• Title/Summary/Keyword: learning mathematics

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A comparative analysis on research trends of statistics education between Korea and overseas (국내외 통계교육 연구동향 비교 분석)

  • Lee, Eun Hee;Kim, Won Kyung
    • The Mathematical Education
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    • v.54 no.3
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    • pp.241-259
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    • 2015
  • The purpose of this study is to analyze research trends and specific features in the statistics education between Korea and overseas. For this purpose, a total of 180 articles presented in 4 domestic and 4 foreign journals of the mathematics education and statistics education was investigated. The result findings are as follows. First, more than half of researches have been carried out in teaching and learning, understanding of statistical concepts in both of domestic and foreign journals. Second, some researches on the affective effect were carried out in foreign journals, but not in domestic journals. Third, researches on the teacher education were carried out mainly for the pre-service teachers in domestic journals, but mainly for the in-service teachers in foreign journals. Fourth, empirical study was mainly used for the research method in domestic journals while both empirical and non-empirical study were used in foreign journals. Fifth, subjects of research were mainly secondary students in domestic journals, but over undergraduate students in foreign journals.

Science Achievement: Synthesis of Current Conceptions in Major Reform Documents in the United States and Korea (과학 교육 개혁 운동에 관련된 보고서 분석을 통한 과학 성취 개념의 재정의)

  • 백성혜;이옥희
    • Journal of Korean Elementary Science Education
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    • v.18 no.2
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    • pp.1-19
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    • 1999
  • Based on the analysis of commonalities and differences in the views of science achievement in major reform documents in the United States and Korea, an aggregated view of science achievement is presented in this paper Science achievement is conceived of in terms of science content and science process. The components of science content include: (a) concepts and theories I n physical, life, and earth and space science;(b) science, mathematics, and technology;(c) science in personal and social perspectives;(d)history and nature of science;and (e) unifying themes. The components of science process include: (a) scientific understanding;(b) scientific investigation;(c) scientific communication; and (d) scientific habits of mind. The components of science process.cut across and intersect with the components of science content. The components of science achievement overlap and are related to one another. Despite such an overlap, understanding the rot e that each component plays provides insight into its unique contributions as well as its interactions with other components. A definition of science achievement and identification of its components based on major reform documents provides a guideline for science assessment as well a s science teaching and learning.

Robust Segmentation for Low Quality Cell Images from Blood and Bone Marrow

  • Pan Chen;Fang Yi;Yan Xiang-Guo;Zheng Chong-Xun
    • International Journal of Control, Automation, and Systems
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    • v.4 no.5
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    • pp.637-644
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    • 2006
  • Biomedical image is often complex. An applied image analysis system should deal with the images which are of quite low quality and are challenging to segment. This paper presents a framework for color cell image segmentation by learning and classification online. It is a robust two-stage scheme using kernel method and watershed transform. In first stage, a two-class SVM is employed to discriminate the pixels of object from background; where the SVM is trained on the data which has been analyzed using the mean shift procedure. A real-time training strategy is also developed for SVM. In second stage, as the post-processing, local watershed transform is used to separate clustering cells. Comparison with the SSF (Scale space filter) and classical watershed-based algorithm (those are often employed for cell image segmentation) is given. Experimental results demonstrate that the new method is more accurate and robust than compared methods.

Developing an Art-based Integration Program for the Korean Schools in the United States

  • Jung, Hyunil
    • International Journal of Advanced Culture Technology
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    • v.6 no.1
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    • pp.1-7
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    • 2018
  • The purpose of this study is to develop an art-based integration program for the Korean schools in the United States to improve students' academic performance and nurture the spirit of the young and can enable students taking art classes to better understand social and cultural phenomena influencing their lives. This study integrates with six other subjects that are language art, math, religion, social studies, and Korean history. Art classes are considered the main vehicle for integrating the entire program using a thematic approach. The methodology of this study is based on the literature research and the information of the place, the Korean School of Columbus, is that the school is one of 124 Korean Schools in the Mid-western states and is located in the northern part of Columbus, Ohio. In this study, I developed an art-based integration program to be connected well with other subjects to help students to make sense of them in the complex societies and to help them to obtain the five goals that are included: First, students will understand about a Korean history and culture through making a kite; Second, they will know that a kite can be used as ways of communication with people and God; Third, they will also know how different types of kites respond to the airflow of the wind; Fourth, they will understand an enjoyable and different way of learning about aspects of Fine art, Bible, Language art, Mathematics, Science, History, and Social studies; Lastly, they will learn how important to cooperate with each other.

An Effect of Problem-solving Lessons with Problem-posing on Mathematical Creativity (문제 만들기를 적용한 문제해결수업이 수학적 창의성에 미치는 영향)

  • Kim, Seo Lin;Kim, Dong Hwa;Seo, Hae Ae
    • East Asian mathematical journal
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    • v.33 no.4
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    • pp.381-411
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    • 2017
  • The purpose of this study is to investigate how students' mathematical creativity changes through problem-solving instruction using problem-posing for elementary school students and to explore instructional methods to improve students' mathematical creativity in school curriculum. In this study, nonequivalent control group design was adopted, and the followings are main results. First, problem-solving lessons with problem-posing had a significant effect on students' mathematical creativity, and all three factors of mathematical creativity(fluency, flexibility, originality) were also significant. Second, the lessons showed meaningful results for all upper, middle, and lower groups of pupils according to the level of mathematical creativity. When analyzing the effects of sub-factors of mathematical creativity, there was no significant effect on fluency in the upper and middle groups. Based on the results, we suggest followings: First, there is a need for a systematic guidance plan that combines problem-solving and problem-posing, Second, a long-term lesson plan to help students cultivate novel mathematical problem-solving ability through insights. Third, research on teaching and learning methods that can improve mathematical creativity even for students with relatively high mathematical creativity is necessary. Lastly, various student-centered activities in math classes are important to enhance creativity.

Survey for the Remedial Instruction on Arithmetic Word Problems Solving of Elementary School Students (초등학생의 사칙계산 문장제 해결 보정교육을 위한 기초 연구)

  • Lee, Bong-Ju;Moon, Seung-Ho
    • Education of Primary School Mathematics
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    • v.10 no.2
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    • pp.141-149
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    • 2007
  • It is undeniably important to bring up a solution capability of arithmetic word problems in the elementary mathematical education. The goal of this study is to acquire the implication for remedial instruction on arithmetic word problems solving through surveying elementary school students' difficulties in the solving of arithmetic word problems. In order to do it, this study was intended to analyze the following two aspects. First, it was analyzed that they generally felt more difficulties in which field among addition, subtraction, multiplication and division word problems. Second, with the result of the first analysis, it was examined that they solved it by imagining as which sphere of the other word problems. Also, the cause of their error on the word problem solving was analyzed by the interview. From the foregoing analyses, the following implications for remedial instruction on arithmetic word problems solving are acquired. First, the accumulation of learning deficiency must be diminished through the remedial instruction. Second, it must help students to understand the given problem and to make of what the goal of problem is. Third, it must help students to form a good habit for reading the problem and to understand the context of problem. forth, the teacher must help students to review and reflect their problem-solving processes.

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An Analysis On Students' Misconceptions of the Reversibility of Irrational Functions (무리함수의 가역성에 대한 학생들의 오개념 분석)

  • Lee, Ki-Suk;Lee, Du-Ho
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.709-730
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    • 2010
  • The inverse function of a one-to-one correspondence is explained with a graph, a numerical formula or other useful expressions. The purpose of this paper is to know how low achieving students understand the learning contents needed reversible thinking about irrational functions. Low achieving students in this study took paper-pencil test and their written answers were collected. They made various mistakes in solving problems. Their error types were grouped into several classes and identified in this analysis. Most students did not connected concepts that they learned in the lower achieving students to think in reverse order in case of and to visualize concepts of functions. This paper implies that it is very important to take into account students' accommodation and reversible thinking activity.

Multimedia Scaffolding Tools to Help Children's Scientific Investigation in a Virtual Field (가상 필드에서 초등학생들의 과학적 탐구를 도와주는 멀티미디어 보조 도구)

  • Choo Yongjoo;Park Kyoung Shin
    • The KIPS Transactions:PartB
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    • v.12B no.2 s.98
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    • pp.143-150
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    • 2005
  • The Field is a simulated virtual environment specifically designed to assist elementary students learn the basic scientific inquiry skills such as observation, data collection, and generating and verifying hypothesis. Over the last four years, the Field has been used to teach inquiry learning in the context of mathematics and science in an elementary school. During the studies, it was observed that students suffered from problems in navigation, wayfinding, and data collection. First, this papers discusses the problems and the technical aids we have iteratively developed to address these issues. We will then discuss the impact of the technical aids on the student's behaviors.

Reliability analysis of simply supported beam using GRNN, ELM and GPR

  • Jagan, J;Samui, Pijush;Kim, Dookie
    • Structural Engineering and Mechanics
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    • v.71 no.6
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    • pp.739-749
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    • 2019
  • This article deals with the application of reliability analysis for determining the safety of simply supported beam under the uniformly distributed load. The uncertainties of the existing methods were taken into account and hence reliability analysis has been adopted. To accomplish this aim, Generalized Regression Neural Network (GRNN), Extreme Learning Machine (ELM) and Gaussian Process Regression (GPR) models are developed. Reliability analysis is the probabilistic style to determine the possibility of failure free operation of a structure. The application of probabilistic mathematics into the quantitative aspects of a structure and improve the qualitative aspects of a structure. In order to construct the GRNN, ELM and GPR models, the dataset contains Modulus of Elasticity (E), Load intensity (w) and performance function (${\delta}$) in which E and w are inputs and ${\delta}$ is the output. The achievement of the developed models was weighed by various statistical parameters; one among the most primitive parameter is Coefficient of Determination ($R^2$) which has 0.998 for training and 0.989 for testing. The GRNN outperforms the other ELM and GPR models. Other different statistical computations have been carried out, which speaks out the errors and prediction performance in order to justify the capability of the developed models.

A Study on the Modified RLS Algorithm Using Orthogonal Input Vectors (직교 입력 벡터를 이용하는 수정된 RLS 알고리즘에 관한 연구)

  • Ahn, Bong Man;Kim, Kwang Woong;Ahn, Hyun Gyu;Han, Byoung Sung
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.32 no.1
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    • pp.13-19
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    • 2019
  • This paper proposes an easy algorithm for finding tapped-delay-line (TDL) filter coefficients in an adaptive filter algorithm using orthogonal input signals. The proposed algorithm can be used to obtain the coefficients and errors of a TDL filter without using an inverse orthogonalization process for the orthogonal input signals. The form of the proposed algorithm in this paper has the advantages of being easy to use and similar to the familiar recursive least-squares (RLS) algorithm. In order to evaluate the proposed algorithm, system identification simulation of the $11^{th}$-order finite-impulse-response (FIR) filter was performed. It is shown that the convergence characteristics of the learning curve and the tracking ability of the coefficient vectors are similar to those of the conventional RLS analysis. Also, the derived equations and computer simulation results ensure that the proposed algorithm can be used in a similar manner to the Levinson-Durbin algorithm.