• 제목/요약/키워드: College Math Education

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FURTHER SUMMATION FORMULAS FOR THE APPELL'S FUNCTION $F_1$

  • CHOI JUNESANG;HARSH HARSHVARDHAN;RATHIE ARJUN K.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제12권3호
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    • pp.223-228
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    • 2005
  • In 2001, Choi, Harsh & Rathie [Some summation formulas for the Appell's function $F_1$. East Asian Math. J. 17 (2001), 233-237] have obtained 11 results for the Appell's function $F_1$ with the help of Gauss's summation theorem and generalized Kummer's summation theorem. We aim at presenting 22 more results for $F_1$ with the help of the generalized Gauss's second summation theorem and generalized Bailey's theorem obtained by Lavoie, Grondin & Rathie [Generalizations of Whipple's theorem on the sum of a $_3F_2$. J. Comput. Appl. Math. 72 (1996), 293-300]. Two interesting (presumably) new special cases of our results for $F_1$ are also explicitly pointed out.

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대학 과학 학습에 영향을 주는 요인에 대한 대학생과 고등학교 과학교사의 인식 (Perspectives of College Students and High School Science Teachers on Factors Affecting College Science Learning)

  • 홍미영;강남화;김주아
    • 대한화학회지
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    • 제55권5호
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    • pp.875-881
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    • 2011
  • 이 연구에서는 자연과학을 전공하는 대학생과 고등학교 과학교사를 대상으로 대학에서의 과학 학습에 영향을 주는 요인과 고등학교 과학교육 개선 방향에 대한 인식을 알아보았다. 대학생들은 전공별로 대학에서의 과학 학습에 주는 영향을 주는 요인에 대해 다른 양상을 보이는 것으로 나타났다. 물리학과의 경우에는 수학 능력과 논리적 사고력, 화학과와 생물학과의 경우에는 영어 능력과 기초 과학 지식이 대학에서 공부하는 데 큰 영향을 준다고 인식하는 경향이 있었다. 대학생과 과학 교사 두 집단 모두 기초 과학 지식과 수학 능력이 대학에서의 과학 학습에 크게 영향을 준다고 인식하는 것으로 나타났다. 대학에서의 성공적인 과학 학습을 위한 과학교육 개선 방안으로, 대학생들은 탐구 기회 확대, 과학교사들은 선택과목의 필수 이수 확대라고 각각 응답하여 두 집단 간 다른 양상을 나타내었다.

통계학과 통계교육 강의가 초등 예비교사들의 통계적 태도에 미치는 효과 (Effects of Statistics and Statistical Education Course on Elementary Pre-service Teacher's Statistical Attitudes)

  • 이종학;김상룡;최재호
    • East Asian mathematical journal
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    • 제31권4호
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    • pp.547-568
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    • 2015
  • The purpose of this study is to analyze whether statistics and statistical education of intensive courses at the teachers college can improve elementary pre-service teacher' statistical attitudes. Findings on this study are as follows: First, there was meaningful difference in the elementary pre-service teacher' attitudes with significant level of 0.05. This proved that statistics and statistical education of intensive courses at the teachers college was effective on improving elementary pre-service teacher' attitudes. Second, there was meaningful difference in the pre-service math teacher' conception in the 2009 reformed curriculum for elementary mathematics.

중학교 1 학년 수학교과서에 나타난 스토리텔링 특성에 대한 분석 (An analysis on 'storytelling' shown on the first grader's mathematics textbooks of the middle school)

  • 고상숙
    • 한국수학교육학회지시리즈A:수학교육
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    • 제52권2호
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    • pp.149-161
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    • 2013
  • This study was to focus on analyzing about the composition of storytelling in the first graders' math textbooks of the middle school, which were recently implemented. The textbooks published by three well known publishing companies were chosen and three graduate students had scored the frequency of the problems according to three types of storytelling. As the results, in areas of mathematics, Number & Operation(44.23%), Letters & Formula(44.53%), Function(46.53%), Probability(41.67%), Geometry(46.23%) showed to have storytelling in balance. The type of 'explosion of mathematical history(EMH)' was shown in geometry most, the type of 'connection to daily life(CDL)' in statistics most, and the type of integration of disciplines(ID)' in geometry most in 5 math areas. Among three types of storytelling, the type of EMH was shown fewer that other 2 types. If we develop more problems in this type, students would study mathematics in-depth according to Freudenthal's principle of historical reinvention.

이공계 신입생의 수학 기초학력과 학업 성취도에 관한 연구 (A Study on the relationship between freshmen's achievements of general mathematics and BMDT)

  • 박형빈;정인철;이헌수
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권3호
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    • pp.329-341
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    • 2010
  • In this paper, we analyzed the freshmen's achievements on general mathematics their GPA based on 'basic mathematics diagonal test score'. Also, we studied the achievements of students who were not passed the 'Basic Mathematics Diagonal Test (BMDT)' and had to take supplementary lessons to improve their mathematics abilities four times a week during the first semester of academic year 2008 in Mokpo National University. Before taking college entrance exam, high school students had to choose two types of scholastic area. One is on 'Ga' or 'Na' in mathematics and the other is on Natural Science or Social Science. According to the types, we classified the freshman-Ga or Na and NS or SS. We found some facts. First, a few of Ga and NS freshmen had low score on the BMDT. Second, Na and NS freshman got higher score than Na and SS freshmen on the BMDT. Third, Ga and NS freshmen who passed the BMDT got higher score on the general mathematics than those who failed the BMDT. Finally, there are correlations between achievements of general mathematics and a curriculum of freshmen who were passed test after taking supplementary lessons.

COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS WITHOUT CONTINUITY IN MENGER SPACES

  • Sharma, Sushil;Deshpande, Bhavana
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제10권2호
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    • pp.133-144
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    • 2003
  • The aim of this paper is to prove some common fixed point theorems for the class of compatible maps to larger class of weakly compatible maps without appeal to continuity in Monger spaces and we also give a set of alternative conditions in place of completeness of the space. We improve and extend the results of Dedeic & Sarapa [A common fixed point theorem for three mappings on Monger spaces. Math. Japon. 34 (1989), no. 6,919-923] and Rashwan & Hedar [On common fixed point theorems of compatible mappings in Monger spaces. Demonstratio Math. 31 (1998), no. 3, 537-546].

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학습역량 저하 공과대학 신입생을 위한 기초역량 증진 복습교과목 개발 및 효과성 분석 (Development and Effectiveness Analysis of a Review Course to Enhance Basic Competencies for Freshmen with Reduced Learning Ability in the College of Engineering)

  • 김기대
    • 공학교육연구
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    • 제25권4호
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    • pp.35-41
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    • 2022
  • In order to enhance basic competencies for freshmen at engineering college, whose learning ability is gradually declining, a new course was developed to review basic mathematics and physics through a process of collecting opinions from fellow professors. Tests in six fields of math and physics with the same problems showed the correct answer rate rose from 24.8% at the beginning of the semester to 59.0% at the end of the semester after operating the course developed. According to the survey, the students' self-evaluated confidence on the basic competencies in 16 fields of math and physics showed a significant increase. Students with high confidence in basic competencies also received high actual grades. General high school graduates' confidence point in basic competencies improved from 54.7 at the beginning to 75.3 points at the end of the semester, while specialized high school graduates' enhanced from 38.3 to 64.0 which is higher than that of general high school graduates at the beginning of the semester.

ON THE STABILITY OF THE GENERAL SEXTIC FUNCTIONAL EQUATION

  • Chang, Ick-Soon;Lee, Yang-Hi;Roh, Jaiok
    • 충청수학회지
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    • 제34권3호
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    • pp.295-306
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    • 2021
  • The general sextic functional equation is a generalization of many functional equations such as the additive functional equation, the quadratic functional equation, the cubic functional equation, the quartic functional equation and the quintic functional equation. In this paper, motivating the method of Găvruta [J. Math. Anal. Appl., 184 (1994), 431-436], we will investigate the stability of the general sextic functional equation.

대학 교양수학에서 수업시간대와 학업성취도의 관계 연구 (A Study on the Relationship between Lecture Time and Academic Achievement in College Mathematics Courses)

  • 나광수;김동호;김재덕;심호진;문은호
    • 공학교육연구
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    • 제22권3호
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    • pp.41-48
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    • 2019
  • The purpose of this study is to examine how academic achievement in college math courses differ depending on when the course takes place. As a result, based on years of data analyses on students' academic achievement, it was affirmed that achievement levels differ due to environmental factors despite the diverse efforts of instructors and students. By further analyzing the causes of these differences, this study suggests solutions for improving the different academic achievement levels.

Flipped Learning이 대학수학의 학업성취도에 미치는 영향 (Flipped Learning mathematics impact on the University Academic Achievement)

  • 김동률
    • 한국융합학회논문지
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    • 제8권6호
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    • pp.209-218
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    • 2017
  • 대학기초수학 교과목은 많은 대학에서 필수 과목으로 개설 운영하고 있으나 학업 성취도가 낮은 학생들에게는 수학을 포기하는 경우가 많아지고 있어 대안적 방법으로 학생들이 자기 주도적으로 흥미를 갖고 협업을 통해 과제를 해결하도록 하는 학습자 중심 교수법으로 잘 알려진 Flipped Learning이 제시되고 있다. 따라서 Flipped Learning 수업을 본 교과목에 적용함으로써 강의식 수업의 문제점을 보완하여 학습능력을 향상하고 수학에 대한 흥미를 높일 수 있는지 그 효과성을 알아보고자 하였다. 본 연구에서는 Flipped Learning 수업을 적용한 실험집단과 기존 강의식 수업을 적용한 통제집단의 비교연구에서 교육적 효과성을 알아본 결과 첫째, 단원테스트 결과에서는 실험집단이 통제집단보다 평균이 20점 이상 높게 나타나 학습능력 향상에 큰 효과가 있는 것으로 나타났고 둘째, 성찰저널 분석에서도 통제집단과 달리 실험집단에서는 어렵게만 느꼈던 수학에 대한 태도에도 긍정적인 의견의 내용이 많이 나와 흥미도 향상에도 효과가 있었다.