• Communications of Mathematical Education
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• v.27 no.3
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• pp.205-220
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• 2013

In this research, in order to investigate the principles for the development of mathematics textbook for decision-making based on storytelling, we conceptualized the educational meaning of decision-making and specified the principles and the methods for the textbook based on decision-making. We illustrated the principles and the methods by the cases from the model textbook for the conditional probability that we have developed. We discussed the implication for the future development and implementation of mathematics textbook for decision-making based on storytelling.

• Communications of Mathematical Education
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• v.16
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• pp.163-164
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• 2003

최근 수학교육에서는 네덜란드의 수학교육이론인 현실적 수학교육(Realistic Mathematics Education: 이하 RME) 이론에 대한 관심이 증대되고 있다. RME 이론의 관점에서 학생들은 만들어져 있는 수학을 수용하는 사람이 아니라 스스로 모든 종류의 수학적 도구와 통찰을 개발하는 활동적 참여자로서 다루어져야 한다. 따라서 수학 학습은 수학화될 수 있는 풍부한 맥락으로부터 시작해야하며, 이러한 수학화를 실제(reality)에 둘 수 있도록 기여할 수 있는 교재로 시작해야 한다. 최근 발간된 'Mathematics In Context(이하 MIC)'는 RME 이론을 반영한 중등학교용 교과서로 맥락 문제가 그 중심이 되고 있으므로 RME 이론의 구체화된 실제를 볼 수 있는 예가 될 수 있다. 지금까지 Freudenthal의 교육철학을 소개하는 문헌 연구를 비롯하여 RME 이론을 기반으로 하는 교수 학습의 효과 분석에 관한 연구가 초등학교를 중심으로 이루어지고 있으나 중등학교 이상의 수준에서 수행된 RME 관련 연구가 부족한 실정이다. 이에 본 연구는 RME 이론이 중등학교 이상에서 수행되는 예를 찾기 위해 MIC 대수 교과서 중 'Comparing Quantities(Kindt, Abels, Meyer, & Pligge, 1998)'를 중심으로 Treffers(1991)의 다섯 가지 교수 학습 원리(구성하기와 구체화하기, 여러 가지 수준과 모델, 반성과 특별한 과제, 사회적 맥락과 상호작용, 구조화와 연결성)가 어떻게 구현되고 있는지 살펴보고자 한다. RME의 수학 학습 이론은 학생들이 맥락과 모델을 사용하면서 다양한 수준의 수학화를 통해서 자신의 수학을 개발할 수 있도록 하는 것이다. MIC 교과서는 맥락 문제와 여러 가지 해결 전략을 제시함으로써 그러한 수학 수업을 할 수 있도록 안내하는 교재가 될 수 있다.

• School Mathematics
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• v.14 no.3
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• pp.315-330
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• 2012

Mathematics educators have tried to teach mathematics to all students who are at any mathematical level by differentiated math instruction from late 1990s in Korea. The common differentiated math instruction separates students into two or three groups according to their mathematical ability and then different activities and tasks are given to each group. This kind of instruction fosters negative attitudes to mathematics to low level students and fix them at low level. So I investigated new mathematics instruction considering able students and low attainers at the same time. This new method is based on using open problems in math class. All students can respond to an open problem in different ways. If teachers could relate all varieties of answers got from students at every level to build good understanding the concept which the problem target at, low attainers could move to their potential developmental levels. This kind of instruction can change low math attainers' negative attitudes to good ones to mathematics and foster their confidence in performing mathematics.

• Communications of Mathematical Education
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• v.31 no.4
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• pp.389-407
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• 2017

Many researches related to STEAM education have been actively conducted for developing elementary and secondary school students' comprehensive and logical thinking ability in relation to creativity education in Korea. Each sub factor of STEAM education requires creative thinking with the ability to be merged together to solve problems as integrated or combined forms in the fields of Science, Technology, Engineering, Arts, and Mathematics. Also, these STEAM activities and experiences should be carried out at various places outside the classroom in school. Although various educational programs to enhance mathematical creativity have been emphasized for elementary and secondary school students, recent tendency to focus on classroom learning in the school makes it difficult to develop creative thinking ability of students. This research is mainly based on the result of the project "Development and Administration of STEAM Outreach Program in 2016" supported by KOFAC(Korea Foundation for the Achievement of Science & Creativity). The purpose of this research is to develop a STEAM outreach program including students' activity books, teachers' manuals and administration manual that can maximize STEAM-related interest of students, and to provide a chance for elementary and secondary school students to experience creative thinking based on sub factors of STEAM. The STEAM competency total score and the perception of convergence education were significantly increased for all students participating this program, but some sub factors showed different result by school levels. The STEAM outreach program developed by this study is designed to emphasize STEAM education especially 'based on' mathematics in order to provide students with the opportunity to experience more interest in the field of mathematics and will be able to provide an interesting creative STEAM outreach program that utilizes a variety of activities which, we expect, would help students to consider their career in the future.

• Proceedings of the Korean Information Science Society Conference
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• 1999.10c
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• pp.593-595
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• 1999

고가용성 시스템의 소프트웨어 재활 기법은 시스템의 결함 발생 이후에 수동적으로 대처하기보다는 결함이 발생하기 전에 이를 미연에 방지하는 능동적 차원의 결함 허용 방법이다. 본 연구에서는 서버에서 수행되는 소프트웨어의 재활 주기, 재활 소요시간, 서버의 고장률, 수리률, 동시에 가동되는 서버의 수, 서버의 가동 기간 및 가동 방식등의 시스템 운영 파라미터에 기초하여, 소프트웨어 재활 정책에 대한 평가를 위한 평형상태에서의 확률, downtime, 가용도, 손실 비용 등을 계산하였다. 수학적 분석을 통해 구한 재활 모델의 closed-form 해는 다양한 시스템 운영 상태에 대한 실험을 통해 검증하였으며, 소프트웨어 재활을 통한 재활 모델의 closed-form 해는 다양한 시스템 운영 상태에 대한 실험을 통해 검증하였으며, 소프트웨어 재활을 통한 예방적 결함허용 기법의 적용 가능성이 높다는 것을 확인하였다. 또한 서버의 고장률 및 불안정률이 소프트웨어 재활 정책결정에 중요한 요소임을 파악하였다.

• School Mathematics
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• v.18 no.3
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• pp.647-666
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• 2016

This study investigates pre-service teacher's understanding of the concept and representations of irrational numbers. We classified the representations of irrational numbers into six categories; non-fraction, decimal, symbolic, geometric, point on a number line, approximation representation. The results of this study are as follows. First, pre-service teachers couldn't relate non-fractional definition and incommensurability of irrational numbers. Secondly, we observed the centralization tendency on symbolic representation and the little attention to other representations. Thirdly, pre-service teachers had more difficulty moving between symbolic representation and point on a number line representation of ${\pi}$ than that of $\sqrt{5}$ We suggested the concept of irrational numbers should be learned in relation to various representations of irrational numbers.

• School Mathematics
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• v.18 no.3
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• pp.527-539
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• 2016

A word 'is' in "A parallelogram is trapezoid." is ambiguous and very rich when it comes to its meaning. In this paper, 'is' as in everyday language will be identified as semantic primes that can be interpreted in different ways depending on context and situation, and meanings of 'is' in mathematics will be discussed separately. Focusing on 'identity', 'is' will be reinterpreted in the view of equivalence relation and van Hieles' work. 'Is', as a mathematical sign, is thought to have a significant importance in producing mathematical ideas meaningfully.

• Journal of the Korean School Mathematics Society
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• v.24 no.3
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• pp.261-282
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• 2021

This study identified the meaning of mathematical justification and its characteristics for middle school math gifted students. 17 middle school math gifted students participated in questionnaires and written exams. Results show that the gifted students recognized justification in various meanings such as proof, systematization, discovery, intellectual challenge of mathematical justification, and the preference for deductive justification. As a result of justification exams, there was a difference in algebra and geometry. While there were many deductive justifications in both algebra and geometry questionnaires, the difference exists in empirical justifications: there were many empirical justifications in algebra, but there were few in geometry questions. When deductive justification was completed, the students showed satisfaction with their own justification. However, they showed dissatisfaction when they could not deductively justify the generality of the proposition using mathematical symbols. From the results of the study, it was found that justification education that can improve algebraic translation ability is necessary so that gifted students can realize the limitations and usefulness of empirical reasoning and make deductive justification.

• The Mathematical Education
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• v.63 no.2
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• pp.335-350
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• 2024

This study explored the factors that influence elementary school teachers' intention to use an artificial intelligence (AI) math learning system and analyzed the interactions and relationships among these factors. Based on the technology acceptance model, perceived usefulness for math learning, perceived ease of use of AI, and attitude toward using AI were analyzed as the main variables. Data collected from a survey of 215 elementary school teachers was used to analyze the relationships between the variables using structural equation modeling. The results of the study showed that perceived usefulness for math learning and perceived ease of use of AI significantly influenced teachers' positive attitudes toward AI math learning systems, and positive attitudes significantly influenced their intention to use AI. These results suggest that it is important to positively change teachers' perceptions of the effectiveness of using AI technology in mathematics instruction and their attitudes toward AI technology in order to effectively adopt and utilize AI-based mathematics education tools in the future.

• Education of Primary School Mathematics
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• v.21 no.1
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• pp.19-37
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• 2018

The purpose of this study was to analyze the multicultural mathematics education factor shown in mathematics textbook. For this purpose, 2015 revised curriculum, mathematics textbook and teacher's guide book of first and second grade were analyzed using framework for multicultural mathematics education factor. The results of this study revealed that the general guideline of the national curriculum included 'culture identity', 'diversity of knowledge' and 'social problem solving' but the curriculum of mathematics excluded 'culture identity'. Nevertheless, mathematics textbook showed various multicultural mathematics education factor except 'social problem solving'. But there are several kinds of problem. Fist, application level of multicultural mathematics education factor was mostly low. Second, history of mathematics and culture aspects were Europocentric. Thirds, characters in mathematics text book were excessively standard. there weren't other ethnicity, the disabled, multicultural students. On the basis of these results, this paper includes several implications for the future multicultural mathematics education in elementary school.