• Proceedings of the Korea Society of Elementary Mathematics Education
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• 2010.08a
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• pp.1-12
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• 2010

초등학교 6학년을 대상으로 6회 총 120분 동안 1996을 활용해서 1에서 100까지 수를 만들게 하는 활동을 한 결과를 제시하고 분석하였다. 이 퍼즐 과제 활동은 아이들의 수학적 사고를 많이 향상시켰으며, 수학적 성향을 강화시켰다. 특히, 이 과제에서 아이들은 협동의 이점을 알게 되었고 수학적 의사소통의 중요성도 경험하는 계기가 되었다. 무엇보다도 지수, 제곱근, 가우스 함수의 아이디어가 먼저 제시되고, 후속학습이 일어났다. 계산기가 어떻게 활용되어야 하는지에 대한 아이디어도 제공했다.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.477-494
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• 2012

This study is to review the content organization and developmental ways of the unit on the mixed calculations and explore the alternatives on the basis of students' responsive examples and error patterns with relation to the mixed calculations, mnemonics of PEMDAS and historical context with relation to the order of operations. Then I analyzed the textbook and manual for teachers of the unit of mixed calculations of fourth grade and improvement about teaching the mixed calculations. First, I pointed out illogical connection between practical problem and rules of order of operations. Second, I suggested constructing a textbook by considering conventional character of order of operations. Third, I pointed out the importance of structural understanding of an expression of mixed calculations and various strategies with relation to teaching and learning. This study is suggestive for textbook development of the mixed calculations.

• School Mathematics
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• v.15 no.3
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• pp.569-583
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• 2013

In Korea, the school mathematics curricula have been revised in every average 6 years by the government. From the year 2013, the new revised curricula called 2009 version are implied. The subject of elementary mathematics in this new curricula contains four issues to be improved. First, it should be allowed to call the basic figures such as box, cylinder, ball, quadrilateral, triangle and circle in verbal languages. Second, the name of the activities to define mathematical concepts should be changed from 'Yaksok', which means 'promise' in English, to a better and more honest one. Third, the concave polygons should be treated together with the convex ones. Fourth, the calculations of fractions should be weakened as much as possible for the elementary school children.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.623-644
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• 2014

Many researchers have supported in various aspects that elementary students should experience alternative algorithms as well as formal standard one for addition and subtraction. Korean elementary mathematics textbooks have some units for alternative algorithms for addition and subtraction. In special, the change of unit sequence in the second grade revised mathematics textbooks may cause the necessity for discussion about teaching sequence and teaching purpose between alternative algorithms and formal standard one. Therefore, this study aims to consider the purpose of teaching alternative algorithms and to induce implications for their teaching strategies and sequence. To do this, related references, curriculum and textbooks were analyzed. Four lessons were observed and three teachers were interviewed. The main content of this study is the result of analysis on students' activities and teachers'teaching approaches. This study also includes didactical implications based on the result.

• Journal of Elementary Mathematics Education in Korea
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• v.4 no.1
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• pp.21-37
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• 2000

Although methods about teaching basic principles and skills of addition and subtraction is long traditional, view points of interpreting those algorithms and ways of introducing those calculating skills are various according to textbooks at each historical stage of elementary mathematics curriculum development in Korea. The 1st and 2nd stage shows didactic transpositions less systemic. In the 3rd and 4th stage, didactic devices, which were influenced by the new math, for help of understanding the principles of addition and subtraction muchly depends on mathematical and logical mechanism rather than psychological and intellectual structure of students who learn those algorithms. Relatively compromising and stable forms appear in the 5th and 6th stages. Didactic transpositions in the 7th stage focus on the formation of mathematical concepts by exploration activities rather than on the presentation of mathematical contents by text. Anyone who wishes to design an elementary mathematics textbooks based upon the constructive view should consider the suggestions derived from such transition.

• Communications of Mathematical Education
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• v.13 no.2
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• pp.641-653
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• 2002

수학 교육평가에서 고사 타당도의 측정은 매우 중요하다. 그것은 평가자가 목적하는 바의 준거에 따라 수험자들의 문제해결력 변별을 위한 고사들 간의 타당도 크기 측정과 또는 고사 문항의 선정, 배치를 통하여 한 고사의 타당도를 높이기 위한 문항별 타당도 계수를 측정 계산하는 것이다. 이 연구에서는 이 두 가지 고사 타당도의 크기 측정법을 이용하여 수학교육 평가 현장에서 직접적으로 적용할 수 있는 고사 타당도의 제고에 유효한 연구 결과를 제시한다.

• Journal for History of Mathematics
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• v.1 no.1
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• pp.33-67
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• 1984

Muslim의 수학은 천문학과 마찬가지로 종교적 필요성이 있었다. 기하학적 지식은 매일 예배하는 Mecca의 방향을 정하기 위한 것이었다면, 산술과 대수는 주로 제일을 계산하기 위해 필요했다. Muslim의 수학은 결국 종교적 욕구를 충족시키는데 끝없을 뿐 과학 일반에의 응용은 없었으나, 전 인류에게 그 지식을 보급시킴으로서 수학사상 중요한 위치를 차지한다. Muslim의 문화가 일어나는 시대는 10세기로 생각할 수 있으며, 특히 이 시기에 학술연구가 시작됐다. 11세기는 Muslim의 황금시기이며 실험과 이론의 두분야에서 눈부신 발달이 있었다. 12세기에는 퇴락의 과정을 밝으면서도 그 문화적 유산은 서구세계에 넘겼다. 본 눈문에서는 산술, 대수, 삼각법을 중심으로 이들 학문의 형성과정과 지식의 전달과정을 살핀다.

• School Mathematics
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• v.11 no.4
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• pp.745-771
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• 2009

To acquire the hints of the development of children's multiplication strategies, this study tried to find the differences between the students who learned multiplication and the students who didn't. And we also tried to explore their acquired computational resources. As a result, we confirm that there is a certain direction on the development of children's multiplication strategies according to their grades and the level of acquirement of mathematical knowledge. Moreover, we comprehend that commutative law is an important part of the strategies on two-digit multiplication and that acquisition of the computational resources must precede the learning of multiplication strategies. In the end part, this article proposes a new taxonomy of strategies for multiplication. To support our proposal, we integrated the prior researches with our findings.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.63-78
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• 2011

The purpose of this study is to explore a teaching method of limits of functions with more intuitive and visual of CAS graphing calculators rather than with the rigorous ${\epsilon}-{\delta}$ method. Texas Instruments Voyage200 CAS graphing calculators are used for studying the possibility of the use of technology in calculus course. For this, various related theoretical constructs are reviewed: concept image, concept definition, cognitive conflict, the use of visualization of technology for calculus concepts, the theory of APOS, and local straightness. Based on such theoretical constructs this study suggests a teaching method of limits of functions with embodied visualization of CAS graphing calculators.

• Communications of Mathematical Education
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• v.10
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• pp.155-168
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• 2000

현대 사회를 살아가는 교양을 갖춘 시민과 지혜로운 소비자가 되기 위해서 통계적 지식 및 확률적 지식은 필수적인 능력으로 간주된다. 자료 주도적 확률과 통계의 학습이란 학생들이 스스로 자료를 수집하고, 조직하고, 표현하고, 해석하는 직접적인 활동을 통해 확률과 통계의 개념, 원리의 터득은 물론 추론과 의사소통능력, 문제해결력 등을 기를 수 있는 학습형태로서, 이런 학습을 완수한 학생들은 수학의 유용성 및 실생활과의 연결성을 더 잘 이해할 수 있게 된다. 따라서, 모든 확률과 통계 수업에서는 실제자료를 학생들이 직접 다루는 활동이 수행되어야 하며, 이를 위한 테크놀로지의 적절한 사용이 병행되어야 한다. 이 글에서는 이러한 자료 주도적 확률과 통계의 학습의 예와 그에 병행되는 그래픽 계산기의 활용 방안을 제시하고자 한다.