• Title/Summary/Keyword: mathematics courses

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A Case Study of Geometry Teaching and Learning based on Waldorf Education Methods in a Korean Alternative School (발도르프 수학교육 방법을 적용한 우리나라 대안학교 기하단원 교수·학습에 관한 사례연구)

  • Song, Man Ho;Kim, Young-Ok
    • East Asian mathematical journal
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    • v.30 no.2
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    • pp.197-222
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    • 2014
  • The purpose of this research is to find out if it is possible to apply the Waldorf School's mathematics education method to Korean alternative schools which are run under the national curriculum. To achieve this, the researcher conducted class on geometry for three weeks with ten 7th graders(four girls and six boys) from Apple Tree Waldorf alternative school in Busan, which has adopted Valdorf education courses. For the first two weeks, the class was about 'fundamental geometrical construction', and then it was evaluated. On the third week, the lesson was on plane figures, followed by a test with 9 plane figure questions that are based on general middle school mathematics curriculum. The result shows that most of the students understood 'fundamental geometrical construction'. When it comes to the test on 'plane figures', seven students got 8 out of 9 right, two students got 6 out of 9 right, and one of them had difficulty solving the questions. According to the results of this research, it is thought that there will be no problem for students to understand mathematical concept even if the Waldorf School's mathematics education method is applied to Korean alternative schools. Also, the Waldorf School's mathematics education method is considered to be a good teaching model for the Korean mathematics curriculum which places emphasis on 'mathematical creativity' in regard to the curriculum and contents.

The empirical study on combining mathematics and statistics into S/W and H/W curriculum (소프트웨어와 하드웨어 교육과정에서 수학/통계를 연계한 실증연구)

  • Lee, Seung-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.4
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    • pp.629-639
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    • 2010
  • This paper shows that mathematics and statistics are not only a necessity but a strategic element in contributing for the competitiveness of field of S/W and H/W. First, a survey was conducted to investigate the perceived importance of mathematics and statistics to the specialists of the field. Second, computer programming was implemented in university mathematics courses to understand the educational effect related to problem solving ability. Third, a educational case in which mathematics and statistics in S/W and H/W subject were combined was analyzed. Lastly, an effective plan for mathematics and statistics education in the field of S/W and H/W will be presented.

The Effect of Using Metacognitive Strategies in Mathematics Lesson on Students' Metacognitive Awareness

  • Hizir, Kucukakca;Ayse Elitok, Kesici;Ji-Eun, Lee
    • Research in Mathematical Education
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    • v.25 no.4
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    • pp.245-266
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    • 2022
  • This study examines how teaching metacognitive strategies to students in a sixth-grade mathematics class affects their metacognitive awareness. Participants were 36 sixth-grade students in a middle school affiliated with the Ministry of National Education of Turkey in the 2020-2021 academic year. The students in the experimental group (n = 18) were taught a total of 40 mathematics lessons for eight weeks to improve their metacognitive awareness. The students in the control group (n=18) were taught mathematics in line with the regular mathematics curriculum. Using the Jr. Metacognitive Awareness Inventory, participants in both groups took a pre-test at the beginning and a post-test at the end of the study. To better interpret the data obtained, various statistical tests were performed. The pre-test and post-test averages of the groups were compared using the t-test for the normally distributed data for dependent and independent groups. The pre-test results showed no significant difference between the metacognitive awareness scores of the experimental and control groups (p>0.05). The comparison of post-test averages showed that students' metacognitive awareness differed significantly in favor of the experimental group (p<0.05). According to this, it was concluded that metacognitive strategy teaching in mathematics courses positively affected students' metacognitive awareness levels.

A Study on Improving the Quality of General Education at an Engineering College - Hongik University, College of Science and Technology - (공과대학의 소양교육 개선 방안 연구 - 홍익대학교 과학기술대학을 중심으로 -)

  • Baek Hyun-Deok;Park Jin-Won;Sim Soo-Man;Shin Pan-Seok
    • Journal of Engineering Education Research
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    • v.8 no.1
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    • pp.84-98
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    • 2005
  • This study is on improving the general engineering education for enhancing the quality of engineers at a local engineering school in which the students are not highly qualified for engineering education. Based on the analysis on the current engineering education by asking questions to professors, students and alumni of Hongik College of Science and Engineering, we have set the basic educational philosophy as educating practical engineers and have decided the goals of basic engineering education as changing to student oriented education, enhancing the field adaptation capability, improving the problem solving ability and introducing engineering design courses. For achieving the foregoing goals, we have changed several basic engineering courses. Mathematics, science courses, computer related courses, English, communication skill related courses are strengthened, but general college education courses are reduced. We also have encouraged students to participate the classes actively and study efficiently, think logically and creatively. For the operational details, we have tried to impose less courses to freshmen and sophomores, to impose the prerequisite courses, to activate summer and winter schools. Finally, we have tried to find the ways to support continuous improvement on the basic engineering education.

Effective Design and Operation of Massive Online Courses: A Survey on Learners' Satisfaction and Needs (대형 온라인 강좌의 설계와 운영 방안 모색: 재학생, 고등학생, 일반인 대상의 설문조사를 바탕으로)

  • Jinyoung Jang;Younghee Kim;Nagyung Sohn;Hyojung Shin;Hyunsook Jeong
    • Journal of Practical Engineering Education
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    • v.15 no.1
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    • pp.73-80
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    • 2023
  • The advancement of online technology in the 21st century has increased online courses and web-based communication in higher education. This type of education is not limited by time or location and has made it possible to expand university campuses globally and broaden the reach of university education to the general public and students from other universities. Changes such as a decrease in the school-age population and a reorganization of the university structure have also created an opportunity to change the perception of online education. In this paper, we conducted surveys on K University students, high school seniors, and the general public to assess their satisfaction with online courses, identify areas that require massive online courses, and determine students' needs for the operation of massive online courses. The survey showed that K University students are generally satisfied with online courses. However, improvements are needed to ensure a smooth online course-taking environment, increase system uniformity, and enhance the overall online course environment. High school students have a strong preference for natural science and should be offered online courses in subjects such as mathematics and physics as prerequisites to prepare for their major classes. The general public prefers the humanities, which is evident in the purpose of the liberal arts lectures.

Understanding of the trigonometric function using Maple (Maple을 이용한 삼각함수의 이해)

  • 한동승;유흥상
    • Journal of the Korean School Mathematics Society
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    • v.4 no.2
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    • pp.1-9
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    • 2001
  • Since the computer is becoming more and more indispensible tool in every fields of the modern society, it is needed and desirable to utilize the computer as a basic tool from the very early stage of the education process. Recently Maple is gaining its popularity as a comprehensive mathematical software with its power of symbolic calculations and graphics as well as its great numerical computational ability. We demonstrate the suitability of this software as a tool for the mathematical education and presents several examples of the applications of Maple. For the middle and the high school mathematics courses, we give the application examples for the quadratic functions and their graphs, statistics, the three dimensional shapes, algebraic problems. Through the examples, we confirm that mathematical education can be much more effective and simple by using Maple. If we establish computer-assisted mathematical classes, we can draw more attention and excitement from the attendants than traditional classes and eventually improve more rapidly their problem-solving ability On the other hand, the excess of the computer-aided education give to obstacle of psychological, not to be passing over the fact.

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Is vector theory prior to matrix theory in teaching of linear algebra (선형대수학의 학습에서 벡터이론은 행렬이론보다 선행되어야 하는가)

  • Pak, Hong-Kyung;Kim, Tae-Wan
    • Journal for History of Mathematics
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    • v.23 no.2
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    • pp.89-99
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    • 2010
  • Today linear algebra is one of compulsory courses for university mathematics by virtue of its theoretical fundamentals and fruitful applications. Vector theory and matrix theory constitute of main topics in linear algebra. In the present paper we consider the question which of the two topics is prior in teaching of linear algebra. We suggest that vector theory should be prior to matrix theory contrary to the historical order of them.

교양수학 교과목에 대한 효율적 교수-학습지도 방안

  • Pyo, Yong-Soo;Cho, Sung-Jin;Jeong, Jin-Mun;Park, Jin-Han
    • East Asian mathematical journal
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    • v.26 no.2
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    • pp.319-336
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    • 2010
  • There are serious difficulties with management of general mathematics education courses because of enormous gap between freshman's ability of mathematics and lack of problem solving ability. In this paper, we try to find methods so we can reduce the difficulties. By utilizing students survey, management of Mathematics Cafe and setting example classes for Calculus and Linear Algebra we suggest effective management strategies and teaching-learning methods.

Reconsidering the Category Framework for Describing Mathematics Teachers' Values

  • Wang, Chih Yeuan
    • Research in Mathematical Education
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    • v.15 no.1
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    • pp.59-68
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    • 2011
  • This paper proposes a modified category framework derived from VAMP and VIMT projects for describing teachers' mathematical and pedagogical values, and examines the dialectical relations between values awareness/willingness and teaching, based on case studies of student teachers of secondary mathematics from a follow-up project of VIMT. The preliminary results show that student teachers would teach certain values depending on the awareness of values priority, willingness to teach, their teaching capabilities and classroom conditions. So, mathematics teacher educators should provide relevant courses to facilitate student teachers to be aware of their implicit values and be willing to enact these values, and to empower student teachers with the knowledge and experiences to teach the values.

A Study on the Comparison of Classes Conducted by Modified Moore Method (변형 Moore 교수법을 적용한 수업 비교연구)

  • Kim, Seong-A
    • Communications of Mathematical Education
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    • v.24 no.4
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    • pp.865-876
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    • 2010
  • We have examined the modified Moore methods that were applied to college mathematics courses in several researches. We introduce, compare and analyze the concrete teaching methods that the researchers conducted in various modified Moore methods, and propose the appropriate form of modified Moore method most suitable for the present situations of the mathematics and related departments in Korea.