• 제목/요약/키워드: Structure of math problem

검색결과 18건 처리시간 0.026초

ASCENT THERMAL ANALYSIS OF FAIRING OF SPACE LAUNCH VEHICLE

  • Choi Sang-Ho;Kim Seong-Lyong;Kim Insun
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
    • /
    • 한국우주과학회 2004년도 한국우주과학회보 제13권2호
    • /
    • pp.239-242
    • /
    • 2004
  • The fairing of the launch vehicles has a role of protecting the spacecraft from outer thermal, acoustical, and mechanical loads during flight. Among them, the thermal load is analyzed in the present study. The ascent thermal analyses include aerodynamic heating rate on every point of the fairing, heat transfer through the fairing and spacecraft, and the final temperature during ascent flight phase. A design code based on theoretical/experimental database is applied to calculate the aerodynamic heating rate, and a thermal math program, SINDA/Fluint, is considered for conductive heat transfer of the fairing. The results show that the present design satisfies the allowing temperature of the structure. Another important thermal problem, pyro explosive fairing separation device, is calculated because the pyro system is very sensitive to the temperature. The results also satisfies the pyro thermal condition.

  • PDF

초등수학 영재교육원의 교실 생활과 정체성에 대한 사례연구 (A Case Study on the classroom life and the identity of the Elementary Mathematics Gifted Education)

  • 이학로;류성림
    • 한국수학교육학회지시리즈E:수학교육논문집
    • /
    • 제25권1호
    • /
    • pp.99-118
    • /
    • 2011
  • 본 연구는 영재교육원의 일반적인 교실 생활과 영재교육원의 수업에서 지도교사와 영재학생들의 정체성을 알아보기 위한 목적으로 영재교육원 두 반과 2명의 영재담임강사를 약 3개월에 걸쳐 관찰 및 면접한 결과를 분석한 사례연구이다. 본 연구에서는 영재교육원의 교실 생활에 대해 수업의 조직과 사회적 참여구조, 의미 형성 세 가지 측면으로 나누어 분석하고, 영재교육원 지도교사와 영재학생들의 정체성에 대해 영재수학 및 수학 교수, 학습 측면으로 나누어 분석하여 기술하고 있다. 본 논문을 통해 영재교육원에 입학하고자 하는 학생들과 영재교육원 강사가 되고자 하는 교사에게는 영재교육원 교실 생활에 대한 올바른 가치관을 심어주고, 지도교사에게는 학생들의 영재수학에 대한 정체성과 수학학습에 대한 정체성을 이해하여 어떻게 영재수업을 준비해야할 지에 대한 시사점을 주게 된다.

수학교육에서 스토리텔링(storytelling)에 대한 문헌 분석 연구 (A literature research on storytelling in mathematics education)

  • 서보억
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제52권1호
    • /
    • pp.65-82
    • /
    • 2013
  • This study has to do with storytelling. In this study, analyzed the domestic and international academic literature and scientific papers. The purpose of this study is to provide the meaningful basic material on mathematics education for the development of storytelling lesson model and teaching material. First, we analyze the causes and background storytelling appeared. The psychologists found that the human cognition's structure consists of a narrative system. And, We realize that the problem 'How will attract the attention of the students in math class' will be solved by storytelling. Second, the means of storytelling about the educational value and benefits were discussed in Mathematics Education. The story has a powerful force in the delivery of mathematical content. And, the story has strong power, led to feelings of students receiving transfer mathematical content. Finally, examined the characteristics of the psychology of learning in mathematics education by storytelling. We were studied about internal and external story. And, we studies on storytelling as the mediator, story as the knowledge transfer, story as the problem-solving process, story as the script.

광주광역시 치과위생사의 NCS 기반 직업기초능력 우선순위 분석 (Priority analysis of NCS based vocational core competency of dental hygienists in Gwangju)

  • 홍남희
    • 한국치위생학회지
    • /
    • 제16권3호
    • /
    • pp.337-346
    • /
    • 2016
  • Objectives: This study aims to investigate and analyzed the priority of vocational core competency factors in dental hygienists in Gwangju. Methods: Expert survey was conducted and Analytic Hierarchy Process(AHP) was applied to evaluate the weighting factors. First, we established the vocational core competency defined in NCS as AHP analysis model. The vocational core competency has 10 categories and 34 sub-categories. Secondly, AHP survey was conducted by 195 dental hygienists in Gwangju. Finally, the weights representing relative importance of each factor were calculated by using AHP method. Results: The AHP analysis on 10 categories showed that the weighting of interpersonal skills(0.165) was higher than any other categories while that of numeracy(0.035) was at the bottom, and the analysis on sub-categories revealed that the most important factors in each categories included the teamwork skills(interpersonal skills), problem-solving capability(problem-solving skills), listening skills(communication skills), ethical community(professional ethics), ability to understand business(ability to understand organizational structure), applicable technical skills(technical skills), self-management skills(self-development capability), information processing capabilities(information capacity), ability to manage time(resource management capabilities) and basic math skills(numeracy). Conclusions: The results in this study can be used as basic data for the development of liberal arts curriculum for dental hygiene education.

Teaching the Derivation of Area Formulas for Polygonal Regions through Dissection-Motion-Operations (DMO): A Visual Reasoning Approach

  • Rahim, Medhat H.
    • 한국수학교육학회지시리즈D:수학교육연구
    • /
    • 제14권3호
    • /
    • pp.195-209
    • /
    • 2010
  • Utilizing a structure of operations known as Dissection-Motion-Operations (DMO), a set of mathematics propositions or area-formulas in school mathematics will be introduced through shape-to-shape transforms. The underlying theme for DMO is problem-solving through visual reasoning and proving manipulatively or electronically vs. rote learning and memorization. Visual reasoning is the focus here where two operations that constitute DMO are utilized. One operation is known as Dissection (or Decomposition) operation that operates on a given region in 2D or 3D and dissects it into a number of subregions. The second operation is known as Motion (or Composition) operation applied on the resultant sub-regions to form a distinct area (or volume)-equivalent region. In 2D for example, DMO can transform a given polygon into a variety of new and distinct polygons each of which is area-equivalent to the original polygon (cf [Rahim, M. H. & Sawada, D. (1986). Revitalizing school geometry through Dissection-Motion Operations. Sch. Sci. Math. 86(3), 235-246] and [Rahim, M. H. & Sawada, D. (1990). The duality of qualitative and quantitative knowing in school geometry, International Journal of Mathematical Education in Science and Technology 21(2), 303-308]).

분수의 곱셈과 나눗셈에 대한 학생의 이해와 문장제 해결의 관련성 분석 (An Analysis of the Relationship between Students' Understanding and their Word Problem Solving Strategies of Multiplication and Division of Fractions)

  • 김경미;황우형
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제50권3호
    • /
    • pp.337-354
    • /
    • 2011
  • The purpose of the study was to investigate how students understand multiplication and division of fractions and how their understanding influences the solutions of fractional word problems. Thirteen students from 5th to 6th grades were involved in the study. Students' understanding of operations with fractions was categorized into "a part of the parts", "multiplicative comparison", "equal groups", "area of a rectangular", and "computational procedures of fractional multiplication (e.g., multiply the numerators and denominators separately)" for multiplications, and "sharing", "measuring", "multiplicative inverse", and "computational procedures of fractional division (e.g., multiply by the reciprocal)" for divisions. Most students understood multiplications as a situation of multiplicative comparison, and divisions as a situation of measuring. In addition, some students understood operations of fractions as computational procedures without associating these operations with the particular situations (e.g., equal groups, sharing). Most students tended to solve the word problems based on their semantic structure of these operations. Students with the same understanding of multiplication and division of fractions showed some commonalities during solving word problems. Particularly, some students who understood operations on fractions as computational procedures without assigning meanings could not solve word problems with fractions successfully compared to other students.

수학적 귀납법의 역사에서 하강법의 역할 및 교수학적 논의 (The Role of Regression in the History of Mathematical Induction and Its Didactical Implications)

  • 박선용;장혜원
    • 한국수학사학회지
    • /
    • 제20권4호
    • /
    • pp.23-48
    • /
    • 2007
  • 본 연구는 학교 수학에서 다루어지는 수학적 귀납법의 형식적 도입에 대한 문제 제기로부터 출발한다. 학생들이 수학적 귀납법의 의미와 구조를 충분히 인식하지 못한 채 단지 증명의 도구로서 도구적 이해 수준에서 형식적으로 다루어지는 수학교육 현실의 개선을 위하여, 수학적 귀납법의 역사적 발생 과정을 고대 그리스의 재귀적 무한을 통한 암묵적 사용으로부터 17세기 Pascal과 Format의 추상적 형식화의 단계에 이르기까지 고찰함으로써 그 과정에 포함된 다양한 사고 유형의 본질을 규명하고 특히 중요한 역할을 한 것으로 추정되는 하강법에 주목함으로써 교육적 논의를 통해 학교 수학에 시사점을 제공하고자 한다.

  • PDF

초등 수학 교과서의 수학 용어 정의 및 문장제에 사용된 표현의 문장 복잡성 비교 분석 (A Comparative Analysis of the Word Depth Appearing in Representations Used in the Definitions of Mathematical Terms and Word Problem in Elementary School Mathematics Textbook)

  • 강윤지;백석윤
    • 한국초등수학교육학회지
    • /
    • 제24권2호
    • /
    • pp.231-257
    • /
    • 2020
  • 본 연구는 현행 초등 수학 교과서 내 주요 용어의 정의 및 단원평가의 문장제에 사용된 표현을 구문론적 관점에서 문장 복잡성(Yngve, 1960)에 따라 비교분석하였다. 분석 결과, 교과서 내 용어의 정의와 문장제에 사용된 표현에서 저학년 교과서의 문장 복잡성이 낮게 구성되었고, 각 용어의 개별 특성에 따라 문장 구조 및 형태가 서로 다르게 나타나며, 전반적으로 간결하며 문장 복잡성이 낮게 해당 용어의 정의 및 문장제가 서술되었고 용어 정의의 문장이 문장제의 문장보다 복잡하게 구성되었음을 알 수 있었다. 초등학생이 복잡한 문장으로 인하여 수학적 개념 학습의 어려움을 겪지 않도록 교과서 내 문장을 명확하게 서술하고, 적절한 시각적 자료를 함께 제시하며, 개별 학습자의 문해 수준에 알맞은 설명을 보다 섬세하게 고려하여 제공하는 등의 노력이 필요하다.