• 제목/요약/키워드: mathematical thought

검색결과 150건 처리시간 0.023초

유리수 지수 정의에 대한 교사 이해 분석 (Teachers' understanding of the definition of rational exponent)

  • 신보미
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제60권1호
    • /
    • pp.21-39
    • /
    • 2021
  • 본 연구는 유리수 지수 정의에 대한 교사의 이해 특징을 분석하여 교사 교육에의 시사점을 구체화하고, 지수의 확장을 지도하는 수업에서 정의의 본질 및 그 이면의 사고를 다루기 위해 고려할 필요가 있는 교수학적 쟁점을 밝히는 데 목적을 두었다. 이를 위해 지필검사 도구를 개발하여 현직 고등학교 교사 50명의 답변을 분석하였으며, 이를 토대로 유리수 지수 정의에 대한 교사의 이해 특징이 교사 교육에 주는 시사점 및 교수학적 쟁점을 기술하였다. 또한 이러한 시사점 및 교수학적 쟁점을 국내 교과서 전개 방식에 비추어 해석하여 수업을 통해 지수의 확장과 관련된 정의의 본질을 의미있게 다루기 위해 교사 및 교과서가 좀 더 주목할 필요가 있는 측면을 제언하였다.

Evaluation of delamination in the drilling of CFRP composites

  • Feroz, Shaik;Ramakrishna, Malkapuram;K. Chandra, Shekar;P. Dhaval, Varma
    • Advances in materials Research
    • /
    • 제11권4호
    • /
    • pp.375-390
    • /
    • 2022
  • Carbon Fiber Reinforced Polymer (CFRP) composite provides outstanding mechanical capabilities and is therefore popular in the automotive and aerospace industries. Drilling is a common final production technique for composite laminates however, drilling high-strength composite laminates is extremely complex and challenging. The delamination of composites during the drilling at the entry and exit of the hole has a severe impact on the results of the holes surface and the material properties. The major goal of this research is to investigate contemporary industry solutions for drilling CFRP composites: enhanced edge geometries of cutting tools. This study examined the occurrence of delamination at the entry and exit of the hole during the drilling. For each of the 80°, 90°, and 118°point angle uncoated Brad point, Dagger, and Twist solid carbide drills, Taguchi design of experiments were undertaken. Cutting parameters included three variable cutting speeds (100-125-150 m/min) and feed rates (0.1-0.2-0.3 mm/rev). Brad point drills induced less delamination than dagger and twist drills, according to the research, and the best cutting parameters were found to be a combination of maximum cutting speed, minimum feed rate, and low drill point angle (V:150 m/min, f: 0.1 mm/rev, θ: 80°). The feed rate was determined to be the most efficient factor in preventing hole entry and exit delamination using analysis of variance (ANOVA). Regression analysis was used to create first-degree mathematical models for each cutting tool's entrance and exit delamination components. The results of optimization, mathematical modelling, and experimental tests are thought to be reasonably coherent based on the information obtained.

고등학교 수학 교사 인식에 나타난 과정 중심 평가와 수행 차이 및 어려움 (Difficulties and differences in perception and performance on process-based assessment for high school mathematics teacher)

  • 오서영;권나영
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제61권2호
    • /
    • pp.239-256
    • /
    • 2022
  • 이 연구는 고등학교 수학 교사의 과정 중심 평가에 대한 인식과 실제 수행, 어려움 및 문제점을 조사하기 위해 진행되었다. 연구를 위해 인천 지역 고등학교 수학 교사 6명을 대상으로 과정 중심 평가 경험에 따라 두 그룹으로 나눈 뒤 심층 그룹면담을 실시하였다. 연구 결과, 참여자의 과정 중심 평가에 대한 인식과 실제 수행에 대한 생각에 차이가 나타났고 평가 경험의 많고 적음에 따른 차이도 확인되었다. 그리고 교사들이 과정 중심 평가를 수행하는 데 있어서 느끼는 어려움을 네 가지 차원의 제약(물리적, 교사의 전문성, 학교 문화, 사회 문화 차원)으로 나누어 분석하고, 그 연구 결과를 바탕으로 시사점을 제안한다.

초등학교 5학년 학생들의 일반화된 산술 관점과 함수적 관점에서의 변수에 대한 이해 (Fifth Graders' Understanding of Variables from a Generalized Arithmetic and a Functional Perspectives)

  • 방정숙;김리나;곽은애
    • 한국수학교육학회지시리즈E:수학교육논문집
    • /
    • 제37권3호
    • /
    • pp.419-442
    • /
    • 2023
  • 본 연구는 초기 대수의 일반화된 산술 관점과 함수적 관점에서 초등학교 5학년 학생들의 변수에 대한 이해 실태를 조사하였다. 구체적으로 전자에서는 1의 성질, 덧셈의 교환법칙, 곱셈의 결합법칙, 산술 맥락에서의 문제 상황을 포함하였고, 후자에서는 덧셈 관계, 곱셈 관계, 제곱 관계, 선형 관계를 다루었다. 11개 학교에서 246명의 학생들을 대상으로 조사한 결과, 학생들은 공통적으로 변수에 해당하는 특정한 값을 구할 수 있었고, 변수를 활용한 식에서 다른 기호를 사용하여 식을 바꿔 쓸 수도 있다는 점을 이해하는 것으로 드러났다. 그러나 정해지지 않은 양을 포함한 산술 맥락에서의 문제 상황을 변수를 활용하여 일반화된 식으로 나타내는 데 많은 어려움을 겪었다. 또한 1의 성질과 덧셈의 교환법칙을 나타낸 식에서 변수는 자연수만 된다고 생각하는 경향이 있었으며, 약 25%의 학생들은 변수가 한 가지 수로 정해져 있다고 생각하였다. 이와 같은 연구 결과를 바탕으로 본 논문은 초등학생들의 변수 이해 및 지도에 대한 시사점을 제시하였다.

콘크리트의 탄산화로 인해 탈착된 염소이온의 재확산에 대한 해석 연구 (Mathematical Modeling of Re-Diffusion Response of De-Sorbed Chloride Ions in Concrete Due to Carbonation)

  • 윤인석;성재덕
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2009년도 춘계 학술대회 제21권1호
    • /
    • pp.259-260
    • /
    • 2009
  • 대부분의 콘크리트 구조물은 탄산화 및 염소이온의 침투에 의하여 철근부식을 겪고 있으나, 대다수의 콘크리트 구조물은 염소이온과 탄산화로 인한 복합열화를 겪고 있음에도 불구하고, 대다수의 연구들은 단일열화만을 다루고 있다. 본 연구는 탄산화로 인하여 탈착된 염소이온의 재확산을 추정하기 위한 접근방법을 개발하고 하였다. 이는 탄산화와 염소이온의 복합열화에 대한 성공적인 모델을 정립하는데 핵심적인 요소이다. 본 연구결과는 향후 복합열화 모델식에 반영되어 염소이온의 탈락으로 인해 탄산화 경계영역에서 염소이온의 농축 및 재확산을 효과적으로 표현할 수 있을 것으로 생각된다.

  • PDF

Bruner의 EIS 이론에 대한 비판적 고찰 (Critical Research on Bruner's EIS Theory)

  • 홍진곤
    • 대한수학교육학회지:수학교육학연구
    • /
    • 제8권2호
    • /
    • pp.553-563
    • /
    • 1998
  • In this thesis, I examined Bruner's EIS theory from the viewpoint of epistemology based on Piaget's genetic epistemology. Although Bruner's ideal thought which insisted ‘to teach the structure’accepted Piaget's theory in the methodology of realization, it is different from Piaget in understanding knowledge. The difference is shown from understanding the meaning of ‘structure’. Piaget's concept of structure is something that has overcome the realistic viewpoint of the traditional epistemology and is reconstructed through endless self-regulative transformational process. However Bruner's is used as a realistic meaning as we can see in the Plato's recollection theory. Therefore Piaget's ‘stage of development’means the difference of structure which lies in the generative process and it includes the qualitive difference of level. On the other hand, Bruner, who is trying to translate and suggest the fixed structure to the children understood Piaget's stage of development as the difference in the ways of representation. Piaget's operational constructivism insists that the children should ‘construct’the knowledge through their activity, and especially in case of the lohico-mathematical recognition, the source should be internalized activity, that is, operation. In view of this assertion, Burner's idea which insists to accept the structure of knowledge as a fixed reality and to suggest the translated representation proper to the cognitive structure of the children to teach them, has a danger of emphasizing only the functional aspects to deliver the given knowledge ‘quickly’. And it also has the danger of damaging ‘the nature of the knowledge’in the translated knowledge.

  • PDF

Detection of similar GPCRs by using protein secondary structures

  • Ku, Ja-Hyo;Yoon, Young-Woo
    • 한국정보컨버전스학회:학술대회논문집
    • /
    • 한국정보컨버전스학회 2008년도 International conference on information convergence
    • /
    • pp.39-42
    • /
    • 2008
  • G protein-coupled receptor(GPCR) family is a cell membrane protein, and plays an important role in a signaling mechanism which transmits external signals through cell membranes into cells. Now, it is estimated that there may be about 800-1000 GPCRs in a human genome. But, GPCRs each are known to have various complex control mechanisms and very unique signaling mechanisms. GPCRs are involved in maintaining homeostasis of various human systems including an endocrine system or a neural system and thus, disorders in activity control of GPCRs are thought to be the major source of cardiovascular disorders, metabolic disorders, degenerative disorders, carcinogenesis and the like. As more than 60% of currently marketed therapeutic agents target GPCRs, the GPCR field has been actively explored in the pharmaceutical industry. Structural features, and class and subfamily of GPCRs are well known by function, and accordingly, the most fundamental work in studies identifying the previous GPCRs is to classify the GPCRs with given protein sequences. Studies for classifying previously identified GPCRs more easily with mathematical models have been mainly going on. Considering that secondary sequences of proteins, namely, secondary binding structures of amino acids constituting proteins are closely related to functions, the present paper does not place the focus on primary sequences of proteins as previously practiced, but instead, proposes a method to transform primary sequences into secondary structures and compare the secondary structures, and then detect an unknown GPCR assumed to have a same function in databases of previously identified GPCRs.

  • PDF

구아리노 구아리니 건축에 나타난 기하학적 표현에 관한 연구 - 그의 산 로렌쪼 성당의 공간형태 분석을 중심으로 - (A Study on the Geometrical Expression Shown in the Architecture of Guarino Guarini - Focusing on the Analysis of Spatial Form in Guarino Guarini's Church of San Lorenzo-)

  • 한명식
    • 한국실내디자인학회논문집
    • /
    • 제14권3호
    • /
    • pp.95-102
    • /
    • 2005
  • Guarini's architectural contribution has simply focused on the dome structure that has been known to us; however, his geometric and spatial construction has been overlooked so far Through this study, it has been demonstrated that the dome structure was simply part of geometrical forms that Guarini wanted to express ultimately and it functioned as a geometrical element such as the network combined with the entire spatial structure. The purpose of this study is to reevaluate Guarini's architectural thought by means of investigating the ultimate principles of spatial composition appeared in the late Baroque architecture through the analysis of the principles of spatial composition and organized formal Idioms by Guarini's geometrical concepts. Besides, it has been assumed that such geometrical concepts by Guarini's mathematical proportion and his reiteration and change of diagrams could be clearly distinguished from the Classical geometry in the Renaissance and Guarini. suggested a way to create a new space through more active and amusing application and transformation. In this aspect, Guarini's principles of geometric composition will be one of the role models that need to be seriously reconsidered in chaotic reality of modern architecture.

얼음의 재료 모델 적용 타당성 연구 (Comparative Study on Material Constitutive Models of Ice)

  • 정준모;남지명;김경수
    • 대한조선학회논문집
    • /
    • 제48권1호
    • /
    • pp.42-48
    • /
    • 2011
  • To define ice as a solid material, mathematical and physical characteristics and their application examples are investigated for several materials' yield functions which include isotropic elastic, isotropic elastic-plastic, classical Drucker-Prager, Drucker-Prager Cap, Heinonen's elliptic, Derradji-Aouat's elliptic, and crushable foam models. Taking into account brittle failure mode of ice subject to high loading rate or extremely low temperature, isotropic elastic model can be better practicable than isotropic elastic-plastic model. If a failure criterion can be properly determined, the elastic model will provide relatively practicable impact force history from ice-hull interactions. On the other hand, it is thought that the soil models can better predict the ice spalling mechanism, since they contain both terms of shear stress-induced and hydrostatic stress-induced failures in the yield function.

제7차 수학과 교육과정의 공간감각활동을 위한 교구 개발 및 그 효과 (The development of materials for developing childrens' spatial sense in the 7th National Curriculum and the analysis of its effects)

  • 이동규
    • 한국수학교육학회지시리즈C:초등수학교육
    • /
    • 제9권2호
    • /
    • pp.119-134
    • /
    • 2005
  • The goals of this study is to analyze develop the materials which help students develop spatial sense in elementary school and to investigate its effects. To accomplish those goals, the 7th National Curriculum was analyzed to identify the contents of spatial sense. After analyzing the 7th National Curriculum, the principle for developing the teaching aids focusing the realization of the contents in the spatial sense was set up. And then various teaching materials which can enhance students' spatial sense was developed. It is consist of 17 kinds of concretely operating materials, 7 kinds of tangram papers, one web-material. To verify the effect of the materials, surveyed the usability of the materials and two classes was selected and tests were administered before and after the treatment. Through this application, several conclusion were drawn. First, a survey result says that teachers thought materials developed would be effective in developing spatial sense. Second, the materials developed were effective to develop spatial sense. The score gained by the experiment group after the treatment was statistically meaningfully higher than the control group. This means that the materials developed helped children to develop spatial sense.

  • PDF