• Title/Summary/Keyword: Cognitive Thinking Process

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A Study on the Analysis and Correction of Error for the Gearwheel-involved Problem (톱니바퀴 관련 문제해결 과정에서 발생하는 오류 원인의 분석 및 지도방안)

  • Roh, Eun Hwan;Jeong, Sang Tae;Kim, Min Jeong
    • Communications of Mathematical Education
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    • v.28 no.1
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    • pp.1-17
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    • 2014
  • Recently a student's mathematical thinking and problem-solving skills are emphasized. Nevertheless, the students solved the problem associated with a given type of problem solving using mechanical algorithms. With this algorithm, It's hard to achieve the goal that are recently emphasized. Furthermore It may be formed error or misconception. However, consistent errors have positive aspects to identify of the current cognitive state of the learner and to provide information about the cause of the error. Thus, this study tried to analyze the error happening in the process of solving gearwheel-involved problem and to propose the correct teaching method. The result of student's error analysis, the student tends to solve the gear-wheel problem with proportional expression only. And the student did not check for the proportional expression whether they are right or wrong. This may be occurred by textbook and curriculum which suggests only best possible conditioned problems. This paper close with implications on the discussion and revision of the concepts presented in the curriculum and sequence related to the gearwheel-involved problem as well as methodological suggested of textbook.

A Study of Secondary Mathematics Materials at a Gifted Education Center in Science Attached to a University Using Network Text Analysis (네트워크 텍스트 분석을 활용한 대학부설 과학영재교육원의 중등수학 강의교재 분석)

  • Kim, Sungyeun;Lee, Seonyoung;Shin, Jongho;Choi, Won
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.465-489
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    • 2015
  • The purpose of this study is to suggest implications for the development and revision of future teaching materials for mathematically gifted students by using network text analysis of secondary mathematics materials. Subjects of the analysis were learning goals of 110 teaching materials in a gifted education center in science attached to a university from 2002 to 2014. In analysing the frequency of the texts that appeared in the learning goals, key words were selected. A co-occurrence matrix of the key words was established, and a basic information of network, centrality, centralization, component, and k-core were deducted. For the analysis, KrKwic, KrTitle, and NetMiner4.0 programs were used, respectively. The results of this study were as follows. First, there was a pivot of the network formed with core hubs including 'diversity', 'understanding' 'concept' 'method', 'application', 'connection' 'problem solving', 'basic', 'real life', and 'thinking ability' in the whole network from 2002 to 2014. In addition, knowledge aspects were well reflected in teaching materials based on the centralization analysis. Second, network text analysis based on the three periods of the Mater Plan for the promotion of gifted education was conducted. As a result, a network was built up with 'understanding', and there were strong ties among 'question', 'answer', and 'problem solving' regardless of the periods. On the contrary, the centrality analysis showed that 'communication', 'discovery', and 'proof' only appeared in the first, second, and third period of Master Plan, respectively. Therefore, the results of this study suggest that affective aspects and activities with high cognitive process should be accompanied, and learning goals' mannerism and ahistoricism be prevented in developing and revising teaching materials.

An Analysis of the Effects of Teaching Mathematics Underachievers by the Principles of Cognitively Guided Instruction (인지적으로 안내된 교수 원리를 적용한 수학학습부진아 지도 효과 분석)

  • Kim, Ji-Hye;Oh, Young-Youl
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.789-806
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    • 2010
  • As calls for more attention toward social minority group increases in our society recently, in the field of mathematics education more attention toward an issue about mathematics underachievers is being amplified. Thus, the present study is to examine the effects of teaching method considering students' cognitive characteristics on mathematical underachievers' problem solving and mathematical disposition. For this study, 10 fifth graders identified as mathematical underachievers based on the results of the national level diagnosis assessment and school based assessment were voluntarily selected from an elementary school in Seoul. The results of this study found out the fact that students participating in this program improved in terms of an ability both to solve problems in various ways and to explain an process of problem solving using spoken or written language and drawings. In addition, learning environment respecting students' own mathematical ideas seems to positively influence students' attitudes toward mathematics learning and mathematical dispositions. Furthermore, this study pointed out that mathematical underachievers tend to have difficulty in expressing their own mathematical thinking by reason of linguistic limitation. Finally, the findings of this study imply that for effective teaching of mathematics underachievers, these students' own informal experience and knowledge about mathematics as well as their characteristics regarding learning difficulties should be strongly considered.

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Archival Symposium for Rethinking Archives (기록학과 교육적 관점 기록향연, 몇 가지 단상)

  • Lee, Young-nam
    • The Korean Journal of Archival Studies
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    • no.57
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    • pp.165-234
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    • 2018
  • Archival symposium was a time when men thought thoroughly about what archives were, and to carefully record such thoughts. In the time of archival symposium, I observed the people archiving. To bring out a thought for a man was a physical action that moves his own desire, language, emotion and senses simultaneously. In philosophy thought is not merely a logical and cognitive act. Thought is a physical act that includes logical thinking, feeling, emotion, will, and on. When there is a emotional change in the body, an idea about that change forms. Emotional change acts as a force that increases, decreases, accelerate and hinder the body's abilities. However, there were no suggestions for philosophical concepts from the start. Love is not taught by someone. At some point without oneself knowing we start love and really experience with our bodies what love is, and in this repeat love and undergo all these emotions. Would not the overall story of life be as such. It is different from building a car in a factory. When the archival symposium starts, we asked you to think about what archives are, and to record with such thoughts as reference. Archival symposium is still a proper noun. With the wish for it to become a general term, I report on the process and meaning of archival experiment that is the archival symposium.