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An Analytic Study of Mathematical Problem-Posing Activities for Two-hour Classes - Focusing on 3rd Grade Elementary School Children - (연차시 수업을 통한 수학 문제 만들기 활동 분석 연구 - 초등학교 3학년을 중심으로 -)

  • Shin, Su-Jin;Lim, Mun-Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.1
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    • pp.43-64
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    • 2010
  • This study aimed to foster the learning abilities of mathematics, that is, along with the formation of a sure mathematical concept, extending the powers of doing mathematics, and bringing the creativities for 3rd grade elementary school children. In order to achieve these objects, we have executed mathematical classes for two consecutive hours of 16 times using the teaching model of [Learning contents in textbook]$\rightarrow$[The first problem Posing]$\rightarrow$[Problem solving to childrens' posing some problems]$\rightarrow$[Advanced problem posing] to 3rd grade school children during the first semester of 2009. In this paper, we analyzed problems that are made by children focusing on the four fundamental rules +, -, ${\times}$, $\div$ of arithmetic, with the view points of problem's completion, fluencies, flexibilities, buildings of concept, originalities and using materials. As a result of the comparative analysis of the first problems and advanced problems made by the children, the first problems were revealed to be rather better in of problem's completion and fluencies. And the flexibilities were improved in the division and multiplication classes carried on. Setting up the experimental and comparative class, we compared to the scholastic achievement of two classes for the beginning and end in the first semester. In the result, the former was improved in the scholastic achievement more than the latter.

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An Analysis And Criticism on Mathematics Terminologies Used in Elementary School Mathematics: Focused on Some Examples (우리나라 초등학교 수학용어의 분석과 비판: 몇 가지 예를 중심으로)

  • Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.1
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    • pp.1-17
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    • 2013
  • In this paper, firstly, 'value', 'vertices', 'height' are discussed, which are used in the multiple contexts. Then 'sketch', 'mental math', 'zero point oneth place/zero point zero oneth place/zero point zereo zero oneth place', 'number of place', 'natural number part/decimal part' are discussed, which are not used consistently. Finally, middle school mathematics terms 'distance', 'number line', 'the value of the expression' are discussed which are used in elementary school mathematics textbooks/workbooks. From these discussions, the following four suggestions are proposed as conclusions. First, as a mathematical term 'value' and 'distance' should be emphasized. As 'distance' is a middle school term, there is a need to consider the 'height' as 'the length of the line segment' instead of 'distance'. Second, 'number of place' which can be replaced with other suitable term, 'the value of the expression' including 'value of $20{\times}4$', 'natural number part/decimal part', 'vertex of pyramid/vertex of cone', 'mental math' should not be used. Third, there is a need to consider the use of 'mixed decimal' and 'proper decimal'. In addition, there is a need to expand the use of 'sketch'. Fourth, there is a need to consider the confirmation of 'number line' as an elementary school mathematics term. In addition, there is a need to consider to specify that 'decimal first place', 'decimal second place', 'decimal third place' can be used equivalently with 'zero point oneth place', 'zero point zero oneth place', 'zero point zereo zero oneth place' respectively.

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The Effect of Observing Material on the Phase Change of Moon Considering the Orbits of Earth and Moon (지구와 달의 공전궤도를 고려한 달의 위상 변화 관찰 교구의 효과)

  • Park, Ji-Hyun;Hyun, Dong-Geul;Shin, Ae-Kyung
    • Journal of the Korean Society of Earth Science Education
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    • v.9 no.3
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    • pp.323-340
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    • 2016
  • The purpose of this study is to investigate the effect of observing material on the phase change of moon considering the orbits of earth and moon for elementary school students. For this study, the material which shows the orbit of moon tilted at $5^{\circ}$ with the orbit of earth is developed. 110 6th grade students in an elementary school are sampled. They are divided into the experimental group and the control group. The lessons using the material developed in this study are implemented to the experimental group, and the lessons using the material proposed in ordinary textbook are implemented to the control group. The pre, post, delayed concept tests on the phase change of moon are administered to the students of the experimental group and the control group, and semi-structured interviews are conducted for each concept level. According to students' responses, the concept levels are divided into 'Phase recognition', 'Space viewpoint', 'Earth viewpoint', and 'No recognition'. The experimental group and the control group are homogeneous in the pre-test. The result of this study shows that the experimental group gains significantly more scores than the control group in the post and delayed tests. Also, in the post and delayed tests, more students of the experimental group are in the highest level 'Phase recognition' than the control group. Finally, students of the experimental group who were in the 'Phase recognition' and 'Space viewpoint' explain more scientifically than the students of the control group. Therefore the results of this study show that the observing material on the phase change of moon considering the orbits of earth and moon is effective.

Analysis of Exam Trend of Earth Science Education in the Secondary-school Teacher Employment Test (중등교사임용시험 지구과학 교과교육학 출제동향 및 개선방안 분석)

  • Kwak, Youngsun
    • Journal of the Korean Society of Earth Science Education
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    • v.11 no.2
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    • pp.78-89
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    • 2018
  • The purpose of this study is to explore ways to improve developing exam questions for Earth science education by analyzing exam trend of Earth science education in the secondary-school teacher employment test (TET, hereafter). For this purpose, we developed an analysis framework to analyze items of Earth science education in the secondary-school TET, and this analysis framework covers required courses for 'theory of Earth science education' of 'Earth science teaching certificate courses'. The analysis framework consists of big categories, assessment domains, and assessment components. We divided system changes in secondary-school TET into 4 types, and analyzed exams of 2014-2018 school year, which is the existing exam system. According to the results, 22-24 points out of 80 have been allotted to Earth science education. Among assessment domains, Earth science Teaching & Learning domain has taken the highest percentage of scores and item numbers, followed by Earth science inquiry, history & philosophy of science, etc. For each domain, we analyzed exam tendencies in detail. Based the results, we suggested ways to improve developing exam questions for Earth science education in the secondary-school TET, and ways to improve curriculum for Earth science education in the teacher education program.

Analysis of the Algebraic Thinking Factors and Search for the Direction of Its Learning and Teaching (대수의 사고 요소 분석 및 학습-지도 방안의 탐색)

  • Woo, Jeong-Ho;Kim, Sung-Joon
    • Journal of Educational Research in Mathematics
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    • v.17 no.4
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    • pp.453-475
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    • 2007
  • School algebra starts with introducing algebraic expressions which have been one of the cognitive obstacles to the students in the transfer from arithmetic to algebra. In the recent studies on the teaching school algebra, algebraic thinking is getting much more attention together with algebraic expressions. In this paper, we examined the processes of the transfer from arithmetic to algebra and ways for teaching early algebra through algebraic thinking factors. Issues about algebraic thinking have continued since 1980's. But the theoretic foundations for algebraic thinking have not been founded in the previous studies. In this paper, we analyzed the algebraic thinking in school algebra from historico-genetic, epistemological, and symbolic-linguistic points of view, and identified algebraic thinking factors, i.e. the principle of permanence of formal laws, the concept of variable, quantitative reasoning, algebraic interpretation - constructing algebraic expressions, trans formational reasoning - changing algebraic expressions, operational senses - operating algebraic expressions, substitution, etc. We also identified these algebraic thinking factors through analyzing mathematics textbooks of elementary and middle school, and showed the middle school students' low achievement relating to these factors through the algebraic thinking ability test. Based upon these analyses, we argued that the readiness for algebra learning should be made through the processes including algebraic thinking factors in the elementary school and that the transfer from arithmetic to algebra should be accomplished naturally through the pre-algebra course. And we searched for alternative ways to improve algebra curriculums, emphasizing algebraic thinking factors. In summary, we identified the problems of school algebra relating to the transfer from arithmetic to algebra with the problem of teaching algebraic thinking and analyzed the algebraic thinking factors of school algebra, and searched for alternative ways for improving the transfer from arithmetic to algebra and the teaching of early algebra.

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Potential Use of 3D Course Material as a Pedagogical Tool for Laboratory Courses with respect to Assembly/Disassembly of the Combustion Chamber in Vocational High Schools (항공고등학교 실습교육에서 연소실 분해 조립을 중심으로 고찰한 3D 학습 자료의 활용 방안)

  • Lee, Tae-gyoon;Kim, Jong-Seong
    • Journal of Internet Computing and Services
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    • v.17 no.3
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    • pp.33-43
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    • 2016
  • In this study, 3D-image based course material has been suggested as a potential pedagogical tool for laboratory courses for aviational maintenance in vocational high schools. With a special focus on assembly/disassembly of the combustion chamber, 3D contents described here are created by Soildworks 2014 based on the textbook widely used in aviational high schools. By analyzing several textbooks currently adopted at various schools, we have clearly shown that the current text-based teaching method is far from being effective regarding providing adequate learning environment for high school students who study aviational maintenance. From the analysis of the conventional textbooks, it is seen that it is urgent that we should come up with more effective and efficient way of teaching methods for these topics at vocational high schools. Using Solidworks, we have developed very vivid 3D image-based course material for topics related to a combustion chamber in the airplane. Newly developed 3D material is seen to clearly show step by step procedures of assembly and disassembly of the combustion chamber which has crucial importance in the aviational laboratory courses. Especially the transparent feature in Solidworks could make it possible to observe the parts covered by outer casing, which can not be seen even in any laboratory class with real objects. 3D animated views could provided unprecedented learning environment for students to acquire core knowledge with ease for the maintenance of a combustion chamber. In order to provide easy access for students to this 3D-based course material, the exclusive viewer is also developed using MS office powerpoint 2007. An example of a learning plan using 3d course material is suggested as well.

The Development of a Math-Friendly Activity Program for the Alleviation of Mathematics Anxiety (수학불안 감소를 위한 수학 친화적 활동 프로그램 개발)

  • Yoon, Rak-Kyeong;Jeon, In-Ho
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.583-613
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    • 2010
  • Mathematics anxiety is likely to be a drag on mathematics learning if that is left alone, and it is important to grasp the cause of mathematics anxiety and devise how to get rid of it. The purpose of this study was to examine the cause of mathematics anxiety among elementary school children, to develop a math-friendly activity program geared toward easing mathematics anxiety and to check the effect of the developed program on the alleviation of mathematics anxiety. The subjects in this study were 32 students in a fourth-grade class in I elementary school located in Dongdaemoon-gu, Seoul. A math-friendly activity program was designed to alleviate the mathematics anxiety of the five subfactors-test anxiety, time constraints, comprehension, learning motivation and parent attitude-on which the students scored higher than their pretest collective averages. The mathematics anxiety pretest data, the objectives and content system of the current 7th national mathematics curriculum and the mathematics textbooks for 4-A and 4-B were analyzed to develop the math-friendly activity program that consisted of psychological remedy (positive thinking training) and non-psychological remedy (mathematics activities). After the program was implemented, we analyze the pretest and posttest mathematics anxiety data to determine the effect of the program. As a result, the collective averages of every student on math anxiety and its subfactors were lower in the posttest than in the pretest.

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The Effects of Concept Sketches on the Understanding and Attitude in High School Student's learning of Weather Change (날씨 변화 학습에서 개념스케치 활용이 고등학생의 개념 이해도와 과학 태도에 미치는 영향)

  • Shin, Hyun Young;Kim, Hak Sung;Sohn, Jungjoo
    • Journal of Science Education
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    • v.34 no.1
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    • pp.12-22
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    • 2010
  • The purpose of this study was to investigate the effect of concept sketches on the understanding and scientific attitude in high school student's learning of weather change. Among the various fields of meteorology, especially in weather change, we often deal with the change of the spatiotemporal change in an abstract way. So making use of 'Concept Sketches'- simplified sketches which represent the main features, principles, processes and interrelationships of the learning contents using some concise explanations, signs and terms - could help the students learn the phenomena of weather change efficiently. This study's aim was to check up the effect and analyze the results of the lesson including the concept sketches. As a result of this study, concept sketches group showed significant improvement compared to the other groups in understanding of weather change and in scientific attitude, too. In students' recognition research of concept sketches showed that students found the class more interesting with improved concentration and had a chance to review through concept sketching, which is helpful for their learning. Considering the above research results, the study which applies concept sketching required the students to actively process their knowledge, and had a positive effect on the understanding of weather changes. Most of all, drawing the pictures which is a familiar activity helped the students to take part in the class eagerly.

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The Effect of Science-centered STEAM Program on Science Positive Experience: Focused on the "Earth and Moon" Unit In Elementary School Science (과학중심 STEAM 프로그램이 과학긍정 경험에 미치는 효과: 초등학교 과학 "지구와 달" 단원을 중심으로)

  • Mun, Juyoung;Shin, Youngjoon
    • Journal of Science Education
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    • v.42 no.2
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    • pp.214-229
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    • 2018
  • The purpose of this study was to investigate the effect of science-based STEAM program on the positive science experience of elementary school students. The participants of this study were 64 fourth graders of S elementary school located in Gyeonggi-do. They were divided into the experimental group of 30 students and the comparative group of 34 students. The program was reorganized into the STEAM program, which emphasized communication with students in the second semester of 4th grade, centered on 'Earth and Moon' unit which were carried out in total 16 times. The experimental group was giving the science-centered STEAM program, and the comparative group was giving the general instruction model based on the instructional book guidelines. The results of the study are as follows. The science-centered STEAM program showed a further influence on the positive science experience of elementary school students. Based on these results, it can be confirmed that the class using the science-centered STEAM program positively influenced the improvement of students' positive science experience.

Effects of Sex Education Program related to the Unit of Reproduction and Development on Middle School Boys' Sex-related Knowledge and Attitude towards Sex (생식과 발생 단원과 연계한 성교육 프로그램이 중학교 남학생들의 성지식 및 성태도에 미치는 영향)

  • Kim, Sun Young;Park, Su Bin
    • Journal of Science Education
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    • v.42 no.2
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    • pp.148-164
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    • 2018
  • This study developed the sex education program based on the 'reproduction and development' unit of the middle school science, and examined its effectiveness on middle school boys' sex-related knowledge and attitude towards sex. The sex education program consisted of six topics of the structures and functions of generative organs, the importance of life, abortion, the human generation process, venereal diseases and AIDS, and responsibility of self-determination on sexual behavior. The results indicated that the experimental group demonstrated the statistically higher scores of the knowledge on sex than the control groups' scores, especially in the subcategories of 'pregnancy and delivery' and 'sex-related health'. However, both groups did not display any statistical difference on the attitude toward sex. In the subcategory of the attitude towards sex, the experimental group showed the statistically higher scores on 'self-determination and selection' and 'a health relationship'. In addition, the Pearson correlation results indicated the strongest relationship between the attitude toward sex and 'the self-determination and selection'. These results implicated that the sex education program related to the unit of reproduction and development in the middle school science helps the middle school boys develop the better knowledge and attitude towards sex.