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Study on the Development of a Model for Teaching and Learning Mathematics Using Graphic Calculators (그래픽 계산기를 활용하는 수학과 교수-학습 자료 모형 개발 연구)

  • 강옥기
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.453-474
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    • 1998
  • This study is focused on the possibility if we can use graphic calculators in teaching and learning school mathematics. This study is consisted with four main chapters. In chapter II, the functions of the graphic calculator EL-9600 produced by Sharp Corporation was analyzed focused on the possibilities if the functions could be used in teaching and learning school mathematics. Calculating of real numbers and complex numbers, solving equations and system of linear equations, calculating of matrices, graphing of several functions including polynomial functions, trigonometric functions, exponential and logarithmic functions, calculation of differential and integrals, arranging of statical data, graphing of statistical data, testing of statistical hypotheses, and other more useful functions were founded. In Chapter III, a mathematics textbook developed by Core-Plus Mathematics Project was analyzed focused on how a graphic calculator was used in teaching and learning mathematics, In the textbook, graphic calculator was used as a tool in understanding mathematical concepts and solving problems. Graphic calculator is not just a tool to do complex computations but a tool used in the processes of doing mathematics, In chapter IV, the 7th mathematics curriculum for korean secondary schools was analyzed to find the contents could be taught by using graphic calculators. Most of the domains, except geometric figure, were found that they could be taught by using graphic calculators, In chapter V, a model of a unit using graphic calculator in teaching 7th mathematics curriculum was developed. In this model, graphic calculator was used as a tool in the processes of understanding mathematical concepts and solving problems. This study suggests the possibilities that we can use graphic calculators effectively in teaching and learning mathematical concepts and problem solving for most domains of secondary school mathematics.

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An Instruction of the Underachieved Students of using Graphic Calculator: A Case Study (그래프 계산기를 활용한 수학 부진아 지도: 사례 연구)

  • 나귀수
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.167-181
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    • 1999
  • The aim of this study is to investigate the influence of graphic calculator in the teaming of function of the underachieved students in the second grade of middle school. Under this purpose of the study, we devised the instruction-plan which incorporates the using of graphic calculator into the traditional paper-and-pencil teaming environments, and executed the function-instruction with the underachieved students according to the devised instruction-plan. During the lesson hours, we observed and analysed the contributions and the carefulness of using graphic calculator in the learning of function of the underachieved students. Furthermore, we carried out the pre-test and the post-test to examine the effects of using graphic calculator in the learning of function of the underachieved students.

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Analysis and comparison on the Contents including Calculator Use in Applied Mathematics Textbook (실용수학 교과서의 계산기 관련 단원 내용 비교 분석)

  • Hwang Hye-Jeang;Ko Yu-Mi
    • The Mathematical Education
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    • v.45 no.1 s.112
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    • pp.35-60
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    • 2006
  • In the seventh mathematics curriculum, the use of technological tools including calculator and computer are generally recommended through the seventh subjects related to mathematics emphasized, and especially in 'Applied Mathematics' subject, their use are more strongly emphasized and reflected. The total four kinds of textbooks of Applied Mathematics includes contents on their use. This study investigates what are contents on calculator use, how they are developed and constructed in Applied Mathematics Textbook. Furthermore, this study is focused on the analysis and comparison on those factors of four kinds of textbooks. Based on these results, this study ultimately hope to suggest how effectively calculator use be developed and constructed in textbook both in Applied Mathematics and the other mathematics subjects.

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The effect of a graphing caculator in trigonomatry : Analysis of thinking processes by gualitative research method (그래핑 계산기를 활용한 삼각함수 학습 효과: 질적 연구 방법에 의한 학습과정분석)

  • 고상숙
    • School Mathematics
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    • v.1 no.2
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    • pp.483-512
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    • 1999
  • The purpose of the research was to investigate the patterns of student's mathematical thinking and behavior and describe the nature of difficulties the student underwent in trigonometry as the student conducted independent explorations within the interactive technology environment. Also, the research identified the connections among multiple representations and merits and shortcomings in using a graphic calculator as a tool. A take-based clinical interview procedure as the method for qualitative research was used to find the cognitive actions of the participant and his interactions with the graphic calculator. A case study report was written for the student. The researcher found that the student moved from operative stage, to constructive stage, to applicable stage of thinking. From Colgan; Graphing has significance both to mathematics and mathematics education in at least three ways since: * graphing represents an important technique, instrument and process in mathematics; * through ‘graphing’, per se, students can be said to be using one symbolic system to extend and acquire an understanding of another(e. g., trigonometric functions and their graphs). * graphing is propaedeutic to other, more advanced topics and concepts in mathematics.

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A Study on the Design and Implementation of Mathematics and Science Integrated Instruction (수학과학통합교육의 설계 및 실행에 대한 연구)

  • Lee, Hei-Sook;Rim, Hae-Mee;Moon, Jong-Eun
    • The Mathematical Education
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    • v.49 no.2
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    • pp.175-198
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    • 2010
  • To understand natural or social phenomena, we need various information, knowledge, and thought skills. In this context, mathematics and sciences provide us with excellent tools for that purpose. This explains the reasons why there is always significant emphasis on mathematics and sciences in school education; some of the general goals in school education today are to illustrate physical phenomena with mathematical tools based on scientific consideration, to encourage students understand the mathematical concepts implied in the phenomena, and provide them with ability to apply what they learned to the real world problems. For the mentioned goals, we extract six fundamental principles for the integrated mathematics and science education (IMSE) from literature review and suggest a instructional design model. This model forms a fundamental of a case study we performed to which the IMSE was applied and tested to collect insights for design and practice. The case study was done for 10 students (2 female students, 8 male ones) at a coeducational high school in Seoul, the first semester 2009. Educational tools including graphic calculator(Voyage200) and motion detector (CBR) were utilized in the class. The analysis result for the class show that the students have successfully developed various mathematical concepts including the rate of change, the instantaneous rate of change, and derivatives based on the physical concepts like velocity, accelerate, etc. In the class, they described the physical phenomena with mathematical expressions and understood the motion of objects based on the idea of derivatives. From this result, we conclude that the IMSE builds integrated knowledge for the students in a positive way.

A Case Study of an Activity Based Mathematical Education: A Kernel Density Estimation to Solve a Dilemma for a Missile Simulation

  • Kim, G. Daniel
    • Communications of Mathematical Education
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    • v.16
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    • pp.139-147
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    • 2003
  • While the statistical concept 'order statistics' has a great number of applications in our society ranging from industry to military analysis, it is not necessarily an easy concept to understand for many people. Adding some interesting simulation activities of this concept to the probability or statistics curriculum, however, can enhance the learning curve greatly. A hands-on and a graphic calculator based activities of a missile simulation were introduced by Kim(2003) in the context of order statistics. This article revisits the two activities in his paper and point out a dilemma that occurs from the violation of an assumption on two deviation parameters associated with the missile simulation. A third activity is introduced to resolve the dilemma in the terms of a kernel density estimation which is a nonparametric approach.

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Performance Evaluation of Asynchronous Concurrent System Using Timed Petri Nets (타임 페트리 네트를 이용한 비동기식 병행 시스템의 성능 평가)

  • 이부영;송영재
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.14 no.5
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    • pp.511-520
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    • 1989
  • Generally, Intelliget link is made of drawing picture that is amalgated in two conception of communication and processing. This is a new system of information transmission having fuction being able to handle een though the former information transmission can not be possible. That Intelligent link is to say that function of each segment by working software can be anailable at general purposed pipeline processing system, general purpose pipeline have a different working time in function of segmant, work asynchronizing pipeline. in the papers, graphic design is easy to understand the sense of sight model by Petri Net that is simple regulation. it can translate into working of asynchronzing pipeline by working of calculator of simulation.

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Estimating USLE Soil Erosion through GIS-based Decision Support System

  • Her, Y.G.;Kang, M.S.;Park, S.W.
    • Journal of The Korean Society of Agricultural Engineers
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    • v.48 no.7
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    • pp.3-14
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    • 2006
  • The objective of this study was to develop a GIS-based decision support system (GIS-USLE system) to estimate soil erosion and evaluate its effect on concentrated upland plots in Godang district, Korea. This system was developed for the ArcView environment using A VENUE script. Three modules were used in the GIS-USLE system, namely pre-processing, the USLE factors calculator module, and post-processing. This system benefits from a user friendly environment that allows users with limited computer knowledge to use it. This system was applied to 1,285 individual upland plots ranging from 0.005 to 1.347 ha in size with an average slope steepness of 14 %. The rainfall distributions were estimated using the three methods, namely Mononobe and Yen-Chow with Triangle and with Trapezoid type, and then used to calculate the rainfall erosivity factor. The soil erosion amounts from the 1,285 individual plots in the study area by 2 year return period with a 24h maximum rainfall amount of 154.6 mm were estimated at 5 tons/ha on average. Slope appeared to be the most important factor affecting soil erosion estimation, as expected. The prototype model was applied to the project area, and the results appeared to support the practical applications. By examining many fields simultaneously, this system can easily provide fast estimation of soil erosion and thus reveal the spatial pattern of erosion from fields in a region. This study will help estimate and evaluate soil erosion in concentrated upland districts and identify the best management practices.

An analysis of factors which affect teachers' self-confidence in using technology for mathematics class (테크놀로지를 활용한 교사의 확신(self-confidence)에 영향을 미치는 요인 탐색)

  • Hong, Ye-Yoon;Im, Yeon-Wook
    • Journal of Digital Convergence
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    • v.10 no.11
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    • pp.565-577
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    • 2012
  • Various factors affecting teachers' self-confidence exist in math class using technology such as graphic calculators. For example, internal factors such as teachers' attitude and external factors such as school administrators or colleague's support can be considered. Pedagogical Technology Knowledge(PTK) is the very important factor which determines teacher's self-confidence in educational technology, and the development of PTK is composed of teacher's perception on the technology and its application and instrumentation. This study investigated 19 pre-service and current middle and high school teachers in the respect of their change of self-confidence, attitude, expertise on pedagogical technology, and quality of math class. These are anlayzed with the concept of instrumentation and instrumentalization through various experiences like graphic calculator, GPS and AutoGraph. The result indicated that constraints or obstacles did not affect much if teachers' attitude and self-confidence were strong. Particularly teachers' firm will to learn about technology and their confidence on its value are the critical factors in using technology for mathematics class.