• Title/Summary/Keyword: mathematics courses

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Application of Mathematics PBL Model Courses in the Chapter of a Decimal for the 4th Grade of Elementary School Students (초등학교 4학년 소수단원에서의 수학과 PBL 모형 적용 수업 분석)

  • Kang, Mi-Ae;Song, Sang-Hun
    • School Mathematics
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    • v.13 no.1
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    • pp.189-206
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    • 2011
  • This study is to setup a mathematics PBL model that is right for elementary students. PBL models are developed and applied to actual courses and analyzed. So, a specific plan and practical understanding of PBL mathematics textbooks will be presented. But in order for this to happen, first the mathematics PBL model, that can realize 7th revised curriculum's goal, needs to setup and divided into knowledge, skill and attitude domains. Through this study, the general PBL model and the PBL model appropriate for elementary mathematics was amended and supplemented, this was then applied to courses and analyzed, and the below conclusions were realized. First, mathematical idealization stage is needed for mathematical PBL model. Since an elementary student is shortcoming in problem understanding and mathematical activity, a middle step that allows the student to understand the problem situation mathematizing and find a solution mathematically is desperately needed. Therefore, in this study, we named it the mathematical idealization stage and had it setup. Second, a mathematics information collection stage needs to be prepared for a successful PBL. Through this stage, the students will have an opportunity to gather the necessary information needed and restructure it to solve the problem. Third, the organization stage in mathematical PBL model needs to be strengthened. PBL is not just completed, through the best use of mathematics subject matter to solve the problem. Organization time is needed to allow the students to grow to a more deepened and advanced level. In conclusion, there is significance in providing a specific plan for mathematical PBL model, which can be seen through this study on applying and analyzing elementary mathematics and appropriate PBL models.

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The relationship of mathematics anxiety and achievement in mathematics for college of engineering (이공계 대학 신입생들의 수학불안과 수학 학업 성취도와의 상관관계)

  • Kim, Young-Ok
    • The Mathematical Education
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    • v.48 no.4
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    • pp.469-481
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    • 2009
  • This study investigates the relationship of mathematics anxiety and achievement in college mathematics for engineering major freshman students. An revised and modified 30-item version of the Mathematics Anxiety Scale(MAS) was completed by 176 university engineering students enrolled in introductory calculus courses offered by the department of mathematics. Correlational analysis indicated complex interaction patterns between mathematics anxiety and mathematics achievement, depending on the level of anxiety. The results from this study confirm the negative correlation between mathematics anxiety and mathematics achievement in college mathematics for engineering major student, and also those support the claim that the relationships between mathematics anxiety and achievement have non-linear patterns.

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Improvement of teaching-learning methods for general mathematics education courses - Focused on Basic Calculus - (교양수학 교과목에 대한 교수-학습지도 개선 방안 - 기초미적분학 교과목을 중심으로 -)

  • Pyo, Yong-Soo;Cho, Sung-Jin;Jeong, Jin-Mun;Park, Jin-Han
    • Communications of Mathematical Education
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    • v.23 no.3
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    • pp.823-848
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    • 2009
  • In this paper, we try to find improved solutions for problems with general mathematics education courses. We suggest effective management strategies and teaching-learning methods by level-based classes with utilizing students survey and scholastic level assessment, and management of Mathematics Cafe and its homepage, and also setting example classes for assignments on the Webwork system and evaluating the class.

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A Study on the Student Assessment of Elementary School Mathematics (초등학교 수학과 학생평가 실태 분석)

  • Lee, Jong-Euk
    • The Mathematical Education
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    • v.48 no.1
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    • pp.21-32
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    • 2009
  • The purpose of this study is to diagnose the current states and the problems of student assessment of Elementary School Mathematics. For that purpose, this study conducted a survey and had the individual interviews. The surrey items consisted of the six main parts: questions about the development of assessment tools, the method to assess, the grading, the special supplementary courses, the opening of learning effect, and the follow-up guidances. The results of this study are as the follow First, elementary teachers depended heavily on internet sites for developing assessment problems. Second, elementary teachers made use of a performance assessment, a unit assessment, and a term examination at ordinary times. Third, unit assessment was largely referred for grading by elementary teachers. Fourth, in selecting the students for the special supplementary courses, both criterion-referenced assessment and norm-referenced assessment were considered. After finishing the special supplementary courses, additional tests were usually taken. Fifth, elementary teachers took a negative attitude in opening of learning effect. specialty opening of test paper to parents of students was done under 30%. Sixth, fellow-up guidances were the most through the classroom guidances. but consulting with parents of students was not frequently conducted by teachers.

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The Development of Subject-matter Knowledge and Pedagogical Content Knowledge in Function Instruction (함수개념의 교수.학습과정에서 나타난 subject-matter knowledge와 pedagogical content knowledge 능력의 발전에 관한 연구)

  • Yoon, Suk-Im
    • Communications of Mathematical Education
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    • v.21 no.4
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    • pp.575-596
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    • 2007
  • This study investigates preservice teachers' development of subject-matter knowledge and pedagogical content knowledge in teaching function concept. This development takes place in the pedagogical mathematics courses in which the theory of constructivism and cooperative learning theory are aligned. Pre and post courses test were administered to examine the development and the follow-up interviews were conducted to gain more details. Analysis of the written questionnaire results and interview transcripts reveal that their limited concept image can be extended and developed in depth through pedagogical mathematics courses that apply reformed teaching methods.

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On the Analysis and Improvement of Calculus for Life Science ('생명과학을 위한 수학' 강의 분석 및 개선 방안에 대한 소고)

  • Kang, Hye-Jeong;Kim, Do-Han;Seo, Seung-Hyun;Ahn, Heung-Ju;Choe, Kwang-Seok
    • Communications of Mathematical Education
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    • v.20 no.4 s.28
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    • pp.503-521
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    • 2006
  • 'Calculus for Life Science' is one of the calculus courses for students majoring life science in Seoul National University. Contrary to the other calculus courses for students in natural sciences and engineerings, in 'Calculus for life Science' we have primarily chosen computer-based curriculum that is useful to life science and so we have tried to fulfill the requirements of the students majoring life science. Like this, we are of the opinion that there are diverse requirements in life science as well as other majors in basic mathematical education of the university. Upon this view, in this research, we consider the present conditions, the points at issue and study improvements of them. In section II and III, we introduce briefly the present 'Calculus for Life Science' focused on the curriculum. In section IV, according to the course evaluations and questionnaire, we make an analysis of the present condition and the points at issue of 'Calculus for Life Science'. In section V and VI, we present the improvements of the curriculum and the several education environments.

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Suggestions for Revision of Mathematics Curriculum by Analysis of Current Mechanical Engineering Mathematics (기계공학수학의 현황 분석을 통한 개편안 제시)

  • Kang, Ju Seok;Park, Chan Il
    • Journal of Engineering Education Research
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    • v.20 no.2
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    • pp.50-56
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    • 2017
  • Because all areas of mechanical engineering involves the use of mathematics, mechanical engineers need mathematical understanding and skill enhancement. To achieve the effective mathematics education for mechanical undergraduate students, it should reorganize the important subtopics of mathematics. In this paper, we explore the direction of the development of mathematics education for mechanical engineers by analyzing the teaching hours of each topics in the mathematics and by comparing the results with significance analysis of expert survey. To do so, syllabuses of mathematics courses of the selected mechanical engineering departments were analyzed and the survey responses of professionals in the Korean Society of Mechanical Engineers were also investigated. Finally, the revision of mathematics curriculum in the mechanical engineering was proposed.

A SYNCRO-PARALLEL NONSMOOTH PGD ALGORITHM FOR NONSMOOTH OPTIMIZATION

  • Feng, Shan;Pang, Li-Ping
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.333-342
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    • 2007
  • A nonsmooth PGD scheme for minimizing a nonsmooth convex function is presented. In the parallelization step of the algorithm, a method due to Pang, Han and Pangaraj (1991), [7], is employed to solve a subproblem for constructing search directions. The convergence analysis is given as well.

Multiple Unbounded Positive Solutions for the Boundary Value Problems of the Singular Fractional Differential Equations

  • Liu, Yuji;Shi, Haiping;Liu, Xingyuan
    • Kyungpook Mathematical Journal
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    • v.53 no.2
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    • pp.257-271
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    • 2013
  • In this article, we establish the existence of at least three unbounded positive solutions to a boundary-value problem of the nonlinear singular fractional differential equation. Our analysis relies on the well known fixed point theorems in the cones.

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

  • Na, Kwangsoo;Kim, Dongho;Kim, Jaeduck;Shim, Hojin;Moon, Eunho
    • Journal of Engineering Education Research
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    • v.22 no.3
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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.