• Title/Summary/Keyword: 통계적 소양

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An Analysis on the Statistical Literacy of Secondary Mathematics Teachers and Adults -Focused on the Level of Understanding in a Poll Results- (중등수학교사와 일반인의 통계적 소양 분석 -여론조사 결과의 이해수준을 중심으로-)

  • So, Jaehong;Badamjav, Gundegmaa;Jeon, Youngju
    • Journal of the Korean School Mathematics Society
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    • v.23 no.3
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    • pp.397-425
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    • 2020
  • Statistical literacy is a key ability expected of citizens in information-laden societies, and is often revealed as an expected outcome of schooling and as a necessary component of adults' numeracy and literacy. Knowing how important statistical literacy is, the purpose of this research was to measure statistical literacy of adults and secondary mathematics teachers. This study explored the statistical literacy based on the level of understanding in poll results and analyzed the data obtained through semi-structured interviews with 20 secondary mathematics teachers and 20 adults. As a result, the following conclusions were obtained: First, few secondary mathematics teachers and adults correctly recognized the meaning of statistical terms and expressions included in the poll results. Second, 70% of research participants did not reach levels 3 or 4 of statistical literacy levels. Third, the statistical literacy level of secondary mathematical teachers was higher than that of adults.

An Analysis on Error Types of Graphs for Statistical Literacy Education: Ethical Problems at Data Analysis in the Statistical Problem Solving (통계적 소양 교육을 위한 그래프 오류 유형 분석: 자료 분석 단계에서의 통계 윤리 문제)

  • Tak, Byungjoo;Kim, Dabin
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.1
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    • pp.1-30
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    • 2020
  • This study was carried out in order to identify the error types of statistical graphs for statistical literacy education. We analyze the meaning of using graphs in statistical problem solving, and identify categories, frequencies, and contexts as the components of statistical graphs. Error types of representing categories and frequencies make statistics consumers see incorrect distributions of data by subjective point of view of statistics producers and visual illusion. Error types of providing contexts hinder the interpretation of statistical information by concealing or twisting the contexts of data. Moreover, the findings show that tasks provide standardized frame already for drawing graphs in order to avoid errors and pay attention to the process of drawing the graph rather than statistical literacy for analyzing data. We suggest some implications about statistical literacy education, ethical problems, and knowledge for teaching to be considered when teaching the statistical graph in elementary mathematics classes.

A study of the policy change of teacher' education in Korea with an analysis of America statistical literacy education (미국의 통계소양교육 분석을 통한 우리나라 교사교육 방향의 탐색)

  • Kim, Jeongran;Kim, Yunghwan
    • Journal of the Korean School Mathematics Society
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    • v.20 no.2
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    • pp.163-186
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    • 2017
  • The purpose of this paper is to propose the policy change of teachers education in Korea with an analysis of America statistical literacy education. we found the difference of statistical literacy education between Korea and America with each nation's social and educational environment. We can get the need of new change for statistic teacher's education in Korea. We think of Mathematics teachers should know about the difference between statistics and mathematics at school mathematics. And they should know the new change thinking about teaching method and process assesment methods. Second, Teachers should focused on teaching of problem solving and statistical thinking ability based on data analysis than the teaching of probability and mathematical theory.

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Development and Application of Statistical Programs Based on Data and Artificial Intelligence Prediction Model to Improve Statistical Literacy of Elementary School Students (초등학생의 통계적 소양 신장을 위한 데이터와 인공지능 예측모델 기반의 통계프로그램 개발 및 적용)

  • Kim, Yunha;Chang, Hyewon
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.717-736
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    • 2023
  • The purpose of this study is to develop a statistical program using data and artificial intelligence prediction models and apply it to one class in the sixth grade of elementary school to see if it is effective in improving students' statistical literacy. Based on the analysis of problems in today's elementary school statistical education, a total of 15 sessions of the program was developed to encourage elementary students to experience the entire process of statistical problem solving and to make correct predictions by incorporating data, the core in the era of the Fourth Industrial Revolution into AI education. The biggest features of this program are the recognition of the importance of data, which are the key elements of artificial intelligence education, and the collection and analysis activities that take into account context using real-life data provided by public data platforms. In addition, since it consists of activities to predict the future based on data by using engineering tools such as entry and easy statistics, and creating an artificial intelligence prediction model, it is composed of a program focused on the ability to develop communication skills, information processing capabilities, and critical thinking skills. As a result of applying this program, not only did the program positively affect the statistical literacy of elementary school students, but we also observed students' interest, critical inquiry, and mathematical communication in the entire process of statistical problem solving.

A Study on Statistical Thinking and developing Statistical thoughts (통계적 사고와 그 함양에 관한 연구)

  • Kim, Sang-Lyong
    • Education of Primary School Mathematics
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    • v.12 no.1
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    • pp.31-38
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    • 2009
  • This paper aims to develop a program which cultivates statistical ability for elementary students. For this purpose, I examined the relationship between mathematical thinking and statistical thinking. I developed statistical programs including classification, discussion of data, generating statistical problem and project program. As result, this study suggests implications for further elementary statistical education.

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A Study on the Concept of Sample by a Historical Analysis (표본 개념에 대한 고찰: 역사적 분석을 중심으로)

  • Tak, Byungjoo;Ku, Na Young;Kang, Hyun-Young;Lee, Kyeong-Hwa
    • School Mathematics
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    • v.16 no.4
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    • pp.727-743
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    • 2014
  • The concepts of sample and sampling are central to the statistical thinking and foundations of the statistical literacy, so we need to be emphasized their importance in the statistics education. However, many researches which dealt with samples only analyze textbooks or students' responses. In this study, the concept of sample is addressed by a historical consideration which is one aspect of the didactical analysis. Moreover, developing concept of sample is analyzed from the preceding studies about the statistical literacy, considering the sample representativeness and the sampling variability. The results say that the historical process of developing the concept of sample can be divided into three step: understanding the sample representativeness; appearing the sample variance; recognizing the sampling variability. Above all, it is important to aware and control the sampling variability, but many related researches might not consider sample variability. Therefore, it implies that the awareness and control of sampling variability are needed to reflect to the teaching-learing of sample for developing the students' statistical literacy.

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A Case Study on Effect of Statistics Class focusing on Statistical Argumentation (통계적 논증활동을 강조한 통계수업의 효과에 대한 사례연구)

  • Kang, Hyun-Young;Song, Eun-Young;Cho, Jin-Woo;Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.21 no.4
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    • pp.399-422
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    • 2011
  • There has been an agreement on the necessity for each citizen is to be educated, so called, to develop quantitative literacy or statistical literacy, dealing with real world data. For this reason, it is highly demanded to improve traditional statistics education. In particular, critical thought and statistical communication competency cultivation is becoming more crucial in statistics classes. In line with this reform movement in statistics education, we developed tasks facilitating statistical debate among students through inducing cognitive conflict. The tasks employed for this study resulted in playing crucial role to activate statistical debate. Including aforementioned feature about the tasks for this study, we obtained several positive results such as promoting critical thought and conceptual extension by designed teaching experiment focusing on statistical debate.

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Study on hydrologic variability of Soyang dam associated with tropical cyclones effects (태풍 영향을 고려한 소양강댐의 수문 변동특성에 관한 연구)

  • Kang, Ho Yeong;Hwang, Sung Hwan;Choi, Ji Hyeok;Moon, Young Il
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.456-456
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    • 2017
  • 지구온난화에 의한 태풍강도 증가로 한반도지역은 잠재적 위험성에 항상 노출되어있다. 따라서 본 연구는 한강의 대표적 다목적댐인 소양강댐을 대상으로 한반도 태풍영향을 정량화하고 그에 따른 수문변화특성을 피어슨 상관분석(Pearson Correlation)과 순위 분석(Rank Analysis)을 이용하여 조사하였다. 지오포텐셜 고도자료와 GPCP 강우자료를 분석한 결과 소양강댐의 여름철 유출량 중 태풍에 의한 유출이 크지 않았지만 엘리뇨에서 라니냐로 전환되는 시기의 태풍에 의한 유출량은 반 이상을 차지할 정도로 크게 나타났다. Rank분석결과 태풍발생비율(n/N)에 대한 첨두유량의 변화는 크지만 첨두유량의 발생빈도와 지속시간의 변화는 뚜렷하지 않은 것으로 나타났고 첨두발생시간은 더 지연되는 특성을 보였다. 그러나 High Flow 분석결과에서는 첨두유량과 첨두유량의 발생시기 변화의 통계적 유의성은 나타나지 않았으나 첨두유량 이상의 유출발생빈도와 지속기간은 증가하는 것으로 나타났다. 본 연구는 해수면 온도 변화에 따른 대규모 대기 순환패턴과 소양강댐 유역의 수문변화특성의 관계를 파악하기 위한 기초자료를 제공할 것으로 기대된다.

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An Analysis on Statistical Graphs in Elementary Textbooks of Other Subjects to Improve Teaching Graphs in Mathematics Education (타 교과 통계 그래프 분석을 통한 초등학교 수학 수업에서의 그래프 지도 개선 방안 탐색)

  • Lee, Hyeungkeun;Kim, Dong-Won;Tak, Byungjoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.119-141
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    • 2019
  • This study was carried out in order to draw some implications for teaching statistical graph in mathematics education with respect to practical statistics education for promoting students' statistical literacy. We analyze 133 graphs appearing in 99 elementary textbooks of other subjects (subjects except from mathematics) by subjects and types, and identify some cases of graphs addressed by other subjects. As a results, statistical graph was most addressed in social studies, and bar graphs, line graphs, tables, and circle graphs are most used in other subjects. Moreover, there are some issues related to contents-(1) the problem of curricular sequencing between mathematics and other subjects, (2) the level of addressing ratio graph, and (3) the use of wavy lines. In terms of forms, (1) the visual variation of graphical representations, (2) representation combining multiple graphs, and (2) graphs specialized for particular subjects are drawn as other issues. We suggest some implications to be considered when teaching the statistical graph in elementary mathematics classes.

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A Study on Pre-Service Teachers' Understanding of Random Variable (확률변수 개념에 대한 예비교사의 이해)

  • Choi, Jiseon;Yun, Yong Sik;Hwang, Hye Jeang
    • School Mathematics
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    • v.16 no.1
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    • pp.19-37
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    • 2014
  • This study investigated the degree of understanding pre-service teachers' random variable concept, based on the attention and the importance for developing pre-service teachers' ability on statistical reasoning in statistics education. To accomplish this, the subject of this study was 70 pre-service teachers belonged to three universities respectively. The teachers were given to 7 tasks on random variable and requested to solve them in 40 minutes. The tasks consisted of three contents in large; 1) one was on the definition of random variables, 2) the other was on the understanding of random variables in different/diverse conditions, and 3) another was on problem solving relevant to random variable concept. The findings are as follows. First, while 20% of pre-service teachers understood the definition of random variable correctly, most teachers could not distinguish between random variable and variable or probability. Second, there was a significant difference in understanding random variables in different/diverse conditions. Namely, the degree of understanding on the continuous random variable was superior to that of discrete random variable and also the degree of understanding on the equal distribution was superior to that of unequality distribution. Third, three types of problems relevant to random variable concept dealt with in this study were finding a sample space and an elementary event, and finding a probability value. In result, the teachers responded to the problem on finding a probability value most correctly and on the contrary to this, they had the mot difficulty in solving the problem on finding a sample space.

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