• Title/Summary/Keyword: Structure of math problem

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ASCENT THERMAL ANALYSIS OF FAIRING OF SPACE LAUNCH VEHICLE

  • Choi Sang-Ho;Kim Seong-Lyong;Kim Insun
    • Bulletin of the Korean Space Science Society
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    • 2004.10b
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    • pp.239-242
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    • 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.

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

  • Lee, Hak-Ro;Ryu, Sung-Rim
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.99-118
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    • 2011
  • For this case study of gifted education, two classrooms in two locations, show life in general of the gifted educational system. And for this case study the identity of teachers and the gifted, help to activate the mathematically gifted education for these research questions, which are as followed: Firstly, how is the gifted education classroom life? Secondly, what kind of identity do the teachers and gifted students bring to mathematics, mathematics teaching and mathematics learning? Being selected in the gifted children's education center solves the research problem of characteristic and approach. Backed by the condition and the permission possibility, 2 selected classes and 2 people, which are coming and going. Gifted education classroom life, the identity of teachers and gifted students in mathematics and mathematics teaching and mathematic learning. It will be for 3 months, with various recordings and vocal instruction between teacher and students. Collected observations and interviews will be analyzed over the course of instruction. The results analyzed include, social participation, structure, and the formation of the gifted education classroom life. The organization of classes were analyzed by the classes conscious levels to collect and retain data. The classes verification levels depended on the program's first class incentive, teaching and learning levels and understanding of gifted math. A performance assessment will be applied after the final lesson and a consultation with parents and students after the final class. The six kinds of social participation structure come out of the type of the most important roles in gifted education accounts, for these types of group discussions and interactions, students must have an interaction or individual activity that students can use, such as a work product through the real materials, which release teachers and other students for that type of questions to evaluate. In order for the development of meaningful mathematical concepts to formulate, mathematical principles require problem solving among all students, which will appear in the resolution or it will be impossible to map the meaning of the instruction from which it was formed. These results show the analysis of the mathematics, mathematics teaching, mathematics learning and about the identity of the teachers and gifted. Gifted education teachers are defined by gifted math, which is more difficult and requires more differentiated learning, suitable for gifted students. Gifted was defined when higher level math was created and challenged students to deeper thinking. Gifted students think that gifted math is creative learning and they are forward or passive to one-way according to the education atmosphere.

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

  • Suh, Bo-Euk
    • The Mathematical Education
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    • v.52 no.1
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    • pp.65-82
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    • 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.

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

  • Hong, Nam-Hee
    • Journal of Korean society of Dental Hygiene
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    • v.16 no.3
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    • pp.337-346
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    • 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.
    • Research in Mathematical Education
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    • v.14 no.3
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    • pp.195-209
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    • 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]).

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

  • Kim, Kyung-Mi;Whang, Woo-Hyung
    • The Mathematical Education
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    • v.50 no.3
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    • pp.337-354
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    • 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.

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

  • Park, Sun-Yong;Chang, Hye-Won
    • Journal for History of Mathematics
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    • v.20 no.4
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    • pp.23-48
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    • 2007
  • This study begins from posing a problem, 'formal introduction of mathematical induction in school mathematics'. Most students may learn the mathematical induction at the level of instrumental understanding without meaningful understanding about its meaning and structure. To improve this didactical situation, we research on the historical progress of mathematical induction from implicit use in greek mathematics to formalization by Pascal and Fermat. And we identify various types of thinking included in the developmental process: recursion, regression, analytic thinking, synthetic thinking. In special, we focused on the role of regression in mathematical induction, and then from that role we induce the implications for teaching mathematical induction in school mathematics.

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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 (초등 수학 교과서의 수학 용어 정의 및 문장제에 사용된 표현의 문장 복잡성 비교 분석)

  • Kang, Yunji;Paik, Suckyoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.2
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    • pp.231-257
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    • 2020
  • As the main mathematical concepts are presented and expressed in various ways through textbooks during the teaching and learning process, it is necessary to look at the representations used in elementary math textbooks to find effective guidance. This study analyzed sentences used in the definition of mathematical terms and unit assessments of current elementary mathematics textbooks according to word depth (Yngve, 1960) from a syntactic perspective. As a result of the analysis, it could be seen that the sentences in textbook were generally concise, the word depth was lower, and the sentence structure and form were different depending on the individual characteristics of each term. Also, the sentences in the lower grade textbooks were more easily constructed, and the sentences of the term definition were more complex than the sentences of the unit assessments. Efforts should be made to help learners learn mathematical concepts, such as clarifying sentences in textbooks, presenting visual materials together, and providing additional explanations to suit the level of individual learners.