• 대한수학교육학회지:수학교육학연구
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• 제25권3호
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• pp.407-429
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• 2015

본 연구에서는 현행 2011 수학과 교육과정에 따라 개발된 수학 교사용 지도서에서 제시하고 있는 수학 수업 모형을 중심으로 현장 교원들의 만족도와 활용 정도, 요구사항을 알아보았다. 현행 수업 모형에 대한 만족도는 약 80% 정도로 높은 것으로 나타났으나, 활용 빈도는 학기 당 또는 단원 당 1회 정도로 낮은 것으로 나타났다. 다른 교과 중에서는 사회와 과학 수업 모형에 대한 만족도가 높은 것으로 나타났으며, 그 이유로 수업에 활용하기 편리하다는 점을 들었다. 수학 수업 모형의 현장 활용도를 높이기 위한 방안으로 수학의 다양한 내용 영역을 고려한 수업 모형 개발, 수준별 차이를 고려한 수업 모형 개발, 직접 교수법 등 교육과정의 교수학습 방법을 고려한 수업 모형 개발이 필요함을 제안하였다.

• Korean Journal of Mathematics
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• 제21권3호
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• pp.311-318
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• 2013

We continue the study of power-Armendariz rings over IFP rings, introducing $k$-power Armendariz rings as a generalization of power-Armendariz rings. Han et al. showed that IFP rings are 1-power Armendariz. We prove that IFP rings are 2-power Armendariz. We moreover study a relationship between IFP rings and $k$-power Armendariz rings under a condition related to nilpotency of coefficients.

• 한국수학교육학회지시리즈A:수학교육
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• 제41권1호
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• pp.127-137
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• 2002

Discrete Mathematics is newly introduced into the 7th Elementary and Secondary School Mathematics Curriculum of Republic of Korea. Every high school can choose Discrete Mathematics as an optional course from year 2002, but mostly from year 2003. According to its characteristics and objectives in the curriculum, we should know how to implement Discrete mathematics. But it is hard to predict whether Discrete Mathematics will be successful or not, since many studies have shown the lack of readiness for the course. In this study, we analyze the Discrete Mathematics text book developed recently in 2002. Then we see how Discrete Mathematics can be implemented. First, we suggest how the contents in the Discrete Mathematics text book are related to the mathematical values. This will clarify instruction and learning methods in Discrete Mathematics classrooms. Secondly, rich and various discrete contents should be taught. Students should appreciate the realistic merits of discrete mathematics. Thirdly, evaluation methods and their examples will be presented based upon the contents of she text. The evaluation that distinguishes individual achievement levels is closely related with implementation of Discrete mathematics in schools. Finally, we point out the weakness of Discrete Mathematics contents in the 7th curriculum to prepare ourselves for the 8th curriculum.

• 대한수학교육학회지:수학교육학연구
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• 제12권2호
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• pp.163-180
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• 2002

The purpose of this paper is to reconsider the meaning of mathematical literacy based on the investigation of the nature of mathematical knowledge communicated in university level mathematics classes. The analysis of classroom discourse has revealed three different kinds of mathematical knowledge circulated in mathematics class, which include 'factual mathematics', 'mathematical fantasy', and 'mathematical savior faire.' The fact that a mathematics teacher delivers diverse categories of mathematics knowledge suggests that the mathematical literacy is not confined to the development of technical competence. More specifically, the kinds of mathematical knowledge identified above tell that mathematical literacy developed through learning mathematics reflects the cultural norms and values of doing mathematics. This means that mathematical literacy is not merely involve with technical competence but rather with cultural competence. In this regard, this paper highlights the meaning of mathematical literacy as a cultural identity, which has been underestimated in the theory and practice of mathematics education dominated by technocracy of the twentieth century In particular, the notion of mathematical savior faire implies that teaching and teaming mathematics ultimately deals with a system of cultural meaning. Hence, through learning mathematics, a learner gets transformed as a whole person according to the cultural norms and values. In this regard, it is concluded that mathematical literacy can be considered as a necessary condition to become a competent member of mathematics community sharing cultural norms of doing mathematics as well as a repertoire of mathematical skills.

• 대한수학교육학회지:학교수학
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• 제14권3호
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• pp.377-394
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• 2012

이 연구는 학습에서 중요한 요소인 의사소통으로서의 수학이 우리나라 2007 개정 초등학교 수학 교과서에 어떻게 반영됐는지를 알아보기 위한 것이다. 의사소통 활동의 적합성, 용어 기호 사용의 적합성, 문어적 표현의 적합성, 시각적 표현의 적합성, 수학 및 교육과정과의 부합성이라는 기준에 따라 교과서를 분석해본 결과 교육과정의 의도를 잘 반영하는 부분도 있지만 용어의 사용이나 여러 표현에 있어서 미숙한 부분도 많이 발견되었다. 앞으로 교과서를 제작할 때 교과서 저자들 사이의 의사소통, 저자와 작가, 삽화가 등과 충분한 논의가 필요함을 알 수 있었다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제11권3호
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• pp.197-207
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• 2007

Based on a survey on 1620 students in primary school and secondary school., by adopting Eysenck Personality Questionnaire (EPQ), we got the following findings : 1. There is close relationship between emotionality characteristics of temperament and mathematics academic achievement of the subjects at Grade 5 (Primary 5), Grade 8 (Junior Secondary 2), and Grade 10 (Senior Secondary 2). Also there is close relationship between internal-external directivity characteristics of temperament and mathematics academic achievement at Grade 5 and Grade 8. While there is not close relationship between internal-external directivity characteristics of temperament and mathematics academic achievement at Grade 10; 2. There is close relationship between temperament types and mathematics academic achievement of the subjects from the three grades. Superior temperament, which benefit learning mathematics, are sanguine, sanguine-phlegmatic and phlegmatic; While inferior temperament types, which don't benefit learning mathematics, are choleric, melancholic and choleric-melancholic. With the rising of grade, temperament types of benefiting learning mathematics converts from external directivity emotion balance to balance of internal-external directivity emotion stability. While temperament of no benefiting learning mathematics converts from internal directivity emotion balance to balance of internal-external directivity emotion instability; 3. In mathematics education, students' temperament difference, which affects learning mathematics, should be recognized. Mathematics teachers should find out the best teaching ways, forms and methods which are suitable for student's temperament type, so that the students with different temperament types can gain better mathematics academic achievement.

• East Asian mathematical journal
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• 제27권2호
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• pp.223-242
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• 2011

The fact that Herbart's education has realized in the educational context the Kant's theory of transcendental education by applying Kant's transcendentalism to education is of great significance for education. It also provides an implication for mathematics education that Herbart's education of mathematics education can be applied to mathematics education through an attempt to combine a practical ethics education and an aesthetic emotion education with mathematics education. Both Kant and Herbart clearly show that an only practical, aesthetic education would not exist as a solely theoretical mathematics education cannot. Therefore, these multi-dimensional aspects of mathematics education should be always considered as a whole although there could be a difference in importance among those aspects. It implies that, regardless of the environments for mathematics education, mathematics teachers and students must do mathematics education activities that take into consideration the humanity in its entirety. The theory of mathematics education based on Herbart's education reveals that the entireness of human being should not be neglected in any case. In this regard, Herbart's theory of education shows that mathematics education is an all-inclusive theory of mathematics education that embraces both phenomenon and transcendence.

• 수산해양교육연구
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• 제28권2호
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• pp.502-514
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• 2016

The purpose of this research is to identify the level of number sense, the attitude toward mathematics and the mathematics teaching efficacy of pre-service elementary special education teachers and to verify the mediation effect of mathematics teaching efficacy between number sense and attitude toward mathematics. 70 university students participated in research. The results from this study are as following: First, the level of number sense among pre-service elementary special education teachers was not so high. They had negative attitude toward mathematics and their mathematics teaching efficacy was on the average level. Second, positive correlationships were shown between number sense and attitude toward mathematics and between number sense and mathematics teaching efficacy. The mediating effect of the mathematics teaching efficacy in the relationship between number sense and attitude toward mathematics was found. The limitations of the study and directions for future studies were discussed.

• 한국수학사학회지
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• 제35권1호
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• pp.19-39
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• 2022

This paper aims to examine how the public perception of mathematics changed in England in the 19th century. As rapid industrial and social developments took place in the 19th century, the educational environment underwent great changes, and the value and public perception of mathematics also changed. Mathematics took a new position in the terrain of educational reform in the late 19th century. In this study, I analyzed the actual condition of mathematics education in elementary and secondary schools, popular educational institutions, and universities in England in the first half, middle, and second half of the 19th century, and compared what values and usefulness of mathematics education were justified in each institution. I also examined how satirical magazine Punch satirized the public understanding or view on mathematics at each period. It is to be hoped that this study will have significant implications for raising the public's positive perception of mathematics in modern society.

• 한국수학교육학회지시리즈A:수학교육
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• 제51권3호
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• pp.223-246
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• 2012

Korean Ministry of Education Science, and Technology(MEST) has recommended the introduction of mathematics textbooks based on storytelling to improve the teaching and learning of mathematics in school. As part of the mathematics textbooks based on storytelling development, this research has investigated school mathematics teachers' perspectives on mathematics textbooks based on storytelling in order to identify implications for the development and the implementation of it. For the purpose, we have developed survey questionnaire and administered it to 113 high school mathematics teachers. The survey asked the teachers to address their conception of mathematics textbooks based on storytelling, its contribution to school mathematics, challenges and obstacles for the implementation. The survey shows that the mathematics teachers' conception of mathematics textbooks based on storytelling was not clear or limited. Most of them replied that they received information about mathematics textbooks based on storytelling from the materials provided by workshop or materials of school district office. While the teachers heard about that school will implement mathematics textbooks based on storytelling, they rarely had idea of how to use them in class. In the survey, the teachers identified which type of storytelling is effective for which purpose of mathematics education. They also identified the positive effect and the difficulties in the implementation of mathematics textbooks based on storytelling. The mathematics teachers pointed out that textbook is not enough. They urged that the implementation of mathematics textbooks based on storytelling should be integrated into classroom teaching and assessment to make a significant change in the educational practice of mathematics in school. Thus, mathematics teachers need support to implement mathematics textbooks based on storytelling into their teaching practice. Teacher workshop and teacher manuals need to be developed to help teachers understand educational visions and values of mathematics textbooks based on storytelling. These results of the survey would form the worthwhile base information for the development and the implementation of mathematics textbooks based on storytelling.