• Title/Summary/Keyword: Logical reasoning

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The Relationships among Students' Mapping Understanding, Mapping Errors and Cognitive/Affective Variables in Learning with Analogy (비유를 사용한 수업에서 학생들의 인지적.정의적 특성과 대응 이해 및 대응 오류 유형과의 관계)

  • Kim, Kyung-Sun;Hwang, Sun-Young;Noh, Tae-Hee
    • Journal of the Korean Chemical Society
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    • v.54 no.1
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    • pp.150-157
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    • 2010
  • In this study, we investigated the differences of mapping understanding and the types of mapping errors by the levels of students' cognitive/affective variables and the relationships between mapping understanding and these variables in learning 'concentration and reaction rate' with analogy. After administering the tests regarding logical thinking ability, visual imagery ability, analogical reasoning ability, self efficacy, and need for cognition as pretests, students learned with analogy. Then, students' familiarity and mapping understanding were examined. Analyses of the results revealed that the scores of the mapping understanding for the students with higher levels of all cognitive/affective variables except visual imagery ability and familiarity were significantly higher than those for the students with lower levels. The differences in the types of the mapping errors such as overmapping, failure to map, impossible mapping, artificial mapping, mismapping, rash mapping, and retention of a base feature were also found by the levels of students' cognitive and affective variables. The scores of students' mapping understanding were positively correlated with those of all cognitive and affective variables. The results of multiple regression analysis indicated that students' science achievement, logical thinking ability, and familiarity were significant predictors of mapping understanding. Educational implications of these findings are discussed.

The Persuit of Rationality and the Mathematics Education (합리성의 추구와 수학교육)

  • Kang Wan
    • The Mathematical Education
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    • v.24 no.2
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    • pp.105-116
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    • 1986
  • For any thought and knowledge, its growth and development has close relation with the society where it is developed and grow. As Feuerbach says, the birth of spirit needs an existence of two human beings, i. e. the social background, as well as the birth of body does. But, at the educational viewpoint, the spread and the growth of such a thought or knowledge that influence favorably the development of a society must be also considered. We would discuss the goal and the function of mathematics education in relation with the prosperity of a technological civilization. But, the goal and the function are not unrelated with the spiritual culture which is basis of the technological civilization. Most societies of today can be called open democratic societies or societies which are at least standing such. The concept of rationality in such societies is a methodological principle which completes the democratic society. At the same time, it is asserted as an educational value concept which explains comprehensively the standpoint and the attitude of one who is educated in such a society. Especially, we can considered the cultivation of a mathematical thinking or a logical thinking in the goal of mathematics education as a concept which is included in such an educational value concept. The use of the concept of rationality depends on various viewpoints and criterions. We can analyze the concept of rationality at two aspects, one is the aspect of human behavior and the other is that of human belief or knowledge. Generally speaking, the rationality in human behavior means a problem solving power or a reasoning power as an instrument, i. e. the human economical cast of mind. But, the conceptual condition like this cannot include value concept. On the other hand, the rationality in human knowledge is related with the problem of rationality in human belief. For any statement which represents a certain sort of knowledge, its universal validity cannot be assured. The statements of value judgment which represent the philosophical knowledge cannot but relate to the argument on the rationality in human belief, because their finality do not easily turn out to be true or false. The positive statements in science also relate to the argument on the rationality in human belief, because there are no necessary relations between the proposition which states the all-pervasive rule and the proposition which is induced from the results of observation. Especially, the logical statement in logic or mathematics resolves itself into a question of the rationality in human belief after all, because all the logical proposition have their logical propriety in a certain deductive system which must start from some axioms, and the selection and construction of an axiomatic system cannot but depend on the belief of a man himself. Thus, we can conclude that a question of the rationality in knowledge or belief is a question of the rationality both in the content of belief or knowledge and in the process where one holds his own belief. And the rationality of both the content and the process is namely an deal form of a human ability and attitude in one's rational behavior. Considering the advancement of mathematical knowledge, we can say that mathematics is a good example which reflects such a human rationality, i. e. the human ability and attitude. By this property of mathematics itself, mathematics is deeply rooted as a good. subject which as needed in moulding the ability and attitude of a rational person who contributes to the development of the open democratic society he belongs to. But, it is needed to analyze the practicing and pursuing the rationality especially in mathematics education. Mathematics teacher must aim the rationality of process where the mathematical belief is maintained. In fact, there is no problem in the rationality of content as long the mathematics teacher does not draw mathematical conclusions without bases. But, in the mathematical activities he presents in his class, mathematics teacher must be able to show hem together with what even his own belief on the efficiency and propriety of mathematical activites can be altered and advanced by a new thinking or new experiences.

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An analysis of characteristics of mathematically gifted high school students' thinking in design activities using GrafEq (GrafEq를 활용한 디자인 활동에서 나타나는 수학영재아의 사고특성분석)

  • Lee, Ji Won;Shin, Jaehong;Lee, Soo Jin
    • Journal of the Korean School Mathematics Society
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    • v.16 no.3
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    • pp.539-560
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    • 2013
  • The purpose of this study was to investigate characteristics of mathematically gifted high school students' thinking in design activities using GrafEq. Eight mathematically gifted high school students, who already learned graphs of functions and inequalities necessary for design activities, were selected to work in pairs in our experiment. Results indicate that logical thinking and mathematical abstraction, intuitive and structural insights, flexible thinking, divergent thinking and originality, generalization and inductive reasoning emerged in the design activities. Nonetheless, fine-grained analysis of their mathematical activities also implies that teachers for gifted students need to emphasize both geometric and algebraic aspects of mathematical subjects, especially, algebraic expressions, and the tasks for the students are to be rich enough to provide a variety of ways to simplify the expressions.

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A Study on Coding Education of Non-Computer Majors for IT Convergence Education (IT 융합교육을 위한 비전공자 코딩교육의 발전방안)

  • Pi, Su-Young
    • Journal of Digital Convergence
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    • v.14 no.10
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    • pp.1-8
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    • 2016
  • Coding education is an effective convergence type educational tool. While solving problems and designing programs, students can enhance problem solving ability, logical reasoning ability and creative thinking. Researches on coding education are done primarily for elementary school and middle school students. However, researches on college students are lacking. Today, educating college students about coding is in dire need. Although there are efforts to promote the importance of coding education and make it requirements. People find it difficult to find ways to provide training. There is a need for researches on coding as universal education. Therefore, this research proposed educational training using app inventor based on flipped running in order to effectively promote coding education. This study conducted the survey and the personal interview to measure the effectiveness of coding education. It is hoped that, through coding education, students who do not major in coding could combined their knowledge of their major with coding to improve their problem solving ability to solve various problems based on computing knowledge and approach.

Analyzing Elementary Science-Gifted Students' Knowledge Generation Processes in Scientific Inquiry Performance (과학 탐구 수행일지에 나타난 초등 과학영재의 지식생성과정 분석)

  • Yang, Il-Ho;Lim, Sung-Man;Paik, Myoung-Jong;Choi, Hyun-Dong
    • Journal of The Korean Association For Science Education
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    • v.31 no.5
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    • pp.770-787
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    • 2011
  • The purpose of this study was to analyze science-gifted students' knowledge-generation processes by analyzing students' inquiry journal. As a result, first, science-gifted students showed various knowledge-generation processes, but they were limited to inductive thinking and abductive thinking, and their thinking processes were very simple. Second, most of the knowledge-generation processes of science gifted were simple, repetitive and diagrammatic processes because of observation and empirical situation of a limited scope. And a simple and repetitive diagram was generated by a simple variable selection and design, observation in limited scope, unbiased intervention by subjective thinking, and absence of exploration or finding errors. And they showed often a logical leap of reasoning.

A Study on the Software Service Model Evaluation Methodology for Industry Convergence (산업융합을 위한 소프트웨어 기반 서비스모델 평가방법론에 관한 연구)

  • Kwon, Hyeog-In
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.3
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    • pp.1136-1144
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    • 2011
  • SW-based service model is considered strategic industry in the advancement of national economic development. Also SW-based service model has Public Interest and Profitability, it should be conducted assessment considering both sides of private and public reflection. To obtain the goal of this research, firstly, based on broadly reviewing previous literature and logical reasoning in business model evaluation and feasibility of public business. Secondly, derived SW-based service model's feature through a group of experts to analyze. And AHP(Analytic Hierarchy Process) is adopted in developing the influential factors (indexes) for the profitability of each SW-based service model and the weight score of each factor. In the result, We suggested 5 evaluation areas, and 15 evaluation items reflecting private business model, public business evaluation and SW-based service model feature. The findings of this study are thought to be useful as a practical guideline in performing evaluating the SW-based service model for private and public sector.

A Study on Including the ABEEK Activities in the Professor Evaluation System (공학교육인증활동을 교수업적평가에 반영하는 방안)

  • Park, Jin-Won;Baek, Hyun-Deok
    • Journal of Engineering Education Research
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    • v.12 no.4
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    • pp.93-101
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    • 2009
  • Many engineering professors are forced to execute ABEEK activities. Engineering professors are evaluated by their educational, research and service activities, but are mainly by their research papers published in professional journals. The gap between the duties and the evaluation criteria exists among engineering professors. This paper deals with the possible ways of including the ABEEK activities in the engineering professor evaluation system. Among the five ways suggested for a simple survey, tenured professors prefer to reduce the lecture time but junior professors prefer to reduce the research burden for the benefit from executing ABEEK activities. Based on logical reasoning and the preference among the surveyed professors, ABEEK related activities may be included in the educational part for the professor evaluation system before the ABEEK system is matured. However, ABEEK related activities have to be converted to the duties of engineering professors in the long run as in the US universities.

Development and Evaluation of a STEAM Curriculum Utilizing Arduino (아두이노를 활용한 STEAM 커리큘럼 설계, 적용 및 효과 분석)

  • Shim, KyuHeon;Lee, Sangwook;Suh, Taeweon
    • The Journal of Korean Association of Computer Education
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    • v.17 no.4
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    • pp.23-32
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    • 2014
  • The nature of complex modern society inevitably creates intricate problems that can be solved by the computational and logical reasoning. The programming education in Informatics can effectively raise the ability of computational thinking. The paper proposes and evaluates a STEAM curriculum that can draw the interest and attention of students. The curriculum educates the multi-disciplinary knowledge from science, music and informatics, and it was designed to have group discussions with self-directed study. The experiments were performed with $4^{th}{\sim}6^{th}$ grade gifted students in Informatics from elementary schools. The Arduino was used as the experiment environment. The experiment results reveal that the interests in Informatics and programming have been escalated after the STEAM class; 75% of students expressed the surge of interest in computers and 93% of students responded positively to the Arduino-based class. The effectiveness of the experiment outcomes was validated with t-test.

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To Analysis the Laws and Information Systems for Spatial Planning Support System (도시공간계획을 지원하는 정보시스템에 관한 법제도 실태연구)

  • Choi, Bong-Moon
    • The Journal of the Korea Contents Association
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    • v.11 no.1
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    • pp.396-403
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    • 2011
  • According to the development of information and the possibility of utilizing the most effective were high hopes that a plan is in the area have. Planning process of data collection and analysis and forecasts necessary, because even before the introduction of information, logical reasoning and objectivity of the plan to increase the variety of efforts have been made at an early age. This research try to offer a foundation for the future direction of research. Firstly, land use information systems and related legal issues and sought to review the status. Second, the information system of land use and spatial planning and diagnosing the problem was related to the status of the system. This desirable to propose the development of informatization. Finally, the purpose and the information derived legal system's ability to exert maximum legal system of the maintenance and development of information systems is to propose.

Development and Application of a Multimedia Title for Geometry Learning (기하 학습을 위한 멀티미디어 타이틀의 개발과 적용)

  • Jo, Seong-Chuon;Chung, Jong-in
    • The Journal of Korean Association of Computer Education
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    • v.4 no.1
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    • pp.99-107
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    • 2001
  • One of the main objects of geometry in mathematics education is to improve students' geometric intuition capability and logical reasoning capability based on them. A visual element related to intuition plays an important role in teaching and learning of geometry. Therefore, in this research, we focus on the development of multimedia title available to dynamic operation about visual elements and verify of effect of its application. This title for the learning of "the Pythagorean theorem and its practical use" in the third grade of middle school is designed and implemented by an authoring tool, Toolbook. And it enables learners to study mathematics individually and can be applied to the educational field, too. And we taught two groups, the applied group and the compared one of the second grade of middle school and surveyed Questions and evaluated study achievement. We calculated study achievement of two groups on t-test using SPSS. As the result, we knew that the applied group is higher than the compared one in the study achievement and provision of dynamic operation possibility on visual elements make students know very high learning effect and help improvement of intelligent capability.

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