• Title/Summary/Keyword: core concepts

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Mathematical Cognition as the Construction of Concepts in Kant's Critique of Pure Reason ("순수이성비판"에 나타난 수학적 인식의 특성: 개념의 구성)

  • Yim, Jae-Hoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.16 no.1
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    • pp.1-19
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    • 2012
  • Kant defines mathematical cognition as the cognition by reason from the construction of concepts. In this paper, I inquire the meaning and the characteristics of the construction of concepts based on Kant's theory on the sensibility and the understanding. To construct a concept is to exhibit or represent the object which corresponds to the concept in pure intuition apriori. The construction of a mathematical concept includes a dynamic synthesis of the pure imagination to produce a schema of a concept rather than its image. Kant's transcendental explanation on the sensibility and the understanding can be regarded as an epistemological theory that supports the necessity of arithmetic and geometry as common core in human education. And his views on mathematical cognition implies that we should pay more attention to how to have students get deeper understanding of a mathematical concept through the construction of it beyond mere abstraction from sensible experience and how to guide students to cultivate the habit of mind to refer to given figures or symbols as schemata of mathematical concepts rather than mere images of them.

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A Study on the Instructional Model utilizing Scratch for Introductory Programming Classes of SW-Major Students (SW전공자 프로그래밍 입문 수업의 스크래치 활용 수업 모형 연구)

  • KO, Kwangil
    • Convergence Security Journal
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    • v.18 no.2
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    • pp.59-67
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    • 2018
  • The programming language is a core education area of software that is becoming increasingly important in the age of the fourth industrial revolution, but it requires mathematical knowledge and logical thinking skills, so that many local private university and college students with low basic skills are having difficulties learning it. This problem occasionally causes SW-major students to lose interest and confidence in their majors during the introductory course of programming languages; making them change their majors, or give up their studies. In this study, we designed an instructional model using Scratch for educating C-language which is a typical programming introductory language. To do this, we analyzed the concepts that can be trained by Scratch among the programming concepts supported by C-language, and developed the examples of Scratch for exercising the concepts. In addition, we designed an instructional model, by which the programming concepts are first learned through Scratch and then C-language is taught, and conducted an experiment on the SW-major freshman students of a local private university to verify the effectiveness of the model. In the situation where SW education is becoming common, we expect that this study will help programming language education of security IT students.

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An Epistemological Inquiry on the Development of Statistical Concepts (통계적 개념 발달에 관한 인식론적 고찰)

  • Lee, Young-Ha;Nam, Joo-Hyun
    • The Mathematical Education
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    • v.44 no.3 s.110
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    • pp.457-475
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    • 2005
  • We have inquired on what the statistical classes of the secondary schools had been aiming to, say the epistermlogical objects. And we now appreciate that the main obstacle to the systematic articulation is the lack of anticipation on what the statistical concepts are. This study focuses on the ingredients of the statistical concepts. Those are to be the ground of the systematic articulation of statistic courses, especially of the one for the school kids. Thus we required that those ingredients must satisfy the followings. i) directly related to the contents of statistics ii) psychologically developing iii) mutually exclusive each other as much as possible iv) exhaustive enough to cover all statistical concepts We examined what and how statisticians had been doing and the various previous views on these. After all we suggest the following three concepts are the core of conceptual developments of statistic, say the concept of distributions, the summarizing ability and the concept of samples. By the concepts of distributions we mean the frequency views on each random categories and that is developing from the count through the probability along ages. Summarizing ability is another important resources to embed his probe with the data set. It is not only viewed as a number but also to be anticipated as one reflecting a random phenomena. Inductive generalization is one of the most hazardous thing. Statistical induction is a scientific way of challenging this and this starts from distinguishing the chance with the inevitable consequences. One's inductive logic grows up along with one's deductive arguments, nevertheless they are different. The concept of samples reflects' one's view on the sample data and the way of compounding one's logic with the data within one's hypothesis. With these three in mind we observed Korean Statistic Curriculum from K to 12. Distributional concepts are dealt with throughout but not sequenced well. The way of summarization has been introduced in the 1 st, 5th, 7th and the 10th grade as a numerical value only. One activity on the concept of sample is given at the 6th grade. And it jumps into the statistical reasoning at the selective courses of ' Mathematics I ' or of ' Probability and Statistics ' in the grades of 11-12. We want to suggest further studies on the developing stages of these three conceptual features so as to obtain a firm basis of successive statistical articulation.

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Contents and Sequences for Line Segments, Straight Lines, and Rays in Elementary Mathematics Curricula and Textbooks (선분, 직선, 반직선의 학습 내용과 학습 계열 분석)

  • Kim, Sangmee
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.635-652
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    • 2023
  • This study conducts a comprehensive analysis of the curricular progression of the concepts and learning sequences of 'lines', specifically, 'line segments', 'straight lines', and 'rays', at the elementary school level. By examining mathematics curricula and textbooks, spanning from 2nd to 7th and 2007, 2009, 2015, and up to 2022 revised version, the study investigates the timing and methods of introducing these essential geometric concepts. It also explores the sequential delivery of instruction and the key focal points of pedagogy. Through the analysis of shifts in the timing and definitions, it becomes evident that these concepts of lines have predominantly been integrated as integral components of two-dimensional plane figures. This includes their role in defining the sides of polygons and the angles formed by lines. This perspective underscores the importance of providing ample opportunities for students to explore these basic geometric entities. Furthermore, the definitions of line segments, straight lines, and rays, their interrelations with points, and the relationships established between different types of lines significantly influence the development of these core concepts. Lastly, the study emphasizes the significance of introducing fundamental mathematical concepts, such as the notion of straight lines as the shortest distance in line segments and the concept of lines extending infinitely (infiniteness) in straight lines and rays. These ideas serve as foundational elements of mathematical thinking, emphasizing the necessity for students to grasp concretely these concepts through visualization and experiences in their daily surroundings. This progression aligns with a shift towards the comprehension of Euclidean geometry. This research suggests a comprehensive reassessment of how line concepts are introduced and taught, with a particular focus on connecting real-life exploratory experiences to the foundational principles of geometry, thereby enhancing the quality of mathematics education.

Conceptual design of a high neutron flux research reactor core with low enriched uranium fuel and low plutonium production

  • Rahimi, Ghasem;Nematollahi, MohammadReza;Hadad, Kamal;Rabiee, Ataollah
    • Nuclear Engineering and Technology
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    • v.52 no.3
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    • pp.499-507
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    • 2020
  • Research reactors for radioisotope production, fuel and material testing and research activities are designed, constructed and operated based on the society's needs. In this study, neutronic and thermal hydraulic design of a high neutron flux research reactor core for radioisotope production is presented. Main parameters including core excess reactivity, reactivity variations, power and flux distribution during the cycle, axial and radial power peaking factors (PPF), Pu239 production and minimum DNBR are calculated by nuclear deterministic codes. Core calculations performed by deterministic codes are validated with Monte Carlo code. Comparison of the neutronic parameters obtained from deterministic and Monte Carlo codes indicates good agreement. Finally, subchannel analysis performed for the hot channel to evaluate the maximum fuel and clad temperatures. The results show that the average thermal neutron flux at the beginning of cycle (BOC) is 1.0811 × 1014 n/㎠-s and at the end of cycle (EOC) is 1.229 × 1014 n/㎠-s. Total Plutonium (Pu239) production at the EOC evaluated to be 0.9487 Kg with 83.64% grade when LEU (UO2 with 3.7% enrichment) used as fuel. This designed reactor which uses LEU fuel and has high neutron flux and low plutonium production could be used for peaceful nuclear activities based on nuclear non-proliferation treaty concepts.

A Study on the Children's Adaptation in the Foster Care : An Approach based on Grounded Theory (일반위탁가정 아동의 적응에 대한 연구: 근거이론적 접근)

  • Kim, Jin-Sook;Lee, Hyuk-Koo
    • Korean Journal of Social Welfare
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    • v.59 no.1
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    • pp.87-116
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    • 2007
  • The purpose of this study is to identify the adaptation experience of foster children. This qualitative research was conducted through in-depth interview of 8 foster children in and over 4th grade. In data analysis of this qualitative study, the grounded theory suggested by Strauss and Corbin(1998) was used. The raw data collected from in-depth interview with the participants were analyzed in open coding, through theoretically sensitive and constant comparisons method. As a result, total 11 categories, 30 subcategories and 96 concepts were generated. In summary, the casual condition that caused the core phenomenon was 'family stability collapse'. The core phenomenon that foster children experience during the process of adaptation was 'marginalization'. The contextual condition that affected the outcome was 'cultural shock' and 'loyalty conflict.' The intervening condition that promote or restrain the action/interaction on core phenomenon were, 'support system', 'resilience menifestation', 'negative predestination'. The action/interaction strategy on core phenomenon were 'will to power' and 'pursuing moral superiority'. As a result, two concepts, 'mechanical adaptation to foster care environment' and 'active formation' of foster care environment' were assumed.

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A Study on the Knowledge of Elementary School Textbooks Related to Strata from the Perspective of Core Competency-Based Education and the Concept of Preservice Elementary Teachers (핵심역량중심교육 관점에서 지층관련 초등과학교과서의 지식과 예비초등 교사들의 개념 연구)

  • Moon, Byoung-Chan
    • Journal of the Korean Society of Earth Science Education
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    • v.14 no.1
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    • pp.48-58
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    • 2021
  • The purpose of this study is to analyze the contents related to the strata in the elementary science textbooks and to investigate the strata concepts of preservice elementary teachers. As a result of the study, most of the strata knowledge in elementary textbook has an explicit sentence structure, such as A is B. it is limited to being used as a subject of discussion and debate among students in science classes. Formal knowledge, although its meaning is clear, is disadvantageous as a material for core competency education. Regarding strata concepts, 70% of preservice elementary teachers thoughts that heat and pressure were the only key factors in turning sediments into hard rocks. Regarding whether information about the natural information in the geological period can be obtained through the strata, 20% thought that information on the natural environment could be obtained only through fossils and not from the strata. Even 80% of preservice elementary school teachers who thought that informations on the past natural environment could be obtained from the stratum showed a lot of scientific misconceptions in the information contents. In conclusion, in order to increase the effect of core competency education through elementary science education, it is necessary to review the form and contents of strata knowledge presented in elementary science textbooks.

The Experience of Life in with Diabetics (당뇨병 환자의 생활 경험)

  • Lee, Jeong-Seop;No, Seung-Ok;Sin, Deok-Sin;Kim, Mi-Hye;Jeong, Yeong-Mi
    • Journal of Korean Academy of Nursing
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    • v.30 no.5
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    • pp.1219-1229
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    • 2000
  • The purpose of this study was to describe and understand how diabetics dealt with the result of the various changes of lifestyle. The grounded theory approach of qualitative research methods was used for building a substantive theory about that. The subjects of this study were 10 clients who experienced diabetes from 4 to 30 years. The data was collected from August 1999 to November 1999 through in-depth interviews utilizing home visitation and telephone interview technique then it was and analyzed simultaneously by a constant comparative method in which the new data was continuously coded into categories and properties according to Strauss & Corbin,s methodology. One hundred six concepts were found and they were grouped into 35 categories and then into 14 categories. The results were as follows difficulty, unable to overcome the changes, disposition, disease process, tiredness, supportive environment, perception, handling, concent- ration, mastering, endurance, avoidance, giving up and tailoring. The core phenomenon was 'tiredness' and these categories were synthesized into one core concept, the process of tailoring. The process of tailoring in diabetics consisted of : 1) going through difficulty of disease management 2) experiencing tiredness from the difficulty of disease management 3) perception of disease from tiredness 4) undergoing various self-management 5) controlling the process of tailoring by one's own method. Six hypotheses were derived from the relation of these concepts and four types were from intensity of tiredness, direction of disposition, type of disease process and the level of supportive environment and perception. This study offers better understanding on diabetic experiences and may facilitate more appropriate interventive strategies to provide support, information and knowledge. The nurses should utilize the results to help diabetics enjoy their lives without any trouble and must continuously develop nursing knowledges and skills.

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A Conceptual Contour of Character and Capacity in Virtue Epistemology: Focusing on sagacity and honesty in the Analects (덕인식론에서 역량과 성품의 개념적 이해: 『논어(論語)』에서 '총명(聰明)'과 '정직함'을 중심으로)

  • LEE, Chan
    • Journal of Korean Philosophical Society
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    • no.123
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    • pp.239-264
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    • 2018
  • In order to understand the whole picture of virtue epistemology with knowledge-action theory, I will first examine contours between concepts like capacity, character and intellectual virtues in relation to the notion of virtue. At first, my $na{\ddot{i}}ve$ question is why smart people do such bad things without any shame. This question would be either ethical or epistemological because epistemology is viewed as a normative discipline and intellectual agents and communities should be considered as the primary focus of epistemic evaluation. This is the core idea of virtue epistemology. The stance virtue epistemology views virtues as a solution to the justification of knowledge is similar to the knowledge-action theory in the East Asian intellectual tradition. But, their core issues are different from each other. Thus, I will explain how to differ from one another and analyze such concepts as capacity, character, and intellectual virtues in the Analects. I will insist that capacity and character without normative disciplines cannot be intellectual virtues leading to right actions.

An Analysis of the Authentic Inquiry Components in Science Inquiry Experiments Textbooks Developed Under the 2015 Revised National Curriculum (2015 개정 교육과정에 따른 과학탐구실험 교과서에 나타난 참탐구 요소 분석)

  • Lee, Jaewon;Lee, Kyuyul;An, Jihyun
    • Journal of the Korean Chemical Society
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    • v.63 no.3
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    • pp.183-195
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    • 2019
  • In this study, we investigated the characteristics of the authentic inquiry components in the inquiry tasks of Science Inquiry Experiments textbooks developed under the 2015 Revised National Curriculum. After classifying inquiry tasks by core concepts, we analyzed the cases that students autonomously planned or performed the authentic inquiry components. The results of the study revealed that investigating multiple materials component most frequently appeared in all units. However, generating research question, selecting variables, observing multiple variables and transforming observations components appeared in a few tasks of history and everyday science units as they were often guided or structured in textbooks. Controlling simple or complex variables, observing intervening variables and considering methodological flaws components rarely appeared in all units as most of textbooks did not consider or indicate explicitly. Authentic inquiry components of everyday science unit tended to be handled in small group activities. On the bases of the results, the implications for the development of the inquiry tasks of Science Inquiry Experiments textbooks are discussed.