• Title/Summary/Keyword: 수학 문제체계화

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An Analysis of Problem Posing in the 5th and 6th Grade Mathematics Textbooks and Errors in Problem Posing of 6th Graders (5, 6학년 수학교재의 문제만들기 내용 및 6학년 학생들의 문제만들기에서의 오류 분석)

  • Kim, Gyeong Tak;Ryu, Sung Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.2
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    • pp.321-350
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    • 2013
  • The purpose of this study to analysis of problem posing in 5th and 6th grade mathematics textbooks and to comprehend errors in the problem posing activity of 6th graders in elementary school. For solving the research problems, problem posing contents were extracted from mathematics textbooks and practice books for the 5th and 6th grade of elementary school in the 2007 revised national curriculum, and they were analyzed, according to each grade, domain and type. Based on the analysis results, 10 problem posing questions which were extracted and developed, were modified and supplemented through a pre-examination, and a questionnaire that problem posing questions are evenly distributed, according to each grade, domain and type, was produced. This examination was conducted with 129 6th graders, and types of error in problem posing were analyzed using collected data. The implications from the research results are as follows. First, it was found that there was a big numerical difference of problem posing questions in the 5th and 6th grade, and problem posing questions weren't properly suggested in even some domains and types, because the serious concentration in each grade, type and domain. Therefore, textbooks to be developed in the future would need to suggest more various and systematic of problem posing teaching learning activity for each domain and type. Second, the 'error resulting from the lack of information' occurred the most in the problems that 6th graders posed, followed by the 'error in the understanding of problems', 'technical errors', 'logical errors' and 'others'. This implies that a majority of students missed conditions necessary for problem solving, because they have been used to finding answers to given questions only. For such reason, there should be an environment in which students can pose problems by themselves, breaking from the way of learning to only solve given problems.

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Computer Programming Curriculum and Teaching Method in Connection with Mathematics Education System in the Elementary and Secondary Schools (초.중등학교에서 수학교육체계와 연계된 컴퓨터 프로그래밍 교육과정과 교수방법)

  • Park, Young-Mi;Yoo, Kwan-Hee
    • The Journal of the Korea Contents Association
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    • v.8 no.1
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    • pp.116-127
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    • 2008
  • In the $7^{th}$ education curriculum, computer education curriculum in the elementary and secondary schools is composited into the contents for the use of computers so that there are some limitations in teaching students the abilities for solving various problems of several areas using computers. Recently, the research has done to change the computer education curriculum for enhancing creativity and problem solving ability required by the future education. The contents of the main subject for enhancing them is of computer programming, however, there was not enough research on systematic programming education curriculum for leading to motivating learners and enhanced knowledge transfer to those learners. In this paper, we analysis the contents mathematics education curriculum with consecutive contents and in tight connection with computer education and then extract its programming related elements. Based on those, we propose a programming education curriculum with which we can teach systematically computer programing according to continual and systematic guidance in the elementary and secondary schools. And we develop a teaching model and learning guidance for teaching students programming methods with the computer programming education curriculum proposed in this paper.

Game Theory Based Co-Evolutionary Algorithm (GCEA) (게임 이론에 기반한 공진화 알고리즘)

  • Sim, Kwee-Bo;Kim, Ji-Youn;Lee, Dong-Wook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.3
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    • pp.253-261
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    • 2004
  • Game theory is mathematical analysis developed to study involved in making decisions. In 1928, Von Neumann proved that every two-person, zero-sum game with finitely many pure strategies for each player is deterministic. As well, in the early 50's, Nash presented another concept as the basis for a generalization of Von Neumann's theorem. Another central achievement of game theory is the introduction of evolutionary game theory, by which agents can play optimal strategies in the absence of rationality. Not the rationality but through the process of Darwinian selection, a population of agents can evolve to an Evolutionary Stable Strategy (ESS) introduced by Maynard Smith. Keeping pace with these game theoretical studies, the first computer simulation of co-evolution was tried out by Hillis in 1991. Moreover, Kauffman proposed NK model to analyze co-evolutionary dynamics between different species. He showed how co-evolutionary phenomenon reaches static states and that these states are Nash equilibrium or ESS introduced in game theory. Since the studies about co-evolutionary phenomenon were started, however many other researchers have developed co-evolutionary algorithms, in this paper we propose Game theory based Co-Evolutionary Algorithm (GCEA) and confirm that this algorithm can be a solution of evolutionary problems by searching the ESS.To evaluate newly designed GCEA approach, we solve several test Multi-objective Optimization Problems (MOPs). From the results of these evaluations, we confirm that evolutionary game can be embodied by co-evolutionary algorithm and analyze optimization performance of GCEA by comparing experimental results using GCEA with the results using other evolutionary optimization algorithms.

Analysis of the Content and Components of Consumer Competency Presented in Home Economics and Other Subjects of Middle School (중학교 가정교과와 타 교과에 제시된 소비자역량의 내용과 구성요소 분석)

  • Yoon, Sohee;Sohn, Sang-Hee;Lee, Soo-Hee
    • Journal of Korean Home Economics Education Association
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    • v.32 no.3
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    • pp.81-96
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    • 2020
  • This study aims to identify implications for the role of home economics in consumer education in middle schools focusing on building consumer competency. To this end, the content in middle school textbooks of home economics and other subjects, written according to the 2015 revised curriculum, were analyzed. This study examined consumer education content based on the consumer competency measurement index developed by the Korean Consumer Agency, and reviewed different foci presented by subjects. This study also investigated how the knowledge, attitude and practice, which are components of consumer competency, are presented. The major findings of this study can be summarized as follows: First, consumer competency content, presented in textbooks of home economics and other subjects, were comprised of citizenship competency(65.3%), transactional competency(27%), and financial competency(7.7%). Second, in terms of content on the consumer's citizenship competency, little attention was paid to consumer rights, revealing an imbalance between responsibilities and rights. Third, despite its importance, the "utilization of information and communications technology" in transaction competency, and "consumer participation" in citizenship competency are insufficiently covered in the home economics. Fourth, social studies was the subject that most extensively covered the content of consumer competency. In terms of scope, home economics dealt with most of the sub-fields. Fifth, even when the same content of consumer competency was covered, it was presented differently by subject. Sixth, there was a lack of connection between components of consumer competency-knowledge, attitude, and practice, with a disproportionately high emphasis on knowledge. In conclusion, this study concluded that consumer education content of middle school subjects is insufficient to enhance consumer competency.