• 제목/요약/키워드: mathematical learning

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문제 해결력과 창의성 신장을 위한 메타인지 문제 개발 및 적용에 관한 연구 (A Study in the Matacognition Learning Method to Improve of the Problem-Solving Ability in Mathematics)

  • 윤주한;김웅회
    • 한국수학교육학회지시리즈A:수학교육
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    • 제39권2호
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    • pp.101-125
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    • 2000
  • Since the 1980\`s metacognition has been one of the core subjects in the studies on mathematical education, the purpose of this study is to examine and analyze the mathematical creativity, problem-solving ability, and beliefs of math of middle school using the metacognition learning method. The results of this study is as follows; the first, we found that the metacognition learning methods were more effective method than classic method to improve the creativity and the problem-solving ability in math.

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Case Studies of Developing Creativity through Integrating Algorithmic Teaching into Mathematical Activities

  • Peng Aihui
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제9권4호
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    • pp.341-350
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    • 2005
  • In this increasingly technological world, the creativity development has been highlighted much in many countries. In this paper, two mathematical activities with Chinese characteristics are presented to illustrate how to integrate algorithmic teaching into mathematical activities to develop students' creativity. Case studies show that the learning of algorithm can be transferred into creative learning when students construct their own algorithms in Logo environment rather than being indoctrinated the existing algorithms. Creativity development in different stages of mathematical activities and creativity development in programming are also discussed.

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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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Principles of Learning and the Mathematics Curriculum

  • Ediger, Marlow
    • 한국수학교육학회지시리즈A:수학교육
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    • 제23권2호
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    • pp.13-15
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    • 1985
  • There are selected principles of learning which need adequate emphasis in the mathematics curriculum. These include: 1. Pupils perceiving purpose in learning. 2. Learners being involved in the solving of problems. 3. Meaningful learning experiences being inherent in the mathematics curriculum. 4. Provision being made to guide each learner in achieving optimal gains in ongoing study.

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수학 교과에서 메타정의를 활성화하는 교수·학습 모델 개발 (A Study on the Development of a Mathematics Teaching and Learning Model for Meta-Affects Activation)

  • 손복은
    • East Asian mathematical journal
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    • 제38권4호
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    • pp.497-516
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    • 2022
  • In this study, we tried to devise a method to activate meta-affect in the aspect of supporting mathematics teaching and learning according to the need to find specific strategies and teaching and learning methods to activate learners' meta-affect in mathematics subjects, which are highly influenced by psychological factors. To this end, the definitional and conceptual elements of meta-affect which are the basis of this study, were identified from previous studies. Reflecting these factors, a teaching and learning model that activates meta-affect was devised, and a meta-affect activation strategy applied in the model was constructed. The mathematics teaching and learning model that activates meta-affect developed in this study was refined by verifying its suitability and convenience in the field through expert advice and application of actual mathematics classes. The developed model is meaningful in that it proposed a variety of practical teaching and learning methods that activate the meta-affect of learners in a mathematical learning situation.

인지발달에 근거를 둔 수학학습 유형 탐색

  • 박성태
    • 한국수학교육학회지시리즈A:수학교육
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    • 제34권1호
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    • pp.17-63
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    • 1995
  • The exploration of Mathematics-learningmodel on the basis of Cognitive development The purpose of this paper is to sequenctialize Mathematics-learning contents, and to explore teaching-learning model for mathematics, with on the basis of the theory of cognitive development and the period of condservation formation for children. The Specific topics are as follows: (1) Systemizing those theories of cognitive development which are related to Mathematics - learning for children. (2) Organizing a sequence of Mathematics - learning, on the basis of experimental research for the period of conservation formation for children. (3) Comparing the effects of 4 types of teaching - learning model, on the basis of inference activity and operational learning principle. $\circled1$ Induction-operation(IO) $\circled2$ Induction-explanation(IE) $\circled3$ Deduction-operation(DO) $\circled4$ Deduction-explanation(DE) The results of the subjects are as follows: (1) Cognitive development theory and Mathe-matics education. $\circled1$ Congnitive development can be achieved by constant space and Mathematics know-ledge is obtained by the interaction of experience and reason. $\circled2$ The stages of congnitive development for children form a hierarchical system, its function has a continuity and acts orderly. Therefore we need to apply cognitive development for children to teach mathematics systematically and orderly. (2) Sequence of mathematical concepts. $\circled1$ The learning effect of mathematical concepts occurs when this coincides with the period of conservation formation for children. $\circled2$ Mathematics Curriculum of Elementary Schools in Korea matches with the experimental research about the period of Piaget's conservation formation. (3) Exploration of a teaching-learning model for mathematics. $\circled1$ Mathematics learning is to be centered on learning by experience such as observation, operation, experiment and actual measurement. $\circled2$ Mathematical learning has better results in from inductional inference rather than deductional inference, and from operational inference rather than explanatory inference.

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Mobile-Learning에 의한 수학학습에서 학생들의 인식변화, 성취도, 및 성향에 대한 연구 (Students' Perspectives towards M-learning Achievement, and Disposition towards Mathematics Using a mobile phone)

  • 고상숙
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제23권3호
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    • pp.863-885
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    • 2009
  • 무선 인터넷 시대를 맞아 기기의 사용은 PC나 노트북 컴퓨터를 벗어나 휴대폰으로 확장되고 있다. 본 연구는 테크놀로지를 학습현장에 활용하는 방안의 일환으로 휴대폰을 기반으로 한 M-learning의 학습효과를 파악하고자 설계되었다. 그 동안 전통적인 학습환경이 면대면 학습위주였다면 이런 인터넷환경은 유비쿼터스적인 환경을 제공하므로 학습의 기회를 좀 더 많은 사람에게 저렴한 비용으로 제공할 수 있는 장점이 있다. 학생들의 폰강의 대한 인식은 유비쿼터스 환경, 요점정리, 저렴한 비용 등의 긍정적인 측면을 선호하였고 시간이 지남에 따라 폰강 학습을 통해 수학에 대한 성향이 향상되었으며 보충수업 반보다 성취도에서 유의미한 향상을 나타냈다.

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수학적 창의성의 요소와 창의성 개발을 위한 수업 모델 탐색 (A Study on the Factors of Mathematical Creativity and Teaching and Learning Models to Enhance Mathematical Creativity)

  • 이대현
    • 한국초등수학교육학회지
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    • 제16권1호
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    • pp.39-61
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    • 2012
  • 학교 교육을 통하여 창의적인 인간을 양성해야 한다는 요구가 계속되고 있다. 특히 2011 수학과 교육과정 개정에서는 수학적 창의성과 인성을 길러주는데 초점을 두고 있다. 이를 위해 교육 현장에서 학생들의 창의성 개발을 위한 구체적인 방안의 모색이 필요하다. 이에 본 연구에서는 수학적 창의성의 요소를 추출하고, 창의성 개발을 위한 수업 모델을 탐색해 보았다. 먼저, 수학적 창의성에서의 논점과 수학적 창의성의 요소를 인지적, 정의적, 태도적 측면으로 알아보았다. 이러한 요소들은 수학적 창의성 개발 수업에서 창의성 개발에 영향을 주는 요소이며, 창의성을 평가하는 요소가 될 것이다. 이러한 기저를 바탕으로 수학 학습에서 학생들의 수학적 창의성을 기를 수 있는 8가지 수학과 창의성 개발 수업 모델을 제시하였다. 8가지 수학적 창의성 개발을 위한 수업 모델은 수학의 특성과 최근에 강조되는 수학교육 이론 및 창의성 이론을 바탕으로 하였다.

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수학 교수·학습을 위한 '학교수학답사'의 개념 탐색 (A Study on School Mathematics Field Trips for Teaching & Learning Method in Mathematics Education)

  • 서보억
    • 한국수학교육학회지시리즈A:수학교육
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    • 제54권1호
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    • pp.31-47
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    • 2015
  • School Math Field Trips(SMFT) for School Mathematics can be defined as teaching and learning activity of mathematics going into the field of Korean history, culture, science and technology. This is a literature analysis study to systemize teaching and learning method of mathematics based on literature analysis and real SMFT activity. First, SMFT was introduced to improve cognitive affective and cultural-mathematical teaching and learning method of mathematics. Second, SMFT has three purposes of cognitive, affective and cultural-mathematical. Third, to conduct mathematical education activity the direction of teaching was set. Forth, the progressing way of developing material and SMFT was researched. Fifth, developing the evaluation standard of SMFT and evaluation method was suggested.

중학교 수학학습요소의 학교급간 이동에 대한 분석 (The Study on the Movement of Mathematics Contents among School Levels)

  • 서보억
    • East Asian mathematical journal
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    • 제35권4호
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    • pp.365-386
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    • 2019
  • This study was based on the analysis of changes in curriculum of elementary mathematics curriculum, and changes in curriculum of middle school and high school mathematics curriculum. The purpose of this study is to analyze the movement of learning contents among the school levels based on the middle school mathematics curriculum and to summarize the influence on the curriculum of middle school mathematics according to the movement of learning contents. The research conducted according to the purpose of this study is as follows. First, we analyzed the trends of mathematical contents between elementary and middle schools after the movement of ten mathematics curriculums. Second, we analyzed trends of learning factors after mobility and mobility between middle school and high school. Third, the characteristics of 'the contents of mutual movement based on middle school' and 'the contents deleted from middle school' were analyzed. The results of this study are expected to reflect on current and past curriculum and to give meaningful implications to the composition of new curriculum.