• Title/Summary/Keyword: university math education

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Analyzing Perceptions of Small Group Inquiry Activity in the Gifted Education of Korea (한국영재교육에서 소집단 탐구활동에 대한 인식 분석)

  • Jeong, Hyun-Chul;Park, Young-Shin;Hwang, Dong-Jou
    • Journal of the Korean earth science society
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    • v.29 no.2
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    • pp.151-162
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    • 2008
  • This study quantitatively investigated the actual situations and perceptions of gifted students and their teachers during small group inquiry activities in Korea. Some 1,670 gifted math students and 1,732 gifted science students as well as 614 of their teachers were selected through random sampling to participate in this study. Data were collected by means of a survey developed by the researchers of this study, based on reviews of literature related to inquiry and small group cooperative learning. The results were as follows: (1) In Korean gifted education, small group inquiry activities were frequently used as teaching and learning strategies, and both the students and teachers perceived its effects to be very positive in terms of cognition and affection. (2) Gifted education teachers emphasized the development of students' procedural inquiry skills as well as logical thinking skills, whereas they were indifferent to the essential elements of small group cooperative learning and therefore the lessons did not surpass the level of traditional group activities. (3) The fact that the actual small group inquiry activities did not reflect the characteristics of well-organized small group activities is due to a lack of knowledge on the teacher's part as to effective teaching strategies concerning cooperative learning. This study implies that gifted education teachers require the opportunity to reflect on and develop their knowledge and understanding of small group inquiry activities through professionally developed programs in order to maximize the effectiveness of small group inquiry activities in gifted education.

The Effect of Mathematics-Based Yungbokhap Instruction: An Analysis of Participation Structure in Small Group (수학 중심 융복합 수업에 대한 효과 분석: 학생 소집단 활동 참여구조를 기반으로)

  • Park, Mo Ra;Moon, Jong Eun;Ju, Mi-Kyung
    • School Mathematics
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    • v.17 no.2
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    • pp.355-376
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    • 2015
  • This study aims to inspect the effect of the yungbokhap education on the development of students' mathematical competence by analyzing students' mathematical discourse in math-based yungbokhap instruction designed by Moon(2014). Specifically, this research focused on the analysis of students' participation structure. The reuslts shows that the students' competence for mathematical communication and inquiry has been improved through the instruction. In particular, the students were increasingly engaged with consensual talk. Also, in the beginning stage, the students tended to unconditionally criticize for others' mathematical opinion. Through the class participation, they gradually developed the competence to express their mathematical ideas to their peers with reasonable mathematical bases. These results suggests that the mathematics-based yungbokhap instruction has positively contributed to the improvement of students' mathematical competence. Based on the results, this paper presented implications for mathematics-based yungbokhap instrcution.

Experience of Participation in Educational Community in Early Childhood Mathematics Education Using Storytelling and its Meaning (스토리텔링을 활용한 유아수학교육 교육공동체 참여경험과 그 의미)

  • Kim, Kyung-Eun
    • Journal of Convergence for Information Technology
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    • v.11 no.2
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    • pp.219-228
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    • 2021
  • The purpose of this study was to examine the experiences of participation in the educational community through cooperative relationships between early childhood teachers and researchers in early childhood mathematics education using storytelling, and to find out the meaning of those experiences. Reputable researchers began with the formation of the educational community on March 14, 2016, and continued until July 26, 2016, and collected transcripts of discussions of educational community meetings, reflective journal data of teachers and researchers, and transcript of individual interviews by teachers. As a result of the study, first, the experience of participating in the educational community in early childhood mathematics education using storytelling shared personal mathematics experiences and mathematical situations, understood and learned mathematics content knowledge through sharing, and communicated through the educational community. Second, looking at the meaning of the experience of participating in the early childhood mathematics education educational community using storytelling, learn together through mathematical errors and learn the direction of better instruction through sharing. Grown up as a teacher who enjoys the mathematics exploration process, and promoted joint practice through cooperation in early childhood mathematics education using storytelling.

An analysis of the current state of cross-curricular learning topics in mathematics textbooks for grades 5 and 6 (2015 개정 교육과정에 따른 5~6학년군 수학 검정 교과서의 범교과 학습 주제 반영 현황 분석)

  • Kim, Nam Gyun;Oh, Min Young;Kim, Su Ji;Kim, Young Jin;Lee, Yun Ki
    • Communications of Mathematical Education
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    • v.38 no.1
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    • pp.27-48
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    • 2024
  • In order to prepare for changes in future society, cross-curricular learning is emphasized, and the need to link cross-curricular learning topics and subjects is increasing. However, there are few studies on how to deal with cross-curricular learning in mathematics education. This study analyzed the contents and methods of cross-curricular learning topics in subject-specific curriculum and mathematics textbooks. As a result of the study, the curriculum can be categorized into four types according to the variety of cross-curricular learning topics applied and the presence or absence of a main cross-curricular learning topic, and the mathematics curriculum belongs to the type where some cross-curricular learning topics are dealt with passively and there is no main topic. On the other hand, the analysis of 10 math textbooks for grades 5 and 6 according to the 2015 revised curriculum showed that, unlike the curriculum, various cross-curricular learning topics were applied in the textbooks, mainly environment and sustainable development education, safety and health education, career education, character education, and economic and financial education. In addition, in mathematics textbooks, cross-curricular learning topics appeared in various types such as materials, questions, explanations, illustrations, and in many cases, they appeared mainly as materials or illustrations. Based on these findings, implications were explored and suggested on how to integrate and apply cross-curricular learning topics in mathematics.

Comprehensive Review of Research Publications on Gifted Education in Korea : 2003-2012 (한국 영재교육 연구의 현황 및 성과: 2003-2012)

  • Lee, Sang Hee;Choi, Sun Ill
    • Journal of Gifted/Talented Education
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    • v.25 no.6
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    • pp.881-904
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    • 2015
  • The purpose of this paper is to explore the future direction of research on gifted education through a literature review of dissertations and research reports, as well as an analysis of the trends and milestones achieved related to gifted education. The period from 2003 to 2012, from which the data for this literature review was collected, marks the ten-year period proposed by the Gifted Education Development Comprehensive Plan II and I. Data was collected through a search of the keyword "gifted" on Academic Naver and on Korea Education and Research Information Service (KERIS). Results showed 1,696 articles from 182 academic journals, 138 doctoral dissertations, 1,470 masters' dissertations, and 798 research reports from 75 institutions. For analysis, each article was classified by target of study, kind of giftedness, subject of study, and methods used for the study. Results from this literature review demonstrated that from 2003 to 2012, the articles from the 182 academic journals and the doctoral and masters' dissertations used quantitative research to analyze elementary and middle school students gifted in math and science as well as the curriculum and programs of their study. This paper provides recommendations for future research on gifted education within the country.

An Investigation on Chemistry Problem-Solving Strategy of Middle School Student (중학생의 화학 문제해결 전략 조사)

  • Noh, Tae-Hee;Jeon, Kyung-Moon
    • Journal of The Korean Association For Science Education
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    • v.17 no.1
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    • pp.75-83
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    • 1997
  • The purpose of this study was to determine the strategies that middle school students used in solving problems concerning density and solubility. These were compared in the aspects of problem contexts for 42 students of varying logical reasoning ability, spatial ability, and learning approach. A coding scheme used consists of five categories: reading & organization, production, errors, evaluation, and strategy. Students' protocols were analyzed after intercoder agreement had been established to be .95. The results were as follows: 1. Students had more difficulties in reading and organizing the problems in everyday contexts than in scientific contexts. Students at the concrete-operational stage and / or surface approach were more likely to have difficulties in reading and organizing the problems than those at the formal-operational stage and / or deep approach. 2. Students tended to split up the solubility problems into sub-problems and to solve the density problem in everyday contexts in random manner. These were significantly correlated with the test scores concerning logical reasoning ability, spatial ability, and learning approach at the .1 level of significance. 3. Major errors in solving the density problems were to disregard the given information or generated and to use inappropriate information. Many errors in solving the solubility problems were found to be executive errors. The strategy to use the information given appropriately was positively related to students' logical reasoning ability, spatial ability, and learning approach. 4. More evaluation strategies were found in everyday contexts. Their strategies to grasp the meaning of answers and to check the math were significantly related to students' logical reasoning ability. 5. Students used the random trial-and-error strategy more than the systematic strategy and the systematic trial-and-error strategy, especially in everyday contexts. The strategies used by the students were significantly related to students' logical reasoning ability, spatial ability, and learning approach.

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A study on mathematics books of Joseon Dynasty (조선시대 산서(算書) 연구 - 규장각 소장 산서 연구의 분석을 중심으로 -)

  • Lee, Sang-Gu;Lee, Jae-Hwa
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.1-19
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    • 2011
  • HPM(History and Pedagogy of Mathematics) become an important issue to us now. Study on old Korean mathematics books were made recently. We study mathematics books in Kyujanggak in this article. Horng Wann-Sheng 洪萬生, an math. historian and a member of editorial board of Historia Mathematica, visited Kyujanggak, the royal library of Joseon Dynasty. After his visit, he published a paper, "The first visit to mathematics books in Kyujanggak 奎章閣收藏算書初訪"(2008 Kyujanggak 32, p. 283-293). In his paper, he also raised several research problems on the history of Korean mathematics. In this paper, we analyze his paper "The first visit to mathematics books in Kyujanggak" and give some answers to those raised problems on Korean mathematics. Also we correct some misunderstanding of Horng on some facts. Especially, we make it clear that the author of SinJungSanSul(New Arithmetics 新訂算術) was not Lee Sang-Seol(李相卨), whom Horng considered as the author, but Lee Gyo-Seung(李敎承) through the correct translation of its preface and an article about its copyright lawsuit. And we added some pathways how Chinese mathematics books were imported by Joseon. We introduce the case of Hong Dae-Yong(洪大容) in detail.

A Critical Examination of Undefined Mathematical Terms Used in Elementary School Mathematics Textbooks of Korea (초등학교 수학 교과서에서 사용되는 무정의 용어 연구)

  • Park Kyosik;Yim Jaehoon
    • Journal of Educational Research in Mathematics
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    • v.15 no.2
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    • pp.197-213
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    • 2005
  • There are not a few mathematical terms used as the undefined terms in school mathematics. The purpose of this study is to investigate critically the undefined mathematical terms in elementary school mathematics textbooks of Korea. As the result, the following suggestions are proposed. Firstly, It is not proper to use the terms which mathematics curriculum does not allow to use in elementary school math as the undefined terms in elementary school mathematics textbooks. Secondly, everyday-based undefined terms must be defined in elementary school mathematics textbook if their mathematical meanings are different from their everyday-based meanings. Thirdly, we need to consider the consistency when we use the undefined terms in elementary school mathematics. Fourthly, undefined terms should be define newly when the contexts in which they are used are changed or expanded. Finally, in elementary school mathematics textbooks, it is needed to define some purely mathematical undefined terms that there is no evidence which shows students grasp well their meaning.

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A Study on the comparison of models for teaching the concept of function (함수개념 지도를 위한 모델 비교 연구)

  • Heo, Hae-Ja;Kim, Jong-Myung;Kim, Dong-Won
    • Journal for History of Mathematics
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    • v.24 no.4
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    • pp.97-118
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    • 2011
  • This study aimed finding effective models for the teaching the concept of function. We selected two models. One is discrete model which focuses on the 'corresponding relation of the elements of the sets(domain and range). The other is continuous model which focuses on the dependent relationship of the two variables connected in variable phenomenon. A vending machine model was used as a discrete model, and a water bucket model was used as a continuous model in our study. We taught 2 times about the concept of function using two models to the 60 students (7th grade, 2 classes) living in Taebak city, and tested it twice, after class and about 3 months later. A vending machine model was helpful in understanding the definition of function in the 7th grade math textbook. Also, it was helpful to making concept image and to recalling it. On the other hand, students who used the water bucket model had a difficultly in understanding the all independent variables of the domain corresponding to the dependent variables. But they excelled in tasks making formula expression and understanding changing situations.

Development of Game-type Learning Program for Multi-level Learning in Number and Operation Field (수.연산 영역의 수준별 학습을 위한 게임형 학습 프로그램 개발)

  • Lee, Jae-Mu;Jin, Young-Seok
    • Journal of Korea Game Society
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    • v.6 no.3
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    • pp.43-50
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    • 2006
  • This study is to develop a learning program supporting how to teach multi-level of students in number and operating field in the elementary school. Mathematics requires different teaching ways for various standards of student in the school. However, in most of elementary school teachers are having hard time giving the proper lesson for each student due to the lack of supplementary classes and the excessive numbers of students in a class. Thus this research provides "Game-type learning Program" and supports individual learning lessons to give each student an opportunity to form a correct concept of number and operation. This system sets up suitable steps for each student by checking their leaning progress and accomplishment. When a student has a trouble, can give a help or show specific things which could be related with the matter. As a result, students have got more interests in studying math, furthermore, actually, the help and giving a clue helped students a lot in settling the problems.

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