• 제목/요약/키워드: Ability of the mathematics problem-solving

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STEM 기반 수학 교수-학습 프로그램의 효과에 관한 연구 (A study on the effects of STEM based approach for teaching and learning mathematics)

  • 이혜숙;민주영;한혜숙
    • 한국학교수학회논문집
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    • 제16권2호
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    • pp.337-362
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    • 2013
  • 본 연구는 STEM 기반 수학 교수-학습 프로그램을 개발, 적용하여 이 프로그램이 중학교 2학년 학생들의 수학 학습 및 진로 선택에 어떤 영향을 미치는지에 대해서 조사하였다. 본 연구에서 개발한 STEM 기반 수학 교수-학습 프로그램은 학생들이 수학적 개념을 과학, 기술 공학, 실생활과 연계하여 학습할 수 있도록 설계되었다. 연구 결과에 의하면 STEM 기반 교수-학습 프로그램은 학생들의 수학 교과에 대한 정의적 특성(자기조절력, 가치인식, 자신감)과 문제해결력을 향상시키는데 긍정적인 영향을 미친 것으로 나타났다. 이와 더불어 STEM 기반 교수-학습 프로그램은 학생들이 이공계 분야로 진로를 설정하거나 탐색하도록 하는데 긍정적인 역할을 한 것으로 나타났다.

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수학과 서술형 평가의 문항개발 사례 연구 - 4-나 단계를 중심으로 - (A Case Study on the Development of Descriptive Problems in Grade 4 Mathematics)

  • 홍지연;김민경;노선숙;권점례
    • 대한수학교육학회지:수학교육학연구
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    • 제18권3호
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    • pp.335-352
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    • 2008
  • 본 연구는 수학과 서술형 평가에 관한 문항개발 사례 연구로서 교사들이 학교 현장에서 실제적으로 활용할 수 있는 평가문항과 평가기준을 개발하는데 목적이 있다. 이를 위해 평가문항과 평가기준의 개발절차를 마련하고 초등학교 4-나 단계의 각 단원에 해당되는 구체적인 서술형 평가 문항과 그에 대한 평가기준을 개발하였다. 개발 과정에서 문항의 신뢰도 검증을 위하여 서술형 평가 문항과 평가기준을 초등학교 4학년 학급에 적용한 결과를 분석하였다.

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초등학교 수학교육에 있어서 계산기 활용에 관한 고찰 (A Study on the Use of Calculatios in Elementary School Mathematics)

  • 남승인;김옥경
    • 대한수학교육학회지:수학교육학연구
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    • 제8권1호
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    • pp.251-568
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    • 1998
  • It is the purpose of this study that is to examine the practice and awareness on the use of calculator and to find the method to utilize the calculator as the tool in elementary school mathematics. Recently, it is recommendes strongly to use technical tools such as calculator and computer for the quiltative development on mathematics education. But we prohibite the usage of calculator and do not have the policy to use the calculator in our country because we have little understanding about it. The following direction for educational development is focused not on the repeat learning through the written computation, but on the ability for students to choose an operator and to perform the task with their own objects and strategies. By using the calculator, We can do the followings : 1)to help the mathematical concept develop, 2)to expand the computational ability from written computation to both mental computation and computational estimation, 3)to use the practical value in the problem situation, 4)to reinforce the problem solving, 5)to obtain the interest and the confedence on mathematics. Therefore, we must endevor actively for the broad usage of calculator in the mathematics class.

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수학 ${\cdot}$ 과학 연재 원격 교육 프로그램 개발과 평가 (Development and evaluation of distance learning for the gifted students in science and mathematics)

  • 정영근;고영구;박종원;임재훈
    • 영재교육연구
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    • 제13권3호
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    • pp.1-17
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    • 2003
  • 본 연구에서는 중학교 수학·과학 영재학생을 대상으로 하는 원격교육 자료를 개발하고 원격교육을 실시하여 학생의 반응을 분석하였다. 원격교육은 4가지 유형 - 원격강의용 프로그램을 이용한 강의형, 시뮬레이션 프로그램을 통한 실습형, 토론식 과제해결형, 문제해결형 - 으로 개발하였고, 학생의 반응은 8개 영역 - 자극, 난이도, 구성, 학습환경, 참여, 상호작용, 학습결과, 다른 수업과의 비교 - 에서 조사되었다. 조사 결과, 난이도는 모두 높게 나타났지만 원격교육이 학생에게 주는 자극은 모두 긍정적인 것으로 나타났고 개발한 원격교육이 창의성, 논리적 사고, 지적능력, 정보탐색 능력 향상에도 도움이 된다고 응답 하였다. 영재학생들은 학습내용을 상세하게 설명해 주는 방식보다는 적절한 안내 후에 스스로 실습해 보게 함으로써 인지적인 도전을 유발하게 하는 것이 참여도를 높이는 것으로 나타났다. 또한 토론식 과제해결형과 같이 토론을 유도한 경우에서만 상호작용이 있는 것으로 나타났다.

ACCELERATED STRONGLY CONVERGENT EXTRAGRADIENT ALGORITHMS TO SOLVE VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN REAL HILBERT SPACES

  • Nopparat Wairojjana;Nattawut Pholasa;Chainarong Khunpanuk;Nuttapol Pakkaranang
    • Nonlinear Functional Analysis and Applications
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    • 제29권2호
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    • pp.307-332
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    • 2024
  • Two inertial extragradient-type algorithms are introduced for solving convex pseudomonotone variational inequalities with fixed point problems, where the associated mapping for the fixed point is a 𝜌-demicontractive mapping. The algorithm employs variable step sizes that are updated at each iteration, based on certain previous iterates. One notable advantage of these algorithms is their ability to operate without prior knowledge of Lipschitz-type constants and without necessitating any line search procedures. The iterative sequence constructed demonstrates strong convergence to the common solution of the variational inequality and fixed point problem under standard assumptions. In-depth numerical applications are conducted to illustrate theoretical findings and to compare the proposed algorithms with existing approaches.

웹을 활용한 온라인 토론과 수학적 상호작용 및 문제해결에 관한 연구 (A Study on Mathematical Interaction and Problem Solving via Web-Based Discussion)

  • 조민식;김은진
    • 대한수학교육학회지:수학교육학연구
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    • 제12권1호
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    • pp.109-124
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    • 2002
  • This study investigated various effects of WBD(web-based discussion) on mathematical communication, interaction and problem solving in the classroom. We developed a web site including BBS and chat room in order to encourage students' mathematical curiosities and self-studies. The web site had been operated for 6 months. Five classes of 1st grade students were selected from an middle school in Daejon. Moreover, we analyzed several cases for interactional behavior and effect. WBD promote dialogue between a teacher and students. Analysis of feed-back from BBS revealed that student's negative attitudes could be changed to positive ones by step-by-step discussions. Moreover, collaborative learning is enhanced by on-line discussion. But the effects of WBD are affected by the character and ability of a student.

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남녀 학생의 수학 기초학력과 배경 변인의 분석 (Analysis of Basic Competency for Basic Mathematics and Background by gender)

  • 김선희
    • 한국수학교육학회지시리즈A:수학교육
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    • 제46권1호
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    • pp.33-52
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    • 2007
  • This study is based on the grade 3 National Diagnostic Assessment of Basic Competency(NDABC) in 2005. The purpose of this study is to analyze the results of NDABC by students' gender. It was 19,257 grade 3 students that participated in this study. The average scores are 89.41 and 88.34 for each male and female. The percentage of Below-Basic level for male students is 4.6% and for female 5.6%. The percentage of female students at Below-Basic level is increasing for 3 years. In particular, the percentage of females at Below-Basic level is higher than that of males in the content of measurement, the cognitive domain of reasoning and problem solving, and the situation of real life. The item difficulty for males is lower in fraction, polygon, and right triangle than for females. But female students need to improve the space sense and the problem solving ability in real life. As for the background of students, males think that mathematics is exciting and not difficult in comparison with what females think. And parents of mates are more concerned about children's learning than those of females.

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수학교구를 활용한 수업의 흥미도 및 문제해결력 신장에 관한 연구

  • 신종석;표용수
    • East Asian mathematical journal
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    • 제27권2호
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    • pp.117-139
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    • 2011
  • This study aimed to examine what effects the lessons based on some mathematical tools have on the students' interest and problem solving ability. For this study, 2 classes of 5th graders who go to an elementary school were chosen and divided into an applied class and a comparative class. The applied class were taught through the lesson plans based on the mathematical tools and reorganized worksheets, and the comparative class were taught through the regular lesson plans based on the text. After conducting the lessons, examinations were implemented to check out the students' interest level and problem solving ability in the procedure of before-exam, during-exam, and after-exam.

중등학교 수학수업에서의 그룹활동을 통한 실험수업 연구와 자료 개발 (A Study and Development of Materials for Experimental Classes through Group Activities in Secondary School Math Classes)

  • 김응환;한치원
    • 한국학교수학회논문집
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    • 제3권2호
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    • pp.155-164
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    • 2000
  • The future society will demand that enables one to solve in many fields by connecting various informations in many fields and then creating his own information. In the coming society, creativeness will be regarded much important. This ability can be developed with materials through group activities experimental class in math classes. This classes using these materials are not teacher-oriented, explanatory classes but student-oriented ones. They offer students opportunities to think by themselves and expand their potential abilities. They are suitable for rising and keeping student's interests. Therefore experimental classes through group activities enable students to think mathematically and make them recognize the importance of mathematical approach by letting them work connecting other subjects or things in real life. They can develop not only expressive, communicative ability and cooperative spirit, but also the ability to transcend the class itself and then reorganize facts in new insights. Besides, math classes with experiments can arouse student's curiosity familiarizing them with mathematics. Moreover, they can expand student's originative and problem-solving abilities.

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물리학습을 위한 STEAM 기반의 안드로이드 앱 개발 (A Development of Android Application for Physics Learning Based on STEAM)

  • 김태훈;김종훈
    • 수산해양교육연구
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    • 제24권1호
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    • pp.25-33
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    • 2012
  • Though science and technology are evolving rapidly in recent years, the traditional science education has limits for students to be satisfied their interests and needs because they couldn't follow these speeds. STEAM as a education integrating science, technology, engineering, arts and mathematics has strengths of increasing interests and understandings in science and technology and improving integrated thinking and problem solving ability for leaners. In this study we analyze the elementary school curriculum and construct physics learning based on STEAM and develop a android application to increase interests in science and improve problem solving ability. In the future, we need to analyze and develop the curriculum and contents for the STEAM education.