• Journal of Information Technology Applications and Management
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• 제23권3호
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• pp.1-12
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• 2016

Visual representations for concepts in business management are quite challenging, especially those abstract concepts in Accountancy discipline. For example, there might not be a consensus on what to use to represent such abstraction as an asset, liability, or owner equity. This is because asset can be property, estate, resources, equipment, or any tangible or non-tangible valuables. Cognitive science concepts and behavior engagement have been used to develop visual representations for financial data. The concepts include spatial processing, big picture thinking, and metaphor. Review of past studies together with a brief research plan to test the usability for learning of four new augmented reality 0visuals are provided in the present paper.

• 대한수학교육학회지:수학교육학연구
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• 제12권1호
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• pp.71-79
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• 2002

Visualization have strong driving force that enables us to recognize abstract mathematics by direct and specific method in school mathematics. Specially, visual thinking helps in effective problem solution via intuition in mathematics education. So, this paper examines the meaning of visualization, the role of visualization in intuitive problem solving process and the methods for enhancement of intuition using visualization in mathematics education. Visualization is an useful tool for illuminating of intuition in mathematics problem solving. It means that visualization makes us understand easily mathematical concepts, principles and rules in students' cognitive structure. And it makes us experience revelation of anticipatory intuition which finds clues and strategy in problem solving. But, we must know that visualization can have side effect in mathematics learning. So, we have to search for the methods of teaching and learning which can increase students' comprehension about mathematics through visualization and minimize side aspect through visualization.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2016년도 추계학술발표대회
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• pp.316-318
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• 2016

최근 국내외에서 소프트웨어 교육의 중요성이 강조되고 있다. 2015년 개정 교육과정에서도 초 중등생들의 컴퓨팅사고력 계발에 관심이 집중되면서 초 중등학생들을 대상으로 코딩교육이 진행되고 있다. 컴퓨팅사고력 증진을 위해 그 핵심요소인 추상화와 자동화 능력을 신장시킬 여러 방법들이 연구되고 있다. 본 연구에서는 추상화 능력에 대해 교육심리 측면에서 학생들의 프로그래밍 능력 특성을 파악한 후, 컴퓨팅 사고력 계발에 도움을 주고자 한다. 이를 위해 일반계 고등학생들을 대상으로 파이썬 프로그래밍 교육을 보다 용이하게 진행하기 위하여 러플(RUR-PLE) 프로그래밍을 한 학기동안 학습한 후, 학생들의 추상적 사고수준이 프로그램을 이해하는데 어떻게 영향을 미치며 성별 간에 어떤 차이를 가지는지를 분석한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제40권2호
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• pp.335-343
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• 2001

Algebra is important part of mathematics education. Recent days, many mathematics educators emphasize on real world situation. Form real situation, pupils make sense of concepts, and mathematize it by reflective thinking. After that they formalize the concepts in abstract. For example, operation in numbers develops these course. Operation in natural number is an arithmetic, but operation on real number is algebra. Transition from arithmetic to algebra has the cutting point in representing the concepts to mathematics sign system. In this note, we see the cognitive tendency of 10th grade about operation of real number, their cutting point of transition from arithmetic to algebra, and show some methods of helping pupils.

• 한국수학교육학회지시리즈A:수학교육
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• 제4권1호
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• pp.16-28
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• 1966

According to the modernization of mathematics education, new abstract concepts such as the concept of sets are introduced in many fields of it. The purpose of this thesis is to adopt the concept of sets to 'probability' which is included in the curriculum of high school matematics education. The considerations of the preceding chapter III, and their obvious generalizations to more complicated experiments, justify the conclusion that probability theory consists of the study of sets. An event is a set, its opposite event is the complementary set; mutually exclusive events are disjoint sets, and an event consisting of the simultaneous occurrence of two other events is a sets obtained by intersecting two other sets it is clear how this glossary, translating physical terminology into set theoretic terminology, may be continued. Furthermore, the important theorems of probability; Additional theorem, multiplication theorem, their applications and so on, are proved by the technical operations of sets. Thinking of the mathematics education introduced by the concept of sets is very important in future.

• Educational Technology International
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• 제7권1호
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• pp.21-37
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• 2006

This paper focuses on finding out visualization process by means of VTA(Visual Task Analysis) of expert teachers' simple task. Findings indicate teachers have coding schema of performing visual task as such; (a) the analyzing by reading and some activities in the task text, (b) conceptualizing or understanding in his/her own way, (c) the explaining of the action or product, (d) the searching by thinking or finding, (e) the decision of visualizing of the task. Expert teachers tried to visualize in the form of abstract graph, and to omit the object which was not directly related to the topic at the pilot study. VAT based on ground theory and protocol analysis was developed and performed. This case study suggests that an additional study for searching a guide and method might be beneficial for conducting a visual task analysis.

• 대한수학교육학회지:수학교육학연구
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• 제11권1호
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• pp.157-177
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• 2001

Modern society's technological and economical changes require high-level education that involve critical thinking, problem solving, and communication with others. Thus, today's perspective of mathematics and mathematics learning recognizes a potential symbolic relationship between concrete and abstract mathematics. If the problems engage students' interests and aspiration, mathematical problems can serve as a source of their motivation. In addition, if the problems stimulate students'thinking, mathematical problems can also serve as a source of meaning and understanding. From these perspectives, the purpose of my study is to prove that mathematical modeling tasks can provide opportunities for students to attach meanings to mathematical calculations and procedures, and to manipulate symbols so that they may draw out the meanings out of the conclusion to which the symbolic manipulations lead. The review of related literature regarding mathematical modeling and model are performed as a theoretical study. I especially concentrated on the study results of Freudenthal, Fischbein, Lesh, Disessea, Blum, and Niss's model systems. We also investigate the emphasis of mathematising, the classified method of mathematical modeling, and the cognitive nature of mathematical model. And We investigate the purposes of model construction and the instructive meaning of mathematical modeling. In conclusion, we have presented the methods that promote students' effective model construction ability. First, the teaching and the learning begins with problems that reflect reality. Second, if students face problems that have too much or not enough information, they will construct useful models in the process of justifying important conjecture by attempting diverse models. Lastly, the teachers must understand the modeling cycle of the students and evaluate the effectiveness of the models that the students have constructed from their classroom observations, case study, and interaction between the learner and the teacher.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제32권3호
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• pp.297-314
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• 2018

본 연구는 교사지식 중에서 예비교사의 학생에 대한 지식을 Shulman-Fischbein 개념틀을 이용하여 해석함으로써 우리의 교사교육의 현실에 시사점을 제공하고자 하였다. Shulman-Fischbein 개념틀은 수학의 알고리즘적 SMK, 수학의 형식적 SMK, 수학의 직관적 SMK, 수학의 알고리즘적 PCK, 수학의 형식적 PCK, 그리고 수학의 직관적 PCK의 여섯 가지 요소로 구성되어 있다. 이를 위해 일련의 평면도형 영역의 문제를 다루고 학생의 오개념을 포함한 지필과제를 5명의 예비교사에게 제시하고 그들이 제출한 답변을 분석하였다. 분석 결과 예비교사들은 상당히 강한 SMK를 지니고 있음을 보여주었고, 수학의 형식적 측면을 강조하는 경향을 보였다. 또한 학생들의 오개념 분석 시 학생들의 수준을 깊게 고려하지 않았고, 오개념을 고치기 위한 교수학적 방법을 제안할 때에 구체적이지 못하고 피상적인 답변만을 제시하는 특징을 보여주었다.

• 정보교육학회논문지
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• 제11권4호
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• pp.461-470
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• 2007

프로그래밍 학습은 지식기반사회에서 요구하는 문제 해결력과 논리적 사고력을 향상시킬 수 있다. 그러나 기존의 프로그래밍 교육은 대부분 외국어 기반의 프로그래밍 언어를 사용하여 문제 해결력과 논리적 사고력의 향상 보다는 명령어의 습득과 코딩과정에 많은 시간을 소요하고 학습자들은 흥미를 잃기 쉬웠다. 이러한 문제를 해소하고자 본 연구에서는 매우 추상적인 프로그래밍 작업을 로봇이라는 구체물을 통하여 결과를 확인할 수 있도록 하여 프로그래밍 학습의 흥미를 진작할 수 있는 방안을 제안 하였다. 또한 초등학생들이 쉽게 사용할 수 있는 RCX 기반 로봇 프로그래밍 언어의 한글 컨버터를 설계 개발하였다. 그리고 개발된 도구를 방과후학교 컴퓨터반 학생들을 대상으로 6개월간 적용한 결과 학습자들은 긍정적인 반응을 보였다.

• 공학교육연구
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• 제18권3호
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• pp.24-32
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• 2015

The purpose of this research is to consider theoretical points of view on a preceding research related to an engineering design and abstract the definition of engineering design ability, its subdivision and element on the basis of experts' recognition. To achieve this goal, various literature researches were carried out by examining domestic and foreign articles in journals, lots of dissertations, and books related to engineering design through theoretical consideration. And to secure the validity on the definition of engineering design ability, its subdivision and element through the theoretical study, a feasibility evaluation method by the experts was applied. And the feasibility evaluation of the experts was conducted through 2 stages. The major conclusions of this study are as follows. Firstly, based on the experts' recognition on the definition of engineering design ability, its subdivision and element, which were revised through the 1st feasibility evaluation and then utilized in the 2st one, the validity was confirmed, and the subdivisions of the engineering design ability were divided into 5 and the elements of the subdivision ability were 33. Secondly, the engineering design ability was defined as "the one to design a realizable product with consumers' demand fully satisfying, based on a knowledge application ability, thinking ability, communication ability, problem-solving ability, and teamwork ability to solve engineering problems." Thirdly, the subdivisions of the engineering design ability were divided as a knowledge application ability, thinking ability, communication ability, problem-solving ability, and teamwork ability.