• Title/Summary/Keyword: College mathematics Education

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Meaning and Realization of the Socratic Method - Application to Teaching-Learning of Complex Natural Exponential Function - (소크라테스 방법의 의의와 실천 - 복소지수함수의 교수.학습에의 적용 -)

  • Kim, Seong-A;Jeong, Moon-Ja
    • The Mathematical Education
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    • v.49 no.4
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    • pp.423-436
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    • 2010
  • In this paper we discuss the Socratic method from the aspects of subject education and examine the meaning of the method in mathematics education that is the most suitable subject for the realization of the Socratic method. In addition, as a realization of the Socratic method, we conducted a teaching-learning experiment of complex natural exponential function with a 2nd year college student. The results of the experiment are analyzed with the intention of improving instruction of the complex analysis that is one of the college mathematics courses.

A Study on the relation between Mathematical Scholastic Ability and Scholastic Aptitude Test (수학 기초학력과 대학수학능력시험 수리영역 성적의 관계 연구)

  • Lee, Jung-Rye;Lee, Gyeoung-Hee
    • Communications of Mathematical Education
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    • v.25 no.4
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    • pp.629-639
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    • 2011
  • Currently science and technology are changing so fast and college mathematics becomes more and more important. But the downturn of freshmen's scholastic performance has been intensified and this phenomenon leads to serious problems in managing college curriculums. During the recent years at a middle level engineering college, many freshmen had a lot of difficulties in their mathematics courses. In consequence, many of them had hard time to survive at their major curriculums. In this point of view, we analyse the situation of mathematical scholastic ability among engineering majored freshmen through the research on the actual state of mathematical background, mathematical scholastic ability test, college mathematics scores, and scholastic aptitude test scores. We study the relation between the mathematics score of scholastic aptitude test for the college entrance and mathematical scholastic ability of freshmen of a middle level engineering college. From this study we conclude that the essential reasons for the above situations are the curriculum of middle school mathematics and the system of scholastic aptitude test and the entrance examination of university. In order for improving mathematical accomplishment. we give suggestions such as a learning ability improvement program in mathematics.

Getting over the Atlas Complex: A College Professor's Reflective Journey Through Journalizing of her own Teaching

  • Liu, Gloria;Jeon, Kyungsoon
    • Research in Mathematical Education
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    • v.6 no.2
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    • pp.123-133
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    • 2002
  • The authors examined a college mathematics professor's change process in teaching practice by analyzing the teacher's reflective journal. Her change engaged cooperative learning method in a college Algebra course and was geared toward the reform-oriented methods. The change processes were revealed as a bumpy road that was full of struggles and challenges to both the teacher and students. The analysis also showed that a reflective journey needed a proper means and support system from a teacher's environment such as institution. This research clearly showed that brining a genuine change in teaching practice toward a broad educational goal was a combined effort among the participants of education.

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A Study on improving Ways for Mathematics Teacher Education in Korea (중등 수학교사 교육의 현황과 대책)

  • 이상건
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.509-526
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    • 1998
  • school mathematics is based on the premise that teacher have extensively complex mathematics content and pedagogical content knowledge to employ teaching to facilitate students' conceptualization of mathematics knowledge. In this paper we have presented the realities of teacher education program about several countries and three source area in teaching school mathematics. As a result we suggest that for developing mathematics teacher education First, communities have to hold teachers in high esteem due to confucian heritage. Second, our university have t provide one year internship for training for practices and the use of interactive multimedia simulation. Third, college courses have to help students discard misunderstanding knowledge and briefs about mathematics and pedagogy they bring to the university. Fourth, our country have to reform teacher education system. Fifth, the government have to pay the tuition costs for more students.

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Students' Visual Representation of Mathematics

  • Trance, Naci John C.;Marapo, Roger B.;Pornel, Jonny B.
    • Journal of The Korean Association For Science Education
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    • v.32 no.8
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    • pp.1318-1332
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    • 2012
  • This paper takes another approach in assessing students' perception of mathematics. Instead of asking for verbal description of the students' perception of mathematics, we asked the respondents who were all college students to draw their perception of mathematics. This relatively new approach enabled students to take a second look of how they perceived math and, at the same time, explored students' creativity and provided a less austere appearance to mathematics which was taken usually in a more formal and severe manner. This approach of assessing students' perception of mathematics generated new information that could not be normally gleaned from other approaches like Likert Scale. Some drawings of mathematics of the respondents reinforced their math affect towards mathematics. For those who hated math, their drawings revealed so the same is true with those who loved mathematics. Examining the visual representations of mathematics and looking for commonalities, the researcher found a number of interesting themes that may shed some light to educators' understanding of students' math affect.

On the awareness of mathematics by college students and a suggestion to elevate such awareness in universities (대학생들의 교양수학에 대한 인식과 교양수학의 긍정적 인식변화를 위한 방안)

  • Park, Hyung-Bin;Lee, Heon-Soo
    • Communications of Mathematical Education
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    • v.23 no.4
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    • pp.999-1014
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    • 2009
  • In this paper, we made an investigation into the awareness of mathematics by college students, they took a course in mathematics as the liberal arts. Mathematics as the liberal arts is divided into 2 types: mathematics focused on calculus or statistics, and living mathematics except them. We researched mathematics as the liberal arts on a curriculum in several universities and analyzed them. From these results, we suggest the improvement of mathematics as the liberal arts in university.

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Conceptualizing the Realistic Mathematics Education Approach in the Teaching and Learning of Ordinary Differential Equations

  • Kwon, Oh-Nam
    • Research in Mathematical Education
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    • v.6 no.2
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    • pp.159-170
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    • 2002
  • The undergraduate curriculum in differential equations has undergone important changes in favor of the visual and numerical aspects of the course primarily because of recent technological advances. Yet, research findings that have analyzed students' thinking and understanding in a reformed setting are still lacking. This paper discusses an ongoing developmental research effort to adapt the instructional design perspective of Realistic Mathematics Education (RME) to the teaching and learning of differential equations at Ewha Womans University. The RME theory based on the design heuristic using context problems and modeling was developed for primary school mathematics. However, the analysis of this study indicates that a RME design for a differential equations course can be successfully adapted to the university level.

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Future Mathematics Teacher's Carrying Out a Mathematics Class Using a Socrates' Method (예비수학교사의 산파법 적용 수학 수업 실행)

  • Kim Nam-Hee
    • School Mathematics
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    • v.8 no.1
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    • pp.89-106
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    • 2006
  • In this research, we investigated the effects of mathematics education in using Socrates , method in a course of mathematics education in teacher's college. And we proposed some suggestions for education of future mathematics teachers. This study was conducted with 44 university students(third grade) who entered the department of mathematics education (future mathematics teachers) in 2005. We took a course in curriculum that was required for the future mathematics teachers in my department. In this course, we began with the reading the famous dialogue between Socrates and Meno's slave. And we analysed Socrates' questioning of Meno's slave and tried to understand what this dialogue is implicating in mathematics education. All the participants in this course was divided 11 groups. Each group designed a school mathematics class plan using Socrates' method and practiced their teaching plan by a performance(students' announcements). Through the analysis of research data. Five effects of mathematics education in using Socrates' method for future mathematics teachers were induced. Therefore, we suggest that future mathematics teacher need to have many opportunity to design and practice a mathematics teaching plan by using mathematics teaching-learning methods taught in their course.

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Mathematics Curriculum Reform and Power: A Case Study

  • Zhang, Xiaogui
    • Research in Mathematical Education
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    • v.11 no.1
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    • pp.53-63
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    • 2007
  • Mathematics curriculum reform is very important, and it can be understood well by power. This paper uses the extended Foucault's power theory as foundations to view mathematics curriculum reform. The research's case is China's ongoing mathematics curriculum reform. Through analyzing the power relationships in China's ongoing mathematics curriculum reform, the paper thinks that power's balance is very important in mathematics curriculum design, because it will affect the designed curriculum.

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The Effects of Maker Class Factors in University on Interest in Mathematics and Attitude to Mathematics (대학수학의 메이커수업 요인이 대학생의 수학에 대한 흥미와 태도에 미치는 영향)

  • Kim, Dong-Ryool
    • Journal of Convergence for Information Technology
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    • v.10 no.10
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    • pp.183-195
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    • 2020
  • In this study, the objective of this study is to verify the effects between lecturer's capability, education program, education service, and physical educational environment factors, and university students' interest in and attitude toward mathematics. A survey was conducted on 228 male and female students in science and engineering majors attending universities in the Pusan metropolitan area, and empirical analysis was conducted using the SPSS 26.0 program. The research results are as follows. First, among the characteristics of college mathematics maker classes, instructor competency (β=.349, t=6.380, p<.001), educational program (β=.361, t=5.650, p<.001), and physical educational environment (β=.196, t=3.281, p<.01) had a significant positive (+) effect on college students' interest in mathematics. Second, the factors of interest (β=.349, t=6.380, p<.001) in college mathematics maker classes were found to have a significant positive (+) effect on college students' attitudes toward mathematics. Third, among the characteristics of college mathematics maker classes, instructor competency (β=.340, t=6.365, p<.001), educational program (β=.352, t=5.559, p<.001), physical educational environment (β=.226, t=3.537, p<.01) was found to have a significant positive (+) effect on college students' attitudes toward mathematics. Through the results of this study, it was concluded that when the level of education program and teaching ability of the university mathematics maker class are high and the physical educational environment is excellent, it can have a positive effect not only on the university student's attitude towards mathematics but ultimately on the attitude of mathematics.