• 제목/요약/키워드: development of numerals

검색결과 11건 처리시간 0.03초

숫자 또는 도형을 사용하여 제시된 비정형적인 문제에서 학생들의 반응에 대한 연구 (A Study on Students' Responses to Non-routine Problems Using Numerals or Figures)

  • 황선욱;심상길
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제49권1호
    • /
    • pp.39-51
    • /
    • 2010
  • The purpose of this article is to study students' responses to non-routine problems which are presented by using solely numerals or symbolic figures. Such figures have no mathematical meaning but just symbolical meaning. Most students understand geometric figures more concrete objects than numerals because geometric figures such as circles and squares can be visualized by the manipulatives in real life. And since students need not consider (unvisible) any operational structure of numerals when they deal with (visible) figures, problems proposed using figures are considered relatively easier to them than those proposed using numerals. Under this assumption, we analyze students' problem solving processes of numeral problems and figural problems, and then find out when students' difficulties arise in the problem solving process and how they response when they feel difficulties. From this experiment, we will suggest several comments which would be considered in the development and application of both numerical and figural problems.

아라비아 수학이 근세 수학 발전에 미친 영향 (The Influence of Arabic Mathematics on the Modern Mathematics)

  • 정지호
    • 한국수학사학회지
    • /
    • 제2권1호
    • /
    • pp.9-27
    • /
    • 1985
  • Islam toot a great interest in the utility sciences such as mathematics and astronomy as it needed them for the religious reasons. It needeed geometry to determine the direction toward Mecca, its holiest place: arithmetic and algebra to settle the dates of the festivals and to calculate the accounts lot the inheritance; astronomy to settle the dates of Ramadan and other festivals. Islam expanded and developed mathematics and sciences which it needed at first for the religious reasons to the benefit of all mankind. This thesis focuses upon the golden age of Islamic culture between 7th to 13th century, the age in which Islam came to possess the spirit of discovery and learning that opened the Islamic Renaissance and provided, in turn, Europeans with the setting for the Renaissance in 14th century. While Europe was still in the midst of the dark age of the feudal society based upon the agricultural economy and its mathematics was barey alive with the efforts of a few scholars in churches, the. Arabs played the important role of bridge between civilizations of the ancient and modern times. In the history of mathematics, the Arabian mathematics formed the orthodox, not collateral, school uniting into one the Indo-Arab and the Greco-Arab mathematics. The Islam scholars made a great contribution toward the development of civilization with their advanced the development of civilization with their advanced knowledge of algebra, arithmetic and trigonometry. the Islam mathematicians demonstrated the value of numerals by using arithmetic in the every day life. They replaced the cumbersome Roman numerals with the convenient Arabic numerals. They used Algebraic methods to solve the geometric problems and vice versa. They proved the correlation between these two branches of mathematics and established the foundation of analytic geometry. This thesis examines the historical background against which Islam united and developed the Indian and Greek mathematics; the reason why the Arabic numerals replaced the Roman numerals in the whole world: and the influence of the Arabic mathematics upon the development of the modern mathematics.

  • PDF

Development of character recognition system for the mixed font style in the steel processing material

  • Lee, Jong-Hak;Park, Sang-Gug;Park, Soo-Young
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2005년도 ICCAS
    • /
    • pp.1431-1434
    • /
    • 2005
  • In the steel production line, the molten metal of a furnace is transformed into billet and then moves to the heating furnace of the hot rolling mill. This paper describes about the development of recognition system for the characters, which was marked at the billet material by use template-marking plate and hand written method, in the steel plant. For the recognition of template-marked characters, we propose PSVM algorithm. And for the recognition of hand written character, we propose combination methods of CCD algorithm and PSVM algorithm. The PSVM algorithm need some more time than the conventional KLT or SVM algorithm. The CCD algorithm makes shorter classification time than the PSVM algorithm and good for the classification of closed curve characters from Arabic numerals. For the confirmation of algorithm, we have compared our algorithm with conventional methods such as KLT classifier and one-to-one SVM. The recognition rate of experimented billet characters shows that the proposing PSVM algorithm is 97 % for the template-marked characters and combinational algorithm of CCD & PSVM is 95.5 % for the hand written characters. The experimental results show that our proposing method has higher recognition rate than that of the conventional methods for the template-marked characters and hand written characters. By using our algorithm, we have installed real time character recognition system at the billet processing line of the steel-iron plant.

  • PDF

패턴설계요소기반의 디자인 분류 및 패턴탐색 알고리즘개발 - 맞춤양산형 야구복 자동패턴 설계시스템을 위한 - (Design Classification and Development of Pattern Searching Algorithm Based on Pattern Design Elements - With focus on Automatic Pattern Design System for Baseball Uniforms Manufactured under Custom-MTM System -)

  • 강인애;최경미;전정일
    • 한국의류산업학회지
    • /
    • 제13권5호
    • /
    • pp.734-742
    • /
    • 2011
  • This study has been undertaken as a basic research for automatic pattern design for baseball uniforms manufactured under custom-MTM system, propose building up of a system whereby various partial patterns are combined under an automatic design system and develop a multi-combination type pattern searching algorithm which allows development of a various designs. As a result of this, type classification based on pattern design elements includes side, open, collar, facing and panel type. Design have been divided into coarse classification ranging from level 1 to 7 according to pattern design elements, based on a design distribution chart. Out of 7 such levels, 3 major types determining design which are, more specifically, level 1 sleeve type, level 2 open type and level 3 collar type, have been taken and combined to determine a total of 12 types to be used for design classification codes. Respective name of style and patterns have been coded using alphabet and numerals. Totally, pattern searching algorithm of multi-combination type has been developed whereby combination of patterns belonging to a specific style can be retrieved automatically once that style name is designated on the automatic pattern design system.

고대 인도수학의 특징 (The Characteristics of Mathematics in Ancient India)

  • 김종명
    • 한국수학사학회지
    • /
    • 제23권1호
    • /
    • pp.41-52
    • /
    • 2010
  • 고대의 인도수학은 산스크리트어로 쓰여 있고, 수학의 법칙이나 문제들은 구전되었거나 필사본의 형태로 경전 속에 포함되어 있으며, 학생들이 암기를 쉽게 할 수 있도록 아주 간결하게 정리되어 있다. 고대 인도의 많은 수학자들은 일찍이 십진법, 계산법, 방정식, 대수학, 기하학, 삼각법 등의 연구에 공헌하였다. 이 논문은 고대 인도수학과 다른 문명권의 수학발전을 비교하였다. 고대 그리스 수학이 공리적이고 연역적이라면, 인도수학은 양적이며 계산적이지만 원리를 가지고 문제를 해결하는 특성이 있다. 고대 인도와 타 문명권의 수학을 비교하는 것은 오늘날 수학교육과 수학사 연구에 의미가 있는 것으로 사료된다.

듀이 십진분류법의 발전요인 (Chief causes for the development of the dewey decimal classification)

  • 이창수
    • 한국도서관정보학회지
    • /
    • 제13권
    • /
    • pp.85-111
    • /
    • 1986
  • Dewey Decimal Classification (DDC) was first published in 1876. Since its first edition it has been revised, on an average, 6 years, and now it has become the widely used library classification system of which the scheme was translated in various languages. The purpose of this study is to find out the chief causes for the development of the DDC. The results of the study can be summarized as follows: 1. It allows materials to be shelved in a relative location as the collection expands. before the DDC was introduced, libraries used a fixed location for materials in which each item was assigned to a certain location set aside for a subject. 2. It is a practical system. The fact that it has survived many storms in the past hundred years and is still the most widely used classification scheme in the world today attests to its practical value. 3. The pure notation of arabic numerals is universally recognizable. People from any cultural or language background can adapt to the system easily. 4. The use of the decimal system enable infinite expansion and sub-division. And it has adaptability for use in libraries of various size and kinds because of its hierarchically expressive notation which permits varying degrees of inclusiveness and exclusiveness within its decimal structure. 5. The notation is simple and easily understood. The self-evident numerical sequence facilitates filing and shelving. And the mnemonic nature of the notation helps the readers to memorize and recognize the class numbers. 6. The relative index brings together different aspects of the same subject scattered in different disciplines. 7. We can avail of DDC numbers for specific titles easily because of its use by many central bibliographic services. 8. It is being continuously revised by a permanent office established in the library of congress in 1933. This office has been responsible for editing all editions of the DDC since the 16th (1958). And the periodic revision at regular intervals ensures the currentness of the scheme. 9. It has adaptability both for conventional (manual) shelf or classed catalogue analysis and also, through its meaningful nation, for retrieval through mechanization and computerized systems.

  • PDF

중학교 수학과 수행평가의 문제점 분석 및 그 해결 방안 연구 (Problem Analysis and Study of Solution Device in Relation with Middle School Mathematics Performance Assessment)

  • 박재용
    • 한국학교수학회논문집
    • /
    • 제3권1호
    • /
    • pp.149-163
    • /
    • 2000
  • The Ministry of Education have had us practice the performance test as a substitute proposal, however, all the more for the idealistic purport, our education front does not have such a sufficient condition as to practice the performance test for many classes and miscellaneous duties and over-populated class, and that practice has been enforced so abruptly without any drastic preparation and has caused much confusion from the beginning of that enforcement. Thus, these problematic concerns are remained as the tasks of the teachers to be solved by themselves in the front of education, and herein I came to do this research. The followings are the conclusions that I got as the results of the research (1) Performance test style should be applied in consideration of the students' achievement level and the gap of the teachers' recognition; descriptive test, portfolio assignment and formative test styles were proper for the students lacking basic study ability. (2) Descriptive test should have its beginning with the question items to which students can write the problem solving procedure logically rather than those to evaluate the creation ability and thinking ability: and putting down specifically the assessment standard could prevent students' confusion and scheme the impartiality of the assessment. (3) Portfolio assignment evaluation should be given with as interesting and suitable amounts as possible so that the students can do by themselves. (4) Utilizing the performance test table enabled easy management of documentary evidence. And it is needless to say that the success of the performance test should have preceding conditions like the teachers' understanding and their positive participation. Therefore, I'd like to give suggestions herein like the followings; (1) The performance test should not always be made into grades, and there is a need to develop the test gradually in the condition that the education surroundings permit by checking time, frequency, ratio and contents of the test while practicing the multiple choice writing test. (2) As long as the performance test has the aims of improving the studying and learning activities, any performance test only for the sake of making numerals with the thought that assessment is the disposal of the grades should be avoided, and the change of the lecturing styles and development of various assessing types and studying materials should be endeavored to confirm with the aims.

  • PDF

한국어 수사의 어원에 관한 수학사적 조망: 하나에서 열까지 (A math-historical outlook on etymology of korean number words: from hana(one) to yoel(ten))

  • 박교식
    • 한국수학사학회지
    • /
    • 제21권3호
    • /
    • pp.97-112
    • /
    • 2008
  • 이 연구에서는 한국어 수사 하나, 둘, ..., 열의 어원에 대한 현재까지의 연구 결과를 수학사적인 관점에서 비판적으로 조망했다. 수학사적인 관점에서 보면, 하나, 둘, 셋의 어원을 찾는 일은 사실상 가능해 보이지 않는다. 셋과 넷, 넷과 다섯 사이에는 단절이 있었을 가능성이 있다. 하나, 둘, 셋, 넷의 어원은 다섯, 여섯, ..., 열의 어원과는 다른 측면에서 찾아야 할 것이다. 여섯과 일곱 사이에 단절이 있었을 가능성이 있다. 일곱, 여덟, 아홉의 조어 메커니즘은 동일할지 모른다. 아홉과 열 사이에 단절이 있었을 가능성이 있다. 현재까지의 연구에서는 이러한 단절에 충분히 주목하지 않고 있으나, 수학사에 따르면 수사의 발달에는 여러 번의 단절이 존재 했다.

  • PDF

딥러닝 기반 미얀마 문자의 특징 추출 및 인식 (Feature Extraction and Recognition of Myanmar Characters Based on Deep Learning)

  • 옴마킨;이성근
    • 한국전자통신학회논문지
    • /
    • 제17권5호
    • /
    • pp.977-984
    • /
    • 2022
  • 최근 동남아시아의 경제발전에 따라 정보기기의 활용이 광범위하게 확산되고 있으며, 지능적 문자인식을 이용한 응용서비스에 대한 수요가 증가하고 있다. 본 논문은 동남아시아 국가 중 하나인 미얀마 문자에 대한 딥러닝 기반 특징 추출 및 인식에 대해 논한다. 특징 추출에는 미얀마 알파벳(33자)과 숫자(10자리)를 사용한다. 본 논문은 9개의 특징을 추출하고 3개 이상의 새로운 특징을 제안한다. 각 문자와 숫자의 특징을 추출하여 성공적인 결과로 표현하였다. 인식 부분에서는 합성곱 신경망을 사용하여 문자 구분에 대한 실행을 평가한다. 제안한 알고리즘은 캡처된 이미지 데이터 세트에 구현되고, 이에 대한 성능을 평가한다. 입력 데이터 세트에 대한 모델의 정밀도는 96%이며 실시간 입력 이미지를 사용한다.

스포츠 중계를 위한 자막 인식 시스템 개발 (Development of a Video Caption Recognition System for Sport Event Broadcasting)

  • 오주현
    • 한국HCI학회:학술대회논문집
    • /
    • 한국HCI학회 2009년도 학술대회
    • /
    • pp.94-98
    • /
    • 2009
  • 메이저리그 야구 중계 등 해외 스포츠 중계제작에서 해결해야 할 문제 중 하나는 MPH(miles per hour)와 같이 영미식 단위로 표시된 자막을 국내 실정에 맞게 km/h 등으로 변환하는 것이다. 이를 위해 중계화면에 표시된 자막영역의 변화로부터 해당 자막이 표시되었음을 감지하고 숫자 정보를 인식하여 이를 국내실정에 맞는 SI 단위로 변환하는 스포츠 자막 인식 시스템을 개발하였다. 변환된 자막은 후단의 문자발생기 (CG) 시스템으로 전달되어 최종적으로 TV 화면에 표시된다. 일반적으로 문자 인식에 주로 사용되는 신경망(neural networks) 기반 방식은 사전에 유사 데이터를 이용한 신경망의 학습(training) 과정이 필수적으로 요구되며, 또한 학습에 사용된 데이터와 다른 모양의 자막이 예고 없이 사용되었을 경우 대처할 수 없다는 단점이 있다. 생방송이라는 사용 환경을 고려하여 새로운 폰트로 제작된 자막에도 신속하게 대처할 수 있는 템플릿 매칭(template matching) 방식을 사용하였다. 여러 가지 실험 영상으로 테스트한 결과 97% 이상의 정확한 인식 결과를 얻었으며, 정확성을 요하는 생방송의 특성상 매칭의 확신도(confidence)가 높지 않은 경우에는 작업자가 판단한 후 핫키를 이용하여 정확한 자막을 출력할 수 있게 하였다.

  • PDF