• Title/Summary/Keyword: Mathematics Education and Language

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The Early Childhood Education in Korea (유아교육)

  • Choi, Suk-Ran;Kim, Young-Sook
    • Korean Journal of Child Studies
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    • v.30 no.6
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    • pp.209-221
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    • 2009
  • The early childhood education in Korea has made a great progress during the last thirty years. However, understanding the early childhood education is a challenging task because of the diversity of the fields. Currently 38% of 3-5 year old children are enrolled in kindergarten. And several efforts to develop and distribute the standard curricula on a national level were underwent successfully. Researches are rapidly expanding in volume and the topics are becoming diverse. Focuses of researches moved from the area of cognitive development, science and mathematics in 80s, social and emotional aspects in 90s to language, curriculum and teacher education in 2000s. One of the emerging issues is the inclusion of kindergarten to public education system and free kindergarten education for young children. The second issues is more interdisciplinary policies are in need related to the low-birth rate in nation. The third one is about teacher training policy. The fourth one is related to the health, nutrition and safety of young children. And the fifth issue is moving educational system and policies that provide better future of young children while focusing on the children in low income families and children with absolute poverty.

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The Effect of Five Years Old Boys' and Girls' Self-Concept and Leadership on the Teacher-Child Relationship (만 5세 남녀유아의 자아개념과 리더쉽이 교사-유아관계에 미치는 영향)

  • Ma, Ji-Sun;An, Ra-Ri
    • Journal of the Korean Home Economics Association
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    • v.49 no.8
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    • pp.1-12
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    • 2011
  • This study was designed to examine the effect of five years old boys' and girls' self-concept and leadership on the teacher-child relationship. The participants were 51 boys and 64 girls who were five years old in Jeonrabukdo. The results were as follows. First, in the case of the boys, there was significant relationship between their self concept of language, the parent relationship and an intimate teacher-child relationship. The self-concept of body and the teacher-child relationship of conflict were positively correlated. In the case of the girls, there were significant relationships between the self concept of body, language, the parent relationship, friends' relationship and the general and intimate teacher-child self-concept. The self-concept of mathematics and conflictive teacher-child relation were positively correlated. Second, there were significant relationships among the sub variable of leadership and an intimate teacher-child relationship. However, prosocial leadership, directedness and a conflictive teacher-child relationship were negatively correlated in the case of the boys. Third, the teacher-child relationship was affected by leadership more than the self concept, and prosocial leadership was highly related in boys and girls.

Major satisfaction and career decision level of students in dept. of Home Economics Education (가정교육과 학생들의 학과만족도와 진로결정수준)

  • Shin, Hye Won
    • Journal of Korean Home Economics Education Association
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    • v.25 no.1
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    • pp.55-66
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    • 2013
  • The purposes of this study were to examine major satisfaction and career decision level of Home Economics Education major college students, to investigate factors influencing on major satisfaction and career decision level, and to provide basic informations for career counseling. A survey was conducted to students majoring Home Economics Education at four universities, and students majoring Korean Language Education and Mathematics Education at one same university in Seoul from October to November, 2011. General satisfaction in major of Home Economics Edu. students was above average, but social perception satisfaction was low. The social perception satisfaction was lower for Home Economics edu. students than Korean Language edu. and Mathematics edu. students. There were significant differences in major satisfaction by university and class standing, but no significant difference by gender. Students showed the lowest value in Home Economics teacher as considering job, and most of students considered teacher and major unconcerned job. Students considering major concerned job showed higher major satisfaction compared to students considering major unconcerned job. Career decision level was medium and there were not significant differences in career decision level by major, university, class standing, gender, considering job. Career decision level was affected positively by only general satisfaction in major.

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An Analysis of the Effects of Teaching Mathematics Underachievers by the Principles of Cognitively Guided Instruction (인지적으로 안내된 교수 원리를 적용한 수학학습부진아 지도 효과 분석)

  • Kim, Ji-Hye;Oh, Young-Youl
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.789-806
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    • 2010
  • As calls for more attention toward social minority group increases in our society recently, in the field of mathematics education more attention toward an issue about mathematics underachievers is being amplified. Thus, the present study is to examine the effects of teaching method considering students' cognitive characteristics on mathematical underachievers' problem solving and mathematical disposition. For this study, 10 fifth graders identified as mathematical underachievers based on the results of the national level diagnosis assessment and school based assessment were voluntarily selected from an elementary school in Seoul. The results of this study found out the fact that students participating in this program improved in terms of an ability both to solve problems in various ways and to explain an process of problem solving using spoken or written language and drawings. In addition, learning environment respecting students' own mathematical ideas seems to positively influence students' attitudes toward mathematics learning and mathematical dispositions. Furthermore, this study pointed out that mathematical underachievers tend to have difficulty in expressing their own mathematical thinking by reason of linguistic limitation. Finally, the findings of this study imply that for effective teaching of mathematics underachievers, these students' own informal experience and knowledge about mathematics as well as their characteristics regarding learning difficulties should be strongly considered.

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A study on understanding of continuity concept of function (함수의 연속 개념 이해에 대한 연구)

  • Oh, Hye-Young
    • East Asian mathematical journal
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    • v.39 no.2
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    • pp.119-139
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    • 2023
  • Most of calculus and real analysis are concerned with the study on continuous functions. Because of self-sustaining concept caused by everyday language, continuity has difficulties. This kind of viewpoint is strengthened with that teacher explains continuity by graph drawn ceaselessly and so finally confused with mathematics concept which is continuity and connection. Thus such a concept image of continuity becomes to include components which create conflicts. Therefore, we try to analyze understanding of continuity on university students by using the concept image as an analytic tool. We survey centering on problems which create conflicts with concept definition and image. And we investigate that difference of definition in continuous function which handles in calculus and analysis exists and so try to present various results on university students' understanding of continuity concept.

Ability of Recognizing and Representing the Relations between Two Quantities by Seven to Nine Years Old Students (7~9세 학생들의 관계 파악 및 표현 능력)

  • Pang, JeongSuk;Lee, YuJin
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.1
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    • pp.49-72
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    • 2017
  • Despite the importance and necessity of functional thinking in a primary school there has been lack of research in this area, specifically regarding young children. Given this, this study analyzed how students aged from 7 to 9 would figure out and represent the co-variational relationships in context-driven tasks. Semi-clinical interviews were conducted with a total of 12 students. Interview tasks included three types of functions: (a) y=x, (b) y=x+1, and (c) y=x+x. The results of this study showed that most students were able to figure out co-variational relationships in diverse ways. Some factors such as types of function or characteristics of tasks had an impact on how students recognized the relationships. The students also could represent the relationship in diverse ways such as gesture, picture, natural language, and variables. They usually used natural language, but had a trouble using variables when representing the relation between co-varying quantities. Based on these results, this study provides implications on how to foster functional thinking ability at the elementary school.

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A note on Linguistic quantifiers modeled by Sugeno integral with respect to an interval-valued fuzzy measures (구간치 퍼지측도와 관련된 수게노적분에 의해 모델화된 언어 정량자에 관한 연구)

  • Jang, Lee-Chae;Kim, Tae-Kyun;Kim, Hyun-Mee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.1
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    • pp.1-6
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    • 2010
  • Ying[M.S. Ying, Linguistic quantifiers modeled by Sugeno integrals, Artificial Intelligence 170(2006) 581-606] studied a framework for modeling quantifiers in natural languages in which each linguistic quantifier is represented by a family of fuzzy measures and the truth value of a quantified proposition is evaluated by using Sugeno integral. In this paper, we consider interval-valued fuzzy measures and interval quantifiers which are the generalized concepts of fuzzy measures and quantifiers, respectively. We also investigate logical properties of a first order language with interval quantifiers modeled by the Sugeno integral with respect to an interval-valued fuzzy measures.

An analysis of errors in problem solving of the function unit in the first grade highschool (고등학교 1학년 함수단원 문제해결에서의 오류에 대한 분석)

  • Mun, Hye-Young;Kim, Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.277-293
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    • 2011
  • The purpose of mathematics education is to develop the ability of transforming various problems in general situations into mathematics problems and then solving the problem mathematically. Various teaching-learning methods for improving the ability of the mathematics problem-solving can be tried. However, it is necessary to choose an appropriate teaching-learning method after figuring out students' level of understanding the mathematics learning or their problem-solving strategies. The error analysis is helpful for mathematics learning by providing teachers more efficient teaching strategies and by letting students know the cause of failure and then find a correct way. The following subjects were set up and analyzed. First, the error classification pattern was set up. Second, the errors in the solving process of the function problems were analyzed according to the error classification pattern. For this study, the survey was conducted to 90 first grade students of ${\bigcirc}{\bigcirc}$high school in Chung-nam. They were asked to solve 8 problems in the function part. The following error classification patterns were set up by referring to the preceding studies about the error and the error patterns shown in the survey. (1)Misused Data, (2)Misinterpreted Language, (3)Logically Invalid Inference, (4)Distorted Theorem or Definition, (5)Unverified Solution, (6)Technical Errors, (7)Discontinuance of solving process The results of the analysis of errors due to the above error classification pattern were given below First, students don't understand the concept of the function completely. Even if they do, they lack in the application ability. Second, students make many mistakes when they interpret the mathematics problem into different types of languages such as equations, signals, graphs, and figures. Third, students misuse or ignore the data given in the problem. Fourth, students often give up or never try the solving process. The research on the error analysis should be done further because it provides the useful information for the teaching-learning process.

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A study on An abridged version of the Joseon Mathematics (Su-Hak-Jeol-Yo), a mathematics book written by Jong-Hwa AN (안종화(安鍾和)의 <수학절요(數學節要)>에 대한 고찰)

  • Lee, Sang-Gu;Lee, Jae-Hwa;Byun, Hyung-Woo
    • Communications of Mathematical Education
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    • v.25 no.4
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    • pp.641-651
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    • 2011
  • In 2007, a Taiwanese mathematics historian Wann-Sheng HORNG made a visit to Kyujanggak(the royal library of Joseon Dynasty) in Seoul, Korea. During this visit, he found the Korean math book An abridged version of the Joseon Mathematics (<數學節要>, Su-Hak-Jeol-Yo), which was written by Jong-Hwa AN(9 Nov 1860 - 24 Nov 1924) in 1882. Then he mentioned the possible importance of AN's book in his article in the Journal Kyujanggak(vol. 32, June 2008). Jong-Hwa AN is a Korean scholar, activist of patriotism and enlightenment in the latter era of Joseon Dynasty. He passed the last examination of Joseon Dynasty to become a high government officer in 1894. The father of the modern mathematics education in Korea, Sang-Seol LEE(1870-1917) also passed the same examination with him. It is interesting that government high officer AN and LEE both wrote mathematics books in 19th century. In this talk, we now analyze this mathematics book of Joseon written in 1882.

Student-Centered Discrete Mathematics Class with Cyber Lab (학생중심의 대학 이산수학 강의 운영사례)

  • Lee, Sang-Gu;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.33 no.1
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    • pp.1-19
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    • 2019
  • This study deals with the case of student-centered discrete mathematics class with cyber lab. First, we provided lecture notes and cyber labs we developed. In particular, discrete mathematics is a course that covers the principles of algorithms. The purpose of this study is to provide students with basic mathematics, aiming to actively participate in the learning process, to improve their abilities and to reach the ultimate goal of student success with confidence. Second, based on interactions, students were able to prepare for the lectures, review, question, answer, and discussion through an usual learning management system of the school. Third, all the students generated materials through one semester, which were reported, submitted, presented and evaluated. It was possible to improve the learning effectiveness through the discussions and implementation of using some easy open source programming language and codes. Our discrete math laboratory could be practiced without any special knowledge of coding. These lecture models allow students to develop critical thinking skills while describing and presenting their learning and problem-solving processes. We share our experience and our materials including lecture note and cyber lab as well as a possible model of student-centered mathematics class that does not give too much of work load for instructors. This study shares a model that demonstrates that any professor will be able to have an individualized, customized, and creative discrete education without spending much of extra time and assistant, unlike previous research.