• 제목/요약/키워드: Mathematical Materials

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MathML을 이용한 수학교과 ICT활용 교육 개선방안 (An Improvement of Mathematics Course Using MathML in ICT Environment)

  • 홍은표;이수현
    • 정보교육학회논문지
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    • 제7권1호
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    • pp.11-26
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    • 2003
  • 웹의 장점을 활용하기 위한 수학교과 교수-학습 자료들은 이미 많이 개발되어 있으나 수학교과 자료에서 사용하는 수식이 대부분 수식 자체가 아닌 그림 형태로 표현되어 있어 수식의 계산이나 검색, 재사용 등 다양한 활용이 불가능하였다. 이를 극복하기 위하여 수식 표현을 위한 마크업 언어인 MathML이 개발되었다. 본 논문에서는 수학교과 ICT 활용 교육에서의 교재 개발, 교수-학습 도구 개발, 그리고 정보교환을 위해 MathML을 활용할 수 있는 방안을 제시한다. 교재 개발에 있어서 MathML을 이용하는 것은 수식의 수정을 편리하게 하고 재사용을 가능하게 한다. 그리고 MathML을 표준으로 사용하는 교수-학습 도구들은 수식과 수학적 개념간의 연결을 강하게 해 주고, 교사들이 이와 같은 도구들을 보다 쉽게 재구성하여 수업에 활용할 수 있도록 해 준다. MathML을 이용한 수식을 사용할 수 있는 게시판은 교사와 학생간의 정보 교환을 활발하게 하고, 이를 이용한 $\ulcorner$웹토론하기$\lrcorner$와 같은 다양한 형태의 ICT활용 수업을 가능하게 한다.

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범교과적 학습 내용을 수반하는 수학과 교수-학습 자료 - 원자력 에너지를 중심으로 - (Development of Teaching and Learning Mathematical Materials Including Cross-Curriculum Based Contents)

  • 황혜정;조성민
    • 한국수학교육학회지시리즈A:수학교육
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    • 제41권1호
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    • pp.19-34
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    • 2002
  • The 7th national mathematics curriculum lays emphasis on an interrelation of several subjects and a connection between mathematics and real life. In this reason, this study focuses on the enhancement of sound understanding nuclear energy which is one of important factor(concepts or contents) dealt with in the other subjects such as science, environment, social studies, etc.. Recently, even though it is insistent that nuclear energy be so important and request in the future society, there are still strong pro and cons regarding the use of it. In this study, teaching-and-learning materials were developed dealing with using nuclear energy, and consequently they might be used in math class for the purpose of enhancement of mathematical learning ability and of recognition on nuclear energy. In this study, Material 1 included a matter of the necessity for nuclear power plants using the ratio concept, and Material 2 did on a matter of the efficiency of nuclear energy and the unclear of nuclear power plants using ratio-graph, in the elementary and upper school mathematics. Material 3 focused on a matter of the principles of nuclear power plants using the properties of exponential law in high school mathematics. Ultimately, it is hoped in the study that more diverse instructional materials dealing with diverse situations inside and outside mathematics would be developed.

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수학적 선행경험이 산수학습에 미치는 인지적 효과 (Cognitive Effects of Mathematical Pre-experiences on Learning in Elementary School Mathematics)

  • 이명숙;전평국
    • 한국수학교육학회지시리즈A:수학교육
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    • 제31권2호
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    • pp.93-107
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    • 1992
  • The purpose of this study is to make out teaching-learning method for developing mathematical abilities of the 1st grade children in elementary school by investigating cognitive effects which mathematical pre-experiences given intentionally by teachers have on children's learning mathematics. The research questions for this purpose are as follows: In learning effects through mathematical pre-experiences given intentionally by teachers. 1) is there any differences between children with pre-experiences and children without them in Mathematics Achievement Test\ulcorner 2) is there any differences between children with pre-experiences and children without them in Transfer Test for learning effects\ulcorner For this study, a class with 41 children in H elementary school located in a Myon near Chong-ju was selected as an experimental group and a class with 43 children in G elementary school in the same Myon was selected as a control group. Nonequivalent Control Group Design of Quasi-Experimental Design was applied to this study. To give pre-experiences to the children in experimental group, their classroom was equipped with materials for pre-experiences, so children could always observe the materials and play with them. The materials were a round-clock on the wall, two pairs of scales, fifty dice, some small pebbles, two pairs of weight scales, two rulers on the wall, and various cards for playing games. Pre-experiences were given to the children repeatedly through games and observations during free time in the morning (00:20-09:00) and intervals between periods. There was a pretest for homogeneity of mathematics achievement between the two groups and were Mathematics Achievement Test (30 items) and Transfer Test (25 items) for learning effects as post-tests. The data were collected from the pretest on April 8 (control group), on April 11 (experimental group) and from the Mathematics Achievement Test and Transfer Test on July 15 (experimental group) and on July 16 (control group). T-test was used to analyze if there were any differences in the results of the test. The results of the analysis were as follows: (1) As the result of pretest, there was not a significance difference between the experimental group (M=17.10. SD=7.465) and the control group (M=16.31, SD=6.974) at p<.05 (p=0.632). (2) For the question 1. in the Mathematics Achievement Test, there was a significant difference between the experimental group (M=26.08, SD=4.827) and the control group (M=22.28. SD=5.913) at p<.01 (p=.003). (3) For the question 2. in the Transfer Test for learning effects. there was a significant difference between the experimental group (M=16.41, SD=5.800) and the control group (M=11.84, SD=4.815) at p<001, (p=.000). From the results of the analyses obtained in this study. the following conclusions can be drawn: First, mathematical pre-experiences given by teachers are effective in increasing mathematical achievement and transfer in learning mathematics. Second, games. observations, and experiments given intentionally by teachers can make children's mathematical experiences rich and various, and are effective in adjusting individual differences for the mathematical experiences obtained before they entered elementary schools. Third, it is necessary for teachers to give mathematical pre-experiences with close attention in order to stimulate children's mathematical interests and intellectual curiosity.

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실생활 중심의 교수-학습 자료 개발과 이를 활용한 수학 수업에 대한 학생들의 인식 변화 고찰 (The Development of Teaching-learning Materials based on Real life and the Investigation of Students's cognition change about Mathematics class using Developed materials)

  • 이신득;권혁진
    • 한국학교수학회논문집
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    • 제10권1호
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    • pp.45-69
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    • 2007
  • 21세기 지식 기반, 정보화 기반 사회는 수학을 단순히 적용하는 능력이 아닌 실생활이나 다른 교과 영역에서 수학적 지식을 사용하여 문제를 구성하고 해결하는 문제 해결력 등의 수학적 힘(Mathematical power)을 필요로 한다. 수학적 힘을 기르기 위해서는 수학의 기본 지식, 추론 능력, 문제 해결력, 수학적 아이디어의 표현 및 교환능력, 그리고 사고의 유연함, 인내, 흥미, 지적 호기심, 창의력을 길러 주는 다양한 교수 학습 방법이 필요하다. 본 연구에서는 다양한 학습 매체를 이용한 실생활 중심의 교수 학습 지도안을 개발하고 이를 통하여 학생들의 수업에 대한 반응과 수학에 대한 인식 변화를 분석하였다.

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테셀레이션 소재의 수학이야기 자료 개발 (Development of Mathematical Story Based on Tessellation)

  • 신현용
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제28권1호
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    • pp.57-63
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    • 2014
  • 근래에 음악이나 공학적 도구 활용 등을 활용한 수학학습용 스토리텔링 자료가 개발되어 소개되곤 한다. 미술 소재도 그러한 자료에 활용될 수 있다. 이 연구에서는 미술 특히 디자인 기법을 활용하는 수학이야기 자료를 개발한다.

수학영재교육을 위한 자발적 수학 동아리 운영 사례 분석 (An Application Case Study of Inventive Mathematical Club for Mathematics Talented students)

  • 서보억
    • 한국수학교육학회:학술대회논문집
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    • 한국수학교육학회 2010년도 제44회 전국수학교육연구대회
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    • pp.77-82
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    • 2010
  • This study assumes alternative character of the operation of gifted class in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. Second, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Third, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed.

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Mathematics Education for Gifted Students in Korea

  • Shin, Hyunyong;Han, Inki
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제4권2호
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    • pp.79-93
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    • 2000
  • The purpose of this article is to introduce the gifted education of mathematics in Korea. We first discuss what is going on in Korea for mathematics education for gifted students. The curriculums for the institutes for gifted education are mentioned. Some focus of this article is proposing some teaching materials that are actively utilizing many basic concents of cryptography and super-string theory, along with careful use of calculators and computers. Many of the materials haven been designed with problem-posing approach on through invoking the cognitive conflict.

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On increasing the homogeneity of the properties of epitaxial layers grown from the gas phase, taking into account natural convection and changes in the rate of chemical interaction between materials

  • Pankratov, E.L.
    • Advances in materials Research
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    • 제9권2호
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    • pp.155-170
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    • 2020
  • In this paper, using the recently introduced analytical approach for the analysis of mass and heat transfer during film growth in reactors for epitaxy from the gas phase, these processes are analyzed taking into account natural convection and the possibility of changing the rate of chemical interaction between reagents. As a result of the analysis, the conditions under which the homogeneity of the grown epitaxial layers increases with a change in the values of the parameters of the growth process are formulated.

수학 교과에서의 수행과제를 활용한 수업 방안 탐색 -백워드 이론을 기반으로- (An Investigation on the Mathematical Instruction Utilizing Performance Tasks according to the Backward Design)

  • 황혜정;박현주
    • 한국수학교육학회지시리즈A:수학교육
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    • 제55권1호
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    • pp.107-127
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    • 2016
  • The purpose of this study was to explore the possibility of mathematical instruction through performance task activities based on the The Backward Design, which was suggested at first by Wiggins & McTighe in 1998. The Design deals with a performance assessment task involving the whole objective and its entire content of a lesson. Based on the Backward Design, this study established the mathematical instructional materials, which deal with the concept of 'the sector' taught in middle school, with one large performance task including three small tasks. It is important that in the lesson students be guided to achieve the several learning goals by themselves through reasoning activities. For this purpose, a formal interview was carried out by the subject of three middle school mathematics teachers. As a result, in order to implement the instruction utilizing the performance tasks more efficiently in future, it is required that a large performance task should be selected or developed including the content or problem contexts to be relevant with the real-life challenging situations. In addition, to make students enhance reasoning skills, it is strongly requested that the tasks including the utilization of supplementary materials such as technological devices or manipulatives be dealt with in a lesson.

수학 문제중심학습(PBL)에서 융합적 사고력 신장 도모에 관한 의의 - 역사 소재를 중심으로- (The study on the Integrated Thinking Ability in Problem Based Learning Program Using Historical Materials in Mathematics)

  • 황혜정;허난
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제30권2호
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    • pp.161-178
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    • 2016
  • 창의 융합 능력은 교육과정 문서상에 새롭고 의미 있는 아이디어를 다양하고 풍부하게 산출할 수 있는 수학적 과제를 제공하여 학생의 창의적 사고를 촉진시키도록 하는 것이며, 또한 수학과 이외의 타 교과나 실생활의 지식, 기능, 경험을 연결 융합하여 새로운 지식, 기능, 경험을 생성하고 문제를 해결하게 하는 것으로 규정되고 있다(교육부, 2015). 이렇듯, 최근 교육의 변화를 반영하여 수학 지식의 일방적인 전달이 아닌 학습자 스스로 개념을 구성하고 능동적으로 발전시키는 데 초점을 두고 타 교과와의 연계를 통한 문제 상황 및 이로부터의 해결은 PBL(Problem Based Learning)이 이론이 추구하는 목적과 그 역할이 부합한다고 하겠다. 본고에서는 타교과와의 연계를 통한 융합적 사고력 요소 탐색을 위한 기초 연구로서, 역사 교과를 대상으로 수학 PBL의 수업 및 평가 활동을 통하여 수학개념에 관한 이해를 돈독히 하고, 이러한 두 교과의 연계를 통해 도달 가능한 융합적 사고력 요소를 마련하는데 중점을 두고자 한다. 또한, 역사 소재를 활용한 PBL 수업 진행을 위한 문제 및 이의 수업지도안을 마련하여 제시하고자 한다.