• 제목/요약/키워드: 수학강좌

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Development and application of mathematics teaching-learning model considering learning styles of the students of engineering college (공과대학생들의 학습양식을 고려한 수학 교수-학습 모형 개발 및 적용)

  • Jeong, Suyoun;Kang, Yunsoo
    • Communications of Mathematical Education
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    • v.27 no.4
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    • pp.407-428
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    • 2013
  • The purpose of this research is to develop an effective teaching-learning model and suggest efficient methods for improving the learning abilities in mathematics of the students of engineering college. For this purpose, we examined their learning styles and learning attitudes toward Mathematics, which are important factors in teaching-learning process, and analyzed the relation between them. As a result, we found that participants had a disposition of being dependent and highly participating, so we made an effort to develop a teaching-learning model which can make the students active and highly involved in. After applying the developed teaching-learning model to Engineering Mathematics class for one semester, we conducted survey of the participants' responses. In conclusion, we found that this model is very helpful for Engineering students to utilize a self-directed learning by diagnosing and adjusting their learning process in Meta-cognitive way. Also, it is confirmed that this model has a considerable influence in which students can actively participate in class and have positive attitude to Mathematics learning.

The Issues of the Elementary School Teacher Recruitment Examination (교대 수학심화과정에서 본 초등교원 임용고사의 문제점)

  • Lee, Eui-Won
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.659-680
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    • 2010
  • Under the banner "Toward Global Excellence in Teacher Education", Daegu National University of Education has strived for the single aim of excellence in pre-service and in-service for over fifty years. Specially the department of Mathematics education aims to develope students' mathematical power which is related to elementary school mathematical concepts & theories. However not a few of the students seem to have test-anxiety which is relate to teacher recruitment examination. In these view, we conclude that students must have been suffered from test anxiety. Consequently the results of the study are follow. $\cdot$ 2nd paper-pencil test of the elementary school teacher recruitment(2010) has been emphasized on statement of examinee logocal thought about all 10 subjects. $\cdot$ 3rd test of the elementary school teacher recruitment(2010) has been focused on only speaking english of examinee. Thus we conclude that these Recruitment Examination(2010) couldn't minimize the test anxiety of the students. Therefore next test of the elementary school Teacher Recruitment should contain on mathematical problem-solving in elementary school mathematics textbooks.

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A Study on the Effect of Visual Communication Utilizing Smartphones on Basic Mathematics Education at the Tertiary Level (대학기초수학 수업에서 스마트폰을 활용한 시각적 의사소통이 수학교육에 미치는 영향 연구)

  • Hong, Ye-Yoon;Im, Yeon-Wook
    • Journal of Digital Convergence
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    • v.14 no.10
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    • pp.53-60
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    • 2016
  • This study investigated the effect of visual mathematics education using smartphones and immediate feedback through SNS on students' understanding of basic mathematical concept and academic achievement at the tertiary level. Researchers analyzed the test results of 214 students' mid-term and final examination in 4 classes consisted of 16 weeks' classes with two hours per week. Also their 30 questionnaire survey results were analyzed. The result reveals that classes using smartphones promoted understanding mathematical concepts and induced students' motivation and affirmative reaction. This study implies that an appropriate use of technology will support dynamic visualization of mathematical modeling and its interpretation, which enables students' active participation and deeper understanding.

A Study on Mathematics Instructional Design and Development of Information and Communication Technology for Prospective Elementary School Teachers (교원양성프로그램에서 ICT활용 교수·학습과정안 개발 연구 -초등수학교과를 중심으로-)

  • Pang, JeongSuk;Kim, Min Kyeong
    • The Journal of Korean Association of Computer Education
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    • v.8 no.5
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    • pp.1-15
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    • 2005
  • The purpose of the study was to integrate Information and Communication Technology(ICT) into elementary mathematics instruction and to help prospective elementary school teachers understand such integration through developing lesson plans and implementing them in classrooms. Specifically, pre-service elementary school teachers in two universities participated in the study for a semester. While taking the course of elementary mathematics teaching methods, the teachers analyzed pre-developed lesson plans, developed lesson plans using ICT in mathematics for grades 5 and 6, and implemented them. This paper includes how the teachers conceive integration of ICT to mathematics teaching and what are the implications of such integration.

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Visualization of Calculus Concepts with GeoGebra (GeoGebra와 미분적분학 개념의 시각화)

  • Lee, Sang-Gu;Jang, Ji-Eun;Kim, Kyung-Won;Park, Kyung-Eun
    • Communications of Mathematical Education
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    • v.28 no.4
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    • pp.457-474
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    • 2014
  • Recently, with the development of technology, intuitive understanding of abstract mathematical concepts through visualizations is growing in popularity within college mathematics. In this study, we introduce free visualization tools developed for better understanding of topics which students learn in Calculus. We visualize important concepts of Calculus as much as we can according to the order of most Calculus textbooks. In this process, we utilized a well-known, free mathematical software called GeoGebra. Finally, we discuss our experience with visualizations in Calculus using GeoGebra in our class and discuss how it can be effectively adopted to other university math classes and high school math education.

A Study on the Curriculum Development and the Management of Basic College Mathematics Courses (기초수학 교육과정 개발 및 운영에 대한 제언)

  • Kim, Yeon Mi
    • Journal of Engineering Education Research
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    • v.16 no.2
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    • pp.58-68
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    • 2013
  • Few colleges offer remedial basic math courses for college freshmen who have not passed math placement tests or whose scholastic aptitude test score in mathematics is low. This research is aiming for the curriculum development of basic college mathematics and its effective implementation. First, an in depth statistical analysis on the basic math courses for universities in Seoul area has been done. Second, diagnostic test and longitudinal study have been carried out for one institute. Based on these, basic concepts and areas critical for the success of Calculus course are extracted. Standards and contents for the remedial math courses are suggested.

Development of an Instrument Measuring Elementary Pre-service Teachers' Beliefs on Teaching and Learning Mathematics (초등 예비교사의 수학 교수·학습에 대한 신념 측정을 위한 도구 개발)

  • Hwang, Jihyun;Kim, Jinho;Kwon, Na Young
    • Education of Primary School Mathematics
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    • v.25 no.1
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    • pp.43-55
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    • 2022
  • It is critical to examine changes in teachers' beliefs on how to teach and learn mathematics through teacher education programs. This study aims to develop an instrument measuring elementary pre-service teachers' beliefs on student- and teacher-centered instruction. After developing questionnaires with mathematics education experts, the structural validity of the instrument was evaluated by collecting and analyzing data from 166 pre-service teachers. Parallel analysis and exploratory factor analysis were applied sequentially to collect validity and reliability evidence. The results showed that this instrument can be used to examine changes in pre-service teachers' two different types of belief: student- and teacher-centered instruction. We also suggested how to interpret scores appropriately.

Pre-service Teachers' Opinions and Needs on the Physics Education Major Curriculum in College (사범대학 물리교육과의 전공 교육과정에 관한 예비 교사의 의견과 요구)

  • Jo, Kwang-hee
    • Journal of Science Education
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    • v.37 no.2
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    • pp.374-388
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    • 2013
  • The purpose of this study was to investigate pre-service physics teachers' perceptions on the physics education major curriculum. We surveyed 15 junior, and 13 senior college students of physics education major in an university in southern part of Korea. Among them, 24 participants(86 %) took the physics 1 course in high school and 22 participants(79 %) chose the physics 1 in their Korea Scholastic Aptitude Test. The responses showed that the most necessary part in pre-service students' learning was the understanding of high school level physics(36 %), and the understanding of introductory level physics(29 %). In the wish list of courses to be open, high school level physics course was ranked first among seven options by 61 % of respondents. Also, there was some concurrence among respondents in opinion of the necessity for understanding introductory physics. Students felt difficulties in understanding it especially owing to the lack of problem solving skill and comprehension. They added that the sufficient explanation of core concepts should be the first action in the innovative plan. Most participants of pre-service physics teachers hoped to have the revised major curriculum which could help their understanding of high school level or introductory level of physics. However, there was a gap of opinions between the group of students with completion of the high school physics 1 & 2 course and those with non-completion of them. The approach of changing major curriculum with consideration of learners' needs was recommended because the number of students with completion of the high school physics course would probably be decreasing rapidly under these circumstances such as the application of new national curriculum, the reduction of the number of the elective courses in Korea Scholastic Aptitude Test and so on.

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Two Approaches to Introducing Abstract Algebra to Undergraduate Students (추상대수학 강좌의 두 가지 접근 방법)

  • Park Hye Sook;Kim Suh-Ryung;Kim Wan Soon
    • Communications of Mathematical Education
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    • v.19 no.4 s.24
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    • pp.599-620
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    • 2005
  • There can be two different approaches to introducing Abstract Algebra to undergraduate students: One is to introduce group concept prior to ring concept, and the other is to do the other way around. Although the former is almost conventional, it is worth while to take the latter into consideration in the viewpoint that students are already familiar to rings of integers and polynomials. In this paper, we investigated 16 most commonly used Abstract Algebra undergraduate textbooks and found that 5 of them introduce ring theory prior to group theory while the rest do the other way around. In addition, we interviewed several undergraduate students who already have taken an Abstract Algebra course to look into which approach they prefer. Then we compare pros and cons of two approaches on the basis of the results of the interview and the historico-genetic principle of teaching and learning in Abstract Algebra and suggest that it certainly be one of alternatives to introduce ring theory before group theory in its standpoint.

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Prospective Mathematics Teachers' Perceptions of Collaborative Problem-posing as a Means to Promote Students' Creativity and Character (창의성과 인성 교육 방안으로서 협력 문제 만들기에 대한 수학 예비교사의 인식)

  • Lee, Bongju
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.373-395
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    • 2022
  • This study aimed to examine how prospective mathematics teachers (PMTs) perceive collaborative problem-posing (CPP) as a method to cultivate students' creativity and character in mathematics education. This is to propose the introduction of CPP at the stage of preparatory math teacher education as one of the ways to reinforce the creativity and character education capacity of PMT), and to attempt to be an opportunity to actively utilize CPP in math teaching-learning in the school field for the education of students' creativity and character. To achieve this objective, I designed PMTs taking the 'Educational Theories for Teaching Mathematics' course, required in the second year of university, to experience CPP tasks. Data were collected through questionnaires or interviews over three years on how PMTs recognized the CPP tasks as a tool to cultivate students' creativity and character in secondary schools. The results of the study are as follows. First, PMTs recognized regardless of their CPP experience that CPP might have a positive impact on improving students' ability to devise various ideas and that it positively influences students' attitudes toward building interpersonal relationships, including teamwork, respect, and consideration. Second, the experience of PMTs participating in the CPP made them more positively aware that CPP is effective in improving students' ability to elaborate on ideas. Third, the PMTs' experience of participating in CPP led to a more positive perception of the impact of CPP on the students' abilities and attitudes, namely, the students' ability to elaborate on ideas and their inner attitudes toward individuals, including honesty, fairness, and responsibility, and the attitude of students regarding logically presenting their opinions and making rational decisions. Finally, if there are downsides to the offline environment, an online environment may be more beneficial.