• 한국수학교육학회지시리즈E:수학교육논문집
• /
• 제5권
• /
• pp.523-523
• /
• 1997

Suppose that G is a group of permutations of a set ${\Omega}$. For a finite subset ${\gamma}$of${\Omega}$, the movement of ${\gamma}$ under the action of G is defined as move(${\gamma}$):=$max\limits_{g{\epsilon}G}|{\Gamma}^{g}{\backslash}{\Gamma}|$, and ${\gamma}$ will be said to have restricted movement if move(${\gamma}$)<|${\gamma}$|. Moreover if, for an infinite subset ${\gamma}$of${\Omega}$, the sets|{\Gamma}^{g}{\backslash}{\Gamma}| are finite and bounded as g runs over all elements of G, then we may define move(${\gamma}$)in the same way as for finite subsets. If move(${\gamma}$)${\leq}$m for all ${\gamma}$${\subseteq}$${\Omega}$, then G is said to have bounded movement and the movement of G move(G) is defined as the maximum of move(${\gamma}$) over all subsets ${\gamma}$ of ${\Omega}$. Having bounded movement is a very strong restriction on a group, but it is natural to ask just which permutation groups have bounded movement m. If move(G)=m then clearly we may assume that G has no fixed points is${\Omega}$, and with this assumption it was shown in [4, Theorem 1]that the number t of G=orbits is at most 2m-1, each G-orbit has length at most 3m, and moreover|${\Omega}$|${\leq}$3m+t-1${\leq}$5m-2. Moreover it has recently been shown by P. S. Kim, J. R. Cho and C. E. Praeger in [1] that essentially the only examples with as many as 2m-1 orbits are elementary abelian 2-groups, and by A. Gardiner, A. Mann and C. E. Praeger in [2,3]that essentially the only transitive examples in a set of maximal size, namely 3m, are groups of exponent 3. (The only exceptions to these general statements occur for small values of m and are known explicitly.) Motivated by these results, we would decide what role if any is played by primes other that 2 and 3 for describing the structure of groups of bounded movement.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제62권3호
• /
• pp.417-433
• /
• 2023

2022 개정 수학과 교육과정에서 '점의 이동'에 대한 성취기준이 신설되었다. 이에 본 연구는 핀란드 수학 교과서에 제시된 점의 이동에 대한 내용을 공간 방향의 요소인 방향, 이동 거리, 이동 경로를 기준으로 분석하였다. 연구 결과, 핀란드 수학 교과서에서는 방향의 경우, 여러 방향을 언어적 표현, 시각적 표현, 코드적 표현 등으로 다양하게 제시하였다. 이동 거리의 경우, 칸의 수, 길이, 걸음, 순서쌍, 비율 등을 이용하여 거리만큼 이동하거나 이동 거리를 비교하는 활동들을 제시하였다. 이동 경로의 경우, 비조건적 이동과 조건적 이동을 이용하여 지시에 따라 이동하기, 이동 경로 만들기, 이동 경로 찾기, 이동 경로 수정하기 등의 활동들을 제시하였다. 특히 점의 이동은 수와 연산, 변화와 관계 등 여러 수학과 내용 영역뿐만 아니라 프로그래밍 교육과도 연결이 가능하였다. 이러한 연구 결과를 토대로, 점의 이동에 대한 활동을 어떻게 구성할 수 있는지 정보를 제공하여 2022 개정 수학 교과서 개발에 도움이 되길 기대한다.

• 한국보육지원학회지
• /
• 제14권2호
• /
• pp.19-38
• /
• 2018

Objective: This study explores how pre-service teachers' knowledge changed in the field of movement education and the characteristics of the instruction they perceived during a 15-week course. Methods: The drawing of concept maps and interviews were used to discuss how pre-service teachers' knowledge changed and the characteristics of the course. Results: The results showed that the pre-service teachers interrelated concepts in a more systematic way, and the concepts they used were increased while master concepts were decreased, indicating that their knowledge changed in a far more hierarchical order after the class. Characteristics of the course that led to a change in their knowledge appeared under the proper guidance of a professor. This was well demonstrated by feedback and evaluation at the stage of planning instruction and simulation teaching. Conclusion/Implications: The study demonstrated that the proper guidance of a professor was a useful tool for fostering the professional development of pre-service teachers in regard to constructing knowledge in movement education.

• 한국초등과학교육학회지:초등과학교육
• /
• 제33권1호
• /
• pp.181-194
• /
• 2014

The purpose of this study was to analyze the difference between eye movements according to science achievement of elementary school students on measuring tasks. Science achievement was graded by the results of Korea national achievement test conducted in 2012. As an assessment tool to check measuring task, two measuring measure problems from TSPS(Test of Science Process Skill; developed in 1994) which were suitable for eye tracking system were adopted. The subjects of this study were 3 underachievers and 3 overachievers from 6th grade who agreed to participate in the research. SMI was used to collect EMD (eye movement data). Experiment 3.2 and BeGaze 3.2 programs were used to plan experiment and analyze EMD. As a result, eye movements of participants in measuring task did not show the path to the common gaze by groups. To solve the problem of using specific measuring strategies related to the correct answer. Underachiever who failed in measuring tasks don't have enough measurement capabilities and lack eye movement through the area of interest for cognitive thinking. These results show that elementary school science curriculum dealing with measuring have to reflect a lot of step-by-step learning requires.

• 한국초등과학교육학회지:초등과학교육
• /
• 제31권3호
• /
• pp.386-397
• /
• 2012

The purpose of this study was to find a way to improve the science textbook graph through analyzing teachers' interpretation process with eye movement tracking when they try to read the science textbook graph. Participants in this project were 10 elementary school teachers while bar graphs, line graphs, pie charts in 2007 revision science textbooks were used as materials. SMI (SensoMotoric Instruments)' iView X TM RED 120 Hz was used in order to collect eye movement data. Although subjects paid attention to the title of the graph at first, the consequence of the eye fixation was changed by the composition of the graph in case of the rest of areas. In particular, the flow of visual attention and fixation time were affected by the form and configuration of the graph. The diversity of graph construction caused confusion in interpreting graphs; the manner of presenting title, the difference of background colors, size of characters, the name of X-axis and Y-axis. Out results showed that the conformation of graphs as well as the presentation of each factor should be composed in accordance with the educational purpose for helping users to easier understanding.

• 한국초등과학교육학회지:초등과학교육
• /
• 제32권2호
• /
• pp.185-197
• /
• 2013

The purpose of this study was to analyze the difference between eye movements according to science achievement of elementary school students in observation situation. Science achievement was based on the results of national achievement test conducted in 2012, a random sampling of classes. As an assessment tool to check observation test, two observation measure problems from TSPS (Test of Science Process Skill; developed in 1994) suitable for eye tracking system are adopted. The subjects of this study were twenty students of sixth grade who agreed to participate in the research. SMI (SensoMotoric Instruments)' iView $X^{TM}$ RED was used to collect eye movement data and Experiment 3.1 and BeGaze 3.1 program were used to plan and analyze experiment. As a result, eye movements in observation test varied greatly in fixation duration, frequency, saccade, saccade velocity and eye blink according to students' science achievement. Based on the result of eye movements analysis, heuristic search eye movement was discussed as an alternative to improve underachievers' science achievement.

• 한국과학교육학회지
• /
• 제24권1호
• /
• pp.129-145
• /
• 2004

Since science was first taught in schools, maybe during the 18th century, school science education has experienced many substantial changes in its goals and nature over the period. The historical changes are usually referred to by some key terms, like, mechanics' institutes, object lessons, heuristics, general science, inquiry, STS, misconceptions. To characterize these changes, science educators frequently use some slogan-like analogies, referring to parts of the human body to indicate the movement of science education during a particular period of time: for example, 'Hands-On' for inquiry movement during 1960s-70s, 'Minds-On' for constructivist movement during 1980s-90s. In this paper, we briefly summarize the overall historical development of science education in Britain, then further expand the analogies to cover the overall process, that is, Ears-On ${\to}$ Eyes-On ${\to}$ Hands-On ${\to}$ Minds-On. To illustrate future directions of the 21st century, we propose a new analogy, 'Hearts-On', and also discuss the meanings and implications of a 'Hearts-On' analogy by illustrating how this new paradigm can be applied to reflect various current trends of science education, particularly in Korea. In addition, a parallel historical change between school science and science museums & centres is discussed.

• 디지털융복합연구
• /
• 제17권11호
• /
• pp.483-492
• /
• 2019

정부의 메이커 운동(Maker Movement) 형성을 위한 적극적인 정책과 지원으로 관련 문화와 교육이 매우 활성화되고 있다. 본 연구는 최근 증가하고 있는 국내 메이커 운동의 교육 분야의 현황을 파악하고, 긍정적인 방향의 발전을 위한 메이커 교육 활성화 방안을 제안하는데 목적이 있다. 이를 위하여 첫째, 기존의 메이커 교육 운영자와 참여자를 대상으로 하는 심층 인터뷰를 통해 국내 메이커 교육의 현황과 문제점을 도출한다. 둘째, 인터뷰 스크립트 내용을 기반으로 질적 조사 분석 프로그램(NVIVO)을 통한 키워드 분석과 그 특징을 파악한다. 셋째, 분석 결과를 토대로 국내 메이커 교육의 활성화를 위한 방안과 발전 방향을 제안한다. 메이커 교육을 실행한 교육자와 참여한 학생을 기준으로 분석했을 때, 교육의 전문성을 위해 전문 메이커 교사가 필요했고, 참여한 학생들의 메이커 채널 확장과 전문적인 네트워킹이 요구되었다. 또한, 메이커 교육의 특성을 반영한 전문 프로그램과 적절한 정책 지원이 필요했다. 본 연구는 향후 메이커 교육을 위한 구체적인 지원 방식 및 관련 교육자 양성과 교육 환경 등의 개선에 도움을 주어 메이커 운동의 주요 분야인 메이커 교육의 활성화에 기여하고자 한다.

• 한국과학교육학회지
• /
• 제14권3호
• /
• pp.293-303
• /
• 1994

The purpose of this study was to find the effect of molecular movement model based instruction on high school students' conceptions of diffusion and osmosis. The study was composed of two groups, the traditional instruction group in which the so-called traditional instruction was performed, and the other group in which interventions by researchers were made. The subjects of the traditional instruction group consisted of a total of 242 high school students from Seoul, Gwangju and Mokpo. The subjects of the model based instruction group consisted of 177 first-year high school students in Mokpo. The study was focused on the use of the term of 'molecular movement' in their explanation of diffusion and osmosis in the correct contexts. In general, students who got the molecular movement model based instruction showed more frequent use of the terms of 'molecular movement' in the correct contexts than the control group students did. It was found that misconceptions including teleological explanations changed into scientific explanations by the intervention. It seemed that the molecular movement model led students to make scientific explanations on natural phenomena. A further research is recommended to assess the improvement of teleological explanation and scientific attitude by the molecular movement model.

• 한국지구과학회지
• /
• 제27권7호
• /
• pp.730-744
• /
• 2006

The United States curriculum reform movement has recently started in each area of science education. The initiatives on curriculum reform stem from a notion that the low rate of science curricula offered in schools has been a serious problem. The schools in the United States are not only facing a lack of offerings within science curricula but also low enrollment in science courses, especially in physics, chemistry, and earth science. This trend resulted in low performances on international achievement tests including TIMSS and PISA. This paper introduces the efforts to solve existing problems through curriculum reform; including ChemCom, BioCom, EarthComm, and Active Physics. In this paper, a discussion is presented to show how the curricula can help address the status quo in science education. More specifically, this paper focuses on curriculum reform in high school earth science (EarthComm), providing a closer look at the scope and sequence of the reform movement. EarthComm was chosen because it was released based on the development of the National Science Education Standards (NRC, 1996). Consequently, EarthComm became a curriculum that espoused the visions of the Standards, which has been guiding the reform of the US curriculum. At the end of this paper, two research outcomes of the EarthComm curriculum implementation in schools are discussed in terms of student learning and differences from conventional curricula.