• Title/Summary/Keyword: 수학/통계 교수

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고등학교 확률과 통계영역에서 현실적 수학교육의 적용을 위한 문맥 연구

  • Kim, Won-Gyeong;Baek, Gyeong-Ho
    • Communications of Mathematical Education
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    • v.18 no.1 s.18
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    • pp.137-155
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    • 2004
  • 현실적 수학교육은 탐구학습, 열린학습 등을 통해 수학적 사고력, 문제해결력을 신장하려는 최근의 수학교육의 방향에 걸맞는 새로운 교수${\cdot}$학습 방법의 하나로 주목받고 있다. 이에 따라 본 연구에서는 고등학교 확률과 통계 영역에서 현실적 수학교육을 적용하기 위한 문맥을 개발하였다. 이 문맥들은 수학사, 자연 및 사회 현상, 실생활의 상황, 타 교과에서의 활용 상황 등 다양한 분야에서 고등학교 2${\sim}$2학년 수준에 알맞게 개발되었다.

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Exploring Effects of Elementary Teachers' Mathematics Instruction, Mathematics Teaching Efficacy, and Student Mathematical Interest on Mathematics Achievement : An Application of Multilevel Structural Equation Modeling (초등교사의 수학수업의 질, 수학 교수효능감, 학생의 수학흥미가 수학성취도에 미치는 영향 분석: 다층구조방정식의 적용)

  • Hwang, Sunghwan;Son, Taekwon
    • Education of Primary School Mathematics
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    • v.23 no.4
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    • pp.175-189
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    • 2020
  • The purpose of the present study was to investigate the structural relationships between elementary teachers' mathematics instruction, teachers' mathematics teaching efficacy, students' mathematical interest, and mathematics achievement. To achieve this goal, we used TIMSS 2015 Korean data and implemented multilevel structural equation modeling given that student data were nested within the school data. The findings reveled that at the student level, the instructional quality rated by students positively affected student mathematical interest. Additionally, student mathematical interest positively affected student mathematics achievement. Although the direct effect of instructional quality on student mathematics achievement was insignificant, the total was significant. At the school level, there were positive direct effects of instructional quality and teacher's mathematics teaching efficacy on student mathematical interest. The direct effects of instructional quality, teachers' mathematics teaching efficacy, and student mathematical interest on mathematics achievement were not significant. However, the total effects of instructional quality and teachers' mathematics teaching efficacy on mathematics achievement were significant. Based on the results, we discussed the implications of the study.

A Didactic Analysis of Sample Standard Deviation (표본표준편차의 교수학적 분석)

  • Lee, Kyung-Hwa;Shin, Bo-Mi
    • Journal of Educational Research in Mathematics
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    • v.15 no.4
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    • pp.445-459
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    • 2005
  • Statistics education is considered within the mathematics curriculum and, thus, can be integrated into other areas of mathematics. However, statistical concepts and thinking skills have to be considered as very different from those of other areas. It is possible to make statistics more meaningful for the learner by making definitions or explanations of concepts in textbooks more clear and consistent. In 'Math I' and 'Probability & Statistics' of the 7th curriculum, the definitions of sample standard deviation are different, which might confuse students. In this study, firstly, some issues relevant to sample standard deviation concept are discussed through the analysis in terms of didactical situation and curriculum. Secondly, the characteristics of sample standard deviation concept as a scholarly knowledge are examined. Finally, the characteristics of didactic transposition of sample standard deviation concept in Japanese, American, and British textbooks are investigated and some suggestions are elicited.

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A Study on a Didactic Transposition Method and Students' Understanding for the Normal Distribution (정규분포에 대한 교수학적 변환 방식과 학생들의 이해 분석)

  • Shin, Bo-Mi
    • Journal of Educational Research in Mathematics
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    • v.22 no.2
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    • pp.117-136
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    • 2012
  • The goal of this study is to investigate a didactic transposition method of text books and high school students' understanding for the Normal Distribution. To accomplish this goal, framework descriptors were developed to analyse the didactic transposition method and interpret the students' understanding based on the Historico-Genetic process of the Normal Distribution, the meaning of the Normal Distribution as a scholarly knowledge and the results of previous studies on students' understanding for the Normal Distribution. This study presented several recommendations for instruction of the Normal Distribution according to the results of analysing the didactic transposition method and interpreting the students' understanding in terms of the developed framework.

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Exploring teaching and learning methods using artificial intelligence (AI) in the mathematics classroom : Focusing on the development of middle school statistic scenarios (수학교실에서 인공지능(AI)을 활용한 교수학습 방안 탐색 : 중학교 통계 단원 시나리오 개발을 중심으로)

  • Choi, Inseon
    • Journal of the Korean School Mathematics Society
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    • v.25 no.2
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    • pp.149-174
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    • 2022
  • The purpose of this study is to explore the teaching and learning method using artificial intelligence (AI) in the mathematics classroom. To this end, to predict the direction of mathematics education using AI in the mathematics classroom, this study investigates the fields where AI is applied to education, and discuss issues to consider when introducing AI through scenario development using AI in middle school statistics. This study is meaningful in that it specifically considered how artificial intelligence can be grafted into the mathematics classroom through the development of scenarios that integrate and apply artificial intelligence that has been developed and used segmentally in the current middle school statistics. Afterwards, based on the contents of this study, implications for using AI in the math classroom were derived.

Improving of Teaching Statistics in School Mathematics (학교수학에서 통계교육의 개선방향)

  • Kim , Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.7 no.2
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    • pp.51-65
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    • 2004
  • The purpose of this study was to develop the way in improving of teaching statistics in school mathematics. I reviewed the curriculum of Korea and America in statistics at School. I proposed the effective way of teaching statistics with the curriculum and content of statistics and the method of teaching of students and teachers.

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A Study of Development and Implementation of Teaching-Learning Materials for Integrated Education of Mathematics and Biological Science - Focused on Probability in Calculus and Basic Statistics Curriculum - (수학과 생명과학 통합 교수-학습 자료 개발 및 적용 -미적분과 통계 기본의 확률의 뜻과 활용 단원을 중심으로-)

  • Shin, Bo Mi;Ju, Eun Hwa
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.629-656
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    • 2014
  • This study developed teaching and learning materials for an integrated education program of probability and genetics in the light of connections between mathematics and biological science. It also analysed characteristics of high school students' mathematical activities which appeared while the students took part in lessons where the developed materials were contributed in order to teach them. To achieve the aim, this study firstly specified five details for the development of the materials based on the results of previous research and extracted contents of probability and genetics which had the possibility of being taught in the integrated education program by examining the text books. After embodying the teaching materials according to the five details and the extracted contents, the researchers implemented 10 lessons by using the materials. This study elaborated some implications for a succeeding integrated education of mathematics and biological science in term of anlaysis results of features from the students' mathematical understanding and attitudes emerging in the lessons.

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Analysis of Preservice Elementary Mathematics Teachers' Efficacy on Mathematics Teaching (초등학교 예비 수학교사들의 수학 교수 효능감 실태 분석)

  • Kang, Moonbong
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.1
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    • pp.35-53
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    • 2016
  • The purpose of this study is for investing and analysing preservice elementary mathematics teachers' efficacy on teaching mathematics. It was measured by Kang & Kim(2014)'s instrument; MTEI (Mathematics Teaching Efficacy Instrument). The survey was conducted on a sample of 164 participants who are the 2 or 4 grade in 3 universities of education. The findings of this study are that mathematics teaching efficacy of preservice elementary mathematics teachers in South Korea is 61 percent based on 100 percent. There was no significant difference between women teachers and men teachers, department of natural science and art & humanity when highschool, 2 grade and 4 grade. But, there was the significant difference between big city and province. The social-cultural factor point was much lower than any other factors' point.

An Analysis of South Korean Elementary Teachers' Knowledge regarding Educational Theory in Mathematics (초등학교 교사의 수학과 교수·학습 관련 이론에 대한 지식 분석)

  • Kim, Rina
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.1
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    • pp.39-56
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    • 2015
  • The aim of the study presented in this paper was to explore South Korean elementary teachers' knowledge regarding educational theory in mathematics. An independent t-test and ANOVA are applied to examine elementary teachers' knowledge regarding educational theory in mathematics. Findings of this study suggest that there is a negative correlation between the teachers' knowledge regarding educational theory in mathematics and their teaching experiences as well as the teacher certification level. However, there is a little affect of the teachers' gender and educational backgrounds on the teachers' knowledge regarding educational theory in mathematics. The results of this quantitative study may broaden our understanding of the South Korean elementary teachers' knowledge for teaching mathematics, which have a deep impact on their teaching practice.

An Analysis of Difference between Students in Mathematics Education and Professors Who Teach Them in Their Cognitions of Mathematics (‘수학’에 대한 교수와 학생의 인식 차이 비교연구 - 사범대학 수학교육과 학생을 대상으로 -)

  • Kang Ok-Ki;Han Shin-Il
    • School Mathematics
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    • v.8 no.2
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    • pp.107-121
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    • 2006
  • The purpose of this study is to understand various theories of cognitions of mathematics and to compare the difference between students in mathematics education and professors who teach them in their cognition of mathematics. For this purpose, a survey of 'cognitions of mathematics' was done to the students(future teachers) and professors who taught them in the capital area, and the results was statistically analyzed. It shows that professors have almost all of things in common with students in their cognitions of mathematics except some issues such as 'there are usually more than one way to solve mathematical tasks and problems,' or 'It is indispensible for mathematics to be definitional rigor,' which are statistically significant. Many theoretical and empirical grounds were supported for the differences in their responses. The study has, eventually, given valuable suggestions to lead people's attitudes and cognitions of mathematics to a deeper level.

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