• Journal of the Korean School Mathematics Society
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• v.19 no.2
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• pp.177-196
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• 2016

In this paper, we analyze the influence of mathematics teaching-learning for high level math problems of A-type of mathematics section on the College Scholastic Ability Test(CSAT). To analyze the influence, we compare and analyze units and field of questions set at examinations based on the rate of wrong answers in A-type mathematics test of the CSAT from 2012 to 2016. Also, we study the recognition of academic high school students and teachers about units and fields on math which need to allow more time to improve grade for A-type of mathematics section on the CSAT. We found following facts. First, high level math problems determining rank of high rank students on the CSAT was taken mostly from the unit related a exponential function and a logarithmic function. Second, these problems need more time for a calculation rather than an ability for students to deepen their understanding of the concept and quality of education. Third, high rank students spend a lot of time to study more important units and fields of mathematics on the CSAT such as a exponential function and a logarithmic function, and teachers spend a lot of time to teach them.

• Interdisciplinary Bio Central
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• v.3 no.3
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• pp.10.1-10.8
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• 2011

Introduction: Hash functions are computer algorithms that protect information and secure transactions. In response to the NIST's "International Call for Hash Function", we developed a biological hash function using the computing capabilities of bacteria. We designed a DNA-based XOR logic gate that allows bacterial colonies arranged in a series on an agar plate to perform hash function calculations. Results and Discussion: In order to provide each colony with adequate time to process inputs and perform XOR logic, we designed and successfully demonstrated a system for time-delayed bacterial growth. Our system is based on the diffusion of ${\ss}$-lactamase, resulting in destruction of ampicillin. Our DNA-based XOR logic gate design is based on the op-position of two promoters. Our results showed that $P_{lux}$ and $P_{OmpC}$ functioned as expected individually, but $P_{lux}$ did not behave as expected in the XOR construct. Our data showed that, contrary to literature reports, the $P_{lux}$ promoter is bidirectional. In the absence of the 3OC6 inducer, the LuxR activator can bind to the $P_{lux}$ promoter and induce backwards transcription. Conclusion and Prospects: Our system of time delayed bacterial growth allows for the successive processing of a bacterial hash function, and is expected to have utility in other synthetic biology applications. While testing our DNA-based XOR logic gate, we uncovered a novel function of $P_{lux}$. In the absence of autoinducer 3OC6, LuxR binds to $P_{lux}$ and activates backwards transcription. This result advances basic research and has important implications for the widespread use of the $P_{lux}$ promoter.

• Interdisciplinary Bio Central
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• v.4 no.3
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• pp.10.1-10.12
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• 2012

Introduction: We investigated frameshift suppressor tRNAs previously reported to use five-base anticodon-codon interactions in order to provide a collection of frameshift suppressor tRNAs to the synthetic biology community and to develop modular frameshift suppressor logic devices for use in synthetic biology applications. Results and Discussion: We adapted eleven previously described frameshift suppressor tRNAs to the BioBrick cloning format, and built three genetic logic circuits to detect frameshift suppression. The three circuits employed three different mechanisms: direct frameshift suppression of reporter gene mutations, frameshift suppression leading to positive feedback via quorum sensing, and enzymatic amplification of frameshift suppression signals. In the course of testing frameshift suppressor logic, we uncovered unexpected behavior in the frameshift suppressor tRNAs. The results led us to posit a four-base binding hypothesis for the frameshift suppressor tRNA interactions with mRNA as an alternative to the published five-base binding model. Conclusion and Prospects: The published five-base anticodon/codon rule explained only 17 of the 58 frameshift suppression experiments we conducted. Our deduced four-base binding rule successfully explained 56 out of our 58 frameshift suppression results. In the process of applying biological knowledge about frameshift suppressor tRNAs to the engineering application of frameshift suppressor logic, we discovered new biological knowledge. This knowledge leads to a redesign of the original engineering application and encourages new ones. Our study reinforces the concept that synthetic biology is often a winding path from science to engineering and back again; scientific investigations spark engineering applications, the implementation of which suggests new scientific investigations.

• Korean Journal of Human Ecology
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• v.9 no.1
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• pp.1-12
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• 2000

이 프로젝트는 미국의 소수민족학생들의 과학과 수학의 수행능력과 흥미를 갖도록 혁신적인 교육전략을 개발하기 위한 준 실험설계연구이다. 연구대상은 중학교 7학년과 8학년 학생으로, 과학과 수학에 흥미가 있고 성적이 우수하며, 신체적으로나 기능적으로 장애가 있고, 소수민족이고, 경제적으로 빈곤한 계층이며 여학생을 우선조건으로 실험집단 52명, 비교집단 28명이 무선표집되었다. 연구대상 대부분(72명)이 흑인이고, 나머지(8명)는 히스파니아인이다. 연구내용은 1) 방과후 학술활동 2) 사회적 기술활동 3) 현장학습 4) 가족지원 프로그램을 실험집단에 실시한 후 실험집단과 비교집단의 학업성취도와 실험집단의 자아개념과 프로젝트 활동에 대한 평가를 분석한 것이며, 다음과 같은 연구결과를 얻었다. 1. 학업성취에 있어서 실험집단의 과학성적(CRT)이 통계적으로 비교집단보다 유의한 증가를 보였고, 프로젝트의 목표를 초과달성하였다. 비교집단도 자연적 성숙효과로 증가를 보였으나 유의도는 실험집단보다 낮았다. 2. 학생들의 프로젝트에 대한 평가는 긍정적이었다. 프로젝트 목적과 명확성, 현장학습의 적절성, 게임이나 학술활동보다 현장학습의 선호, 특히 자아존중감 활동이 많은 도움이 되었다고 보고하였다. 3. 실험집단의 자아개념은 프로젝트 기간동안 통계적으로 유의한 증가를 보였으나 학업 성취와의 상관관계는 유의하지 않았다. 이상의 연구결과를 토대로 이 프로젝트의 한국적 상황의 적용에 대한 시사점을 얻을 수 있었다.

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.793-803
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• 2005

In this paper, we study the effectiveness of college mathematics education by counseling freshman. And we discuss the effectiveness that the college mathematics education can be promoted throughout counseling freshman and by teaching examples in engineering mathematics in courses of calculus and differential equation and linear algebra.

• Communications of Mathematical Education
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• v.21 no.4
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• pp.647-661
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• 2007

In this paper, we study the role of college mathematics education in summer and winter school. And we discuss the effectiveness that the college mathematics education can be promoted throughout the summer and winter school course.

• Journal for History of Mathematics
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• v.28 no.3
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• pp.119-132
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• 2015

This survey is the second part of the history of science of Song and Yuan dynasties and will covers the period from Jin to Yuan. Following the first part, we look at the calendrical astronomy, mathematics and medicine. In this survey we again follow Yabuuchi's work on the history of science of Song and Yuan period and Du Shiran's work on the history of science of China. We start from the sciences and mathematics of Jin which inherited those of Northern Song and see how they influenced the whole China including Yuan and Southern Song. As a conclusion the tendency to practical usages in the Southern Song as well as the suppression of Han people in Yuan prevented developments of theoretical sciences in Yuan and Ming later.

• The Mathematical Education
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• v.42 no.5
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• pp.647-672
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• 2003

This study sought to determine the impact of the graphing calculator on prospective math-teachers' mathematical thinking while they engaged in the exploratory tasks. To understand students' thinking processes, two groups of three students enrolled in the college of education program participated in the study and their performances were audio-taped and described in the observers' notebooks. The results indicated that the prospective teachers got the clues in recalling the prior memory, adapting the algebraic knowledge to given problems, and finding the patterns related to data, to solve the tasks based on inductive, deductive, and creative thinking. The graphing calculator amplified the speed and accuracy of problem-solving strategies and resulted partly in students' progress to the creative thinking by their concept development.

• Honam Mathematical Journal
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• v.4 no.1
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• pp.147-154
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• 1982

Estimation methods of missing points for an experimental design are described. Formulae are provided for the estimation of missing points using matrix notation. The correct analysis of variance table is given. Estimation methods of a single missing point and two missing points in $2^{n}$ factorial designs are described.

• Journal of the Korean Mathematical Society
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• v.48 no.6
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• pp.1327-1328
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• 2011