• Title/Summary/Keyword: 초등 수학 수업연구

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Evaluation of a Gifted Education Program for Mathematically Gifted Children in Seoul Area (초등 수학 영재 프로그램 평가 - 서울시 A 교육청 평가 사례를 중심으로 -)

  • Jeong, Soo Ji;Kim, Min Kyeong
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.149-168
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    • 2014
  • Growing in its size, the contents of the teaching-learning programs for mathematically gifted children from A program in Seoul Metropolitan Office of Education were examined in terms of the individual subjects provided through the courses of gifted education programs, and it was evaluated based on the revised version of the existing module. As a result, the educational objectives of teaching-learning program were clear, differentiated and obtainable. Among the program, the advanced parts were more than the selective parts, which mainly consisted of numbers and calculation, shapes, regularity and problem solving parts and had latest contents of research in balance. Additionally, every part of the program needs mathematical and creative thinking and approach and has proper evaluation index for problem solving. The presented materials in the programs are specific and appropriate, though some of them did not suggest the evaluation index for cultivating personality and value clearly and the reference books. The teaching-learning programs were focusing on problem-based learning and cooperative learning and using performance assessment for evaluation.

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An Analysis on the Problem Solving of Korean and American 3rd Grade Students in the Addition and Subtraction with Natural Numbers (한국과 미국 초등학교 3학년 학생들의 자연수 덧셈과 뺄셈 문제해결 분석)

  • Lee, Dae Hyun
    • Education of Primary School Mathematics
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    • v.19 no.3
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    • pp.177-191
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    • 2016
  • Students can calculate the addition and subtraction problem using informal knowledge before receiving the formal instruction. Recently, the value that a computation lesson focus on the understanding and developing the various strategies is highlighted by curriculum developers as well as in reports. Ideally, a educational setting and classroom culture reflected students' learning and problem solving strategies. So, this paper analyzed the similarity and difference with respect to the numeric sentence and word problem in the addition and subtraction. The subjects for the study were 100 third-grade Korean students and 68 third-grade American students. Researcher developed the questionnaire in the addition and subtraction and used it for the survey. The following results have been drawn from this study. The computational ability of Korean students was higher than that of American students in both the numeric sentence and word problem. And it was revealed the differences of the strategies which were used problem solving process. Korean students tended to use algorithms and numbers' characters and relations, but American students tended to use the drawings and algorithms with drawings.

How do Korean Elementary Textbooks Pace Students' Learning to Learning Trajectories? : Focus on Area and Volume (초등학교 수학교과서 속 과제의 학습 경로 분석: 넓이와 부피를 중심으로)

  • Ko, Eun-Sung;Lee, Eun Jung;Hwang, Jihyun
    • Journal of Educational Research in Mathematics
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    • v.27 no.2
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    • pp.207-225
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    • 2017
  • With a significant role of textbooks in shaping students' opportunities to learn, textbook analysis is essential to reveal these opportunities to learn the concept of area and volume. This research aims to show how the Korean textbooks pace students' learning of area and volume across grades by scrutinizing the textbooks with students' developmental sequences, called learning trajectories. Tasks about area and volume in all Korean elementary textbooks (grade 1 to 6) are coded with the specific developmental stages suggested in learning trajectories. As a result, we find considerable misalignment between the textbooks and the learning trajectories. The textbooks provide opportunities to experience developmental progressions of area and volume later than ages suggested in the learning trajectories. In addition, learning opportunities are significantly concentrated in grade 5 for area and grade 6 for volume with heavy emphases on applying formulas of area or volume. The findings from this research provides important implications concerning design of textbooks as well as improving students' opportunities in the mathematics classrooms.

A Study on Teaching of Ratio Graph based on Realistic Mathematics Education (현실주의 수학교육론에 근거한 비율그래프 지도에 관한 연구)

  • Yoon, Jae-Hoon;Ryu, Sung-Rim
    • Education of Primary School Mathematics
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    • v.11 no.1
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    • pp.39-57
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    • 2008
  • The purpose of this study is to affirm what influences the lessons applied by reorganizing the ratio-graph unit of level 6-A on the basis on Realistic Mathematics Education(RME) give on mathematical scholastic achievements and mathematical preferences.In order to achieve the purpose of this study, the experimental study was exerted by making two classes of 6 grades in J elementary school located in Gumi city, Gyeongbuk province as subjects. In this study, test of degree of the mathematics learning ability of student, multiple-choice test and descriptive test of the learning dispositions of student were exerted and the results were t-test officially. The results and the conclusions of this study were as follows: First, the results acquired by officially t-test the levels of the mathematics learning ability of student of the group taught by lessons according to the teaching materials reorganized on the basis of RME and the group taught by lessons according to the 7th curriculum show a meaningful difference(p=.007). This means that the lessons according to the teaching materials reorganized on the basis of RME showed meaningful influences on the improvement of degree of the mathematics learning ability of student. Second, the results acquired by officially t-test the learning dispositions of student multiple-choice test of the group taught by lessons according to the teaching materials reorganized on the basis of RME and the group taught by lessons according to the 7th curriculum show a meaningful difference. Especially in the factors of 'mathematical will'(p=.017) and 'mathematical value'(p=.029) were meaningful differences. Also in the descriptive test of the learning dispositions of student, the experimental class showed that it had the potential possibility to have more positive attitudes meaningfully in comparison with the compared class. This means that the lessons according to the teaching materials reorganized on the basis of RME showed meaningful influences on the learning dispositions of student.

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Reconstructing Mathematics Education for Social Justice from a Critical Race Perspective (사회 정의를 위한 수학 교육의 원리와 방법 탐색: 비판적 인종 이론을 중심으로)

  • Kim, Rina
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.3
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    • pp.289-303
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    • 2019
  • The aim of this study was to seek for the purpose of social justice of mathematics education based on the understating of a critical race perspectives. This paper is consisted of two parts. First, I analyzed literatures of mathematics education for social justice in order to understand the discussions and concerns related to the topic. Second, I used the selected tenets of critical race theory to examine mathematics education for social justice scholarship. From the analysis, I concluded the current capacity of mathematics education for social justice toward addressing race issues in a mathematics classroom.

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A Survey on the 3rd and 4th Grade Teachers' Perception and Teaching Practices towards Open-ended Question in the Elementary Mathematics Textbook (초등학교 3, 4학년 수학 교과서의 '열린 질문'에 대한 교사들의 인식 및 지도 실태 조사)

  • Park, Jeong-Ryun;Hong, Gap-Ju
    • School Mathematics
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    • v.13 no.2
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    • pp.245-266
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    • 2011
  • In this study, we surveyed on the 3rd and 4th grade teachers' perception and teaching practices towards open-ended question in the elementary mathematics textbook in the revised 7th curriculum. According to the result, teachers understood the purpose of open-ended question in general, but they recognized some problems in terms of open-ended question itself, difficulties found when they dealt with open-ended question in their classes, teacher's guide and teacher training. This research suggests ways of improvement of open-ended question on the basis of the survey results.

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Reconsideration of the Change in the Past Korean Elementary Mathematics Curriculums -In the View of Ernest's Philosophy of Mathematics Education- (우리나라 초등학교 수학과 교육과정의 변화 경향 재고 -Ernest의 수학교육철학적 관점에서-)

  • 백석윤;이명희
    • School Mathematics
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    • v.5 no.2
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    • pp.151-165
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    • 2003
  • So far there have been intermittently quantitative and syntactic analyses of the past elementary mathematics curriculums to comprehend elementary mathematics education in Korea. However, we think we also need qualitative and semantic analyses to comprehend and examine the past elementary mathematics curriculums exactly and so to look out on our future elementary mathematics education. Generally, school mathematics curriculum reflects both the philosophical aspects of mathematics itself that form the background of the philosophy of mathematics education and the sociological aspects in real mathematics class that could be the output of the curriculum. With this view, the logic of the social constructivism can be an appropriate way that leads mathematical philosophical analysis and sociological analysis in mathematics education. With this kind of method of analysis we got the results that: the past Korean elementary mathematics curriculums mainly have the tendency from the ideology of the progressive educator(the 1st) to of the technological pragmatist(the 2nd), from that of the old humanist(the 3rd and 4th) to the progressive educator(the 5th and 6th) again, and lastly that of social constructivism(the 7th).

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수학 교실에서 뇌-기반 학습에 대한 연구

  • Sin, In-Seon;Jang, Yeong-Il;Gwon, Jeom-Rye
    • Communications of Mathematical Education
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    • v.14
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    • pp.177-195
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    • 2001
  • 인간의 교수${\cdot}$학습은 본질적으로 뇌 기능과 많은 관련을 맺고 있기 때문에 뇌-기반 학습에서는 우리의 뇌가 최적으로 학습하는 방식에 기초해 접근을 시도한다. 지난 30년간의 뇌에 대한 연구는 교수${\cdot}$학습에 대해서 이용할 만한 많은 정보를 제시하고 있다. 많은 교육연구가들은 뇌 연구를 기초로 뇌가 최적으로 학습하는 뇌-친화적 환경을 도입하였고, Politano & Paquin(2000)은 현행교실에 실제로 이용 가능한 뇌-기반 환경을 창조하기 위한 기초로서 10가지 요소를 제시하면서 뇌-기반 학습에서 학습자는 자신에게 익숙한 학습감각을 가지고 있으며 그것을 통한 학습이 효과적임을 말하였다. 수학교육에서도 이와 같이 뇌-기반 학습을 배경으로 하는, 학습자의 학습감각을 고려한 교수${\cdot}$학습이 의미있다고 할 수있다. 본 연구에서는 뇌기반 학습의 의미를 고찰하고, 제 7차 교육과정이 실행되는 초등학교 4학년, 중학교 2학년, 고등학교 1학년에 교실에 대한 학습감각을 조사하였으며, 수학 교실에서 학습자의 학습감각을 고려한 수업활동을 제시하였다.

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An Analysis on the Responses and the Behavioral Characteristics between Mathematically Promising Students and Normal Students in Solving Open-ended Mathematical Problems (수학 영재교육 대상 학생과 일반 학생의 개방형 문제해결 전략 및 행동 특성 분석)

  • Kim, Eun-Hye;Park, Man-Goo
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.19-38
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    • 2011
  • The purpose of this study was to analyze the responses and the behavioral characteristics between mathematically promising students and normal students in solving open-ended problems. For this study, 55 mathematically promising students were selected from the Science Education Institute for the Gifted at Seoul National University of Education as well as 100 normal students from three 6th grade classes of a regular elementary school. The students were given 50 minutes to complete a written test consisting of five open-ended problems. A post-test interview was also conducted and added to the results of the written test. The conclusions of this study were summarized as follows: First, analysis and grouping problems are the most suitable in an open-ended problem study to stimulate the creativity of mathematically promising students. Second, open-ended problems are helpful for mathematically promising students' generative learning. The mathematically promising students had a tendency to find a variety of creative methods when solving open-ended problems. Third, mathematically promising students need to improve their ability to make-up new conditions and change the conditions to solve the problems. Fourth, various topics and subjects can be integrated into the classes for mathematically promising students. Fifth, the quality of students' former education and its effect on their ability to solve open-ended problems must be taken into consideration. Finally, a creative thinking class can be introduce to the general class. A number of normal students had creativity score similar to those of the mathematically promising students, suggesting that the introduction of a more challenging mathematics curriculum similar to that of the mathematically promising students into the general curriculum may be needed and possible.

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Effects of the Problem-based Learning Utilizing Cognitive Algorithms in Elementary Mathematics Education (인지 기제 활용 문제 기반 학습의 수학 교육 효과 분석)

  • Lee, Myung-Geun;Kang, Su-Yeon
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.11
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    • pp.145-152
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    • 2011
  • The study analyzed effects of the problem-based learning utilizing cognitive algorithms in elementary mathematics education in terms of academic achievement and math attitude changes. In order to solve the research questions, a cognitive algorithm-based PBL model was derived based on N. Landa's algorithm-based instructional design theory. And the model was applied to a part of second semester math curriculum for 4th grade of an elementary school located in Seoul. The results showed that the PBL utilizing algorithms can be said to have effects on academic achievement. The PBL model is also considered to have positive effects in enhancing mathematical attitudes of the learners.