• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제24권1호
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• pp.79-84
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• 2020

In this article, we implement a recently developed fast Monte Carlo simulation (MCS) for pricing equity-linked securities (ELS), which is most commonly issued autocallable structured financial derivative in South Korea, on the mobile platform. The fast MCS is based on Brownian bridge technique. Although mobile platform devices are easy to carry around, mobile platform devices are slow in computation compared to desktop computers. Therefore, it is essential to use a fast algorithm for pricing ELS on the mobile platform. The computational results demonstrate the practicability of Android application implementation for pricing ELS.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제26권4호
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• pp.343-352
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• 2022

We present the user-friendly graphical user interface design and implementation of Monte Carlo simulation (MCS) for computing option price of the four-underlying asset step-down equity linked securities (ELS) using the Android platform. The ELS has been one of the most important and influential financial products in South Korea. Most ELS products are based on one-, two-, and three-underlying assets. However, currently there is a demand for higher coupon payment from ELS products because of the increased interest rate in financial market. In order to allow the investors to have higher coupon payment, it is necessary to design a multi-asset ELS such as four-asset step-down ELS. We conduct the computational experiments to demonstrate the performance of the Android platform for pricing four-asset step-down ELS. Furthermore, we perform a comparison test with a three-asset step-down ELS.

• East Asian mathematical journal
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• 제38권4호
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• pp.415-437
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• 2022

Recently, various platforms of education technology (Edu-Tech) that use artificial intelligence have been developed in the field of mathematics education. The case study in this paper reports the learning experience of a high school student who was directed to learn mathematics through the self-directed learning process provided by a mathematics learning platform using Edu-Tech with the intervention of mentoring provided by his teacher. The study found that the mentoring intervention could make an effective contribution to student's mathematics learning by playing the role of an auxiliary tool for the self-directed learning over time. In this paper, we explain the nature of the challenges that the student encountered in the process of self-directed learning and the roles that the teacher mentoring has played in this process.

• 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.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제36권3호
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• pp.417-438
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• 2022

본 연구의 목적은 개별화 맞춤형 수학 학습을 지원하는 AI 기반 플랫폼 활용 시 고려해야 할 교수·학습에 관한 시사점을 제안하는 것이다. 이를 위해 국내·외 공교육에서 활용되고 있는 플랫폼 5개(똑똑!수학탐험대, 노리AI스쿨수학, 칸 아카데미, MATHia, CENTURY)를 분석대상으로 선정하여, AI 기반 수학교육 플랫폼이 개별화 맞춤형 학습을 지원하기 위한 세 가지 요소(PLP, PLN, PLE)를 어떻게 반영하고 있는지를 분석하였다. 그 결과, 각 플랫폼에서 구현하고 있는 PLP, PLN, PLE의 특징은 다양했지만, PLP와 PLN을 바탕으로 학습자가 자율적으로 학습에 대한 의사결정을 내릴 수 있는 PLE를 형성할 수 있도록 설계된 것으로 분석되었다. 본 연구의 의의는 AI 기반 수학교육 플랫폼을 활용하는 개별화 맞춤형 수학 학습에 대한 이해도와 실천 가능성을 높였다는 데에서 찾을 수 있다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제21권3호
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• pp.181-202
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• 2017

In this paper, we develop a mobile platform for pricing equity linked securities(ELS) using Monte Carlo simulation. Mobile phone or smartphone is an important part of most people's lives and has become an everyday item at the present day. Moreover, importance of technologies for anytime and anywhere is increasing daily. Thus, we construct a mobile computing environment for pricing ELS instead of desktops or laptop computers. We provide a detailed Java programming code and a process manual to easily follow up all processes of this paper.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제36권1호
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• pp.1-21
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• 2022

본 연구는 디지털 기술의 본격 활용에 따라 시간과 장소에 구애받지 않는 유연한 학습 환경 구축의 방안으로 제안되고 있는 에듀테크가 수학 교과에서 활용되기 위하여 그 현황을 분석하는 데 목적이 있다. 이에 따라 국내외 에듀테크 현황 및 활용 동향을 확인하며, 수학교과에서 활용되는 에듀테크 플랫폼의 기능과 그 역할을 분석하였다. 분석 결과, 에듀테크 플랫폼은 위계적 학문인 수학교육에서 학습자 개별 맞춤 학습에 유용할 수 있도록 그 기능을 구축해 나가고 있으며, 나아가 학습자의 자기주도학습을 추구하고 있었다. 또한 각 수업 단계에 맞는 활동 및 평가가 가능하여 교사의 업무경감 및 학습관리와 역량 강화 수업 등에 유용할 수 있도록 발전되어가고 있음을 확인하였다. 따라서 향후 이러한 플랫폼을 효율적으로 활용할 수 있는 교수설계 및 학생의 개별 맞춤형 학습 지원 활용 방안이 함께 수행되어질 필요가 있다.

• Journal of the Korean Data and Information Science Society
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• 제26권2호
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• pp.475-486
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• 2015

Mining the microarray data accumulated in the public data repositories can save experimental cost and time and provide valuable biomedical information. Big data analysis pooling multiple data sets increases statistical power, improves the reliability of the results, and reduces the specific bias of the individual study. However, integrating several data sets from different studies is needed to deal with many problems. In this study, I limited the focus to the cross platform classification that the platform of a testing sample is different from the platform of a training set, and suggested a simple classification method based on rank. This method is compared with the diagonal linear discriminant analysis, k nearest neighbor method and support vector machine using the cross platform real example data sets of two cancers.

• East Asian mathematical journal
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• 제39권4호
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• pp.419-436
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• 2023

In this study, we aimed to develop a teacher-adaptive platform model that enhances teachers' instructional activities and teaching capabilities, allowing them to conduct intended lessons effectively. The platform is designed to support various teaching and learning activities based on the instructional situation, and additionally provides teaching and learning materials, assessment questions, and results. The developed teaching and learning platform utilized Moodle, an open-source-based LMS solution that provides various tools for online learning. The platform was specifically designed for teaching conic sections in high school geometry, and it was constructed to enable teachers to deliver their intended lessons effectively.

• 한국수학교육학회지시리즈A:수학교육
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• 제59권4호
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• pp.373-387
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• 2020

본 연구의 목적은 학습 빅데이터 분석을 통해 추천 알고리즘을 스스로 고도화하는 머신러닝 추천모듈이 적용된 개인 맞춤형 학습 플랫폼이 학생들의 학습시간, 자기주도적 학습능력, 수학에 대한 태도, 수학학업성취도에 미치는 영향과 이들 사이의 구조적 관계를 검증하는 것이다. 연구 결과 개인 맞춤형 학습은 학생들의 학습시간, 자기주도적 학습능력, 수학에 대한 태도, 수학학업성취도에 대해 긍정적인 영향을 미치고 있었다. 또한, 맞춤형 학습과 수학에 대한 태도와 수학학업성취도의 관계에서 학습시간과 자기주도적 학습능력의 매개효과가 유의하였다.