• 제목/요약/키워드: Math classes

검색결과 171건 처리시간 0.026초

SOME BILATERAL GENERATING FUNCTIONS INVOLVING THE CHAN-CHYAN-SRIVASTAVA POLYNOMIALS AND SOME GENERAL CLASSES OF MULTIVARIABLE POLYNOMIALS

  • Gaboury, Sebastien;Ozarslan, Mehmet Ali;Tremblay, Richard
    • 대한수학회논문집
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    • 제28권4호
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    • pp.783-797
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    • 2013
  • Recently, Liu et al. [Bilateral generating functions for the Chan-Chyan-Srivastava polynomials and the generalized Lauricella function, Integral Transform Spec. Funct. 23 (2012), no. 7, 539-549] investigated, in several interesting papers, some various families of bilateral generating functions involving the Chan-Chyan-Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Chan-Chyan-Sriavastava polynomials and three general classes of multivariable polynomials introduced earlier by Srivastava in [A contour integral involving Fox's H-function, Indian J. Math. 14 (1972), 1-6], [A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 117 (1985), 183-191] and by Kaano$\breve{g}$lu and $\ddot{O}$zarslan in [Two-sided generating functions for certain class of r-variable polynomials, Mathematical and Computer Modelling 54 (2011), 625-631]. Special cases involving the (Srivastava-Daoust) generalized Lauricella functions are also given.

문장제에 대한 이해정도가 문제해결력 신장에 미치는 영향에 대한 연구 -중학교 방정식과 부등식 단원을 중심으로- (The Study on the Influence that the Understanding Degree about the Sentence Stated Math. Problems Reach the Extension of the Problem Solving Capacity. - Focusing on the Unit of Equation and Inequality in Middle School -)

  • 지재근;오세열
    • 한국학교수학회논문집
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    • 제3권1호
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    • pp.189-200
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    • 2000
  • The purpose of this thesis is that the students understand the sentence stated math problems closely related to the real life and adapted the right solving strategies try to find the solution to a problem. The following research problem were proposed. 1. How repeated thinking lessons develop the understanding of problems and influence the usage of correct problem solving strategies and extensions of problem solving. 2. There are how much differences of achievement for each type of sentence stated problems by using comparative analysis of upper class, intermediate class, and lower class for each level between the experimental and comparative classes. In order to conduct this research the classes were divided into three different level - upper class, intermediate class and lower class. Each level include an experimental class and a comparative class. The two classes (experimental class and comparative class) of the same level were tested on the basis of class division record with the experimental class repeated learning papers for two weeks were used to guide the fixed thinking algorism for each sentence stated math problems. Eight common problems were chosen from a variety of textbooks : number calculation problems, velocity-distance-time problems, the density of a mixture, benefit problems, distribution problems, problems about working, ratio problems, the length of a figure problems. After conducting this research experiment The differences in achievement level between the experimental class and comparative class, were compared and analyzed through achievement tests made from the achievement test papers with seven problems, which were worth seventy points (total score). The conclusions of this thesis are as follows: Firstly, leaning activities through the usage of repeated learning papers for each level class produce an even development of achievement level especially in the case of the upper class learners, they have particular differences (between experimental class and comparative class) compared to the intermediate level and lower classes. Secondly, according to the analysis about achievement development each problems, learners easily accept the strategies of solution through the formula setting up to the problem of velocity -distance-time, and to the density of the mixture they adapted the picture drawing strategies interestingly, However each situation requires a variety of appropriate solution strategies. Teachers will have to employ other interesting solution strategies which relate to real life.

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클립형 콘텐츠를 활용한 수학 수업이 초등학생의 수학 학습에 미치는 영향 (Effects of Math Instruction Using Clip-Type Contents on Elementary Students' Mathematical Learning)

  • 김연경;오영열
    • 한국초등수학교육학회지
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    • 제18권2호
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    • pp.357-377
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    • 2014
  • 본 연구는 클립형 콘텐츠를 활용한 수학 수업이 학업성취도 및 태도에 미치는 영향을 분석하는데 목적이 있다. 이를 위해 서울특별시 관악구에 소재한 S초등학교의 4학년 2개 반을 실험집단과 비교집단으로 나누어 실험 수업을 실시한 후 사전 사후 학업성취도 및 검사를 실시한 후 통계적으로 유의미한 변화가 있는지 살펴보았다. 또한 클립형 콘텐츠를 수학 수업에 적용하였을 때 학생들의 반응을 분석하기 위해서 질적 관찰을 실시하였다. 본 연구의 결과 클립형 콘텐츠를 활용한 수학 수업은 학업성취도에 긍정적인 영향을 주었다. 또한 클립형 콘텐츠를 활용한 수학 수업은 수학적 태도에도 긍정적인 영향을 주었는데, 특히 '교과에 대한 자아개념', '교과에 대한 태도' 영역에 긍정적인 영향을 주었다. 마지막으로 클립형 콘텐츠를 적용한 수학 수업에 대한 질적 관찰 결과, 클립형 콘텐츠를 활용한 수학 수업은 문제 해결력 향상, 수학적 의사소통 능력 신장, 수학 학습 동기 유발, 효과적인 발문 유도, 다양한 교육 내용 활용, 학습 공간의 확장에 긍정적인 영향을 주었다.

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학업성취도 예측 요인 분석 및 인공지능 예측 모델 개발 - 블렌디드 수학 수업을 중심으로 (Analysis of achievement predictive factors and predictive AI model development - Focused on blended math classes)

  • 안도연;이광호
    • 한국수학교육학회지시리즈A:수학교육
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    • 제61권2호
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    • pp.257-271
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    • 2022
  • 본 연구는 학습분석학을 기반으로 블렌디드 수학 수업에서 발생하는 학습 데이터를 활용하여 수학 학업성취도를 예측하는 요인이 무엇인지 탐색하고, 그 결과를 활용하여 수학 학업성취도를 예측하는 인공지능 모델을 개발하고자 하였다. 초등학교 5~6학년 학생 205명의 수학 학습 성향, LMS 데이터, 평가 결과를 수집하여 랜덤포레스트 모델을 분석하였다. 수학 학습성향에는 수학학습 자신감, 수학불안, 수학교과 흥미, 수학학습 자기관리, 수학학습 전략이 포함되었다. LMS 데이터로 e학습터의 진도율, 학습 횟수, 학습 시간을 수집하였다. 평가는 진단평가와 각 단원의 단원평가 결과를 사용하였다. 분석 결과 수학 학습성향 중 수학 학습 전략이 저성취 학생을 예측에 가장 중요한 요인으로 나타났다. LMS 학습 데이터는 예측에 미미한 영향을 주었다. 본 연구는 인공지능 모델이 블렌디드 수학 수업에서 발생하는 학습 데이터로 저성취 학생을 예측할 수 있음을 시사한다. 또한 분석 결과를 통해 교사가 학생을 평가하고 피드백하는 데 구체적인 정보를 제공하여 교사의 평가 활동에 보조적인 역할을 할 수 있을 것으로 기대한다.

수학 영재교육에 대한 일반 영재학생과 사이버 영재학생의 인식 분석 (Gifted Students' Perceptions of On-line and Off-line Gifted Education in Mathematics)

  • 황희숙;김말숙
    • 수산해양교육연구
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    • 제22권3호
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    • pp.316-329
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    • 2010
  • The purpose of this study was to examine how middle school students perceived the operation of on-line and off-line math-gifted education. The research questions were as follows: 1. How do students recognize the current situation concerning the operation of on-line and off-line gifted education? 2. How do students recognize the effect and satisfaction level of on-line and off-line gifted education? 3. How do students recognize the improvement of on-line and off-line gifted education? The subjects in this study were 591 students who included 208 in on-line classes and 383 in off-line classes. The results were as follows: First, the students who were enrolled in the on-line and off-line classes regarded gifted people as ones who had a superb ability in a particular field and as ones who think creatively. Second, all the students in on-line and off-line classes found gifted education to be of use to developing their potentials, and they had the biggest preference for experiential field study as the most effective teaching method. Third, concerning their needs for the management of gifted classes, they asked for immediate Q&A services over the Internet.

A Study on the Effectiveness of LMS for Improving College Student's Mathematics Performance using a Propensity Score Matching Method

  • Heejoo PARK;Sunyoung BU;Jihoon RYOO
    • Educational Technology International
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    • 제25권1호
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    • pp.67-92
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    • 2024
  • This study aims to verify the practical effectiveness of learning management system (LMS) by introducing a LMS enhancing digital assessment utilizing automatic item generation in order to strengthen college student's mathematics performance. Teaching assisted with digital assessment in the LMS was applied to college mathematics classes, and the research question is whether or not students in the classes utilizing the LMS perform better than the regular classes. In particular, a calculus course, which is the foundation of important artificial intelligence technology in the future, was utilized in this study. The participants of this study were 248 freshmen in science and engineering who were taking calculus courses at a small to mid-size university. A total of 156 freshmen were selected after applying a propensity score matching method (PSMM), 78 from classes utilizing the LMS and 78 from regular classes without the LMS assisted with the digital assessment. As a result, it was found that there was a statistically significant difference in the math academic growth of students who used the LMS and those who did not. In other words, when LMS was used in calculus, students' academic growth was greater. The results of this study are meaningful in that they observed students' academic growth and confirmed that LMS enables a positive role in students' academic growth. In addition, if digital assessment is strengthened and LMS that enables individualized learning analysis is introduced and implemented in educational institutions, it is expected to play a major role in strengthening students' academic performance.

대학수학에서 편지쓰기를 이용한 학습태도 변화 (Learning Altitude Change with Letter-Writing at College Mathematics Class)

  • 김병무
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제22권2호
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    • pp.91-108
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    • 2008
  • 대학수학 학습에서 성공하기 위한 중요한 요인 중의 하나는 학생들에게 강력한 학습동기를 부여하는 것이다. 여기서는 글쓰기 과제가 수학 학습의 동기를 불러일으키고 학생들의 학습태도를 어떻게 변화시킬 수 있는가를 알아보려고 한다. 수업시간에 일어난 또는 의논된, 강의된 내용 중에서 두, 세 개의 가장 중요하다고 여겨지는 주제를 골라 학생들이 보고 느낀 대로 요약하여 친구나 가족 또는 보내고 싶은 사람에게 편지를 쓰도록 하고 편지쓰기 반응과 편지쓰기 결과를 분석하여 편지쓰기 시도가 수학의 저변확대와 수학학습 태도의 긍정적인 변화를 불러오고 나아가 학습능력 향상에 도움을 주는지 알아보고 더 나은 방법을 찾아본다.

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수학적 상황 설정 방법에 관한 연구 (A Study on the Method of Mathematical Situation Posing)

  • 홍성민;김상룡
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제6권1호
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    • pp.41-54
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    • 2002
  • The purpose of this study is to find out what mathematical situation means, how to pose a meaningful situation and how situation-centered teaching could be done. The obtained informations will help learners to improve their math abilities. A survey was done to investigate teachers' perception on teaching-learning in mathematics by elementary teachers. The result showed that students had to find solutions of the textbook problems accurately in the math classes, calculated many problems for the class time and disliked mathematics. We define mathematical situation. It is artificially scene that emphasize the process of learners doing mathematizing from physical world to identical world. When teacher poses and expresses mathematical situation, learners know mathematical concepts through the process of mathematizing in the mathematical situation. Mathematical situation contains many concepts and happens in real life. Learners act with real things or models in the mathematical situation. Mathematical situation can be posed by 5 steps(learners' environment investigation step, mathematical knowledge investigation step, mathematical situation development step, adaption step and reflection step). Situation-centered teaching enhances mathematical connections, arises learners' interest and develops the ability of doing mathematics. Therefore teachers have to reform textbook based on connections of mathematics, other subject and real life, math curriculum, learners' level, learners' experience, learners' interest and so on.

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예비수학교사의 AI 소양과 SW 역량 계발에 관한 사례 연구 (A Case Study on the Pre-service Math Teacher's Development of AI Literacy and SW Competency)

  • 김동화;김승호
    • East Asian mathematical journal
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    • 제39권2호
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    • pp.93-117
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    • 2023
  • The aim of this study is to explore the pre-service math teachers' characteristics of education to develop their AI literacy and SW competency, and to derive some implications. We conducted a 14-hours AI and SW education program for pre-service teachers with theory and practice, and an analysis on class observation data, video frames of classes and interview, Python programming assignments and papers. The results of this case study for 3 pre-service teachers are as follows. First, two students understood artificial neural network and deep learning system accurately, furthermore, all students conducted a couple of explorations related with performance improvement of deep learning system with interest. Second, coding and exploration activities using Python improved students' computational thinking as well as SW competency, which help them give convergence education in the future. Third, they responded positively to the necessity of AI literacy and SW competency development, and to applying coding to math class. Lastly, it's necessary to endeavor to give a coding education to the student's eye level according to his or her prerequisite and to ease the burden of student's studying AI technology.

Generation of Pattern Classifiers Based on Linear Nongroup CA

  • Choi, Un-Sook;Cho, Sung-Jin;Kim, Han-Doo
    • 한국멀티미디어학회논문지
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    • 제18권11호
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    • pp.1281-1288
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    • 2015
  • Nongroup Cellular Automata(CA) having two trees in the state transition diagram of a CA is suitable for pattern classifier which divides pattern set into two classes. Maji et al. [1] classified patterns by using multiple attractor cellular automata as a pattern classifier with dependency vector. In this paper we propose a method of generation of a pattern classifier using feature vector which is the extension of dependency vector. In addition, we propose methods for finding nonreachable states in the 0-tree of the state transition diagram of TPMACA corresponding to the given feature vector for the analysis of the state transition behavior of the generated pattern classifier.