• 한국수학교육학회지시리즈A:수학교육
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• 제58권1호
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• pp.21-39
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• 2019

This study examines the longitudinal effect of goal perception, mathematics class factors(perceptions about mathematics teachers (PMT), mathematics classroom attitude), and mathematics academic achievement. This study consists of three research models. First, we examined the longitudinal change of goal perception, perceptions about mathematics teachers (PMT), mathematics classroom attitude, and mathematics academic achievement using latent growth curve modeling. Secondly, the slope of PMT is a critical mediator between the slope of goal perception and the slope of mathematics academic achievement. Finally, the slope of mathematics classroom attitude is a critical mediator between the slope of goal perception and the slope of mathematics academic achievement. Data were extracted from Seoul Education Longitudinal Study from 2010 to 2012 (in three waves), and the analysis used by middle school students, measured by 4163 students of the three-wave surveys. Latent growth modeling was applied to verify the research problems. The results of the research are as follows. First, the slope of goal perception had positive and significant effects on the slope of PMT and mathematics classroom attitude, respectively. Second, the slope of PMT and mathematics classroom attitude had positively significant effects on the slope of mathematics academic achievement. Finally, it was confirmed that the slopes of PMT and mathematics classroom attitude are critical mediators between the slope of goal perception and the slope of mathematics academic achievement.

• 한국수학사학회지
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• 제29권1호
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• pp.45-69
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• 2016

In this study, we investigate integrated educations as an alternative educational method. I look around the developments of the integrated educations from MST education through STEAM education, especially in mathematics education. I analyzed integrated educations such as MST, STS, STEM, STEAM educations and compare them to each other, in mathematics education. And I discuss how to apply STEAM education to Korean mathematics education. I suggest a proper integrated education, in particular, STEAM education, as one that is suitable for Korean mathematics education.

• Journal of the Korean Data and Information Science Society
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• 제19권4호
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• pp.1397-1408
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• 2008

Mathematics develops the ability to solve a problem and the spirit of inquiry by logical thinking, and statistics develops the ability to making a decision scientifically or rationally by various data processing techniques. Even though mathematics is a compulsory subject in most of IT-related departments, the reality of Korean education is serious. This research studies on the necessity of mathematics/statistics education for a person studying IT and analyzes the contents of mathematics/statistics among IT-related subjects. And the research makes a plan for specializing IT-related departments by use of specialized education programs using mathematics/statistics and examines a development plan in the short or long term period for connectivity with mathematics/statistics fields. This connectivity between IT-related departments and mathematics/statistics in the 21st century would certainly contribute to creating more practical or technical knowledge.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제23권3호
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• pp.237-251
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• 2019

We extend the previous work [J. Korean Soc. Ind. Appl. Math. 21(3) 181] to two-and three-asset equity-linked securities (ELS). In the real finance market, two-or three-asset ELS is more popular than one-asset ELS. Therefore, we need to develop mobile platform for pricing the two-and three-asset ELS. The mobile implementation of the ELS pricing will be very useful in practice.

• 한국학교수학회논문집
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• 제19권1호
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• pp.21-41
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• 2016

교육부는 실생활 또는 판타지 맥락의 이야기를 활용하여 수학적 지식의 구성 동기를 제공하고 흥미를 유발하려는 스토리텔링을 주창하고 있다. 그러나 학교수학은 실생활이나 판타지 맥락과 직접적인 관련을 맺기 어려운 내용을 포함하기 때문에 그런 경우 수학적 사실들이 어떤 점에서 흥미로운지를 수학 내러티브로 구성하여 교수학습 하는 것이 긍정적 수학 정서 형성을 위한 한 가지 방안이 될 수 있다. 본 연구에서는 서울의 한 일반고에서 치러진 4회의 정기고사 문항들을 소재로 개발한 4건의 수학 내러티브를 정기고사가 끝날 때마다 한 건씩 그 시험을 치른 한 명 내지 5명의 학생들과 논의한 사례를 분석하여 수학 내러티브가 일반고 학생의 수학에 대한 정서에 미치는 영향과 그 개선 방향을 탐구하였다. 그 결과 4건의 수학 내러티브에 대한 논의에 꾸준히 참여한 한 학생의 수학에 대한 정서가 긍정적으로 변화하는 것을 관찰하였다. 이 학생의 변화와 다른 4명의 학생들의 반응으로부터 수학 내러티브의 개발과 적용에 대한 몇 가지 시사점을 논의하였다.

• 한국수학사학회지
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• 제30권4호
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• pp.247-258
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• 2017

The goal of this essay is to examine metaphors for mathematics and to discuss philosophical problems related to them. Two metaphors for mathematics are well known. One is a tree and the other is a building. The former was proposed by Pasch, and the latter by Hilbert. The difference between these metaphors comes from different philosophies. Pasch's philosophy is a combination of empiricism and deductivism, and Hilbert's is formalism whose final task is to prove the consistency of mathematics. In this essay, I try to combine two metaphors from the standpoint that 'mathematics is a part of the ecosystem of science', because each of them is not good enough to reflect the holistic mathematics. In order to understand mathematics holistically, I suggest the criteria of the desirable philosophy of mathematics. The criteria consists of three categories: philosophy, history, and practice. According to the criteria, I argue that it is necessary to pay attention to Pasch's philosophy of mathematics as having more explanatory power than Hilbert's, though formalism is the dominant paradigm of modern mathematics. The reason why Pasch's philosophy is more explanatory is that it contains empirical nature. Modern philosophy of mathematics also tends to emphasize the empirical nature, and the synthesis of forms with contents agrees with the ecological analogy for mathematics.

• 한국수학교육학회지시리즈A:수학교육
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• 제56권2호
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• pp.147-160
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• 2017

The purpose of this study was to examine (1) if sociocultural factors that are known to influence gender gap in mathematics achievement are gender equitable for Singaporean eighth grade students, (2) if there is a higher level of gender equitability in students' attitudes towards mathematics and (3) how sociocultural factors influence mathematics achievement for Singaporean eighth grade students. This study is based on 5,923 Singaporean eighth grade students who participated in TIMSS 2011 assessment. The study found that there were no statistically significant gender differences in 'parental involvement in education' and 'teacher efficacy.' There were no statistically significant gender differences in students' attitudes of 'like learning mathematics,' and 'value learning mathematics'. A significant gender difference was identified for the attitude of 'confident with mathematics.' The boys displayed a higher level of confidence in mathematics than the girls consistent with other study findings for Asian students. The degree of effect from 'parental involvement in education,' 'teacher efficacy,' and 'confident with mathematics' on mathematics achievement are found to be stronger for girls than boys. The finding implies that girls' mathematics achievement can benefit from having more positive encouragement and involvement of parents and teachers and strengthening confidence in mathematics.

• 한국수학사학회지
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• 제19권3호
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• pp.1-20
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• 2006

조선(朝鮮) 시대 수학에 관계된 행정 업무는 취재(取才)에 의하여 뽑힌 중인(中人) 산원(算員)들에 의하여 이루어졌다. 이들은 호조(戶曹)에 속하며, 직위는 계사(計士), 별제(別提), 훈도(訓導), 교수(敎授)이다. 산원(算員)들의 교육과 취재를 위하여 훈도(訓導)와 교수(敎授)들의 역할은 매우 중요하다. 주학선생안(籌學先生案)과 주학입격안(籌學入格案)을 통하여 훈도(訓導)와 교수(敎授)를 조사한다.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제20권2호
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• pp.207-214
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• 2006

수학의 논증수학과 실용수학으로 나누어 볼 수 있다. 우리나라의 수학은 실용수학에서 논증수학으로 그 성질이 변해 왔다고 볼 수 있는데 그 계기가 된 것이 개화기이다. 개화기에 새로운 수학이 등장하면서 겪게 된 변화를 살펴 본 결과, 첫째, 수학서의 내용과 형식은 서구의 방식을 따랐으나 수학을 대하는 태도는 전통적인 방식을 그대로 따랐다는 것, 둘째, 결과를 중요시하는 방식에 익숙해 과정을 중요시하는 증명을 어렵게 생각한다는 것, 셋째, 수학 그 자체를 즐기는 수학 문화가 필요하다는 결론에 이르게 되었다.

• 공학교육연구
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• 제16권1호
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• pp.54-63
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• 2013

This study aims to investigate relationships among self-directed learning readiness [SDLR], prerequisite mathematics test score and achievement level in college mathematics. For this purpose, the adjusted SDLRS (self-directed learning readiness scale) of Guglielmino's model, the score of mathematics diagnostic assesment and first semester college mathematics score among 424 freshmen students of engineering department of D university in 2011 were used and analyzed. Research results are as follows: Firstly, freshmen of engineering department had average level of SDLR, though they showed relative low level of self-direction, passion and time control ability. Secondly, considering SDLR with the mathematics diagnostic assesment score (3 groups: high, middle, low), there were no statistically significant differences. Thirdly, concerning SDLR according to the achievement level in college mathematics, a group which acquired good achievement showed higher level of SDLR compared with middle or lowachievement group. Differences among three groups were statistically significant. Lastly, there were affirmative relationships between SDLR, mathematics diagnostic assesment score and achievement in college mathematics. Furthermore, mathematics diagnostic assesment score and achievement level in college mathematics were found to be the most closely related. Based on the results, we suggest strategies to elevate SDLR of engineering department students and improve their achievement in college mathematics.