• Title/Summary/Keyword: foundation of Mathematics education

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중등 교사 양성을 위한 수학교육학 및 수학사 강좌에 대한 연구 (A Study on Teaching-Learning programs of Mathematics Education and Mathematics History Related Courses for Training of Mathematics Teacher of Secondary Schools)

  • 한인기
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권4호
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    • pp.465-480
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    • 2003
  • The main purpose of this work is to propose programs of mathematics education and mathematics history courses for the department of mathematics education of teacher training universities. Foundation of Mathematics Education, Mathematics Teaching and Learning Theories, Mathematics Problem Solving, Analysis and Evaluation of Mathematics Teaching Materials and Mathematics History are discussed in this article.

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우리나라 수학교육의 문제점 진단을 위한 조사 연구 (A Survey Research to Diagnose the Problems of Mathematics Education ID Korea)

  • 박경미;김동원
    • 한국수학교육학회지시리즈A:수학교육
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    • 제50권1호
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    • pp.89-102
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    • 2011
  • The purpose of this study is to diagnose the problems of mathematics education in Korea by conducting an in-depth analysis of international comparative studies, a Delphi method, and a survey. Further analysis of TIMSS and PISA results also reveals several negative aspects of mathematics education practice in Korea. The mathematics education experts' opinions collected by Delphi method were classified into 12 categories: private education and test-driven education, curriculum and textbooks, lessons, evaluation, teacher, learner, teaching aid and facilities. affective aspects of mathematics, discrepancy between a theory and a practice, preservice/inservice teacher education and teacher employment test, education policy, and overall. Another survey was conducted to focus more on the development of curriculum which is a pending issue. Considering the fact that mathematics education should contribute to improve practical aspect as well as elaborate theoretical aspect, this study lays a foundation of improvement of mathematics education in Korea.

BOUNDS ON THE GROWTH RATE FOR THE KUO PROBLEM

  • S. LAVANYA;V. GANESH;G. VENKATA RAMANA REDDY
    • Journal of applied mathematics & informatics
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    • 제41권2호
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    • pp.363-372
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    • 2023
  • We consider Kuo problem of hydrodynamic stability which deals with incompressible, inviscid, parallel shear flows in the 𝛽-plane. For this problem, we derived instability region without any approximations and which intersects with Howard semi-circle region under certain condition. Also, we derived upper bound for growth rate and amplification factor of an unstable mode and proved Howard's conjecture.

ON HOMOGENEOUS SHEAR FLOWS WITH BOTTOM CROSS SECTION

  • S. LAVANYA;V. GANESH;G. VENKATA RAMANA REDDY
    • Journal of applied mathematics & informatics
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    • 제41권5호
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    • pp.1071-1084
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    • 2023
  • We consider inviscid, incompressible homogeneous shear flows of variable cross section known as extended Rayleigh problem. For this extended Rayleigh problem, we derived instability region which intersect with semi-circle instability region under some condition. Also we derived condition for stability, upper bound for amplification factor and growth rate of an unstable mode.

ON THE BOUNDS FOR WAVE STABILITY OF STRATIFIED SHEAR FLOWS

  • S. LAVANYA;V. GANESH;G. VENKATA RAMANA REDDY
    • Journal of applied mathematics & informatics
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    • 제42권1호
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    • pp.105-121
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    • 2024
  • We consider incompressible, inviscid, stratified shear flows in β plane. First, we obtained an unbounded instability region intersect with semi-ellipse region. Second, we obtained a bounded instability regions depending on Coriolis, stratification parameters and basic velocity profile. Third, we obtained a criterion for wave stability. This has been illustrated with standard examples. Also, we obtained upper bound for growth rate.

수학교육 선진화 방안의 중학교 교과서 적용 실태 분석 (The research on the actual application of the national mathematics education advance plan to the new mathematics textbooks)

  • 강옥기;김수철;이환철
    • 한국수학교육학회지시리즈A:수학교육
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    • 제52권2호
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    • pp.129-147
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    • 2013
  • The Ministry of Education Science and Technology represented National Mathematics Education Advance Plan in 2012. The plan is focused on reinforcing mathematics education, improving understanding about mathematics, and enhancing self-guided learning. After the National Mathematics Education Advance Plan new middle school mathematics textbooks have been developed and they will be used from 2013. The purpose of this study is to analyse those mathematics textbooks to find how the National Mathematics Education Advance Plan is affected to the mathematics textbooks. This study found some important aspects affected from the Advance Plan to those textbooks and some implications for the future Korean mathematics education.

중.고등학교 수학 내신 평가문항 개발 가이드라인 연구 (A Study on a Guide-Line for Assessment Items Development in Middle and High School Mathematics)

  • 이환철;김동원;황혜정;김부미;김선희;이형주
    • 한국학교수학회논문집
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    • 제16권4호
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    • pp.637-654
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    • 2013
  • 본 연구는 수학교육 선진화 방안('12.1)에 따라 중 고등학교 수학교사가 내신 평가문항을 출제함에 있어 유념해야할 개발 절차를 안내하는 것을 목적으로 하였다. 연구 결과, 평가문항 개발 가이드라인을 크게 '지도 내용 분석 과정', '평가 문항 구성 과정', '평가 문항 완성 과정'으로 범주화하여 제시하였다. 본 연구의 적용 과정에서 연구 결과가 수학교사의 평가전문성 신장에 기여할 것이며 교사의 평가문항 출제 후 자기진단 도구로도 활용될 수 있음을 확인하였다.

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컴퓨터 수학교육론의 인식론적, 심리학적 기초 (Epistemoligical and psychological foundation for computer mathematics education)

  • 류희찬;조완영
    • 대한수학교육학회지:수학교육학연구
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    • 제8권2호
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    • pp.621-634
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    • 1998
  • Emthusiasm about the introduction of computers into mathematics education is widespred. But, the perspectives about the relationship between mathematics education and computer are diverse. The purpose of this study is to examine theoretical background for using computers in mathematics education. In spite of the pedagogical possibilities of computers. only a small minority of mathematics teachers are using computers in mathematics classroom. It is natural to seek this obstacles within theoretical background of the teachers who manage computers, In this study, We discuss the problems in the two sides. First, due to increased computer activity, relationship of mathematics in school with mathematics in society is changing. It is tension between academic mathematics and practical mathematics. School mathematics have to be changed toward stressing practical mathematics. Second problem is the dialectical relationship between the individual and the collective. While maintaining a respect for the individuality of student contributions. We take into account the social dimension of mathematical meaning-making. We discussed theoretical clarification of work collaborative learning. We propose the case study for the roles of computer in collaborative mathematics learning.

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SOME FIXED POINT THEOREMS FOR MODIFIED JS-G-CONTRACTIONS AND AN APPLICATION TO INTEGRAL EQUATIONS

  • CHARY, V. SRINIVAS;REDDY, G. Sudhaamsh MOHAN;ISIK, HUSEYIN;AYDI, HASSEN;CHARY, D. SRINIVASA;RADENOVIC, STOJAN
    • Journal of applied mathematics & informatics
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    • 제38권5_6호
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    • pp.507-518
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    • 2020
  • In this article, we establish some fixed point results in G-metric spaces using the modified JS-G-contractions and we provide some suitable examples to support the results. Also, we give an application to solve an integral equation.

Investigation and Analysis of Mathematics Application Ability of Student of Senior One

  • Dan Qi
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제9권3호
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    • pp.295-303
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    • 2005
  • Students' mathematics application ability is a hot spot which mathematics education pays attention. So, I have carried on the test of mathematics application and the questionnaire survey to student of Senior One of the two middle schools. Through the test and the investigation, I discover that the level of the students' mathematics application ability is not high. To the simple application question, the difference of the male and the female is not big, but to the difficult application question, the male and the female has the remarkable difference. The students' lack of flexible and the original cognition monitoring ability in mathematics application process are afraid of studying mathematics application since childhood and lack of the training of this aspect. They thought mathematics foundation and reading understood ability is the key of mathematics application. Through analysis result of investigation, this paper proposed the way to raise mathematics application ability of students.

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