 것이다.

• Journal of Applied and Pure Mathematics
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• 제5권1_2호
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• pp.9-22
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• 2023

In this paper, the connection and convergence between mathematics and science (physics) concepts were investigated. In addition, methods to closely analyze the degree of mathematics and science (physics) learning were looked into. Furthermore, methods to express and analyze the learning states of individual learners were investigated and a plan to organize educational programs was sought.

• Journal of applied mathematics & informatics
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• 제27권1_2호
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• pp.327-334
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• 2009

By means of Riccati transformation techniques, we obtain some criteria which ensure that every solution of a nonlinear equation on time scales oscillates.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제19권4호
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• pp.805-822
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• 2005

In Korea, many local university mathematics faculty knew that the institution faced serious student shortage problems and the restructuring and cut actions for such a mathematics major programs. In general, undergraduate mathematics education in korea is in the crisis. In general, lots of mathematics departments in korea was not prepared for such a severe risk. In this article, university mathematics education and research business are studied in the context of the size of korea-usa population, economy(such as GDP), SCI indices. Korea-usa university mathematics education profile data are presented to compare korea-usa university mathematics education business. Lots of precious data on mathematics education are being helped to prepare for the university mathematics education crisis.