• Title/Summary/Keyword: Calculus Education

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The effects on academic achievement and satisfaction of the reciprocal peer tutoring in university calculus (대학 미분적분학에서 상호 동료 교수법이 학업성취도 및 학습만족도에 미치는 영향)

  • Choi, Wonyoung;Kim, Haekyung
    • The Mathematical Education
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    • v.53 no.2
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    • pp.263-274
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    • 2014
  • The purposes of the study are to investigate the effects on academic achievement and satisfaction of the reciprocal peer tutoring in university calculus. First, we classified the test group and the control group and then applied the reciprocal peer tutoring to the test group. According to results, the reciprocal peer tutoring is very effective in improving academic achievement. Second, the pre-survey and the post-survey were conducted to the test group. The survey contains five categories including 1) background of the participants, 2) learning objectives and expectation, 3) the intention of the continual learning Mathematics, 4) the individual self-efficacy, and 5) general Mathematics learning satisfaction. We found some facts from the difference between the pre and post surveys. The learning satisfaction has improved after the reciprocal peer tutoring in the test group. Even though this trend has not changed regardless of sex, high school levels and teaching understanding.

A STUDY ON THE ORAL HYGIENE STATUS OF RESIDENTS WHO LIVED IN LARGE CITIES AND RURAL AREA (대도시 및 농촌지역 주민의 구강위생실태 조사 연구)

  • Choi, Eu-Gene
    • The Journal of the Korean dental association
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    • v.22 no.2 s.177
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    • pp.141-148
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    • 1984
  • The auther had studied on the debri index, calculus index and simplified oral hygiene index, which was made according to the oral examination criteria recommened by WHO in 1971. The examined persons were 14,825 persons who lived in large cities and rural area. The obtained results were as follows: 1. the simplified oral hygiene index were 1.81 in male and 1.54 in female who lived I large cities. In rural area, the simplified oral hygiene index were 2.23 in male and 1.92 in female. 2. the debri index, calculus index and oral hygiene index were lower in upper jaw than in lower jaw. 3. According to the aging, debri, index, calculus index and simplified oral hygiene index score wee increased. 4. Dental health education what had done was not so effective on oral hygiene.

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The influence of oral health behavior and periodontal status of the people who experienced scaling in Dental Hygienics on their OHIP-14 (치위생과 스켈링센터 방문자의 구강건강행위와 치주상태가 OHIP-14에 미치는 영향)

  • Kim, Ji-Hwa;Kim, Gi-Ug
    • Journal of Digital Convergence
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    • v.12 no.11
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    • pp.461-468
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    • 2014
  • This study was to figure out the influence of oral health behavior and periodontal status on their OHIP-14. Explained to 255 people who visited the scaling center of Dental Hygienics of a college in Gyeongbuk from March 7th to June 13th 2014 and it was agreed to perform. Result of dental plaque and calculus rate of those with no TBI were high; the less frequent do they teeth brushing the higher were their rate of dental plaque, bleeding and calculus, while their OHIP-14 was low. The rate of calculus of whom with no education on dental floss use and who do not use dental flosswas high. The more powerful for those with higher rate of dental plaque; while the lower was the rate of calculus the higher was OHIP-14. Therefore, the more do they brush their teeth and the lower are the rate of their calculus, the more positively has it been figured out to influence on the quality of their life of oral health. Consequently, public health program should be developed to educate them on the necessity of scaing on a regular basis and the cause calculus of occurrence, as well as a media through which they can easily participate in the program.

Notes on Effective College Mathematics Education by Counseling Freshman and by Promotion of Application in Engineering Mathematics (학사관리지도 및 전공영역활용 지도가 이공계 기초대학수학 교육에 미치는 영향)

  • Kim, Young-Sik
    • 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.

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Gifted Students and Advanced Mathematics

  • Barbeau, Edward J.
    • Research in Mathematical Education
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    • v.12 no.4
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    • pp.283-291
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    • 2008
  • The extension to a wide population of secondary education in many advanced countries seems to have led to a weakening of the mathematics curriculum. In response, many students have been classified as "gifted" so that they can access a stronger program. Apart from the difficulties that might arise in actually determining which students are gifted (Is it always clear what the term means?), there are dangers inherent in programs that might be devised even for those that are truly talented. Sometimes students are moved ahead to more advanced mathematics. Elementary students might be taught algebra or even subjects like trigonometry and vectors, and secondary students might be taught calculus, differential equations and linear algebra. It is my experience over thirty-five years of contact with bright students that acceleration to higher level mathematics is often not a good idea. In this paper, I will articulate some of the factors that have led me to this opinion and suggest alternatives. First, I would like to emphasize that in matters of education, almost every statement that can be made to admit counterexamples; my opinion on acceleration is no exception. Occasionally, a young Gauss or Euler walks in the door, and one has no choice but to offer the maximum encouragement and allow the student to go to the limit of his capabilities. A young genius can demonstrate an incredible amount of mathematical insight, maturity and mastery of technique. A classical example is probably the teen-age Euler, who in the 1720s was allowed regular audiences with Jean Bernoulli, the foremost mathematician of his day.

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An Analysis of Novice Teachers' Specialized Content Knowledge for Teaching in High School Calculus Lessons (고등학교 미적분 수업에서 나타나는 초임교사의 교수를 위한 전문화된 수학 내용 지식(SCKT))

  • Koh, Hee Jeong;Choi-Koh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.157-185
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    • 2013
  • This study was to investigate novice teachers' Specialized Content Knowledge for Teaching in High School Calculus Lessons. The lessons of two novice teachers in Kyunggi Do were observed from July, 2011 to Feb. 2012. All observed lessons were audeotaped and transcribed into word files. Their calculus lessons were analyzed into three kinds of knowledge consisting of SCKT. Their SCKT just copied the contents of the textbook and other additional SCKT were not found for teaching. Even though students asked a question that they did not understand, the teacher just repeated the previous contents that already he used. But this study included possible contents of SCKT within the areas these teachers covered so that teachers in school may use for teaching of Calculus. The novice teacher do not have sufficient experience, the program of the college of education and the contents of the teacher certificate-examination should include multi-dimensional approaches in SCKT to pre-service teachers in order to raise better specialized teachers in mathematics.

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A Study on Quantity Calculus in Elementary Mathematics Textbooks (초등학교 수학교과서에서의 양(量)의 계산에 대한 연구)

  • Jeong, Eun-Sil
    • Journal of Educational Research in Mathematics
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    • v.20 no.4
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    • pp.445-458
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    • 2010
  • This study intends to investigate the process of the development of quantity concept and how to deal with the quantity calculus in elementary school, and to find out the implication for improving the curriculum and mathematics textbooks of Korea. There had been the binary Greek categories of discrete number and continuous magnitude in quantity concept, but by the Stevin's introduction of decimal, the unification of these notions became complete. As a result of analyzing of the curriculum and mathematics textbooks of Korea, there is a tendency to disregard the teaching of quantity and its calculus compared to the other countries. Especially multiplication and division of quantity is seldom treated in elementary mathematics textbooks. So these should be reconsidered in order to seek the direction for improvement of mathematic teaching. And Korea's textbooks need the emphasis on the quantity calculus and on constructing quantity concept.

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Exploring a Teaching Method of Limits of Functions with Embodied Visualization of CAS Graphing Calculators (CAS 그래핑 계산기의 임베디드 시각화를 통한 함수의 극한 지도 방안 탐색)

  • Cho, Cheong-Soo
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.63-78
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    • 2011
  • The purpose of this study is to explore a teaching method of limits of functions with more intuitive and visual of CAS graphing calculators rather than with the rigorous ${\epsilon}-{\delta}$ method. Texas Instruments Voyage200 CAS graphing calculators are used for studying the possibility of the use of technology in calculus course. For this, various related theoretical constructs are reviewed: concept image, concept definition, cognitive conflict, the use of visualization of technology for calculus concepts, the theory of APOS, and local straightness. Based on such theoretical constructs this study suggests a teaching method of limits of functions with embodied visualization of CAS graphing calculators.

Teaching Linear Algebra to High School Students

  • Choe, Young-Han
    • Research in Mathematical Education
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    • v.8 no.2
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    • pp.107-114
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    • 2004
  • University teachers of linear algebra often feel annoyed and disarmed when faced with the inability of their students to cope with concepts that they consider to be very simple. Usually, they lay the blame on the impossibility for the students to use geometrical intuition or the lack of practice in basic logic and set theory. J.-L. Dorier [(2002): Teaching Linear Algebra at University. In: T. Li (Ed.), Proceedings of the International Congress of Mathematicians (Beijing: August 20-28, 2002), Vol. III: Invited Lectures (pp. 875-884). Beijing: Higher Education Press] mentioned that the situation could not be improved substantially with the teaching of Cartesian geometry or/and logic and set theory prior to the linear algebra. In East Asian countries, science-orientated mathematics curricula of the high schools consist of calculus with many other materials. To understand differential and integral calculus efficiently or for other reasons, students have to learn a lot of content (and concepts) in linear algebra, such as ordered pairs, n-tuple numbers, planar and spatial coordinates, vectors, polynomials, matrices, etc., from an early age. The content of linear algebra is spread out from grades 7 to 12. When the high school teachers teach the content of linear algebra, however, they do not concern much about the concepts of content. With small effort, teachers can help the students to build concepts of vocabularies and languages of linear algebra.

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A Study on the Effectiveness of LMS for Improving College Student's Mathematics Performance using a Propensity Score Matching Method

  • Heejoo PARK;Sunyoung BU;Jihoon RYOO
    • Educational Technology International
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    • v.25 no.1
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    • pp.67-92
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    • 2024
  • This study aims to verify the practical effectiveness of learning management system (LMS) by introducing a LMS enhancing digital assessment utilizing automatic item generation in order to strengthen college student's mathematics performance. Teaching assisted with digital assessment in the LMS was applied to college mathematics classes, and the research question is whether or not students in the classes utilizing the LMS perform better than the regular classes. In particular, a calculus course, which is the foundation of important artificial intelligence technology in the future, was utilized in this study. The participants of this study were 248 freshmen in science and engineering who were taking calculus courses at a small to mid-size university. A total of 156 freshmen were selected after applying a propensity score matching method (PSMM), 78 from classes utilizing the LMS and 78 from regular classes without the LMS assisted with the digital assessment. As a result, it was found that there was a statistically significant difference in the math academic growth of students who used the LMS and those who did not. In other words, when LMS was used in calculus, students' academic growth was greater. The results of this study are meaningful in that they observed students' academic growth and confirmed that LMS enables a positive role in students' academic growth. In addition, if digital assessment is strengthened and LMS that enables individualized learning analysis is introduced and implemented in educational institutions, it is expected to play a major role in strengthening students' academic performance.