• The Mathematical Education
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• v.58 no.1
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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.

• Journal for History of Mathematics
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• v.29 no.1
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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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• v.19 no.4
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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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• v.23 no.3
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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.

• Journal of the Korean School Mathematics Society
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• v.19 no.1
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• pp.21-41
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• 2016

Ministry of Education has proposed storytelling in context of the actual or fantasy for the sake of fun and easy mathematics education. However most of school mathematics is not associated with the real life. In that case it could be one method for cultivating positive affects about mathematics that we make up and apply mathematics narrative with which we can reveal what makes mathematics interesting. In this study, among every problem in every examination in four regular examination that targeted the first-year of one ordinary high school in Seoul, I elected a total of four problems, and wrote a total 4 of mathematics narratives. I analysed a case on a few students with which I had conversations after teaching those 4 number of mathematics narratives, and studied mathematics narrative's influences on affects about mathematics of ordinary high school students. As a result, from one of a few students we could observe that his mathematical emotional mind had varied positively. From the student and the other students who had been engaged I discussed some implications and some points to be improved about making up and applying mathematics narrative for cultivating positive affects about mathematics.

• Journal for History of Mathematics
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• v.30 no.4
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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.

• The Mathematical Education
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• v.56 no.2
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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.

• Journal for History of Mathematics
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• v.19 no.3
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• pp.1-20
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• 2006

The administrative service in Chosun Dynasty relating to mathematics was carried out by the middle class(中人) mathematicians selected by the official selection examination(取才). They belong to HoJo(戶曹) department and their ranks are GyeSa(計士), ByulJe(別提), HunDo(訓導 = mathematics teacher), and GyoSu(敎授 = mathematics professor). We call them SanWon(算員). HunDo and GyoSu played very important role although their ranks are low, for they educate SanWon and manage the official selection examination. Using JuHakSeonSaengAn(籌學先生案, List of mathematics teachers) and JuHakIpGyukAn(籌學入格案, List of successful candidates in the official selection examination for mathematics), we investigate HunDo and GyoSu in Chosun Dynasty.

• Communications of Mathematical Education
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• v.20 no.2 s.26
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• pp.207-214
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• 2006

Mathematics can be divided into practical mathematics and logical mathematics. The 'Enlightenment Period' is the period in which our mathematics shifted from practical mathematics to logical mathematics. Considering the change of our school mathematics and mathematics education in the enlightenment period, we reach the following conclusions. First, the contents and forms of mathematics books followed to Western style, but the attitudes adhered to on. Second, making much of results than process, we are afraid of proof. Third, we necessitate the mathematics culture of enjoying itself.

• Journal of Engineering Education Research
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• v.16 no.1
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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.