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Dienes의 수학학습이론에 따른 사다리꼴의 넓이 학습에서 학생들이 구성한 예 공간 분석
오민영 ( Oh¸ Min Young ),김남균 ( Kim¸ Nam Gyun ) 한국수학교육학회 2021 初等 數學敎育 Vol.24 No.4
The area of a trapezoid is an important concept to develop mathematical thinking and competency, but many students tend to understand the formula for the area of a trapezoid instrumentally. A clue to solving these problems could be found in Dienes’ theory of learning mathematics and Watson and Mason’ concept of example spaces. The purpose of this study is to obtain implications for the teaching and learning of the area of the trapezoid. This study analyzed the example spaces constructed by students in learning the area of a trapezoid based on Dienes’ theory of learning mathematics. As a result of the analysis, the example spaces for each stage of math learning constructed by the students were a trapezoidal variation example spaces in the play stage, a common representation example spaces in the comparison-representation stage, and a trapezoidal area formula example spaces in the symbolization-formalization stage. The type, generation, extent, and relevance of examples constituting example spaces were analyzed, and the structure of the example spaces was presented as a map. This study also analyzed general examples, special examples, conventional examples of example spaces, and discussed how to utilize examples and example spaces in teaching and learning the area of a trapezoid. Through this study, it was found that it is appropriate to apply Dienes’ theory of learning mathematics to learning the are of a trapezoid, and this study can be a model for learning the area of the trapezoid.
이천용,이원규,박승걸,김갑성,오민영 ( Chun Yong Lee,Won Kyu Lee,Seung Kul Park,Kap Sung Kim,Min Young Oh ) 한국산림과학회 1987 한국산림과학회지 Vol.76 No.3
This study was carried out to examine the proper site fur Pinus rigida × P. taeda. The 91 sample plots (20×10m) were selected from the plantations located in middle part of Korea. Soil, environmental and climatic factors were investigated and regressed on the growth of Pinus rigida × taeda. ① The factory which influenced strongly on tire growth were temperature, elevation, soil moisture, physiographic position, slope, soil depth, wind protection, soil compactness and soil organic matter contents in order. ② The most effective factors among them mere temperature, elevation, soil moisture and physiographic position. ③General conditions of proper site for planting the hybrid pine were above-8℃ in mean minimum temperature in January, below 200m in elevation, moderate soil moisture, and valley or flat area in physiogtaphic position.
송우석(Woo-Suk Song),오민영(Min-Young Oh),이영상(Young-Sang Lee) 대한정형외과학회 2023 대한정형외과학회지 Vol.58 No.6
거골의 골연골 병변은 족관절의 관절연골 및 연골하골에 발생하는 병변으로 소아 및 청소년기에 호발하며 스포츠 손상과 관련이 높은 것으로 알려져있다. 내측 및 외측 병변의 역학적 특성이 다른것으로 알려져 있으며 저자들은 내측과 외측에 동시에 발생한 골연골 병변을 경험하였기에 문헌고찰과 함께 이를 보고하고자 한다. An osteochondral lesion of the talus is a disease that occurs at the articular cartilage and subchondral bone of the ankle joint. Osteochondral lesions are common in children and adolescents. The osteochondral lesion is closely associated with sports injury. The epidemiological characteristics of medial and lateral lesions are different. The authors present a special case with concomitant medial and lateral osteochondral lesions of the talus. This paper reports this case with a review of the relevant literature.
김남균 ( Kim NamGyun ),김수지 ( Kim Su Ji ),송동현 ( Song Dong Hyun ),오민영 ( Oh Min Young ),이현정 ( Lee Hyun Jung ) 한국수학교육학회 2022 初等 數學敎育 Vol.25 No.1
The purpose of this study is to develop a framework for analyzing the solution spaces of open-ended task and to explore their usefulness and applicability based on the analysis of solution spaces constructed by students. Based on literature reviews and previous studies, researchers developed a framework for analyzing solution spaces (OMR-framework) organized into subspaces of outcome spaces, method spaces, representation spaces which could be used in structurally analyzing students’ solutions of open-ended tasks. In our research, we developed open-ended tasks which had various outcomes and methods that could be solved by using the concepts of factors and multiples and assigned the tasks to 181 elementary school fifth and sixth graders. As a result of analyzing the student's solution spaces by applying the OMR-framework, it was possible to systematically analyze the characteristics of students' understanding of the concept of factors and multiples and their approach to reversible and constructive thinking. In addition to formal mathematical representations, various informal representations constructed by students were also analyzed. It was revealed that each space(outcome, method, and representation) had a unique set of characteristics, but were closely interconnected to each other in the process. In conclusion, it can be said that method of analyzing solution spaces of open-ended tasks of this study are useful for systemizing and analyzing the solution spaces and are applicable to the analysis of the solutions of open-ended tasks.