• 제목/요약/키워드: Choice Probability

검색결과 172건 처리시간 0.018초

초.중.고등학교 확률과 통계 단원에 나타난 표본개념에 대한 분석 (Features of sample concepts in the probability and statistics chapters of Korean mathematics textbooks of grades 1-12)

  • 이영하;신수영
    • 대한수학교육학회지:수학교육학연구
    • /
    • 제21권4호
    • /
    • pp.327-344
    • /
    • 2011
  • 본 연구는 고등학교 수학교과에서 배우는 모평균의 신뢰구간 구하기와 같은 통계적 추론 능력을 기르기 위한 방안의 첫 단계연구이다. 통계적 추론과정을 비판적으로 분석하여 신뢰할만한 추론방법으로 이를 인정할 수 있는 표본개념의 형성을 위해, 연구자들은 우연과 필연, 귀납과 연역, 가능성원리, 통계량의 변이성, 통계적 모형 등의 하위 개념들이 형성되어야 한다고 보았다. 그리고 초중등 통계단원의 전 과정에서 이들 개념의 체계적인 발달을 도모해야 한다는 전제 아래, 초 중 고등학교 통계단원을 분석해 본 결과는 아래와 같았다. 첫째, 문제해결 방법 선택의 지도와 관련하여, 통계적 방법을 선택할 문제 상황으로서, 우연적 상황을 필연적 상황과 구분하기위한 설명이 있는 교과서가 초등학교에는 없고, 중등 수준에서도 매우 드물었다. 둘째 표본의 모집단 관련 의미를 이해시키려는 단계적 준비가 미흡하다고 할 수 있다. 전체와 부분의 모집단과 표본 구분이 고등학교에서 비로소 공식화되고 있으며, 초 중학교에서 사용되는 표본자료는 그것으로부터 얻어지는 계산적 결과에만 초점이 맞추어짐으로서, 학년이 올라감에 따라 모집단을 향한 귀납적 추론의 신뢰성에 대한 비판적 사고의 깊이가 더해지는 모습을 찾아보기 어려웠다. 셋째, 무작위 추출이 갖는 대표성의 의미에 대한 설명보다는 무작위 활동 자체에 대한 설명이 중심이 됨으로서 무작위 추출의 확률적 의미, 즉 무작위 표본을 통해 구해질 통계량의 표집분포에서의 (상속된) 무작위성을 위한 담보로서의 목적에 대한 설명이 없다는 점이다. 넷째 통계적 추론을 수학(연역)적 추론과 구분해 주는 설명이 없을 뿐 아니라, 학습자의 논리성 발달 수준에 맞게 변화하는 가능성원리에 대한 설명, 적용 등을 전혀 찾기 어렵다는 점이다. 다섯째 통계량의 우연변이성과 그에 따른 표집분포의 존재에 대한 이해를 추구하는 설명을 찾기 어렵다는 점이다. 표집분포를 수학적으로 구하는 것은 매우 어려운 과정이지만, 그것의 존재를 인식하느냐 못하느냐는 통계적 추론 자체의 이해 가능성을 달리하는 중요한 문제이기 때문이다.

  • PDF

불량환경하(不良環境下)에서의 제초제(除草劑) 약해(藥害)와 경감기술(輕減技術) (Herbicidal Phytotoxicity under Adverse Environments and Countermeasures)

  • 권용웅;황형식;강병화
    • 한국잡초학회지
    • /
    • 제13권4호
    • /
    • pp.210-233
    • /
    • 1993
  • The herbicide has become indispensable as much as nitrogen fertilizer in Korean agriculture from 1970 onwards. It is estimated that in 1991 more than 40 herbicides were registered for rice crop and treated to an area 1.41 times the rice acreage ; more than 30 herbicides were registered for field crops and treated to 89% of the crop area ; the treatment acreage of 3 non-selective foliar-applied herbicides reached 2,555 thousand hectares. During the last 25 years herbicides have benefited the Korean farmers substantially in labor, cost and time of farming. Any herbicide which causes crop injury in ordinary uses is not allowed to register in most country. Herbicides, however, can cause crop injury more or less when they are misused, abused or used under adverse environments. The herbicide use more than 100% of crop acreage means an increased probability of which herbicides are used wrong or under adverse situation. This is true as evidenced by that about 25% of farmers have experienced the herbicide caused crop injury more than once during last 10 years on authors' nationwide surveys in 1992 and 1993 ; one-half of the injury incidences were with crop yield loss greater than 10%. Crop injury caused by herbicide had not occurred to a serious extent in the 1960s when the herbicides fewer than 5 were used by farmers to the field less than 12% of total acreage. Farmers ascribed about 53% of the herbicidal injury incidences at their fields to their misuses such as overdose, careless or improper application, off-time application or wrong choice of the herbicide, etc. While 47% of the incidences were mainly due to adverse natural conditions. Such misuses can be reduced to a minimum through enhanced education/extension services for right uses and, although undesirable, increased farmers' experiences of phytotoxicity. The most difficult primary problem arises from lack of countermeasures for farmers to cope with various adverse environmental conditions. At present almost all the herbicides have"Do not use!" instructions on label to avoid crop injury under adverse environments. These "Do not use!" situations Include sandy, highly percolating, or infertile soils, cool water gushing paddy, poorly draining paddy, terraced paddy, too wet or dry soils, days of abnormally cool or high air temperature, etc. Meanwhile, the cultivated lands are under poor conditions : the average organic matter content ranges 2.5 to 2.8% in paddy soil and 2.0 to 2.6% in upland soil ; the canon exchange capacity ranges 8 to 12 m.e. ; approximately 43% of paddy and 56% of upland are of sandy to sandy gravel soil ; only 42% of paddy and 16% of upland fields are on flat land. The present situation would mean that about 40 to 50% of soil applied herbicides are used on the field where the label instructs "Do not use!". Yet no positive effort has been made for 25 years long by government or companies to develop countermeasures. It is a really sophisticated social problem. In the 1960s and 1970s a subside program to incoporate hillside red clayish soil into sandy paddy as well as campaign for increased application of compost to the field had been operating. Yet majority of the sandy soils remains sandy and the program and campaign had been stopped. With regard to this sandy soil problem the authors have developed a method of "split application of a herbicide onto sandy soil field". A model case study has been carried out with success and is introduced with key procedure in this paper. Climate is variable in its nature. Among the climatic components sudden fall or rise in temperature is hardly avoidable for a crop plant. Our spring air temperature fluctuates so much ; for example, the daily mean air temperature of Inchon city varied from 6.31 to $16.81^{\circ}C$ on April 20, early seeding time of crops, within${\times}$2Sd range of 30 year records. Seeding early in season means an increased liability to phytotoxicity, and this will be more evident in direct water-seeding of rice. About 20% of farmers depend on the cold underground-water pumped for rice irrigation. If the well is deep over 70m, the fresh water may be about $10^{\circ}C$ cold. The water should be warmed to about $20^{\circ}C$ before irrigation. This is not so practiced well by farmers. In addition to the forementioned adverse conditions there exist many other aspects to be amended. Among them the worst for liquid spray type herbicides is almost total lacking in proper knowledge of nozzle types and concern with even spray by the administrative, rural extension officers, company and farmers. Even not available in the market are the nozzles and sprayers appropriate for herbicides spray. Most people perceive all the pesticide sprayers same and concern much with the speed and easiness of spray, not with correct spray. There exist many points to be improved to minimize herbicidal phytotoxicity in Korea and many ways to achieve the goal. First of all it is suggested that 1) the present evaluation of a new herbicide at standard and double doses in registration trials is to be an evaluation for standard, double and triple doses to exploit the response slope in making decision for approval and recommendation of different dose for different situation on label, 2) the government is to recognize the facts and nature of the present problem to correct the present misperceptions and to develop an appropriate national program for improvement of soil conditions, spray equipment, extention manpower and services, 3) the researchers are to enhance researches on the countermeasures and 4) the herbicide makers/dealers are to correct their misperceptions and policy for sales, to develop database on the detailed use conditions of consumer one by one and to serve the consumers with direct counsel based on the database.

  • PDF