• Title/Summary/Keyword: components of mathematical ability

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Difference between Gifted and Regular Students in Mathematical Creativity and Mathematical Self-Efficacy

  • Seo, Jong Jin;Hwang, Dong Jou
    • Research in Mathematical Education
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    • v.8 no.3
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    • pp.183-202
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    • 2004
  • The former study results demonstrate that differences between people of creativity and non-creativity lie in differences of the self-efficacies rather than those of cognitive aspects and a man of higher self-efficacy has a tendency to set up a higher goal of achievement and higher self-efficacy influences his or her achievement results as well (Zimmerman & Bandura 1994). Using the method of mathematical creative responses of open-ended approach (Lee, Hwang & Seo 2003), difference of mathematical self-efficacies has been surveyed in the study. Results of the survey showed that some students of a high mathematical self-efficacy even had bad marks in the originality or creativity but, in some cases, some students of a low mathematical self-efficacy rather had good marks in the fluency. Therefore, the response results mathematical creativity ability may be a special ability and not just a combination of self-efficacy ability. The fluency of the mathematical creative ability may be a combination of mathematical motivation ability that have been surveyed in the study suggest that not only cognitive components but also social and emotional components should be included in a development process of new creative method for teaching and learning mathematics.

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Relationships between thinking styles and the Components of Mathematical Ability of the Elementary Math Gifted Children and General Students (초등 수학영재와 일반학생의 사고양식 및 수학적 능력 구성 요소)

  • Hong, Hyejin;Kang, Wan;Lim, Dawon
    • Education of Primary School Mathematics
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    • v.17 no.2
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    • pp.77-93
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    • 2014
  • The purpose of this study was to investigate the relationships between thinking styles and the components of mathematical ability of elementary math gifted children. The results of this study were as follows: First, there were differences in thinking styles: The gifted students prefer legislative, judical, hierarchic, global, internal and liberal thinking styles. General students prefer oligarchic and conservative thinking styles. Second, there were differences in components of mathematical ability: The gifted students scored high in all sections. And if when they scored high in one section, then they most likely scored high in the other sections as well. But the spacial related lowly to the generalization and memorization. There is no significant relationship between memorization and calculation Third, there was a correlation between thinking styles and components of mathematical ability: Some thinking styles were related to components of mathematical ability. In functions of thinking styles, legislative style have higher effect on calculation. And executive, judical styles related negatively to the inference ability. In forms of thinking styles monarchic style had higher effect on space ability, hierarchic style had higher effect on calculation. Monarchic, hierarchic styles related negatively to inference ability. In level of thinking styles global, local styles have higher effect on calculation. Local styles related negatively to the inference ability. In the scope of thinking styles, internal style had a higher effect on generalization, and external style had a higher effect on calculation. And there is no significant relationship leaning of thinking styles.

Effects of an Engineering-Focused STEAM Program Based on the Project Approach for Young Children on Their Scientific Inquiry Ability, Mathematical Problem-Solving Ability, and Creativity (유아 대상 프로젝트 접근법 기반 공학적 STEAM 프로그램이 유아의 과학적 탐구능력, 수학적 문제해결력, 창의성에 미치는 효과)

  • Kwangjae Yu;Jihyun Kim
    • Korean Journal of Childcare and Education
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    • v.19 no.4
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    • pp.29-52
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    • 2023
  • Objective: This research aims to examine the effect of a young children's engineering-focused STEAM program based on the project approach - a program that constructs components aligned with children's interests in their play through an engineering design process - on their scientific inquiry ability, mathematical problem-solving ability, and creativity. Methods: In this research, 42 five-year-old children from a public kindergarten in S district, I city, were randomly divided into experimental and comparative groups, each with 21 children. The engineering-focused STEAM program was conducted from April 18 to June 10, 2022, with the experimental group exploring the 'car' theme and the comparison group focusing on a different theme. The study employed an independent sample t-test and analysis of covariance(ANCOVA), using the pretest as a covariate to control variables. Results: The children-selected 'cars' themed engineering-focused STEAM program was effective in enhancing their scientific inquiry ability, mathematical problem-solving ability and creativity. Conclusion/Implications: The engineering-focused STEAM program, which emerges from young children's interesting daily play, had positive effects on enhancing their scientific inquiry ability, mathematical problem-solving ability, and creativity. This research can serve as fundamental data for developing education programs focused on engineering within the STEAM framework, guided by children's emergent play.

Results Of Mathematical Modeling Of Organizational And Technological Solutions Of Effective Use Of Available Resource Of Modern Roofs

  • Arutiunian, Iryna;Mishuk, Katerina;Dankevych, Natalia;Yukhymenko, Artem;Anin, Victor;Poltavets, Maryna;Sharapova, Tetiana
    • International Journal of Computer Science & Network Security
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    • v.21 no.1
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    • pp.49-54
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    • 2021
  • Relative to the outer surface of the mastic coating, the reliability of the available waterproofing resource is determined by the ability to stabilize the structural characteristics in difficult climatic conditions. Organic components of mastic as a result of solar radiation, elevated temperatures and their alternating change, atmospheric oxidants, especially in industrial areas, have a tendency to self-polymerization and loss of low molecular weight components. This is the gradual loss of deformability and the transition to brittleness with its tendency to crack as the reasons for the gradual transition from normal to emergency operating condition.The presented mechanism of functioning of the coating surface indicates the expediency of increasing its components, able to stabilize the structure and prevent changes in deformability.Durability, hydrophobicity, water displacement, water absorption are accepted as estimating indicators. The main dependences of the influence of the lost additional components of mastic on the operational properties of the formed coating characterize the ability to provide successful resistance to environmental influences and longer stability. As a result, mastic acquires additional service life.

Spatial Ability and Mathematical Achievement of Elementary School Students (초등학생의 공간시각화능력 및 수학성취도에 관한 연구)

  • Park, Sungsun
    • Education of Primary School Mathematics
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    • v.16 no.3
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    • pp.303-313
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    • 2013
  • Spatial ability has been valued as one component of intelligence and associated with the achievements in science, technology, engineering, and mathematics (STEM) disciplines and important in STEM education. The purpose of this study is to assess elementary school students' spatial ability and analyze the relationship with mathematical achievement, gender and grade level. This study explored the spatial visualization ability of 1288 elementary school students (grade 4-6) in Seoul and Gangwon province and investigated association between spatial ability and students' mathematics achievement, the students' spatial ability according to their gender and grade level. As a result, this study showed that there were significant correlations between spatial ability and mathematical achievement. And also, boy students were better than girl students in spatial ability and higher grader were better than lower graders in spatial ability. According to these results, spatial ability should be included as one of the important components in identifying students for gifted education programs. Furthermore, more research is needed on how to effectively structure educational opportunities to students both who have high spatial ability and have low spatial ability.

A Study on the Development Evaluation Item to extend mathematical creativity (수학 창의성 신장을 위한 평가 문항 개발 방안)

  • Nam, Seung-In
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.271-282
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    • 2007
  • Producing tools for actively meeting social needs in a radical changing society due to the development of modern technology has been shifted from physical ability to intelligent ability. The prominence of educating creativity is perceived as a good preparation in order to deal with them. Considered that assessment which is systematic activity to collect, analyze, diagnose, and judge information of a series of instruction practices is means to impart evidence and feedback of teaching learning practices, education and assessment is placed on reciprocal relationship. Nevertheless, there has been some tendency of neglect of assessment, comparing education for upbringing creativity. In this paper model of pencil and paper problem is discussed focusing on the sub-components of creativity and problem solving as one of the variety of means to extend mathematical creativity.

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Tools for the Acquisition of Graphing Ability: Real-Time Graphing Technology

  • Kwon, Oh-Nam
    • Research in Mathematical Education
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    • v.6 no.1
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    • pp.53-63
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    • 2002
  • This study investigates the impact of Calculator-Based Ranger (CBR) activities in the performance of middle school students' graphing abilities of physical phenomena. Two issues about CBR activities on graphing abilities were addressed in this study; (1) the effect of CBR activities on graphing abilities, and (2) the influence of instructional styles on students' graphing abilities. Following the use of CBR activities, students' graphing abilities were significantly more developed in three components-interpreting, modeling, and transforming. Significant differences were found in students' achievement depending on instructional styles related to differentiation, which is closely connected to transforming distance-time graphs to velocity-time graphs. The findings of this study indicate that CBR activities may enhance students in constructing appropriate webs of related concepts and ability to qualitatively interpret graphs. Using collaborative CBR activities to introduce and explore graphing of physical phenomena is, therefore, recommended for inclusion in the secondary mathematics curriculum.

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Development of the Evaluation Criterion for Mathematically Gifted Students Creative Product in View of Mathematical History (수학사에 근거한 수학영재의 창의적 산출물 평가 준거 개발)

  • Kim Sun Hee
    • Journal for History of Mathematics
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    • v.18 no.2
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    • pp.75-94
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    • 2005
  • This study is intended to develop the criterion for evaluating the creative products that mathematically gifted students produce in their education program to enhance the development of creative productive ability. 1 distinguish the mathematical creativity with the creativity in the general domain, and make the production model of the creative mathematical product grounded on the mathematicians' work through the mathematical history. The model has the following components; the mathematical knowledge, the mathematical thinking and the mathematical inquiry skill, surrounding the resultive creative product. The students products are focused on one component of the model. Thus the criterion for the creative products is grounded on the each component of the model. According to it, teachers could evaluate the students'work, which got the validity and the reliability.

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Voltage Source Converter for battery charging (축전지 충전기용 전압형 컨버터)

  • Kwak, Joo-Sik;Kim, Je-Hong;Choi, Jae-Ho
    • Proceedings of the KIEE Conference
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    • 1995.07a
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    • pp.265-267
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    • 1995
  • A voltage source PWM converter with battery charging and AC/DC power conversion ability is proposed in this paper. The proposed voltage source PWM converter is independently controlled by active and reactive components and implemented by DSP controller. In UPS application the mathematical model of the voltage source PWM converter has been derived. Finally, the performance of the voltage source converter is shown and discussed through experimental results.

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Development and Application of Simulator for Hydraulic Excavator (유압 굴삭기용 시뮬레이터 개발 및 응용)

  • Lim, Tae-Hyeong;Yang, Soon-Yong
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.9 s.186
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    • pp.142-148
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    • 2006
  • Hydraulic excavators have been popular devices in construction fields because of their multi-workings and economic efficiency. The mathematical models of excavators have many nonlinearities because of opening characteristics and dead zone of main control valve(MCV), oil temperature variation, etc. The objective of this paper is to develop a simulator for hydraulic excavator using AMESim. Components and their circuits are expressed graphically. Also, parameters and nonlinear characteristics are considered in a text style. From the simulation results, fixed spring stiffness of MCV can not obtain the satisfactory accuracy of spool displacement under whole P-Q diagrams. Closed loop type MCV containing a proportional gain, is proposed in this paper that can reduce displacement error. The ability of closed loop MCV is verified through comparing with normal type MCV using AMESim simulator. The excavator simulator can be used to forecast the attachment behaviors when components, mechanical attachments and hydraulic circuits change, or other control algorithms are applied. The simulator could be a kind of development platform for new excavators.