• 제목/요약/키워드: Concrete thinking

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A Study on Problem Solving in Elementary School Mathematics I$^{1)}$ (초등학교 수학에서의 문제해결에 관한 연구I$^{1)}$)

  • 최창우;권기자
    • Education of Primary School Mathematics
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    • 제3권1호
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    • pp.63-77
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    • 1999
  • We introduce what is the meaning of problem and problem solving and also different type of problems and problem-solving strategies were discussed in this paper, with suggestions for teaching both Polya's four-step strategy and specific problem solving strategies. Many real and concrete examples of routine and nonroutine problems in elementary school mathematics are introduced. Especially, we have researched on the actual condition how children in elementary school think about multiplication of fraction for the routine problem. As a result, we have noticed that children have diverse thinking in their own way and also concrete expressions are much better effective than algorithm showing in textbook.

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Brain Activation Pattern and Functional Connectivity during Convergence Thinking and Chemistry Problem Solving (융합 사고와 화학문제풀이 과정에서의 두뇌 활성 양상과 기능적 연결성)

  • Kwon, Seung-Hyuk;Oh, Jae-Young;Lee, Young-Ji;Eom, Jeung-Tae;Kwon, Yong-Ju
    • Journal of the Korean Chemical Society
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    • 제60권3호
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    • pp.203-214
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    • 2016
  • The purpose of this study was to investigate brain activation pattern and functional connectivity during convergence thinking based creative problem solving and chemistry problem solving to identify characteristic convergence thinking that is backbone of creative problem solving using functional magnetic resonance imaging(fMRI). A fMRI paradaigm inducing convergence thinking and chemistry problem solving was developed and adjusted on 17 highschool students, and brain activation image during task was analyzed. According to the results, superior frontal gyrus, middle frontal gyrus, inferior frontal gyrus, medial frontal gyrus, cingulate gyrus, precuneus and caudate nucleus body in left hemisphere and cuneus and caudate nucleus body in right hemisphere were significantly activated during convergence thinking. The other hand, middle frontal gyrus, medial frontal gyrus and caudate nucleus in left hemisphere and middle frontal gyrus, lingual gyrus, caudate nucleus, thalamus and culmen of cerebellum in right hemisphere were significantly activated during chemistry problem solving. As results of analysis functional connectivity, all of areas activated during convergence thinking were functionaly connected, whereas scanty connectivity of chemistry problem solving between right middle frontal gyrus, bilateral nucleus caudate tail and culmen. The results show that logical thinking, working memory, planning, imaging, languge based thinking and learning motivation were induced during convergence thinking and these functions and regions were synchronized intimately. Whereas, logical thinking and inducing learning motivation functioning during chemistry problem solving were not synchronized. These results provide concrete information about convergence thinking.

A Study on the Adolescent폭s Experiences in Domestic Violence (폭력가정 청소년의 가족폭력 경험에 관한 연구)

  • 김경희
    • Journal of Korean Academy of Nursing
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    • 제28권1호
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    • pp.70-80
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    • 1998
  • This study is designed to contribute to the nursing intervention of adolescent domestic violence victims by describing specifically what they go through and on this basis work out a grounded theory on the adolescent's experience in domestic violence. The data were analyzed in the framework of grounded theory as mapped out by Strauss & Corbin(1990). The major findings of this research are as follows : The core category was found to be the the adaptation of "Joyudeum" or “Straight jacketing”. The sub-categories identified in the process of grounded data analysis were 'menacing', 'being harassed', 'being pressed', 'being attacked', 'being strapped', 'being filled with anger'. 'getting angry', 'being oppressed', 'being strained', 'becoming hard', 'endurance', 'regulation', 'seriousness'. 'repitition'. 'being helpful', 'dependence', 'thinking oriented', 'blowing off', 'going astray', 'self-deprecating', 'shaking off', 'covering up', 'governing', 'being devoted', 'performing', 'being transformed'. 'bolting', 'being shaken', 'withdrawing', 'disliking', 'bitterness'. These categories were again grouped into 13 categories including 'threatening'. 'straight jacketing', 'tolerance', 'violence', 'supporter', 'supporting type', 'thinking oriented'. 'impulsive response', 'self-controlled', 'response', 'self-reliance', 'wandering', 'withdrawal' and pain'. Of these the five sub-categories 'being filled with anger'. 'getting angry', 'being oppressed', 'being strained', 'becoming hard' were grouped into a core category "straight jacketing". Those adolescents brought up in a violent family go through three stages of the adaptation of "straight Jacketing". that is, generation, response and adaptation. The following four theses were confirmed on the basis of repetitive relations : 1) If a subject's tolerance is strong, the episodes of the violence are frequent and serious, with the resulting straight jacketing being stronger but the subject's supporter is highly mature, the supporting type is concrete and the thinking oriented is wishful, the responses to the straight jacketing result in a self-control whose consequence is self-reliance with part of it resulted in withdrawal and pain. 2) If a subject's tolerance is weak, the episodes of the violence are frequent but not serious, with the resulting straight jacketing being weaker but the subject's supporter is immature, the supporting type is superficial and the thinking oriented is extemporary, the responses to the straight jacketing result in an impulsion whose consequence is wandering with part of it resulted in withdrawal and pain. 3) If a subject's tolerance is weak, the episodes of the violence are frequent and serious, the straight jacketing is strong, the subject's supporter is immature and the supporting type is superficial but the thinking oriented is wishful, the responses to the straight jacketing result in an impulsion whose consequence is withdrawal and pain with part of it resulted in wandering. 4) If a subject's tolerance is strong and the episodes of the violence are infrequent and not serious, the straight jacketing is weak, the subject's supporter is immature and the supporting type is superficial but the thinking oriented is wishful, the responses to the straight jacketing result in a self-control whose consequence is withdrawal and pain with part of it resulted in self-reliance.

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Elementary School Children's Perception of Proverbs and Characteristic of the Perceived Proverbs (초등학교 아동의 속담인지수준과 인지속담의 특성)

  • Cho, Bok-Hee;Lee, Joo-Yeon;Kang, Gi-Sook
    • Journal of the Korean Home Economics Association
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    • 제45권4호
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    • pp.77-86
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    • 2007
  • The purpose of this study is to explore the number and type of proverbs known by elementary school children and explain what variables might influence the proverbs' perception. From Seoul and Chonbuk areas, 632 forth, fifth, and sixth graders at elementary school participated. They completed an open-ended questionnaire asking them to list as many proverbs as they know and probing their experience in the use of proverbs with grandparents, parents, and peers. The results showed that the participants listed a total of 185 proverbs, at an average of six proverbs each, and that 63% were a concrete proverb consisting of only concrete and visible nouns. Children reported relatively different ratios of concrete/abstract/complex proverbs according to their grade. Sixth graders perceived more proverbs which included nouns than other graders. Multiple regression analysis revealed that children's grade and using proverbs with peers influenced their proverb perception. These results may suggest a possibility of relationship between figurative language and cognitive development related to thinking of late school-age children.

The Effects of Learning Clinic Program on Cognitive Processing Styles for Learning Maladjusted Children (학습클리닉프로그램이 학습부적응 아동의 인지처리양식에 미치는 효과)

  • HWANG, Mi-Young;WON, Hyo-Heon
    • Journal of Fisheries and Marine Sciences Education
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    • 제29권3호
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    • pp.909-919
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    • 2017
  • The purpose of this study was to apply the learning clinic program to the maladjusted children to help the cognitive processing style, sense type and learning strategy. The results were as follows. First, the cognitive processing style of low-grade elementary school children is divided into the concept of sequential low-order style, which analyzes information sequentially and consecutively, concrete thinking style that processes real and direct information coming in from outside, and invisible principle or information. The abstract cognitive thinking style improved after the process before the program proceeded. However, There was no meaningful result in the simultaneous processing cognitive style which had excellent intuition and emotion and likes change. Second, the temporal lobe in which the linguistic activity is viewed, heard and spoken in the sensory type, the function of the occipital lobe in which the character or the language is processed is improved, but the function of the parietal lobe in moving and manipulating the body is not significant. Finally, factors that contribute to learning such as sincerity, learning initiative, study method, study habits, and concentration are helpful in learning and school life.

An Analysis on Concepts and Methods of Teaching Fractions (분수 개념 지도 내용과 방법 분석)

  • Kang, Wan
    • Journal of Educational Research in Mathematics
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    • 제24권3호
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    • pp.467-480
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    • 2014
  • Concepts related to the fraction should be taught with formative thinking activities as well as concrete operational activities. Teaching improper fraction should follow the concept of fraction as a relation of two natural numbers. This concept is also important not to be skipped before teaching the fraction such as "4 is a third of 12". Mixed number should be taught as a sum of a natural number and a proper fraction. Fraction as a quotient of a division is a hard concept to be taught since it requires very high abstractive thinking process. Learning the transformation of division into multiplication of fractions should precede that of fraction as a quotient of a division.

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Development and Application of FAAP Learning Model for the Concrete Operational Period's Students (구체적 조작기 학생들을 위한 선 알고리즘 후 프로그래밍 학습 모형의 개발 및 적용)

  • Huh, Min;Jin, Young-Hak;Kim, Yung-Sik
    • The Journal of Korean Association of Computer Education
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    • 제13권1호
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    • pp.27-36
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    • 2010
  • Introducing algorithm and programming education to the middle school 'Information' curriculum is appropriate to develop higher thinking skills like problem solving ability and creativity that is the most important ability to the people living in the knowledge and information society. But to providing reduced algorithm and programming contents of higher education increase the cognitive burden on the students in the concrete operational period who is not yet reached to the formal operational period, and moreover transfering principles and strategies learned in the algorithm to the programming for the problem solving is difficult. For this study, student's developmental characteristics in the concrete operational period among cognitive developmental periods was considered, and FAAP(First-Algorithm After-Programming) learning model which can transfer algorithm to programming was developed, and finally the effectiveness of learning motivation and achievement to the concrete operational period's students was verified. Results of the tests showed that learning motivation and achievement of the concrete operational period's students that learned FAAP model were different significantly.

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Investigation of Scientific Argumentation in the Classes for Elementary Gifted Students (초등 단위 학교 영재 수업에서 나타나는 과학적 논증 과정에 대한 탐색)

  • Lim, Hyeon-Ju;Shin, Young-Joon
    • Journal of Korean Elementary Science Education
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    • 제31권4호
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    • pp.513-531
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    • 2012
  • This study was to analyze the characteristic of scientific argumentation in the classes for the gifted of elementary school. The participants of this study were 5 fifth graders and 9 sixth graders, 14 in total, from the basic unit schools for gifted students of J elementary school in Incheon city. And it constituted small scale groups made up of 2~3 students with similar or identical ability in scientific reasoning. It had set up hypothesis for each group before the experiment, and students had a group discussion as a whole after the experiment. Classes were conducted 4 times, all courses were recorded as a sound/video. The ability in scientific reasoning of the students was inspected, making use of SRT II by means of pre-survey, and their argumentation levels were analyzed, utilizing 'Rubric for scientific argumentation course assessment.' As a result, argumentations did not incurred in every class. Analysis in argumentations of the students resulted in low level argumentation. This means argumentation cannot incur based on that with the limit in understanding the principle of experiments over the threshold of textbook no matter that he is an gifted student or not. The student both in formal operational period and transition period (2B/3A), the ability of scientific thinking in upper level, was improved of his argumentative ability in an overall aspect. However, a student of concrete operational period, the ability of scientific thinking in lower level, had argumentation with still lower level even after the experiment at the moment of discussing with the students on the upper level of scientific thinking ability.

Systematic review on the research of mathematical beliefs in Korean mathematical education (국내 수학교육의 수학적 신념 연구에 관한 체계적 분석)

  • Lee, Seonyoung;Han, Sunyoung
    • The Mathematical Education
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    • 제59권4호
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    • pp.331-355
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    • 2020
  • The purpose of this study is to systematically analyze the results of the existing research on mathematical beliefs, compare and synthesize the valuable results and to suggest implications for mathematical beliefs and research. As a result of checking the methodological quality of 59 articles in total using the MQA(Methodological Quality Assessment) checklist, most of them surveyed mathematical beliefs using questionnaires, and most of the studies were conducted on prospective teachers. As a result of systematic review, the conceptual characteristics of mathematical beliefs, object-specific characteristics, and the educational influence of mathematical beliefs were able to synthesize the meaning. Mathematical beliefs had important educational influences in the practice of teachers, students, and math classes. As the results of the study, we emphasize the importance of changing the beliefs of students and teachers in order to solve the problem of mathematical education, where students rely on private education rather than activity thinking, and teachers do not pay attention to students thinking. It has been shown that concrete support is needed for practicing participatory instruction focused on mathematical thinking.

A Didactical Analysis on the Understanding of the Concept of Negative Numbers (음수 개념의 이해에 관한 교수학적 분석)

  • Woo, Jeong-Ho;Choi, Byung-Chul
    • Journal of Educational Research in Mathematics
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    • 제17권1호
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    • pp.1-31
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    • 2007
  • Negative numbers have been one of the most difficult mathematical concepts, and it was only 200 years ago that they were recognized as a real object of mathematics by mathematicians. It was because it took more than 1500 years for human beings to overcome the quantitative notion of numbers and recognize the formality in negative numbers. Understanding negative numbers as formal ones resulted from the Copernican conversion in mathematical way of thinking. we first investigated the historic and the genetic process of the concept of negative numbers. Second, we analyzed the conceptual fields of negative numbers in the aspect of the additive and multiplicative structure. Third, we inquired into the levels of thinking on the concept of negative numbers on the basis of the historical and the psychological analysis in order to understand the formal concept of negative numbers. Fourth, we analyzed Korean mathematics textbooks on the basis of the thinking levels of the concept of negative numbers. Fifth, we investigated and analysed the levels of students' understanding of the concept of negative numbers. Sixth, we analyzed the symbolizing process in the development of mathematical concept. Futhermore, we tried to show a concrete way to teach the formality of the negative numbers concepts on the basis of such theoretical analyses.

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