• Title/Summary/Keyword: 계산 수학

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문제중심 수업과 설명식 수업의 효과 분석

  • Baek, Seon-Su;Kim, Won-Gyeong
    • Communications of Mathematical Education
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    • v.8
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    • pp.107-119
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    • 1999
  • 본 연구의 목적은 문제중심 수업과 설명식 수업이 학생들의 학업 성취에 미치는 효과를 분석하는 것이다. 본 연구를 통하여 얻은 결과는 첫째, 문제중심 수업과 설명식 수업은 계산 문제의 학업 성취도에 있어서 유의미한 차이가 없었으며, 둘째, 문제중심 수업과 설명식 수업은 적용 문제의 학업 성취도에 있어서 유의미한 차이가 있었다. 본 연구의 결과를 통하여, 문제중심 수업은 계산력을 향상시킬 수는 없었지만, 교사에 의한 통상적인 지도 없이도 계산력은 유지될 수 있음을 보여주었다. 또한, 문제중심 수업은 설명식 수업보다 문제 해결력을 향상시킬 수 있는 교수법임을 시사한다.

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A study on investigation about the meaning and the research trend of computational thinking(CT) in mathematics education (수학교육에서 계산적 사고(Computational Thinking)의 의미 및 연구 동향 탐색)

  • Shin, Dongjo;Choi-Koh, Sangsook
    • The Mathematical Education
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    • v.58 no.4
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    • pp.483-505
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    • 2019
  • Across the world, there is a movement to incorporate computational thinking(CT) into school curricula, and math is at the heart of this movement. This paper reviewed the meanings of CT based on the point of view of Jeanette Wing, and the trend of domestic and international studies that incorporated CT into the field of mathematics education was analyzed to provide implications for mathematics education and future research. Results indicated that the meaning of CT, defined by mainly computer educators, varied in their operationalization of CT. Although CT and mathematical thinking generally have common points that are oriented toward problem solving, there were differences in the way of abstraction that is central to the two thinking processes. The experimental studies on CT in the field of mathematics education focused mainly on the development of students' cognitive capacities and affective domains through programming(coding). Furthermore, the previous studies were mainly conducted on students in school, and the studies conducted in the context of higher education, including pre-service and in-service teachers, were insufficient. Implications for mathematics teacher educators and teacher education as well as the relationship between CT and mathematical thinking are discussed.

A Study on Teaching And Learning in Elementary School ICT using Excel based Math. Education (초등학교 수학과 ICT활용교육에서 Excel을 활용한 교수-학습에 관한 연구)

  • Kim, Jung-Hwan;Lee, Jae-In;Han, Byoung-Rae
    • 한국정보교육학회:학술대회논문집
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    • 2007.01a
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    • pp.141-148
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    • 2007
  • ICT는 21세기 지식기반사회에서 교육효과를 증대시킬 수 있는 강력한 도구라는 여러 가지 이유로 ICT 활용교육이 중시되어 왔었고, 학교 현장에서는 ICT를 활용한 교수 학습이 활발하게 도입되었다. 그 중 Excel은 뛰어난 수식 계산과 논리 판단 기능을 갖추고 있어서 간단한 계산에서부터 함수를 이용한 복잡한 수식 작성과 문자의 연산, 데이터의 비교 분석과 그래프를 통한 통계처리까지 거의 모든 종류의 계산을 할 수 있다는 점에서 수학과에서 그 가능성이 제시되어 왔다. 그러나 기존의 연구는 대부분 중 고등학교 수학과에 한정되어 있어 초등학교에서 활용하기에는 무리가 있었다. 이에 본 연구에서는 초등학교 수학과에서의 Excel 활용 수업을 적용하기에 적합한 학습 주제를 선택하여 학생들이 계산하는데 걸리는 시간보다는 문제해결을 위한 사고에 중점을 둔 문제해결 수업모형을 개발하여 적용해 보기로 하였다.

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그래핑 계산기를 활용한 수학개념 연계지도의 실제 - 연립방정식과 일차함수 단원을 중심으로 -

  • Kim, Jeong-Hui;Seo, Myeong-Hui;Park, Yong-Beom
    • Communications of Mathematical Education
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    • v.10
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    • pp.107-124
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    • 2000
  • 정보화 시대의 수학 교육은 수학을 체험해 볼 수 있게 하여(Doing Mathematics) 수학적 힘을 향상시키는 데 초점을 두어야 한다. 이를 위해서는 수학의 기본 지식 ${\cdot}$ 추론 능력 ${\cdot}$ 문제 해결력 ${\cdot}$ 수학적 아이디어의 표현 및 교환 능력 그리고 사고의 유연함 ${\cdot}$ 인내 ${\cdot}$ 흥미 ${\cdot}$ 지적 호기심 ${\cdot}$ 창의력을 길러 주는 다양한 교수 ${\cdot}$ 학습 방법이 필요하다. 본 연구는 연립방정식과 일차함수 단원에서 그래핑 계산기를 활용하여 다양한 표상을 통한 수학 개념의 연계지도와 수학 학습 태도 개선을 위한 교수 ${\cdot}$ 학습 모델을 구안 ${\cdot}$ 적용하는 데 주안점을 두고자 한다.

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A Feasibility Study on Integrating Computational Thinking into School Mathematics (수학 교과에서 계산적 사고(Computational Thinking)교육)

  • Chang, Kyung Yoon
    • School Mathematics
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    • v.19 no.3
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    • pp.553-570
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    • 2017
  • The purpose of this study was to gain insights into investigating the feasibility on integrating computational thinking(CT) into school mathematics. Definitions and the components of CT were varied among studies. In this study, CT in mathematics was focused on thinking related with mathematical problem solving under ICT supportive environment where computing tools are available to students to solve problems and verify their answers. The focus is not given on the computing environment itself but on CT in mathematics education. For integrating CT into mathematical problem solving, providing computing environment, understanding of tools and supportive curriculum revisions for integration are essential. Coding with language specially developed for mathematics education such as LOGO, and solving realistic mathematical problems using S/W such as Excel in mathematics classrooms, or integrating CT into math under STEAM contexts are suggested for integration CT into math education. Several conditions for the integration were discussed in this paper.

An Investigation on the Historical Developments of the Algorithms for Multiplication of Natural Numbers (자연수 곱셈 계산법의 역사적 발달 과정에 대한 고찰)

  • Joung, Youn-Joon
    • School Mathematics
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    • v.13 no.2
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    • pp.267-286
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    • 2011
  • In this paper I investigated the historical developments of the algorithms for multiplication of natural numbers. Through this analysis I tried to describe more concretely what is to understand the common algorithm for multiplication of natural numbers. I found that decomposing dividends and divisors into small numbers and multiplying these numbers is the main strategy for carrying out multiplication of large numbers, and two decomposing and multiplying processes are very important in the algorithms for multiplication. Finally I proposed some implications based on these analysis.

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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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Mathematical, Cognitive, and Pedagogical Fidelities in Learning the Conic Section Using a Graphing Calculator (그래핑 계산기를 활용한 이차곡선에서 예비교사들의 수학적, 인지적, 교수적 충실도에 관한 연구)

  • Choi-Koh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.17 no.1
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    • pp.45-71
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    • 2014
  • In learning the conic session, there is a gap between the curricula of the high school and the university level for the pre-service math teachers. So through the art of problem posing, 38 number of pre-service teachers worked in a pair to find fidelities in the environment of hand-held graphing calculator. We concluded that the cognitive fidelity showed three different properties using "what if not" strategy which the mathematical fidelity between the representations supported. Also, the exploration using a calculator in the pedagogical fidelity strongly helped them to apply and to expand their learning.

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