수학수업에서 인성 함양을 위한 중학교 교수,학습 자료 개발 연구

신준국 ( Joon Kook Shin ),부덕훈 ( Deok Hoon Boo ),서보억 ( Bo Euk Suh ) 한국수학교육학회 2015 수학교육논문집 Vol.29 No.2

Educating for character was emphasized in 2009 reformed Korea national mathematics curriculum. Thus, in this study we basically conducted to realize the character education. This study aimed to develop the teaching and learning materials for character education in middle school. For the purpose of this study, the following study was carried out. First, we investigated the concept of character education. Second, based on this, we extracted the three factor(altruism, rationality, course orientation) for character education in mathematics teaching and learning. Third, we developed five teaching and learning models for character education. The five kinds of models are ‘Respect model’, ‘Self-directed model’, ‘Cooperation-centered model’, ‘Self-interest model, ’Story sympathy model’. Finally, We have developed a teaching and learning materials in accordance with the models. And, we applied to the classroom and confirmed its effectiveness.

수학 기초학력 미달자의 수준별 수업에서 효율적인 지도 방법

신준국 ( Joon Kook Shin ),유상인 ( Sang In Yun ),김양희 ( Yang Hee Kim ) 한국수학교육학회 2014 수학교육논문집 Vol.28 No.1

수준별 수업이 제대로 이루어지기 위해서 우선 성취도에 따라 다른 교재(교과서의 재구성)와 수업의 방법이 변화되어야 하나 현실은 같은 교재로 속도의 차이만을 가지고 수준별 수업이 이루어지고 있다. 특히 성취도가 낮은 중하위권 학생들을 위한 교재와 효율적인 지도방안에 대한 연구는 더욱 시급한 실정이다. 하지만 기존의 수준별 이동수업 내에서 효율적인 교재와 지도법이 개발된다면 그와 같은 수고를 덜고 교육과정 정상화에도 크게 기여할 수 있을 것이라 생각된다. 이에 본 연구에서는 고등학교 수학과 학습 부진학생의 학력을 향상시키기 위한 지도 방안을 모색하고, 수행평가 및 진단평가지, 교과서의 재구성을 통한 교재 개발, 수업일지 동의 자료를 개발하여, 이를 기초학력 부진 학생들의 수업에 직접 적용한다. 그것을 실험반과 비교반을 대상으로 동일한 평가를 실시한 결과, 실험반 학생들의 학업 성취도가 비교반에 비해 월등히 향상되는 의미 있는 결론을 도출할 수 있었다. Now, most of programs develop were presented as form of item pool by dividing problems by section and level for the level differentiated course, so the utilization is decreasing at the field caused by unconsidered school underachievement elements by achievement. Especially, the study on teaching materials and effective measures map for mid-low level students with low utilization is more urgent. Therefore, in this study we will promote teaching method for improving learning achievement at high school. The development teaching materials(the performance evaluation and diagnostic assessment, reconstruction of textbooks) will be applied to classes for the underachieving students directly, and the achievement in the experimental class was significantly improved compared to the comparative class and the meaningful conclusions could be drawn as results of conducting same assessment based on the experimental class and the comparative class.

스토리텔링 수학 교과서에서 공학적 도구의 활용과 미분적분학 단원에 관한 개발 사례

이상구 ( Sang Gu Lee ),신준국 ( Joon Kook Shin ),김경원 ( Kyung Won Kim ) 한국수학교육학회 2014 수학교육논문집 Vol.28 No.1

스토리텔링 기법을 수학 교과서에 적용할 때, 스토리를 전개하는 방법에 따라 늘어나는 학습시간을 효율적으로 조절하는 것은 중요한 문제이다. 특히 고교과정의 수학은 중학교 과정과 비교하여 소화하여야 할 수학적 지식의 양과 질이 차별화 되므로, 각 단원에 적절한 스토리텔링 기법을 개발할 필요가 있다. 본 연구에서는 고등학교 미분적분학 단원을 중심으로, 공학적 도구를 활용하여 수학 문제 풀이에 요구되는 계산 시간을 줄여 개념학습 시간을 충분하게 확보하는 스토리텔링 교과서 개발 사례를 제시한다. The present study seeks to provide an easy path to differential perceptions of students at the upper high school level by applying a story telling method and also, characteristically, to earn some time for class discussion by reducing learning time for simple calculational procedure through Computer Algebra System(CAS) tools. This study offers a clear example of storytelling textbooks through Sage. Hence, the study aims at enabling students who have practiced contents with Sage tools to deal with diverse and complicated calculation problems, if they learn to build up mathematical formulas for those problems.

중학교 수학 ① 스토리텔링 모델교과서 개발 및 적용 연구

이재학 ( Jae Hak Lee ),도종훈 ( Jong Hoon Do ),박윤범 ( Yun Beom Park ),박혜숙 ( Hye Sook Park ),신준국 ( Joon Kook Shin ),김정자 ( Jeong Ja Kim ),허선희 ( Sun Hee Heo ) 한국수학교육학회 2013 수학교육논문집 Vol.27 No.3

본 연구에서는 중학교 수학 ① 수업에 적용 가능한 스토리텔링 모델교과서의 예시 단원을 개발한다. 그리고 개발된스토리텔링 모델교과서를 활용한 실험 수업을 실시하고, 수업 지도 교사와의 면담 및 학생들에 대한 설문 조사를 통해 스토리텔링 모델교과서를 활용한 수업에서 드러나는 어려움 및 장점 등을 분석한다. 본 연구의 결과는 스토리텔링 적용 교수학습 모형이나 방안에 대한 연구가 부족한 현재 상황에서 향후 이와 관련된 보다 다양하고 심층적인 연구를 위한 기초 자료로서 그 의의가 있을 것으로 보인다. In this study we developed a textbook for middle school mathematics, especially focusing on the 1st grade, based on storytelling, did experimental lessons using the developed textbook, and surveyed the responses of students to the lesson by three kinds of questionnaire and teacher interview. The results of this study can serve as basic data for other researches about storytelling-related education in school mathematics.

Borel 정리(定理) 아래에서 함수의 존재성(存在性)

신준국 한국수학교육학회 1981 수학교육 Vol.20 No.1

이학계 및 공학계 대학의 미분방정식의 교육과정에 관한 연구

오희준,신준국 충남대학교 자연과학연구소 1984 忠南科學硏究誌 Vol.11 No.2

In this paper, The educational conditions relating to the subject of differential equations in the scientific world and the engineering world at the university were investigated and the problems concerning those conditions and suggestions for their improvement are presented as follows; 1) Differential equations (including the partial differential equations) are taught for two semesters during the sophomore year for the 6 units of credit or more. 2) The effectiveness of lectures increased with the assignment of exercises. 3) The lectures should be conducted by full-time lecturers of the Department of Mathematics for the best results, and exercise time should be assigned to teaching assistants. 4) By decreasing the lecture time of full-time lecturers they can lecture more effectively and research the subject more deeply. 5) Texts should be developed and written according to the framework of the contents of standard subjects. 6) In order to utilize the above facts,「a primary science research committee」under the Ministery of Education should be established to control the following areas in each branch of the sciences; the contents of standard subject, the development of texts, the formulation of educational policy. This will result in the qualitative improvement of the primary science education.

보리새우, Penaeus japonicus의 中腸에서의 Glycine Transport

朱鎭球,宋容圭,劉寬凞,朴來鉉,申埈國 충남대학교 자연과학연구소 1983 忠南科學硏究誌 Vol.10 No.2

Glycine transport through mucosal border of the columnar epithelium on the marin shrimp, P. japonicus midgut has been investigated with particular emphasis on the interaction to Na^+. The transmural fluxes of the amino acid across the midgut wall were also determined. 1. Mucosal glycine uptake occurred via Na^+-dependent and Na^+-independent carrier processes, and the passive movement of glycine. 2. Mucosal and serosal glycine uptakes in normal saline were higher than those in Na^+-free medium, but lower than those in Cl^--free medium. 3. L-alanine was acted like a competitive inhibitor of mucosal glycine entry process. 4. Exit process of glycine across the mucosal membrane was accelerated by the presence of L-alanine in the medium. 5. Prediction equation of saturable glycine uptake was derived from experimental data. 6. Turning point and regression coefficients of segmented linear regression for the high affinity and low affinity components of glycine carrier were determined by using computer. 7. Ultrastructural changes of mucosal epithelial cells related to the experimental treatments were observed through transmission and scanning electron microscope.

ON A STRONGLY BOUNDED VECTOR MEASURES

Shin, Joon Kook 충남대학교 자연과학연구소 1982 忠南科學硏究誌 Vol.9 No.2

σ대수에서 정의된 모든 countably additive 측도에 대하여 양의 유한 측도를 이용하여 벡터 측도에 관한 분해와 확장 정리가 쉽게 유도됨을 보였다. 특히 강 유계 측도가 countably additive가 되는 조건을 알아보았다. The theorems on spaces of set functions have been developed a more satisfactory theory of vector valued countably additive set functions (briefly, vector measure0. For example, we had the Lebesgue-type theory of integration of a scalar valued function with respect to a vector valued measure given in Bartle, Dunford and Schwartz [2]. A similar procedure has been employed by Bartle [1] to obtain a Lebesgue-type integration theory where both function and measure are vector valued. In this paper we shall suppose that Ω is a fixed set, that Σ is a σ-field of subsets of Ω. Lst X be a Banach space and X^* denote the dual space of X. Let ν be the total variation of a vector measure μ. Let ca (Ω,Σ,X) be the set of all bounded countably additive set function with domain Σ and range in X. Lemma 1. The following statement are equivalent. (ⅰ) A set K⊂ ca (Ω,Σ,X) is weakly sequentially compact. (ⅱ) It is bounded and the countable additivity of μ on Σ is uniform with respect to μ in K. (ⅲ) It is bounded and, for some positive λ in ca (Ω,Σ,X), lim_λ(E)→0 μ(E) = 0 is uniform with respect to μ in K. The proof can be found in [5, Ⅳ 9]. Theorem 2. A vector measure is bounded, and the set {x^*μ|x^*εX^*, |x^*|≤1} is weakly sequentially compact as a subset of ca (Ω,Σ,X).

A Study on the Borel Type Theorem

Shin, Joon-Kook 충남대학교 자연과학연구소 1986 忠南科學硏究誌 Vol.13 No.2

R^n 상에 수렴하는 수열이 주어질 때 Borel 정리의 확장에 관하여 연구하였고 C^1 함수가 존재하지 않는 예를 보였다.

On a Basically Scattered Vector Measure

Shin, Joon-Kook 충남대학교 자연과학연구소 1983 忠南科學硏究誌 Vol.10 No.2

Basically scattered 벡터 측도에 관한 다음과 같은 성질을 조사하였다. 1. F가 basically scattered 벡터 측도일 때 f_n이 Dunford and Schwartz 적분함수이고 ??∫f_ndF=0을 만족하면 ?? f_n=0이다. 2. Basically scattered 벡터 측도는 Orthogonally scattered 벡터 측도를 일반화 한 것이다. 3. Weakly compact 순서구간의 extreme point 집합은 basically scattered 벡터 측도의 치역이 된다.