• Proceedings of the Korea Society of Elementary Mathematics Education
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• 2010.08a
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• pp.219-235
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• 2010

학습자들이 미래 사회에 능동적으로 대처하기 위해서는 기존의 지식을 축적, 활용하는 것뿐만 아니라, 새로운 행동 양식을 개발하고 환경의 변화에 적절히 대응해 나갈 수 있는 능동적인 자세와 상응하는 창의적인 힘을 키우기 위해 '창의성 신장'이 강조되고 있다. 선행연구에 따르면 교사의 발문이 학생의 수학 학업성취도, 수학적 사고력향상, 수학에 대한 관심과 흥미에 긍정적인 영향을 주고 있음을 시사하고 있지만, 수학교육에서 창의성 신장을 위한 교사의 발문에 관련한 구체적인 연구는 미흡한 실정이다. 따라서 2007 개정 교육과정에서 강조하는 수학적 의사소통능력과 창의성, 수학적 사고력 신장에 기여하고 학생들의 수학과 학업성취도 뿐만 아니라 정의적 영역(흥미, 태도, 호기심 등)의 향상을 도모할 수 있는 교사 발문의 특성 연구가 필요하다. 본 연구는 도형영역 수업에서 교사의 발문 특성을 분석하고, 수업에서 사용되는 자료와 수업에서 학생들의 수학적 창의성 신장을 효과적으로 도울 수 있는 교사 발문의 특성을 연구하는 것을 목적으로 하였다. 본 연구를 위하여 우리나라 2007개정 교육과정 수학과 4학년 1학기 도형 영역 관련 단원인 삼각형을 주제로 교과서에서 제시한 발문 내용을 분석하고, 실제 교수-학습 과정에서의 교사 발문의 실태를 알아보고자 제주교육인터넷방송국에 탑재되어 있는 7차 교육과정 4학년 1학기, 2학기 도형 관련 3개의 수업을 관찰 및 분석하였다. 이를 통해 수학적 창의성 신장을 위한 교사 발문의 특성을 수학적 창의성의 하위요소별로 나누어 분석하였다. 학생의 창의성 신장을 위해서 교사는 학생들이 다양하게 사고할 수 있도록 자극할 수 있는 발문을 준비하고, 수업 진행시 하나의 발문에 대해 다수의 반응을 유도하고, 학생의 응답에 대해 단순한 '맞다, 틀리다'의 판단을 내리기 보다는 그 근거를 설명할 수 있는 기회를 마련해 주어 학생이 수학 수업에 흥미를 갖고 스스로 참여할 수 있도록 유도해야 함을 제안하였다.

• School Mathematics
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• v.14 no.1
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• pp.151-163
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• 2012

In 2006 with the revised national curriculum, Elementary mathematics teaching and learning methods are presented in the following ways. Learners explore the way through the operational activities of the teachers and students with learning and learners' active learning activities, etc., and an active learning based on the principle of attention to learning how to maximize the effectiveness are required. In this study, from first grade through sixth grade elementary school mathematics textbooks for all learning activities presented in 10 different types were investigated This result of 5 contents area of number and operation, geometry, probability and statistics, measurement and patterns and problem solving and divided into low, middle, and hight three were intentional. In addition, teachers are looking forward to this result was compared with the type of activity.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.245-263
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• 2013

Mathematical learning via projects, which enables the reconstruction of curriculum through integration and emphasizes the process of solving problems by posing questions, has attracted the attention of the department of mathematics. This research is aimed at exploring the link between mathematics and project learning by analyzing an example of student-oriented project 'the secrets of pyramid' focused on understanding 'triangle' specifically designed for forth graders. From 115-hour process of subject-oriented project, this study reinterpreted the mathematical meaning of only 24 hours directly related to mathematics, especially to figure exploration. Consequently, this problem solving involved a variety of geometric activities as a process, such as measuring an angle, constructing a triangle, etc. Thus students attempt to actively participate in the process, thereby allowing them to learn how to measure things more accurately. Moreover, project learning improved students' understanding on not only plane figures but solid figures. This indicates that by project learning, learning from given problems or contents can be extended to other mathematical areas.

• 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.

• Journal of Educational Research in Mathematics
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• v.18 no.2
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• pp.239-261
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• 2008

This study presents results by the content areas in mathematics. Average performance is provided for five content areas: number, algebra, measurement, geometry, and data. Relative achievement is shown among the content areas for 4 countries in comparison to Korea. In number, Korea had lower average achievement than Singapore, especially for ratio proportion percent. Among 5 countries, Korea had the highest average achievement in algebra and geometry, but the lowest in attributes and units of measurement. In data, Korean students didn't learn the followings successfully: a) comparing characteristics of data sets and using mean, median, range, and shape of distribution, b) interpreting data sets (e.g., draw conclusions, make predictions, and estimate values between and beyond given data points), c) evaluating interpretations of data with respect to correctness and completeness of interpretation.

• Education of Primary School Mathematics
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• v.16 no.1
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• pp.1-20
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• 2013

The aim of this study was to develop a gifted educational program in math-gifted class in elementary school using recently developed 4D-frame. This study identified how this program impacted on spatial sense and mathematical creativity for mathematically gifted students. The investigation attempted to contribute to the developments for the gifted educational program. To achieve the aim, the study analysed the 5 and 6th graders' figure learning contents from a revised version of the 2007 national curriculum. According to this analysis, twelve learning sections were developed on the basis of 4D-frame in the math-gifted educational program. The results of the study is as follows. First, a learning program using 4D-frame for spatial sense from mathematically gifted elementary school students was statistically significant. A sub-factor of spatial visualization called mental rotation and sub-factors of spatial orientations such as sense of distance and sense of spatial perception were statistically significant. Second, the learning program that uses 4D-frame for mathematical creativity was statistically significant. The sub-factors of mathematical creativity such as fluency, flexibility and originality were all statistically significant. Third, the manipulation properties of 4D-frame helped to understand the characteristics of various solid figures. Through the math discussions in the class, participants' error correction was promoted. The advantage of 4D-frame including easier manipulation helped participants' originality for their own sculpture. In summary, this found that the learning program using 4D-frame attributed to improve the spatial sense and mathematical creativity for mathematically gifted students in elementary school. These results indicated that the writers' learning program will help to develop the programs for the gifted education program in the future.

• Communications of Mathematical Education
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• v.24 no.1
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• pp.235-257
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• 2010

Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.

• Education of Primary School Mathematics
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• v.27 no.2
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• pp.155-171
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• 2024

This study compared and analyzed students' reasoning processes and justification methods when introducing the concept of "the sum of angles in a triangle" in mathematics classes with a focus on both measurement and geometric aspects. To confirm this, the research was conducted in a 4th-grade class at H Elementary School in Suwon, Gyeonggi-do, South Korea. The conclusions drawn from this study are as follows. First, there is a significant difference when introducing "the sum of angles in a triangle" in mathematics classes from a measurement perspective compared to a geometric perspective. Second, justifying the statement "the sum of angles in a triangle is 180°" is more effective when explained through a measurement approach, such as "adding the sizes of the three angles gives 180°," rather than a geometric approach, such as "the sum of the angles forms a straight angle." Since elementary students understand mathematical knowledge through manipulative activities, the level of activity is connected to the quality of mathematics learning. Research on this reasoning process will serve as foundational material for approaching the concept of "the sum of angles in a triangle" within the "Geometry and Measurement" domain of the Revised 2022 curriculum.

• Education of Primary School Mathematics
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• v.13 no.2
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• pp.85-97
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• 2010

The purpose of this study is to develop a teaching program in consideration of the geometrical thinking levels of students to make a contribution to teaching figures effectively. To do this, we checked the geometrical thinking levels of fourth-graders, developed a teaching program based on van Hiele's theory, and investigated its effect on their geometrical thinking levels. The teaching program based on van Hiele's theory put emphasis on group member interaction and specific activities through offering various geometrical experiences. It contributed to actualizing activity-centered, student-oriented, inquiry-oriented and inductive instruction instead of sticking to expository, teacher-led and deductive instruction. And it consequently served to improving their geometrical thinking levels, even though some students didn't show any improvement and one student was rather degraded in that regard - but in the former case they made partial progress though there was little marked improvement, and in the latter case she needs to be considered in relation to her affective aspects above all. The findings of the study suggest that individual variances in thinking level should be recognized by teachers. Students who are at a lower level should be given easier tasks, and more challenging tasks should be assigned to those who are at an intermediate level in order for them to have a positive self-concept about mathematics learning and ultimately to foster their thinking levels.

• Proceedings of the Korean Society for the Gifted Conference
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• 2003.11a
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• pp.185-186
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• 2003

영재교육 프로그램 개발의 핵심적인 부분은 영재들에게 적절한 교육과정이며, 대표적인 영재교육과정모형으로 삼부심화학습모형(Enrichment Triad Model: ETM), 학교단위 심화학습모형(Schoolwide Enrichment Model： SEM), 자기주도적 학습모형 (Self-Directed Learning Model), 퍼듀 3단계 심화학습 모형(Purdue Three-Stage Enrichment Model) 등이 있다. 이들 모형에 대한 적용 연구가 일부 초등학교냐 중학교의 시범적인 속진 및 심화 프로그램 실시로 적용된 바는 있으나 정규 교육과정에서는 실시될 기회가 없었다. 국내에서도 2002년 영재교육법 시행령 적용 이후 과학영재학교가 지정되어 운영되고 있기에, 영재교육을 위한 모형을 정규 교육과정 및 교수-학습 과정에 적용하고 그 효과를 밝히는 연구가 필요하다. 이에 본 연구에서는 삼부심화학습모형을 적용하기 위한 구체적인 교수·학습 과정안을 개발하고, 이를 과학영재학교 물리수업에 적용하여 그 과정과 학생들의 인식을 분석하고자 한다. 본 연구의 대상은 과학영재고등학교 1학년 72명이며 검사결과 지능지수, 추리력, 수리력, 지각력 면에서 매우 우수한 집단으로 나타났다. 삼부심화학습모형을 실시한 기간은, 1단계 활동을 2주간 실시하였고, 2단계 활동은 4개월간 진행하고 있으며, 3단계 활동은 겨울방학을 이용하여 실시할 계획이다. 삼부심화학습모형에 의하면 1단계는‘일반 탐색 활동을 통한 심화 학습’단계로 정규 교육과정 속에 포함되어 있지 않은 새롭고, 흥미로운 주제나 지식 영역들에 학생들이 접할 수 있도록 설계된 일반적 탐구 혹은 탐색 경험들을 제공하는 것으로 구성된다. 점수를 종속변인으로 하여 회귀분석을 한 결과 TTCT 도형과 언어 검사 모두 WAIS 소검사중의 기본지식문제가 TTCT 전체점수에 가장 높은 영향력을 미쳤다. 지능이 높은 그룹과 낮은 그룹에 대해 WAIS 11개 소검사와 TTCT 전체점수와의 상관을 구한 결과, 지능이 높은 그룹에서는 유의미한 상관을 의미는 소검사가 거의 없었던 것과는 달리, 지능이 낮은 그룹에서는 결정성지능을 대표하는 소 검사와 TTCT 도형검사 점수간의 상관이 유의미하게 나타났다. 이상의 결과를 통해 TTCT는 도형과 언어 검사 모두 유동성지능 보다는 결정성지능과 상관이 있음을 알 수 있는데, 이는 창의력 검사가 문제 해결 상황에 기존의 지식을 이용하는 능력을 측정하고 있기 때문으로 추정된다. 또한 지능이 낮은 그룹에서 높은 그룹에 비해 창의력 검사와 지능 검사 사이의 상관의 정도가 높았는데, 이는 일정 수준까지는 창의적 능력이 결정성 지능에 의해 제한을 받으나 일정 수준 이상의 결정성 지능을 갖게 되면 더 이상 결정성 지능이 창의적 능력을 제한하지 않기 때문인 것으로 해석된다.circ}C$에서 2.5~8.2mg$CO_2$/kg.hr로 일반적으로 보고되고 있는 토마토 호흡속도와 일치하는 결과를 나타내었다.다.환원당인 sucrose 함량은 계속 증가하였고 fructose, glucose, sorbitol의 함량(추황의 sorbitol을 제외)은 생장이 촉진됨에 따라 증가하다가 다시 점차적으로 감소하였다. 이러한 결과는 총당과 환원당의 측정결과와 일치한 것으로 나타났다. 결론적으로 배의 성장에 따라 산 함량은 감소하였고 당 함량은 증가하였다.luco-pyranoside, quercetin 7-O