• Communications of Mathematical Education
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• v.29 no.1
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• pp.91-110
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• 2015

The purpose of this study is to investigate the understanding of pi of elementary gifted students and explore improvement direction of teaching pi. The results of this study are as follows. First, students understood insufficiently the property of approximation, constancy and infinity of pi from the fixation on 'pi = 3.14'. They mixed pi up with the approximation of pi as well. Second, they had a inclination to understand pi as algebraic formula, circumference by diameter. Third, few students understood the property of constancy and infinity of pi deeply. Lastly, the discussion activity provided the chance of finding the idea of the property of approximation of pi. In conclusion, we proposed several methods which improve the teaching of pi at elementary school.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.811-831
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• 2017

The purpose of this study is to analyze the contents of pi of Chosun-sanhak and organize the teaching and learning activities to help to understand the concept of pi deeply using the analysis results. The results of this study are as follows. First, Chosun-sanhak used various approximate values of pi and those were represented as the form to reveal the meaning of the ratio of radius and circumference. Second, There were the freedom of selection of the approximate values of pi suitably. Lastly, the enriched leaning about pi need to draw a distinction pi from approximate values of pi, choose the suitable approximate values of pi and compare the method of calculation of circumference and the area of circle of Chosun-sanhak and today's mathematics. In conclusion, I proposed several issues which is worth exploring further in relation to pi and Chosun-Sanhak.

• Communications of Mathematical Education
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• v.36 no.4
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• pp.589-610
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• 2022

This study aimed to derive pedagogical implications by comparing and analyzing how the concept of pi is taught in 10 different elementary mathematics textbooks, which are scheduled to be applied from 2023. We developed a textbook analysis framework by previous studies on the concept of pi and the teaching of pi, and analyzed in terms of three instructional elements (i.e. inferring conceptsof pi, understanding properties of pi, and applying relationships). We derived the need to emphasize various contexts for estimation of pi, presentation of problem situations that provide motivation to actually measure diameters and circumferences, providing an opportunity to explore the properties of measurement, and an experience the flexibility of selecting an approximate value of pi. Based on the above conclusions and pedagogical implications through the research results., we suggested ways to teach the concept of pi in elementary mathematics and improvement points for developing textbooks focusing on the context of introduction of pi and the use of technological tools.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2007.06a
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• pp.21-28
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• 2007

학교수학의 내용 중에는 수학적으로 깊은 의미를 가지고 있지만, 교실수업에서는 자명한 것으로 취급되어 그 중요성이 간과되고 있는 것이 있다. 본 연구에서는 원주율의 값이 상수라는 익숙한 사실을 그 구체적인 예로 들어 수학적 의미를 재음미하는 한편, 아르키메데스가 원주율을 계산한 방법 속에서 교육적 시사점을 찾아 탐구주제로서의 원주율의 가치를 부각시키고자 한다.

• Journal of the Korean School Mathematics Society
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• v.21 no.4
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• pp.445-467
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• 2018

In this study, we analyzed the contents of pi and the area of a circle presented in Korean, Japanese, Singapore, and American mathematics textbooks, and drew implications for the teaching of pi and the area of a circle in school mathematics. We developed a textbook analysis framework by theoretical discussions on the concept of the pi based on the various properties of pi and the area of a circle based on the central ideas of measurement and the previous researches on pi and the area of a circle in elementary mathematics. We drew five suggestions for improving the teaching of pi and three suggestions for improving the teaching of the area of a circle in Korean elementary schools.

• The Mathematical Education
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• v.47 no.1
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• pp.1-10
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• 2008

Some of school mathematics contents that have deep mathematical meanings are regarded as obvious and their importance is frequently overlooked. We first reexamined the mathematical meaning of pi as a constant. Then we indicated the educational implications of Archimedes' calculation method of pi and finally underlined the availability of pi as a valuable research topic in school mathematics.

• Education of Primary School Mathematics
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• v.26 no.1
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• pp.65-82
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• 2023

The purpose of this study is to examine how pre-service teachers' digital capabilities and content knowledge for teaching pi appear and are strengthened in the process of developing digital-based teaching and learning materials of pi, and to derive implications for pre-service teacher education. To this end, the researchers analyzed the process of two pre-service teachers developing exploratory activity materials for teaching pi using block coding of AlgeoMath program. Through the analysis results, it was confirmed that AlgeoMath' block coding activities provided an experience of expressing and expanding the digital capabilities of pre-service teachers, an opportunity to deepen the content knowledge of pi, and to recognize the problems and limitations of the digital learning environment. It was also suggested that the development of digital materials using block coding needs to be used to strengthen digital capabilities of pre-service teachers, and that the curriculum knowledge needs to be emphasized as knowledge necessary for the development of digital teaching and learning materials in pre-service teacher education.

• The Mathematical Education
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• v.59 no.2
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• pp.131-146
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• 2020

Regarding the formula for measuring the area of a circle, the Archimedes' constant is generally written in front of the square of radius length, but there were a few cases where the Archimedes' constant was written after that in Germany and France. In this study, two things are studied: First, how many students are writing the Archimedes' constant after that? Second, what do the students think about the written order of characters in the formula for measuring the area of a circle? In the online survey of 201 people aged 14 to 21 in Korea, there was a perception of more than 86% that both are possible or only after that are possible. In this study, it is suggested that there is a difference between the general written order of characters and the natural perception of students formed through school education. In addition, students aged 14 to 16 thought more that the Archimedes' constant should be written after that, and after that age, there was a greater perception that both are possible without confusion of meaning. It can be seen that the change in students' perception has emerged through school education on natural mathematical written order of characters after middle school courses. From this point of view, the most common perception can be that if there is no confusion in meaning, then both expressions are possible.

• Proceedings of the Korea Information Processing Society Conference
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• 2023.11a
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• pp.27-29
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• 2023

폰노이만 구조를 따르는 기존의 컴퓨터 시스템은 프로세서와 메모리의 역할이 구분되어 있으며 프로세서는 메모리에 저장된 명령어와 데이터를 불러와 실행한다. 이 과정에서 메모리와 프로세서 간에 발생하는 데이터 이동은 메모리 집약적인 응용을 처리하는데 있어서 심각한 오버헤드를 야기할수 있다. PIM(Processing-In-Memory)은 데이터 이동 병목을 해결하기 위해서 메모리에 프로세서의 능력을 통합하는 기술로서 최근의 메모리 기술의 발전으로 주목받고 있다. 본 논문에서는 UPMEM사의 상용 PIM 제품을 기반으로 몬테카를로 방법을 이용한 원주율 추정을 구현하고 성능 확장성을 분석하였다.

• Venture DIGEST
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• s.119
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• pp.44-45
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• 2008

참으로 다양한 것들이 존재 하는 나라. 아시아 속에서 또 하나의 독특한 문화를 가진 독립적인 대륙, 인도. 11억 인구의 거대 시장과 풍부한 자원을 보유한 인도는 엄청난 성장 잠재력을 보유한 나라로 손꼽힌다. 0의 개념, 십진법, 원주율, 피타고라스 정리, 지구의 태양 공전 주기, 체스까지 흥미로운 세계 최초를 만들어낸 기초학문의 강국 인도는 이제 선택이 아닌 필수교류 국가로 우리 앞으로 달려오고있다.