• 제목/요약/키워드: Mathematics framework

검색결과 405건 처리시간 0.027초

Examining Multicultural Education Research in Korean Mathematics Education

  • Flavin, Eunhye;Hwang, Sunghwan
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제25권1호
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    • pp.45-63
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    • 2022
  • Multicultural students are a rapidly growing population in South Korea. Previous studies from the South Korean mathematics education community have reported low mathematics achievement levels of this population compared to Korean-born students. However, a systematic literature review was hardly employed. This study aims to synthesize the factors that affect the mathematics achievement of multicultural students to provide directions for future research and practical directions. Using an Opportunity-Propensity framework suggested by Byrnes and Miller, this study analyzed twenty-seven peer-reviewed journal articles on this topic. The results showed that the majority of the studies focused on the impact of the opportunity factors such as mathematics curriculum and teachers on mathematics achievements. We suggest that more studies regarding distal factors (e.g., students' prior achievement) and propensity factors (e.g., prerequisite knowledge) are needed.

화이트헤드의 철학과 수학 교육

  • 유충현;김혜경
    • East Asian mathematical journal
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    • 제25권3호
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    • pp.399-413
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    • 2009
  • Whitehead's philosophy is evaluated as an applicable philosophy and an accurate, logical explanation system about the world through mathematics. Whitehead's ideological development can be divided into mathematical research, critical consciousness about sciences and philosophical exploration. Although it is presented as a whole unified conceptual framework to understand nature and human beings which is based on modern mathematics and physics in the 20th century, Whitehead's philosophy has not been sufficiently understood and evaluated about the full meaning and mathematics educational values. In this paper, we study relations of Whitehead's philosophy and the mathematical education. Moreover, we study implicity of mathematical education.

Development of a multidisciplinary design optimization framework for an efficient supersonic air vehicle

  • Allison, Darcy L.;Morris, Craig C.;Schetz, Joseph A.;Kapania, Rakesh K.;Watson, Layne T.;Deaton, Joshua D.
    • Advances in aircraft and spacecraft science
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    • 제2권1호
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    • pp.17-44
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    • 2015
  • A modular multidisciplinary analysis and optimization framework has been built with the goal of performing conceptual design of an advanced efficient supersonic air vehicle. This paper addresses the specific challenge of designing this type of aircraft for a long range, supersonic cruise mission with a payload release. The framework includes all the disciplines expected for multidisciplinary supersonic aircraft design, although it also includes disciplines specifically required by an advanced aircraft that is tailless and has embedded engines. Several disciplines have been developed at multifidelity levels. The framework can be readily adapted to the conceptual design of other supersonic aircraft. Favorable results obtained from running the analysis framework for a B-58 supersonic bomber test case are presented as a validation of the methods employed.

Dynamic reliability analysis framework using fault tree and dynamic Bayesian network: A case study of NPP

  • Mamdikar, Mohan Rao;Kumar, Vinay;Singh, Pooja
    • Nuclear Engineering and Technology
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    • 제54권4호
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    • pp.1213-1220
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    • 2022
  • The Emergency Diesel Generator (EDG) is a critical and essential part of the Nuclear Power Plant (NPP). Due to past catastrophic disasters, critical systems of NPP like EDG are designed to meet high dependability requirements. Therefore, we propose a framework for the dynamic reliability assessment using the Fault Tree and the Dynamic Bayesian Network. In this framework, the information of the component's failure probability is updated based on observed data. The framework is powerful to perform qualitative as well as quantitative analysis of the system. The validity of the framework is done by applying it on several NPP systems.

교과서 실생활 문제 분석 - 미국 Precalculus 교과서를 중심으로 - (Analyzing Contexts Used in Textbook Problems - A Case of Precalculus -)

  • 노지화
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제30권3호
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    • pp.295-308
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    • 2016
  • 본 논문은 수학 교과서에 사용되는 실생활 관련 문제들에서 '사람의 존재 (Human presence)' 가 얼마만큼 실제적 또는 현실적으로 묘사되는지를 조사한 연구이다. 연구에 사용된 교과서는 미국 동부 지역 고등학교 Precalculus 수업에 많이 이용되는 Addison Wesley에서 출판된 Precalculus: Graphical, Numerical, Algebraic, Seventh Edition (2006) 이다. 본 논문에서는 실생활 관련 문제에서의 '사람의 존재 (Human presence)' 유무와 특성을 분석하기 위해 개발된 분석틀과 이 분석틀을 사용하여 분석한 결과들을 소개하고 시사점을 제언한다.

초등 수학 수업에서 발현되는 교사의 변환 지식 분석 (An Analysis of a Teacher's Transformation Knowledge in Elementary Mathematics Teaching)

  • 정유경;방정숙
    • 한국학교수학회논문집
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    • 제16권4호
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    • pp.695-717
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    • 2013
  • 가르치는 데 필요한 교사 지식은 실제 해당 교과를 가르치는 중에 수업 맥락과 깊이 관련되어 나타나기 마련이다. 이와 같은 관점에서 최근 수학 교사 지식에 대한 연구는 실제 가르칠 때 발현되는 수학적 지식(Mathematical Knowledge in Teaching [MKiT])을 분석하려는 경향이 강하다. 본 논문에서는 효과적인 MKiT 분석틀로 알려진 '교사 지식의 사중주(Knowledge Quartet [KQ])' 중 '변환' 차원 및 관련 코드를 소개하고, 이를 중심으로 우리나라 초등 수학 수업을 분석한 사례를 제시하였다. 분석 결과 변환 차원의 관련 코드는 전반적으로 우리나라 초등 수학 수업에서 발현되는 교사의 변환 지식을 밝히는 데 유용한 것으로 드러났다. 그러나 보다 적합성을 높이기 위해서는 일부 코드를 보완할 필요성도 제기되었다. 이와 같은 연구결과를 토대로 본 논문은 초등 수학 수업에서 발현되는 교사 지식의 분석틀에 대한 시사점을 제시한다.

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Individual, Cooperative and Collaborative Works with Educational Games of Mathematics for Computers

  • Cannone, Giacomo;Hernandez, Josefa;Palarea, Maria Mercedes;Socas, Martin M.
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제11권2호
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    • pp.101-126
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    • 2007
  • We analyze the possibilities of using Information and Communication Technologies as a resource in the teaching/learning of Mathematics and we show the results of concrete experiments carried out with the games: "Adibu", "La ciudad perdida" and "Drood en el planeta siete", with fourteen students and two primary school teachers in a school in Santa Cruz de Tenerife (Spain). Our analysis of the games is made within a global framework in which individual, cooperative and collaborative learning are considered, taking as reference the theoretical frameworks set out by Piaget, Vygotsky, and the principles of collaborative learning (Computer Supported Collaborative Learning).

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An Analysis of the Mathematical Tasks in the Korean Seventh Grade Mathematics Textbooks and Workbook

  • Cho, Hyungmi;Kwon, Oh Nam
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제16권4호
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    • pp.245-263
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    • 2012
  • The Korean mathematical curriculum has been changed three times during the resent five years. It led to changes in textbook system. In the 2007 revised mathematics curriculum, workbook was developed focusing on student's self-oriented learning, effective practice in differentiated classroom, and mathematics problem solving considering individual difference. This paper examines the characteristics of the tasks and the way the tasks are organized in the textbooks and the workbook in accordance with the 2007 revised mathematics curriculum; comparing with the function section before and after the amendment. Researchers examine whether the textbook and workbook were accomplished the purpose with "cognitive expectation", "level of cognitive demand", "and "response types". Researchers revised framework of [Son, J. W. & Senk, S. (2010). How reform curricula in the USA and Korea present multiplication and division of fraction. Educ. Stud. Math 74(2), 117-142] to make them suitable for the function section at the seventh grade.

Mathematics Teacher Educators' Collective Noticing on Microteaching

  • Na Young Kwon;Jung Colen;Sheunghyun Yeo;Hoyun Cho;Jinho Kim
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제26권4호
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    • pp.311-331
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    • 2023
  • This article explores how mathematics teacher educators (MTEs) engaged in collaborative inquiry into the microteaching experiences of preservice teachers (PSTs), ultimately developing a noticing framework through collective MTE inquiry. We delve into the specifics of what MTEs notice focusing on three emerging categories of noticing on PST's microteaching videos-lesson structure, task quality, and teaching practices. Each category, along with MTEs' noticing within these components, is elaborated through vignettes. This approach positions MTEs' noticing as a crucial element in the overarching vision to enhance the teaching practices of PSTs.

Instructional Alignment Observation Protocol (IAOP) for Implementing the CCSSM: Focus on the Practice Standard, "Model with Mathematics"

  • Hwang, Jihyun
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제23권3호
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    • pp.149-164
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    • 2020
  • This study aimed to establish an observation protocol for mathematical modeling as an alternative way to examine instructional alignment to the Common Core State Standards for Mathematics. The instructional alignment observation protocol (IAOP) for mathematical modeling was established through careful reviews on the fidelity of implementation (FOI) framework and prior studies on mathematical modeling. I shared the initial version of the IAOP including 15 items across the structural and instructional critical components as the FOI framework suggested. Thus, the IAOP covers what teachers should do and know for practices of mathematical modeling in classrooms and what teachers and students are expected to do. Based on the findings in this study, validity and reliability of the IAOP should be evaluated in follow-up studies.