• Title/Summary/Keyword: Relational Thinking

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Elementary Students' Formation of Relational Thinking about Equation - Centered for Web-Based Balance (시선 추적기를 통해 본, 4학년 학생들의 방정식에 대한 관계적 사고 형성 -웹기반 저울을 중심으로)

  • Lee, Mijin;Lee, Kwangho
    • School Mathematics
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    • v.17 no.3
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    • pp.391-405
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    • 2015
  • This study was aimed to investigate how students' relational thinking about equations could be formed by exploring web-based balance. The researchers developed 3 groups of 4 typed 12 equation problems of (a+b+c = d+ _ ) to test 24 4th graders. Pretest and post-test were conducted using Eye-tracker for investigating their eye movements. The researchers interviewed students who were not having distinct strategies to look into their cognitive process. As a result, we can conclude web-based balance helped students to get the concept of the equal sign and to form the relational thinking by the process of comparing both sides, right and left on the basis of fulcrum on balance.

Development of an Entity-Relationship Modeling System for Designing Relational Database (관계형 데이터베이스 설계를 위한 개체 - 관계 모델링 시스템 개발)

  • Yoo, Jae-Gun
    • IE interfaces
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    • v.16 no.spc
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    • pp.45-48
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    • 2003
  • Entity-relationship modeling for designing relational database is a very complicated thinking process that requires extensive knowledge and experiences. It is very likely that designers make mistakes in this process. In order to minimize the mistakes, a systematic method to guide the thinking process is needed. In this research, an entity-relationship modeling system is developed, which resolves the whole process of information modeling, data modeling, and functional dependency relationship analysis into small and simple decision-making steps. Therefore, it can reduce the possibility of making decision errors and improve the efficiency of the modeling process. It's functionality and efficiency is verified through some modeling examples. It is expected that the modeling system can be commercialized, if some functions are added, such as detection, warning, and correction of decision errors, and educational help.

The Meaning of Geographical Education of Commodity through Relational Thinking (관계적 사고를 통한 상품의 지리 교육적 의미)

  • Kim, Byung-Yeon
    • Journal of the Korean Geographical Society
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    • v.46 no.4
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    • pp.554-566
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    • 2011
  • Consumer capitalism is transforming real geographical knowledge into imaginary one through commodity fetishism. As a result, students' ability to think themselves and commodity relationally become weak. Thus, the students cannot recognize the positional meanings of themselves in the global networks of food and ethically perceive environmental issues that generate due to the interrelation between the students and the commodity networks. In these problematic consciousness and situations, this research examine relation of commodity consumption and ethics through hamburger connection and insists that geographical education helps the students acquire insight into the relationship between food and themselves through relational thinking.

How Do Elementary School Students Understand '='? - Performance on Various Item Types - (초등학생들은 '='를 어떻게 이해하는가? - 문항유형별 실태조사 -)

  • Kim, Jeongwon;Choi, Jiyoung;Pang, JeongSuk
    • Journal of Educational Research in Mathematics
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    • v.26 no.1
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    • pp.79-101
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    • 2016
  • Understanding the equal sign is of great significance to the development of algebraic thinking. Given this importance, this study investigated in what ways a total of 695 students from second to sixth graders understand the equal sign. The results showed that students were successful in solving standard problems whereas they were poor at items demanding high relational thinking. It was noticeable that some of the students were based on computational thinking rather than relational understanding of the equal sign. The students had a difficulty both in understanding the structure of equations and in solving equations in non-standard problem contexts. They also had incomplete understanding of the equal sign. This paper is expected to explore the understanding of the equal sign by elementary school students in multiple problem contexts and to provide implications of how to promote students' understanding of the equal sign.

An analysis of the connections of mathematical thinking for multiplicative structures by second, fourth, and sixth graders (곱셈적 구조에 대한 2, 4, 6학년 학생들의 수학적 사고의 연결성 분석)

  • Kim, YuKyung;Pang, JeongSuk
    • The Mathematical Education
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    • v.53 no.1
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    • pp.57-73
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    • 2014
  • This study investigated the connections of mathematical thinking of students at the second, fourth, and sixth grades with regard to multiplication, fraction, and proportion, all of which have multiplicative structures. A paper-and-pencil test and subsequent interviews were conducted. The results showed that mathematical thinking including vertical thinking and relational thinking was commonly involved in multiplication, fraction, and proportion. On one hand, the insufficient understanding of preceding concepts had negative impact on learning subsequent concepts. On the other hand, learning the succeeding concepts helped students solve the problems related to the preceding concepts. By analyzing the connections between the preceding concepts and the succeeding concepts, this study provides instructional implications of teaching multiplication, fraction, and proportion.

An Analysis of Elementary Students' Understanding of the Equal Sign by Using Rasch Model (Rasch 모델을 통한 초등학교 학생들의 등호 이해 분석)

  • Kim, JeongWon;Pang, JeongSuk;Choi, JiYoung
    • The Mathematical Education
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    • v.55 no.1
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    • pp.1-19
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    • 2016
  • Given the importance of understanding the equal sign in developing early algebraic thinking, this paper investigated how a total of 695 students in grades 2~6 understood the equal sign. The students completed a questionnaire with three types of items (equation structure, equal sign definition, and open equation solving) based on the construct map by four different levels of understanding the equal sign. The questionnaire was analyzed by Rasch model. The results showed that about 80% of the students were at least Level 3 which means a basic relational understanding of the equal sign. However, the success rates varied across grades and it was noticeable that about 70% of the second graders remained at Level 1 or 2 which maintains an operational understanding of the equal sign. The results of item types demonstrated that item difficulty for the advanced relational thinking was the highest and this is the same even for the Level 4 students. This paper is expected to investigate elementary school students' understanding of the equal sign and provide implications of how to deal with the equal sign in the elementary school.

A study on the characteristics of color by change in architectural thinking system (건축 사유체계 변화에 의한 색채사용 특성에 관한 연구)

  • Lee, Seon-Min
    • Korean Institute of Interior Design Journal
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    • v.15 no.2 s.55
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    • pp.166-173
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    • 2006
  • Architectural color has been preserved the multiple characteristics reflected the change of social value criteria and technical development. Especially, the change of technical paradigm has led to variation from simple and fixed color system, as through the considerable change of architect's subject thinking, favored and symbolic system. Now, architectural color has also been revealed as the timely, moving, behavioral and existent color by anthropolatric thinking system. Therefore, it could be transformed expressive system reflected from abstract-pictorial characteristics, from the fixed to non-determining system, constructive to non-constructive system, context to expressive system, reasonal to emotional system, respectively. So, the range of architectural color has been extended as a element in reinforced the planned concept of the architect beyond the past decorated and symbolic color scope. As thereinafter, future's architectural color could be expected to concrete to the public-friendly relation system, developed widely to the system for reinforcing the concept not introduction of meaningless, fragmental and instinct color through the relational adaptation with design concept.

Research on the influence of Chinese Thinking mode on design thinking (중국적 사유방식이 디자인 사고에 미치는 영향 상관 연구)

  • Li, Xin;Lee, Dong-hun
    • Journal of Communication Design
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    • v.66
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    • pp.284-296
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    • 2019
  • Thinking mode, as the condensation of the internal spirit of a nation, has been inherited till now through abundant historical precipitation, and is also a thinking tool for people to think and solve problems. Different from traditional styles and materials, the way of thinking not only has a more essential impact on design, but also makes traditional culture more vital in design. Taking the influence of Chinese mode of thinking on design thinking as the main research object, in the first place, this paper sorts out the concepts and development of thinking mode and design thinking, and summarizes three characteristics of Chinese mode of thinking: relational, collective and perceptive. Furthermore, it puts forward the influence of thinking mode on design thinking, mainly focusing on the definition of design problems, sub-problem sequencing and solution construction. Last but not least, through a series of Chinese design cases, this paper concretely analyzes how Chinese thinking mode provides national design language for Chinese design.

Some Remarks on the Sameness and the Meaning of the Equal Sign in Elementary School Mathematics Textbooks (초등학교 수학에서 같음과 등호의 의미에 대한 고찰)

  • Paek, Dae Hyun
    • Education of Primary School Mathematics
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    • v.23 no.1
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    • pp.45-61
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    • 2020
  • The concept of equality is given as a way of reading the equal sign without dealing it explicitly in elementary school mathematics. The meaning of the equal sign can be largely categorized as operational and relational views. However, most elementary school students understand the equal sign as an operational symbol for just writing the required answers. It is essential for them to understand a relational concept of the equal sign because algebraic thinking in middle school mathematics is based on students' understanding of a relational view of the equal sign. Recently, the relational meaning of the equal sign is emphasized in arithmetic. Hence it is necessary for elementary school students to have some activities so that they experience a relational meaning of the equal sign. In this study, we investigate the meaning of the equal sign and contexts of the equal sign in elementary school mathematics to discuss explicit ways to emphasize the concept of equality and relational views of the equal sign.

Relational indexing: theory and practice (연관색인법(聯關索引法)의 이론(理論)과 실제(實際))

  • Kim, Tae Soo
    • Journal of the Korean Society for information Management
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    • v.1 no.1
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    • pp.25-42
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    • 1984
  • The intellectual organization of information for storage and retrieval is one of the problem areas of information science. But the most of the methods have been developed are based on the coordination of keywords by Boolean logic or traditional classification systems. It is necessary to include in indexing process not just concepts or keywords, but also to express explicitly the relationship between them. Farradane believed that such a system should be founded on the psychology of thinking and developed an outline structure for concept organization and a series of explicit relations. The system of relational operators provides nine symbols which enable the semantic relationship between any two concepts to be explicitly specified in a analet. With the addition of the permutations of such analets, formed according to simple rules, alphabetical arrangement of the first term provides a complete logical subject index. Relational indexing as the basis of an indexing language has the potential to offer improved retrieval performance.

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