• Journal of the Korean School Mathematics Society
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• v.20 no.3
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• pp.255-275
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• 2017

Educating for character was emphasized in 2015 & 2009 reformed Korea natio nal mathematics curriculum. Thus, in this study we basically conducted to reali ze the creativity and character education. The purpose of this study is to succe ssfully lectures in the 'Mathematics Curriculum and Textbook Research' subject that is mathematics education department's major subject in teacher college, and to analyze the results. For the purpose of this study, the following study was carried out. First, we develop a lesson plan, teaching and learning plan, learning materials based on cr eativity and personality. Second, we taught a class based on the creativity and personality. Third, we analyze the effectiveness of the teaching efficacy about p re-service math teacher. Fourth, we conducted a qualitative analysis of the 'Mat hematics Curriculum and Textbook Research' subject lessons through the Classe s observer.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.865-884
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• 2010

The purpose of this research was to analyze the characteristics of teachers' questionings in the geometry field and suggest the characteristics of teacher questioning to enhance students' mathematical creativity. Teacher questioning plays a role to students' mathematical achievements, mathematical thinking, and their attitudes toward mathematics. However, there has been little research on the roles of teacher questioning on students' mathematical creativity. In this research, researchers analyzed teachers' questions concerning the concepts of triangles in the geometric areas of 4th grade Korean revised 2007 mathematics textbooks. We also analyzed teachers' questionings in the three lessons provided by the Jeju Educational Internet Broadcasting System. We classified and analyzed teachers' questionings by the sub-factors of creativity. The results showed that the teachers did not use the questionings that appropriately enhances students' mathematical creativity. We suggested that teachers need to be prepared to ask questions such as stimulating students' various mathematical thinking, encouraging many possible responses, and not responding with yes/no. Instead, teachers need to encourage students to explain the reasons of their responses and to take part in learning activities with interest.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.541-554
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• 2013

Recently, storytelling was emphasized in mathematics education for students to have interest in mathematics and active attitude about the mathematics. Storytelling can provide a meaningful mathematical context that motivates children to learning mathematics actively. And also, the power of storytelling for engaging children in mathematics learning was evident in the many research. According to this trend, the new mathematics textbook applying storytelling was developed. Already this textbook applying storytelling was used in grade 1-2 in 2013. Grade 3-4 will use this new textbook in 2014 and grade 5-6 will use new textbook in 2015. This study reviewed the mathematics educational meaning of storytelling and discussed the educational rationale of introducing the storytelling in mathematics education, and offered practical teaching method for applying storytelling in mathematics instruction.

• Journal of Gifted/Talented Education
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• v.20 no.3
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• pp.867-883
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• 2010

Recognizing the importance of motivation, goal orientation, and attitudes toward schools is an important component for educators to consider as they establish positive learning communities for gifted learners. The purpose of this study was to describe attitudes toward school and self relationship to schoolwork for students who are enrolled in the 5th, 6th, and 7th grade, identified as gifted, accelerated in at least one subject (mathematics), and living in Korea or the United States. Comparisons were conducted for country of origin and gender for all subscales on the School Attitude Assessment Survey-Revised (McCoach & Siegle, 2004). Of the 507 participants (278 Korean and 229 American), girls scored higher on the motivation/self-regulation scale than boys and American students scored higher than Korean students on attitudes toward school, academic self perceptions, goal orientation, and motivation. There were no differences by country or gender on attitudes toward teachers.

• Journal of the Korean School Mathematics Society
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• v.5 no.2
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• pp.47-57
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• 2002

The purpose of this study is to investigate the effects of a mathematics basis underachiever program on a mathematics achievement and mathematics attitudes. For this investigation, twenty eight-grade students as an experimental group were trained in a mathematics basis underachiever program by trained teachers in a middle school classroom for a period of 8 weeks. Twenty eight-grade students in another middle school, serving as a control group. Both groups were given a pretest and a posttest to check the mathematics achievement inspection tool(Likert-type Mathematics Attitude Survey; LTMAS) and a mathematics attitude inspection tool(KEDI, 2001). In the analysis of data Frequencies, percentiles, t-test were used. The results of the study are summarized as follows; First, the results showed that the experimental group demonstrated significantly higher differences than the control group in the mathematics achievement components of inequality equation, figure area and the whole in a mathematical achievement(p<.05). Second the results showed that the experimental group demonstrated significantly higher differences than the control group in the mathematics attitude components of positive mathematics attitude, negative mathematics attitude and the whole in a mathematical attitude(p<.05).

• Journal of Gifted/Talented Education
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• v.11 no.3
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• pp.245-270
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• 2001

Math and Science Olympians participated in a study of the role of environmental influences in their talent development. The questions they got was about family and school factors contribute / or hinder to the development of their scientific talents, and the parents' child rearing styles. The questionnaires were originally developed by Campbell(1996) for cross-cultural studies. The major findings were as follows: ⑴ The professional job of the Olympians'father, the high SES, Their parents'discovering their child's talents were positive factors, ⑵ Their family support and learning environment were reported strong and positive, especially books and reading atmosphere, ⑶ The Olympians participated in the accelerated and enriched educational programs, ⑷ The quality of the class and the rigidity of the curriculum were hindering factors, ⑸ Their parents'rearing style were permissive, affective, and supportive.

• Journal of Elementary Mathematics Education in Korea
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• v.10 no.1
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• pp.89-106
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• 2006

The purposes of this study are to find out differences of the causes of mathematics anxiety in elementary school students according to the Grades and sex, and to find out which causes have more influence on achievement of mathematics and how much it is. For this purposes, the problems of this study are defined as follows: First, are there any differences in the influences of each super-causes and sub-causes of mathematics anxiety according to the Grades? Second, are there any differences in the influences of each super-causes and sub-causes of mathematics anxiety according to the sex? Third, what relation do the super-causes of mathematics anxiety have to the achievement of mathematics? The conclusions of this study are as follows: First, mathematics anxiety is much more affected by the internal cause like the cause of student attitude than the external cause like the causes of circumstance and the cause of teacher. Second. mathematics anxiety is much more affected by a direct experience like the causes of a shortage of time and the causes of student interest than indirect experience like the causes of teacher's authority and the causes of the application of daily life. Third, the causes of circumstance and parent's attitude. its sub-cause, have greater influence on the female group than on the male group. Fourth, in the middle Gradess, the female group is more affected by the cause of student attitude and the cause of circumstance than the male group, but in the higher Grades. the differences disappear and those two become common causes of anxiety. Fifth, As the students go up to the next Grades in school, the cause of teacher, the characteristic of the curriculum and the cause of prejudice have more influence on the mathematics anxiety. Sixth, the causes of teacher, the causes of mathematical curriculum and the causes of student attitude among super-causes of mathematics anxiety have a negative effect on the achievement of mathematics. But the causes of circumstance have a positive effect on it. And also, the causes of mathematical curriculum among super-causes is much related to the causes of teacher and the causes of circumstance.

• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.401-413
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• 2007

This study was some part of the main program making better the lessons in the classroom in which those should focus on the creative and self-leading method. The purpose of study was to create the model of Problem Based Learning and investigate its efficiency For the purpose, those researchers tried to reform the Myers' PBL model through the pilot experiment and could get the Model of Korean School PBL appropriate to the our classroom situations. Thirty six students from the enriched class in the junior high school 3rd grades was involved in the experiment for 8 weeks. The results showed that the experimental group had statistically significant difference in the real problem solving test and attitude test. Specially, those students also showed that the ability to translate the variety of problem situations mathematically was so excellent and they also had their own technique to generate the understand of problem solving situations, but they aid not show the significant ability to pose the meaningful problem.

• Communications of Mathematical Education
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• v.16
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• pp.217-218
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• 2003

제7차 교육과정의 기본방향인 '21세기의 세계화 정보화 시대를 주도할 자율적이고 창의적인 한국인 육성'에서 볼 수 있듯이, 새로운 교육과정에서는 학생들의 창의력을 신장시키기 위한 방안으로 교과별 교육과정이나 재량활동 운영 등을 제시한 바 있다. 수학교육에서도 이러한 시대적 흐름에 발맞추어 수학적 창의력의 신장이 강조되고 있는 상황이다. 그동안 이론적인 측면과 실제적인 측면에서 수학적 창의성에 대한 성과가 축적되었다. 이론적인 측면에서 볼 때, Haylock(1987)등에 의해 창의력과 수학적 창의력의 구분되었으며, 특히 '수학적' 창의력에 대한 다양한 정의가 제안되었다. 실제적인 측면에서도 수학적 창의력을 측정하려는 평가 도구들이 그 동안 여러 가지로 개발하였다. 그러나, 이러한 수학적 창의력에 관한 전반적인 연구는 종국적으로 교실 수학수업에 반영되어야 함에도 불구하고, 그리 만족스럽지 못한 상황이다. 특히, 교실에서 수학수업을 실제로 담당하는 교사들이 수학적 창의력을 위한 수업을 하고자 하더라도 당장 가까이에서 구할 수 있는 교수 학습 자료가 여전히 부족한 상황이다. 물론 그 동안 교실 수학수업에서 사용할 수 있는 창의력 개발 프로그램이 전무한 것은 아니다. 그런데 그들 대부분은 게임이나 퍼즐을 이용한 것으로 그 수준이 단순 흥미유발에 그치고 있거나 소수의 영재아를 위한 소재를 중심으로, 특히 수학적 사고 과정을 따르기보다는, 시행착오를 거쳐 원하는 결과를 얻을 가능성이 많으며, 수학과의 연계성이 불분명한 채로 단순놀이에 그치는 경우가 적지 않아, 수업과 연관되어 창의력의 신장이라는 측면에서 볼 때, 적용하기 어려운 사례가 많다. 이러한 상황을 개선하는 데 기여하고자, 현재 교과교육공동연구 지원사업의 하나로 한국 학술 진흥재단의 지원을 받아, '개방형 문제(open-ended problems)'를 중심 소재로 한 '수학적 창의성'을 신장하기 위한 교수학습 프로그램을 개발하여, 중학교 1학년을 대상으로 연구를 진행하고 있다. 개방형 문제라 함은 명백한 정의가 어렵지만 Pehkeon(1995)는 개방형문제의 정의를 명백히 하기위한 시도로서 그 반대로 닫힌 문제에 대한 정의로부터 시작하여, 어떤 문제가 닫혀있다고 하는 것은 그 문제의 출발 상황과 목표 상황이 닫혀 있는 것, 즉 명백히 설명되어있을 때라면 개방형 문제는 이와 반대의 개념임을 시사하였다. Silver(1995)는 개방형 문제를 문제 자체가 다른 해석이 가능하거나 서로 다를 인정할만한 답을 가질 수 있는 문제 또는 풀이과정이 다양한 문제, 자연스럽게 다른 문제들을 제안하거나 일반화를 제시할 수 있는 문제라고 정의하였다. 따라서 개방형 문제란 출발상황이나 목표 상황의 일부가 닫혀있지 않을 때를 말하고 문제의 조건을 만족하는 해답이 여러 가지로 존재하는 문제를 뜻한다. 수학적 창의력을 개발하는 데, 다른 문제 유형보다도, 개방형 문제가 유리하다는 점은 이미 여러 학자들에 의해 주장되어왔다. 미국 국립영재교육센터(NRCG/T)는 기존의 사지선다형이나 단답형 문제와 질문들은 학생들의 사고 능력에 관한 정보를 거의 알려주지 못하기 때문에 한 가지 이상의 답을 요구하는 ‘open-ended' 또는 ’open-response' 문제와 질문을 가지고 수학 분야에서의 창의적 사고 능력과 표현능력을 측정해야 한다고 하였고, 개방형 문제가 일반적으로 정답이 하나인 문제보다 고차원적인 사고를 요구하게 하는 문제 형태라고 하였다. 본 연구에서는 이러한 근거를 바탕으로 개방형 문제의 유형을 다양한 답이 존재하는 문제, 다양한 해결 전략이 가능한 문제, 답이 없는 문제, 문제 만들기, 일반화가 가능한 문제 등으로 보고, 수학적 창의성 중 특히 확산적 사고에 초점을 맞추어 개방형 문제가 확산적 사고의 요소인 유창성, 독창성, 유연성 등에 각각 어떤 영향을 미치는지 20주의 프로그램을 개발, 진행하여 그 효과를 검증하고자 한다. 개방형 문제를 활용한 수학적 창의력 신장 프로그램을 개발하고 현장 학교에 실험 적용하여 그 효과를 분석하고자 하는 본 연구는 창의력 신장에 비중을 두는 수학과 교수-학습 과정에 실제적인 교수 학습 자료를 제공하는 것뿐만 아니라 교사들에게는 수학교실에서 사용 가능한 실제적인 활용방안을, 학생들에게는 주어진 문제를 여러 가지 각도에서 생각하면서 다양한 사고를 경험하는 기회를 가질 수 있어, 수학을 보는 학생들의 태도에도 긍정적인 변화를 가져올 수 있을 것이라 기대한다.

• Communications of Mathematical Education
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• v.25 no.4
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• pp.681-691
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• 2011

Mathematics curriculum according to 2009 Revised National Curriculum suggests that school mathematics must cultivate interest and curiosity about mathematics in addition to creative thinking ability of students, and ability and attitude of observing and analyzing many things happening around. Centroid of a triangle in 2007 Revised National Curriculum is defined as 'an intersection point of three median lines of a triangle' and it has been instructed focusing on proof study that uses characteristic of parallel lines and similarity of a triangle. This could not teach by focusing on the centroid itself and there is a problem of planting a miss concept to students. And therefore this writing suggests centroid must be taught according to its essence that centroid is 'a dot that forms equilibrium', and a justification method about this could be different.