유전성 다발성 외골종 환자에서 상지 변형

정영우,박기헌,박형원,정성택,Chung, Young-Woo,Park, Gi-Heon,Park, Hyeong-Won,Jung, Sung-Taek 대한근골격종양학회 2011 대한골관절종양학회지 Vol.17 No.1

Purpose: This study was aimed to analyze the incidence and the anatomical distributions of HME (Hereditary Multiple Exostoses) on upper limbs and its related change in alignment of the upper limbs in HME patients. Materials and Methods: Thirty eight patients who had been diagnosed HME between 2001 and 2009, were categorized into two groups; (1) group A (1-2 involvements); (2) group B (${\geq}$3 involvements). We checked the carrying angle, VAS (Visual Analogue Scale), limitations in daily activities, cosmetic satisfaction according to the number of exostoses invasion. Results: Among the 38 patients, 23 patients (43 cases) had exostoses in the upper limbs. The locations of exostoses in the upper limbs were proximal humerus in 33 cases (30%), distal ulna in 31 cases (28.2%), and distal radius in 24 cases (21.8%). The carrying angle of group A and B was $10.7^{\circ}$, $13.8^{\circ}$, VAS was 1.3, 3.5, and the limitations in daily activities was 7.3, 6.6 of 8 points. The cosmetic satisfactory cases were 13 and 10 cases, respectively. Conclusion: The deformity in upper limbs was observed in 65% of the HME patients. As the number of invasion increases, carrying angle and VAS were increased but limitations in daily activities and cosmetic satisfaction were decreased.

각뿔의 부피 구하기에 대한 수학사적 고찰

정영우,김부윤,Chung, Young Woo,Kim, Boo Yoon 영남수학회 2017 East Asian mathematical journal Vol.33 No.2

The effort to find the volume of pyramids has been done by mathematicians for a long time, and many trial-and-error calculations and proofs give various perspectives and educational material. In the early days, finding the volume of pyramids was mainly studied by calculating the volume of triangular pyramids or quadrangular pyramids by cutting and the relationship between pyramids. Thereafter, methods based on infinite, infinitesimal, limit, etc. appeared, but the research topic was still about them. The purpose of this study is to examine the four themes appearing the mathematics history in terms of methodology, and to think about its implications from the viewpoint of improving the professionalism of the teachers.

연산자로서의 유리수 체계의 구성에 관한 연구

정영우,김부윤,Chung, Young-Woo,Kim, Boo-Yoon 영남수학회 2012 East Asian mathematical journal Vol.28 No.2

The ideals of the rings of integers are used to induce rational number system as operators(=group homomorphisms). We modify this inducing method to be effective in teaching rational numbers in secondary school. Indeed, this modification provides a nice model for explaining the equality property to define addition and multiplication of rational numbers. Also this will give some explicit ideas for students to understand the concept of 'field' efficiently comparing with the integer number system.

가법성에 대한 예비 초등교사의 반응 연구

정영우,김부윤,Chung, Young Woo,Kim, Boo Yoon 영남수학회 2013 East Asian mathematical journal Vol.29 No.2

Addition problems can be divided into the 'problem of quantity' which does not have the concept of object or unit, and the 'problem of number' which have the concept of object or unit. 'Additive property' is the factor which has to be considered in the former case. On the other hand, 'additive property' is not considered and meaningless in the latter case. However, this additive property is not emphasized in the elementary curriculum that mostly deals with quantitative problems, so related errors are occurred in actual life. In this study, we will investigate to the pre-service elementary teachers through the problems of deciding the additive property. The result shows that the pre-service elementary teachers' cognition of additive problems is insufficient. This study will provide focal points in the teacher education and the elementary education, and the clues for the operating programs through the information about the tendency of errors.

사다리꼴 넓이 공식의 변환에 관한 연구

정영우,Chung, Young Woo 영남수학회 2015 East Asian mathematical journal Vol.31 No.2

Formula for the area of a trapezoid is an educational material that can handle algebraic and geometric perspectives simultaneously. In this note, we will make up the expression equivalent algebraically to the formula for the area of a trapezoid, and deal with the conversion of a geometric point of view, in algebraic terms of translating and interpreting the expression geometrically. As a result, the geometric conversion model, the first algebraic model, the second algebraic model are obtained. Therefore, this problem is a good material to understand the advantages and disadvantages of the algebraic and geometric perspectives and to improve the mathematical insight through complementary activity. In addition, these activities can be used as material for enrichment and gifted education, because it helps cultivate a rich perspective on diverse and creative thinking and mathematical concepts.

대수적 관점에서 본 소수 지도 의의에 관한 연구

정영우 ( Young Woo Chung ),김부윤 ( Boo Yoon Kim ),김소영 ( So Young Kim ),황종철 ( Jong Chul Hwang ) 경북대학교 중등교육연구소 2011 중등교육연구 Vol.59 No.2

This study tries to justify learning prime numbers in view of algebra. To get information from a set A or provide A with algebraic structures, we first have to apply an onto function ``f: Z → A`` which represents the correspondence from a set of integers Z to set A. Then based on the set theory using the onto function, set A is represented as residues of Z. Finally to change the algebraic structures of Z, arithmetic shifts take place. After this process, set A comes to have a ring structure. To effectively handle the ring the ring need to be broken up into direct sums or direct products. In this process, we need prime numbers to break them up into the smallest unit. By checking these theoretical backgrounds, the researcher tries to present the necessity of teaching prime numbers, great common divisors, least common multiples, and Euclidean algorithm. Finally, based on the result, this study suggests that, in middle and high schools, the prime numbers should be taught through composing and decomposing on the numbers should be taught through composing and decomposing on the reversible point of view, that Euclidean algorithm need to be emphasized, that the lessons of great common divisors and least common multiples should be presented based on lattices, and that above all, the concept and existence of prime numbers must be taught first. This study is expected to provide theoretical foundation for the mathematics education.

연산자로서의 유리수를 활용한 영재교육프로그램 개발에 관한 연구

정영우 ( Young Woo Chung ),김부윤 ( Boo Yoon Kim ) 경북대학교 중등교육연구소 2012 중등교육연구 Vol.60 No.2

Definition and operations of rational numbers as operators have to be naturally induced. In this paper, we developed the gifted program based on rational numbers as operators and investigate the its effectiveness. The purpose of mathematical gifted education is to foster the creators rather than consumers in mathematics. Thereby, according to the principle of the performance of equivalent forms, the developed program provided students with creative activity constructing algebraic structures of rational numbers. Moreover, students will experience that operations in rational numbers should be induced in naturally as well as inevitably. Through these activities, students will recognize that the mathematical knowledges have been established as products of natural human thinking for certain purposes, and train an critical eye for the process of mathematical creation.

요추부 추궁간 경막외 신경 차단술 후 발생한 기뇌증

정영우(Young-Woo Chung),서형연(Hyoung-Yeon Seo),이동현(Dong-Hyun Lee),김성규(Sung-Kyu Kim) 대한정형외과학회 2017 대한정형외과학회지 Vol.52 No.6

수학적 연결성을 고려한 수 체계의 지도에 관한 연구

정영우 ( Young Woo Chung ),김부윤 ( Boo Yoon Kim ),표성수 ( Sung Soo Pyo ) 한국수학교육학회 2011 수학교육논문집 Vol.25 No.2

Across the secondary school, students deal with the algebraic conditions like as identity, inverse commutative law, associative law and distributive law. The algebraic structures, group, ring and field are determined by these algebraic conditions. But the conditioning of these algebraic structures are not mentioned at all, as well as the meaning of the algebraic structures. Thus, students is likely to be considered the algebraic conditions as productions from the number sets. In this study, we systematize didactically the meanings of algebraic conditions and algebraic structures, considering connections between the number systems and the solutions of the equation. Didactically systematizing is to construct the model for student`s natural mental activity I that is, to construct the stream of experience through which students are considered mathematical concepts as productions from necessities and high probability. For this purpose, we develop the program for the gifted, which its objective is to teach the meanings of the number system and to grasp the algebraic structure conceptually that is guaranteed to solve equations. And we verify the effectiveness of this developed program using didactical experiment. Moreover, the program can be used in ordinary students by replacement the term ``algebraic structure`` with the term such as identity, inverse, commutative law, associative law and distributive law, to teach their meaning.

근사개념 지도를 위한 관련 지식의 교수학적 고찰

정영우 ( Young Woo Chung ),이목화 ( Mok Hwa Lee ),김부윤 ( Boo Yoon Kim ) 한국수학교육학회 2012 수학교육논문집 Vol.26 No.1

``Approximation`` is one of central conceptions in calculus. A basic conception for explaining ``approximation`` is ``tangent``, and ``tangent`` is a ``line`` with special condition. In this study, we will study pedagogically these mathematical knowledge on the ground of a viewpoint on the teaching of secondary geometry, and in connection with these we will suggest the teaching program and the chief end for the probable teaching. For this, we will examine point, line, circle, straight line, tangent line, approximation, and drive meaningfully mathematical knowledge for algebraic operation through the process translating from the above into analytic geometry. And we will construct the stream line of mathematical knowledge for approximation from a view of modern mathematics. This study help mathematics teachers to promote the pedagogical content knowledge, and to provide the basis for development of teaching model guiding the mathematical knowledge. Moreover, this study help students to recognize that mathematics is a systematic discipline and school mathematics are activities constructed under a fixed purpose.