• 한국정보교육학회:학술대회논문집
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• 2004.08a
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• pp.272-280
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• 2004

전통적인 수학교육은 간단한 수학적 사실을 이해하고 활용하는 측면에 있어서는 효과적일 수도 있지만, 수학적 개념, 원리, 법칙을 학생 스스로 탐구, 발견하고 창조하는 능력을 기르는 데는 적절하지 않다. 이러한 능력을 기르기 위해서는 학생들 스스로가 관찰, 조작, 분석, 종합하는 활동을 강화할 필요가 있다. 구체적 조작물을 학습도구로 활용하는 경우, 수학 학습에 대한 흥미와 자신감을 길러 주고, 자신의 수준에 맞는 내용을 자기 주도적 학습을 통하여 성취감을 가지게 하며, 학생 스스로 탐구 활동을 활발히 하는데 도움이 된다. 삶의 질이 급격히 향상되는 정보사회에서는 사이버 공간의 등장으로 공간감각 기능의 필요성이 더욱 절실한 바, 현행 수학교과서에서 제공되는 각종 공간 도형들은 3차원 공간에서 이루어지지 않고 평면도형으로 처리함으로써 아동의 도형인지 능력 향상에 큰 효과를 기대하기 어렵다. 이에 본 연구에서는 아동의 인지발달 단계를 고려, 도형인지능력 향상을 위한 선 및 점대칭 관련 동기유발, 선수, 기본, 보충, 심화, 평가, 도움말 관련 프로그램을 개발, 적용한 결과 학습자의 동기가 유발되고, 도형 인지능력 향상에 유의미한 결과를 얻었다.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.6
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• pp.355-364
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• 2018

The objective of this study is to conduct basic research for the development of programs for improving university students' communication competence. As such, it seeks to determine if positive psychological capital can mediate the relationship between the geometric psychology type and communication competence. To that end, 321 Korean university students were surveyed using a questionnaire, and the data underwent scale reliability analysis, regression analysis, and path analysis. Regression analysis revealed the consistent regression results of variables, including geometric psychology type, positive psychological capital, and communication competence. Path analysis confirmed that positive psychological capital mediated the relationship between the geometric psychology type and communication competence, and the results suggested different patterns according to type of geometric psychology. The circle type mediated the sub-variable resilience vis-a-vis communication competence, and directly influenced the latter. The triangle type mediated the sub-factors of positive psychological capital - self-efficacy and resilience -vis-a-vis communication competence, and thus influencing the latter. The square type mediated the sub-factor of positive psychological capital - self-efficacy - vis-a-vis communication competence, and directly influenced the latter. The S type did not mediate positive psychological capital vis-a-vis communication competence, but directly influenced the latter. Thus, considering the above findings, in order to develop university students communication improvement programs, programs should be developed with the application of positive psychological capital considering geometric psychology type.

• Proceedings of the Korean Society for the Gifted Conference
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• 2003.11a
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• pp.131-132
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• 2003

창의력 검사와 지능 검사와의 상관이 높게 나타남에 따라 창의력 검사가 지능 검사와 차별화된 능력을 측정하고 있는 지에 의문이 생겨났다. 본 연구에서는 유동성 지능과 결정성 지능을 측정하고, 이들과 창의력 검사와의 상관 관계를 조사함으로써 두 검사 사이에서 나타나는 상관관계의 원인을 탐색하고자 하였다. 이를 위해 창의력 검사로 널리 이용되는 Torrance Tests of Creative Thinking (TTCT)의 도형과 언어검사, 유동성지능을 측정하는데 대표적으로 이용되는 Raven's Advanced Progressive Matrices (RAPM), 유동성지능과 결정성지능 모두를 측정하는 Wechsler Adult Intelligence Scale (WAIS)을 과학고와 일반고 50명의 학생들을 대상으로 실시하였다. 실험결과 TTCT 도형과 언어 검사 모두 RAPM과의 상관은 유의미하지 않았으나 WAIS와의 상관은 유의미했다. WAIS 지능점수에 따라 학생들을 두 개의 그룹으로 구분했을 때 지능이 높은 그룹에서는 TTCT와 RAPM, WAIS의 상관결과가 모두 유의미하지 않았다. 지능이 낮은 그룹에서는 TTCT와 RAPM과의 상관은 유의미하지 않았으나 TTCT 도형 검사와 WAIS와의 상관은 유의미했다. TTCT와 WAIS 11개 소검사간의 상관 상관을 알아보았다. 분석결과 유동성지능을 잘 대표하는 소검사인 토막짜기, 모양맞추기, 숫자외우기는 TTCT 도형과 언어 검사 모두에서 유의미한 상관을 보이지 않았으며, 결정성지능을 잘 대표하는 소검사인 기본지식문제는 TTCT 도형과 언어 검사 모두에서 유의미한 상관을 보였다. WAIS 11개 소검사를 독립변인으로 하고 TTCT 전체 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.

• Journal of the Korea Society of Computer and Information
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• v.18 no.1
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• pp.185-192
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• 2013

The development of hardware, popularization of 3D graphics software could get to easily use 3d graphics tool in the school. And learning difficulties of a shape section increased through more being enforced a shape section of an elementary school. Thus we try to improve learning effectiveness in a shape section using Sketech Up software. To do this, we analyzed existing studies, classified 3D graphics software, provided the selection criteria of vector graphics software. And we explained how to select 3D graphics software. We selected and reorganized the shape contents to use Sketch Up, which make and rotate 3D figures, understand aspects of a shape. And we inserted the content about piling 3D figures in the beginning state of the curriculum. we composed 10 periods and practiced our reorganized curriculum to the teaching and learning using Sketch Up. And we conducted before & after survey to check out t-verified. And we acquired meaningful results statistically. Thus applying Sketch Up to the shape learning can be analyzed effectively.

• Communications of Mathematical Education
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• v.15
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• pp.87-92
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• 2003

본 연구의 목적은 초등학교 5학년의 도형 영역에서 도형의 모양과 변환을 대상으로 공간 시각화하는 과정에서 나타나는 교구의 역할을 알아보고자 '공간 과제'를 수행하는 과정에서 학습 능력 수준에 따라 나타나는 교구 활용 의존도 및 교구의 역할을 비교 ${\cdot}$ 분석하고자 질적 연구를 수행하였다. 양적 측면에서 아동 C(학습능력 하: 33%), 아동 A(학습능력 상: 18%), 아동 B(학습능력 중: 15%) 순으로 나타났지만, 문제 해결 과정의 단계에서 나타나는 교구의 활용은 서로 간의 다른 특징을 보였다. 친근감을 느낄 수 있는 교구 사용을 통해 아동은 과제 해결을 위한 수학적 사고를 시작하였고, 새로운 방법 모색에 관심을 가졌으며, 유익한 시행착오를 제공하여 아동에게 자신의 사고에 대한 반성과 구체화를 촉진시켰다.

• School Mathematics
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• v.16 no.4
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• pp.677-690
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• 2014

The main goals of learning geometry include developing spatial ability and concepts on geometric objects based on understanding the attributes and relationships of them. While the instructions on geometric objects follow the concept development models, the ones on spatial ability are designed from the perspective of geometric transformation. However, there is a need for instructional materials to emphasizing the relationships among geometric concepts. This study hypothesizes that spatial ability stems from the intuitive understanding of geometric objects and the relational understanding on concepts, and it considers the isoperimetric problems as instructional materials to foster spatial ability.

• Journal of the Korean Geographical Society
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• v.43 no.4
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• pp.638-654
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• 2008

A questionnaire survey is conducted to identify the middle school students' abilities to recognize the proportional symbolic maps. After analyzing the data from the respondents, three facts could be concluded. First, the trends of under-estimation are represented as the power function and the degree of under-estimation is increased as the sequence of line, square, circle, sphere symbols. Second, the estimations of symbol size are effected by the number of symbols in the legend(3, 5, 7), the presentation methods of legends(linear, nested), and the system to scale the symbol size(mathematical, perceptual). Lastly, the size of symbols on the map tends to be over-estimated comparing to the symbols in the legend, and the differences between the first year and third year students to recognize the proportional symbol maps are not identified.

• The Mathematical Education
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• v.58 no.2
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• pp.283-298
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• 2019

Among the measurement attributes included in the elementary school mathematics curriculum, perimeter, area, volume and surface area are intensively covered in fifth and sixth graders. However, not much is known about the level of student performance and difficulties in this area. The purpose of this study is to examine the understanding and performance of sixth-grade elementary school students on some ideas of measurement and ultimately to give some suggestions for teaching measurement and the development of mathematics textbooks. For this, diagnosis questions were developed in relation to the following parts: measurement of perimeter and area of plane figure, measurement of surface area and volume of solid figure, and the relationships between perimeter and area, and the relationships between surface area and volume. The performances of 95 sixth graders were analyzed for this study. The results showed children's low performance in the measurement area, especially measurement of perimeter and surface area, and relationship of the measurement concepts. Finally, we proposed the introduction order of the measurement concepts and what should be put more emphasis on teaching measurement. Specifically, it suggested that we consider placing a less demanding concept first, such as the area and volume, and dealing more heavily with burdensome tasks such as the perimeter and surface area.

• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.353-367
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• 2007

The purpose of this study was to examine what errors students made in solving word problems with figures and to compare the problem-solving abilities of boys and girls for each type of word problems with figures. It's basically meant to provide information on effective teaching-learning methods about world problems with figures that were given the greatest weight among different sorts of word problems. The findings of the study were as fellows: First, there was no difference between the boys and girls in the types of error they made. Both groups made the most errors due to a poor understanding of sentences, and they made the least errors of making the wrong expression. And the students who gave no answers outnumbered those who made errors. Second, as for problem-solving ability, the boys outperformed the girls in problem solving except variable problems. There was the greatest gap between the two in solving combining problems. Third, they made the average or higher achievement in solving the types of problems that were included much in the textbooks, and made the least achievement in relation to the types of problems that were handled least often in the textbooks.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.299-327
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• 2023

In this study, we tried to find out the level of inductive reasoning ability and the aspects of visualization components shown in students in the class using exploratory software for the 'congruence and symmetry' unit in the second semester of the 5th grade of elementary school. To this end, classes using GeoGebra, one of the exploratory software, were conducted for a total of 19 students in one class of fifth graders in elementary school, and the results of the students' activities were analyzed. As a result of this study, the level of inductive reasoning ability of students remained at a similar level or developed, and it was shown that students inferred new properties of shapes using various functions of software inductively. In addition, in terms of visualization, students were able to quickly and easily draw shapes that met the conditions, and unlike the paper-and-pencil environment, using the 'measurement' and 'symmetry' functions, they transformed and manipulated complex yet precisely congruent and symmetrical external representations. Based on these analysis results, implications for the use of exploratory software in the area of figures were derived.