• Title/Summary/Keyword: Mathematical concept

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Analysis of the Equality Sign as a Mathematical Concept (수학적 개념으로서의 등호 분석)

  • 도종훈;최영기
    • The Mathematical Education
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    • v.42 no.5
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    • pp.697-706
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    • 2003
  • In this paper we consider the equality sign as a mathematical concept and investigate its meaning, errors made by students, and subject matter knowledge of mathematics teacher in view of The Model of Mathematic al Concept Analysis, arithmetic-algebraic thinking, and some examples. The equality sign = is a symbol most frequently used in school mathematics. But its meanings vary accor ding to situations where it is used, say, objects placed on both sides, and involve not only ordinary meanings but also mathematical ideas. The Model of Mathematical Concept Analysis in school mathematics consists of Ordinary meaning, Mathematical idea, Representation, and their relationships. To understand a mathematical concept means to understand its ordinary meanings, mathematical ideas immanent in it, its various representations, and their relationships. Like other concepts in school mathematics, the equality sign should be also understood and analysed in vie w of a mathematical concept.

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On the students' thinking of the properties of derivatives (도함수의 성질에 관련한 학생들의 사고에 대하여)

  • Choi, Young Ju;Hong, Jin Kon
    • The Mathematical Education
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    • v.53 no.1
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    • pp.25-40
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    • 2014
  • Mathematical concept exists in the structural form, not in the independent form. The purpose of this study is to consider the network which students actually have for the mathematical concept structure related to the properties of derivatives. First, we analyzed the properties of derivatives in 'Mathematics II' and showed the mathematical concept structure of the relations among derivatives, functions, and primitive functions as a network. Also, we investigated the understanding of high school students for the mathematical concept structure between derivatives and functions, and the structure between functions and second order derivatives when the functional formula is not given, and only the graph is given. The results showed that students mainly focus on the relation of 'function-derivatives', the thinking process for direction of derivative and the thinking style for algebra. On this basis, we suggest the educational implication that is necessary for students to build the network properly.

Creep Behavior of Unconsolidated Rock with Mathematical Concept Solution (수학적 개념 해를 적용한 미고결 암석의 Creep거동 해석)

  • Jang, Myoung-Hwan
    • Tunnel and Underground Space
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    • v.28 no.1
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    • pp.25-37
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    • 2018
  • Burger's model was used to analyze creep characteristics of unconsolidated rock. Burger's model should determine four physical parameters from two pairs of data. In this study, physical parameters of Burger's model were determined by applying mathematical concept solution. Creep was accelerated for three years using the determined physical parameters of the Burger's model for unconsolidated rocks. As a result, the creep behavior showed a continuous deformation behavior without convergence. Therefore, in this mine, it is analyzed that the application of U-Beam is more appropriate than roofbolt in terms of stability.

The Effects of Cookbook Making Activities on Young Children's Mathematical Concepts and Writing Development (요리활동에 기초한 책 만들기 활동이 유아의 수학개념 및 쓰기발달에 미치는 영향)

  • Park, Mi-Young;Kim, Min-Jin
    • Korean Journal of Child Studies
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    • v.35 no.6
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    • pp.93-110
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    • 2014
  • The purpose of this study was to examine the effects of cookbook making activities on young children's mathematical concept and writing development. The participants were comprised of 50 five-year-old children from two intact classes from a kindergarten in Gyeonggi province, and they were divided into an experimental and a comparison group. The experimental group participated in cooking activities and produced cookbooks as extension activities whereas the comparison group carried out only cooking activities. The results indicated that the children in the experimental group received statistically higher scores in mathematical concept- and writing-tests, suggesting that cookbook making activities are a useful educational tool for enhancing young children's mathematical concepts and facilitating their writing development.

A Study on the Function Education of Middle School Using the Technical Instruments (중학교 1학년 함수지도에서의 공학적 도구 활용에 관한 연구)

  • Chu, Soon-Jong;Kim, Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.189-209
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    • 2009
  • One of the characteristics in math -abstract concept- makes the students find difficulties in understanding general ideas about math. This study is about how much do the modeling lessons using the technical instruments which is based on the realistic mathematical theory influence on understanding the mathematical concept. This study is based on one of the contents the first grade of middle school students study, the function, especially the meaning of it. Some brilliant students being the objects of this study, mathematically experimental modeling lesson was planned, conducted. Survey on the students' attitudes about math before and after the modeling classes and Questionnaire survey on the effectiveness about the modeling class were conducted and their attitudes were recorded also. This study tells that students show very meaningful changes before and after the modeling class and scientific knowledge seems to be very helpful for the students to understand the mathematical concept and solve the problems. When scientific research and development get together with mathematics, students will be more motivated and be able to form the right mathematical concept easily.

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불교의 연기론에 의한 수학적 무한에 관한 고찰

  • 이승우
    • Journal for History of Mathematics
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    • v.15 no.2
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    • pp.77-82
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    • 2002
  • This paper is concerned with the mathematical concept displayed in Buddhism, which is reasonable enough to consider as a philosophy and encompasses the concept of infinity as scientific as that of mathematics. The purpose of this paper is to examine the changing process of the Buddhism concept of infinity on the basis of time sequence and to combine this with that of mathematics.

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The Processes of Developing Mathematical Concepts Based on the Vygotsky′s Theory (함수의 그래프에서 학생의 개념 발달과정에 대한 특성)

  • 고호경
    • Journal of the Korean School Mathematics Society
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    • v.6 no.1
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    • pp.163-175
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    • 2003
  • The research was aimed to find a special quality to the mathematical concept development using a graphing calculator in the collaborative learning. I could observe the process in which the students had formed the generalized and abstract mathematical concepts after they were given different concepts. I \ulcorner-Iso observed the characteristics of how they started with a vague syncretic conglomeration and approached to the complicated thoughts and genuine concepts. The advance of the collection type was achieved in the process of teacher's confirming of what the students had observed with a calculator. The language and the instrument were used in order for students to control the partial process. Also, they were given similar types of problems to make them clear when the students confronted 'the crisis of thoughts' at the level of pseudo-concept.

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Error analysis related to a learner's geometrical concept image in mathematical problem solving (학생이 지닌 기하적 심상과 문제해결과정에서의 오류)

  • Do, Jong-Hoon
    • Journal of the Korean School Mathematics Society
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    • v.9 no.2
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    • pp.195-208
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    • 2006
  • Among different geometrical representations of a mathematical concept, learners are likely to form their geometrical concept image of the given concept based on a specific one. A learner's image is not always in accord with the definition of a concept. This can induce his or her errors in mathematical problem solving. We need to analyse types of such errors and the cause of the errors. In this study, we analyse learners' geometrical concept images for geometrical concepts and errors related to such images. Furthermore we propose a theoretical framework for error analysis related to a learner's concept image for a general mathematical concept in mathematical problem solving.

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A Study on Quality Policy and Warranty Cost in Multi-components Assembly Product (다수부품(多數部品) 조립제품(組立製品)의 품질정책(品質政策)과 보증수리비(保證修理費)에 관한 연구(硏究))

  • Jo, Jae-Rip;Hwang, Ui-Cheol
    • Journal of the Korean Society for Quality Management
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    • v.15 no.1
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    • pp.2-12
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    • 1987
  • Warranty cost usually involves complex factors paticularly when the product concerned consists of a great deal of parts. In spite of that it can be assessed by means of rather simple mathematical expression, it is possible to realistically appraise the sensitivity to any type of quality policy. This paper thus presents the mathematical concept related to the warranty cost and the general relationship showing that quality policy can be established in connection with the economic quality level.

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