• Title/Summary/Keyword: mathematical content

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Mathematical Models of Respiration Rate of Cucumber Plants under Varying Environmental Conditions (환경 변화에 따른 오이의 호흡속도에 관한 수리적 모형)

  • 임준택;정현희;백선영;현규환;권병선;김학진;정순주;이범선
    • Journal of Bio-Environment Control
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    • v.9 no.4
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    • pp.185-192
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    • 2000
  • This study was conducted to develop mathematical model of respiration rate of cucumber plant under varying environmental conditions. 8.55% of gross photosynthesis of individual cucumber plant was used as respiration. Growth respiration coefficient was estimated as 0.0935. Maintenance respiration rate was estimated as 0.00158g CH$_2$g$^{-1}$ .h$^{-1}$ at 24$^{\circ}C$ of air temperature and it increased exponentially as air temperature became higher. Respiration rate decreased poportionally as content of storage carbohydrate became lower. Ion uptake respiration rate of roots was estimated as 0.6648g C$H_2O$.(gN)$^{-1}$ .

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A Web Manual Generator for Courseware Development using CAS and Web Connectivity Technology (컴퓨터 대수 시스템과 웹 연동 기술을 활용한 코스웨어 개발용 웹 매뉴얼 생성기)

  • Park, Hong-Joon;Jun, Young-Cook;Jang, Moon-Suk
    • The Journal of Korean Association of Computer Education
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    • v.8 no.5
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    • pp.97-108
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    • 2005
  • In this paper, we present our prototype of a web manual creator that is based on MSP technology embedded in webMathematica. This tool gives courseware authors more simple ways to make their own mathematical web contents. We first classified authoring models for creating mathematical content development and proposed an advanced model. The final application called phpMath can generate MSP-driven documents automatically using Mathematica commands typed by users. In other words, phpMath users can make interactive dynamic mathematical web contents even though they do not know anything about web server, HTML, and webMathematica. We illustrated the details of the prototype from the user's perspectives followed by comments on usefulness.

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Prediction of Tractive Performance of Tracked Vehicles Using a Computer Simulation Model

  • Park, W.Y.;Chang, Y.C.;Lee, K.S.
    • Agricultural and Biosystems Engineering
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    • v.4 no.1
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    • pp.34-38
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    • 2003
  • A mathematical model was developed for estimating the mechanical interrelation between characteristics of soil and main design factors of a tracked vehicle, and predicting the tractive performance of the tracked vehicle. Based on the mathematical model, a computer simulation program (TPPMTV) was developed in the study. The model considered the continuous change in tension for the whole track of a tracked vehicle, the analysis of shape and tension of the track segment between sprocket and first roadwheel, and the side thrust on both sides of grouser by the active earth pressure theory in predicting the tractive performance of a tracked vehicle. Also, the model contained not only sinkage depth of the track but the pressure distribution under the track in analyzing the side thrust. The effectiveness of the developed model was verified by performing the draw bar pull tests with a tracked vehicle reconstructed for test in loam soil with moisture content of 18.92%. The predicted drawbar pulls by the model were well matched to the measured ones. Such results implied that the model developed in the study could estimate the drawbar pulls well at various soil conditions, and would be very useful as a simulation tool for designing a tracked vehicle and predicting its tractive performance.

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The Mathematical Knowledge of Elementary School Teachers: A Comparative Perspective

  • Wong, Ngai-Ying;Rowland, Tim;Chan, Wing-Sum;Cheung, Ka-Luen;Han, Ngai-Sze
    • Research in Mathematical Education
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    • v.14 no.2
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    • pp.173-194
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    • 2010
  • This study examines the differences and similarities of mathematics teachers' subject matter knowledge among England, the Chinese mainland and Hong Kong. Data were collected from a ten-item test in the SKIMA subject matter audit instrument [Rowland, T.; Martyn, S.; Barber, P. & Heal, C. (2000). Primary teacher trainees' mathematics subject knowledge and classroom performance. In: T. Rowland & C. Morgan (eds.), Research in Mathematics Education, Volume 2 (pp.3-18). ME 2000e.03066] from over 500 participants. Results showed that participants from England performed consistently better, with those from Hong Kong being next and then followed by those from the Chinese mainland. The qualitative data revealed that participants from Hong Kong and the Chinese mainland were fluent in applying routines to solve problems, but had some difficulties in offering explanations or justifications.

What Feminist Mathematics Education tells to South Korea?

  • Kim, Rina
    • Research in Mathematical Education
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    • v.22 no.4
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    • pp.245-259
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    • 2019
  • I examine the discussions of studies related to feminist mathematics education and the implications of mathematics education in South Korea. In particular, I attempt to answer the following questions through literature reviews on feminist mathematics: What is the epistemological background of feminist mathematics education? How is feminist mathematics education defined and implemented? What does feminist mathematics education suggest in South Korea's mathematics curriculum? From the analysis of the literatures, I found that feminist mathematics education reflects not just the rights of female's rights but also a paradigm shift in epistemology of mathematics and philosophy of mathematics education. In this regard, feminist mathematics questions the existing mathematics education related to the female students who were marginalized in the composition and delivery of mathematics. Feminist mathematics education points out that in the course of the transfer of mathematical knowledge in schools, female students understand unilateral information procedurally without understanding the concept. Mathematics educators should consider alternative curricula that reflect the views of female students regarding the nature of mathematics. Students should be able to receive equal mathematics education in a school regardless of their gender. In this case, equal mathematics education refers to education methods that are suitable for both male and female students. The existing mathematics content and its teaching methods were designed based on the learning experiences of male students, which made them relatively difficult for female students to understand.

A Comparison of Free Response Items and Multiple Choice Items in Terms of Effectiveness of Estimating Mathematical Ability (수행형 문항과 선다형 문항의 수학적 능력 추정 효율성 비교)

  • Park, Jung;Park, Kyung-Mi
    • The Mathematical Education
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    • v.43 no.2
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    • pp.151-162
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    • 2004
  • For the past several years, performance assessment has been widely used by mathematics teachers. The superiority of performance assessment items compare to multiple choice items has been discussed by many researchers, however these discussions tend to be lack of empirical data. Thus, this study aims to examine the effectiveness of tree response items in comparison with multiple choice items. Using the information function in Item Response Theory(IRT), item information of free response items and multiple choice items from the Third International Mathematics and Science Study-Repeat(TIMSS-R) were obtained and compared. Test informations of the whole mathematics area as well as each content area of mathematics were computed. On average, tree response items yielded more information than multiple choice items, especially in measurement and data interpretation. This study also revealed that free response items estimated students' mathematics ability more accurately than multiple choice items with smaller number of items.

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Teachers' Decision and Enactment of Their Content Knowledge Assessed Through Problem Posing - A U.S. Case (문제 만들기를 통해 알아본 교사의 내용지식 사용에 대한 결정과 수행 - 미국 사례를 중심으로)

  • Noh, Jihwa
    • Communications of Mathematical Education
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    • v.31 no.2
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    • pp.153-166
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    • 2017
  • 164 preservice elementary teachers' decision and enactment of their knowledge of fraction multiplication were examined in a context where they were asked to write a story problem for a multiplication problem with two proper fractions. Participants were selected from an entry level course and an exit level course of their teacher preparation program to reveal any differences between the groups as well as any recognizable patterns within each group and overall. Patterns and tendencies in writing story problems were identified and analyzed. Implications of the findings for teaching and teacher education are discussed.

Development of the Problems and Rubrics for Performance Assessment in Elementary School Mathematics (수학과 수행평가 문항 및 분석기준 개발 연구)

  • Kim Min-Kyeong;Cho Mi-Kyung
    • The Mathematical Education
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    • v.45 no.1 s.112
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    • pp.1-24
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    • 2006
  • The purpose of the study was to design and develop the performance assessment problems and the rubric of holistic evaluation approach for elementary school students in higher levels (6 graders). Problems include 6 tasks related to all content areas such as number and operation, etc. In addition, the results show the analyses of children's problem solving process and investigate how the performance assessment problems could be developed in order to develop children's higher-order thinking and problem solving skills.

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The Study on the Students' Opinion about the Content Relevance in the 7th Mathematics Curriculum (제7차 수학과 교육과정의 교육내용 적정성에 관한 학생 의견 조사 연구)

  • Lee Dae-Hyun;Yim Jae-Hun
    • The Mathematical Education
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    • v.44 no.4 s.111
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    • pp.509-524
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    • 2005
  • The purpose of this study is to investigate the current state of the contents of the mathematics education that are implemented for 3-10 grade students in Korea. To satisfy the purpose of the study, we conducted a nationwide questionnaire to get opinions from students on the relevance of the mathematics curriculum. 4,158 elementary school students, 4,571 middle school students, and 1,653 high school students participated in this survey. Many students feel that the quantity is relevant, so the requirement of reduction in quantity is a little. Also secondary students feel that mathematics is difficult and this condition becomes more serious in proportion as grade. Finally we noticed the difference between sexes, grades, and tracks of studying in every question.

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Several Triangles with the Sides Connecting Sequences (변의 길이가 특별한 수열을 이루는 삼각형)

  • 김병무
    • The Mathematical Education
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    • v.41 no.2
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    • pp.203-213
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    • 2002
  • In this paper, we introduce the concepts of geometric and arithmetic triangles. Geometric and arithmetic triangles are special types of rational Heron triangles - triangles with rational sides and area. In addition, the theory illustrated in this paper gives certain theorems on the determination of non-right angled geometric and arithmetic triangles. In the meantime, with the help of Mathematica, we compute the sides and area of several triangles(GRT, IGT, RIGT, RAT). Since the material presented in this paper is within the reach of undergraduates, it can attract attention of mathematics students and may also be of interest to the mathematicians. In this content we believe this paper can help undergraduates to have interests in the new world of mathematics.

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