• Title/Summary/Keyword: learning mathematics

Search Result 2,427, Processing Time 0.034 seconds

A Study on Alternative Formalization of Division of Fractions Using Informal Knowledge (비형식적 지식을 이용한 대안적인 분수 나눗셈의 형식화 방안에 관한 연구)

  • Baek Sun Su
    • Education of Primary School Mathematics
    • /
    • v.8 no.2 s.16
    • /
    • pp.97-113
    • /
    • 2004
  • The purpose of this study is to develop instructional methods for the formalized algorithm through informal knowledge in teaching division of fractions. The following results have been drawn from this study: First, before students learn formal knowledge about division of fractions, they knowledge or strategies to solve problems such as direct modeling strategies, languages to reason mathematically, and using operational expressions. Second, students could solve problems using informal knowledge which is based on partitioning. But they could not solve problems as the numbers involved in problems became complex. In the beginning, they could not reinvent invert-and-multiply rule only by concrete models. However, with the researcher's guidance, they can understand the meaning of a reciprocal number by using concrete models. Moreover, they had an ability to apply the pattern of solving problems when dividend is 1 into division problems of fractions when dividend is fraction. Third, instructional activities were developed by using the results of the teaching experiment performed in the second research step. They consist of student's worksheets and teachers' guides. In conclusion, formalizing students' informal knowledge can make students understand formal knowledge meaningfully and it has a potential that promote mathematical thinking. The teaching-learning activities developed in this study can be an example to help teachers formalize students' informal knowledge.

  • PDF

Theoretical Benefits and Research Findings Underlying the Use of Microcomputer-Based Laboratory in Science Teaching

  • Han, Hyo-Soon
    • Journal of The Korean Association For Science Education
    • /
    • v.22 no.5
    • /
    • pp.957-969
    • /
    • 2002
  • Theoretical benefits and research findings on the use of Microcomputer-based Laboratory (MBL) are considered for using MBL in a way that will be of benefit to students and teachers, and discussed as a whole for further synthesis, including the formulation of a research agenda for future consensus-based action. Based on the findings obtained from a comprehensive review of the literature, using a systematic approach, the uses of MBL were compared and contrasted for advancing understanding of the teaching and learning processes in science and mathematics. A number of benefits were proposed by MBL developers but not investigated by educational researchers. A few research studies considered the following practical aspects raised by classroom science teachers: technical problems of MBL equipment; inaccuracy or incompleteness of presentation; efficient ways for handling class time with MBL instruction; and development of MBL curriculum materials for their own instruction. This lack of research related to the use of MBL in science classrooms resulted in educational research that was neither respected nor utilized by science teachers. Setting a research agenda based on the theoretical benefits and research findings is necessary for the effective use of MBL in science classrooms can help to maximize the prospects for successful school improvement projects while minimizing the innovation-related frustrations of individuals.

An Investigation on the Mathematical Instruction Utilizing Performance Tasks according to the Backward Design (수학 교과에서의 수행과제를 활용한 수업 방안 탐색 -백워드 이론을 기반으로-)

  • Hwang, Hye Jeang;Park, Hyun Ju
    • The Mathematical Education
    • /
    • v.55 no.1
    • /
    • pp.107-127
    • /
    • 2016
  • The purpose of this study was to explore the possibility of mathematical instruction through performance task activities based on the The Backward Design, which was suggested at first by Wiggins & McTighe in 1998. The Design deals with a performance assessment task involving the whole objective and its entire content of a lesson. Based on the Backward Design, this study established the mathematical instructional materials, which deal with the concept of 'the sector' taught in middle school, with one large performance task including three small tasks. It is important that in the lesson students be guided to achieve the several learning goals by themselves through reasoning activities. For this purpose, a formal interview was carried out by the subject of three middle school mathematics teachers. As a result, in order to implement the instruction utilizing the performance tasks more efficiently in future, it is required that a large performance task should be selected or developed including the content or problem contexts to be relevant with the real-life challenging situations. In addition, to make students enhance reasoning skills, it is strongly requested that the tasks including the utilization of supplementary materials such as technological devices or manipulatives be dealt with in a lesson.

A study on the communication in process of applying mathematical modeling to children in elementary mathematics classroom (초등학생의 수학적 모델링 적용과정에서 나타나는 의사소통에 관한 연구: 5학년 수와 연산을 중심으로)

  • Lee, Ji Young;Kim, Min Kyeong
    • The Mathematical Education
    • /
    • v.55 no.1
    • /
    • pp.41-71
    • /
    • 2016
  • The purpose of this study is to investigate elementary students' communication in process of applying mathematical modeling. For this study, 22 fifth graders in an elementary school were observed by applying mathematical modeling process (presentation of problem ${\rightarrow}$ model inducement activity ${\rightarrow}$ model exploration activity ${\rightarrow}$ model application activity). And the level of their communication with their activity sheets and outputs, observation records and interviews were also analyzed. Additionally, by analyzing the activity cases of and , this study researched that what is a positive influence on students' communication skills. Whereas showed significant advance in the level of communication, who communicated actively on speaking area but not on every areas showed insensible changes. To improve communication abilities, cognitive tension and debate situation are needed. This means, mathematical education should continuously provide students with mathematical communication learning, and a class which contains mathematical communication experiences (such as mathematical modeling) will be needed.

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
    • /
    • v.54 no.3
    • /
    • pp.241-259
    • /
    • 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
    • /
    • v.18 no.2
    • /
    • pp.1-19
    • /
    • 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
    • /
    • v.4 no.5
    • /
    • pp.637-644
    • /
    • 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
    • /
    • v.6 no.1
    • /
    • pp.1-7
    • /
    • 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
    • /
    • v.33 no.4
    • /
    • pp.381-411
    • /
    • 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
    • /
    • v.10 no.2
    • /
    • pp.141-149
    • /
    • 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.

  • PDF