• Journal of Educational Research in Mathematics
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• v.25 no.2
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• pp.207-223
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• 2015

This study aims to find ways for securing continuity of elementary mathematics curriculum and kindergarten curriculum. To do this, we considered the status of 'mathematical exploration' in Nuri curriculum and analysed the correspondence of content-domains and the continuity between Nuri curriculum for ages three to five and 2009 revised national elementary mathematics curriculum, based on the reconstructed achievement criteria. The result of these analyses reveals that the classification of five content-domains both for 'mathematical exploration' of Nuri curriculum and for 2009 revised national elementary mathematics curriculum coincides. We also recognized the reconstructed achievement criteria which are considered as reverse continuity or as discontinuity of Nuri curriculum and 2009 revised national elementary mathematics curriculum in all the five content domains. The former means being lower in levels or reduction in ranges from Nuri curriculum to elementary one. The latter means that some reconstructed achievement criteria are included in only one of the two curriculum. Based on these results, we suggested several ways to secure the continuity between Nuri curriculum and 2009 revised national elementary mathematics curriculum in the perspective of mathematics education.

• Communications of Mathematical Education
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• v.18 no.3 s.20
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• pp.45-56
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• 2004

본고는 수학적 창의성과 관련한 논문으로 이를 창의적인 사람, 창의적인 산출물, 창의적인 과정이란 일반 창의성 연구자들이 연구하고 있는 분야로부터 유추적으로 논의를 시도하였다. 이런 접근으로부터, 얻을 수 있는 몇 가지 가정들은 다음과 같은 것이 있다. 첫 번째, 일반 보통아들을 대상으로 하는 공교육에서도 창의성 교육을 할 수 있으며, 이는 수학교과에도 적합한 진술이다. 두 번째, 현상학적 입장으로 부터 학교에서 교수${\cdot}$ 학습되고 있는 학교수학이 학생들 입장에서 보면 학습해야 할 필요가 있는 적절하고 새로운 지식이란 점을 공고히 해 주었다. 또한, 여기서 강조한 것은 새롭고 적절한 지식이 완성된 지식뿐만 아니라 발생상태 그대로의 지식 즉, 과정으로서의 지식도 포함하고 있음을 제안하였다. 세 번째, 수학자가 수학을 탐구하는 과정을 창의성 연구자들이 보듯이 인지과정으로 보는 대신에 한 수학적 아이디어를 이로부터 하나의 완성된 수학적 지식을 완성하기까지의 수학적 사고과정으로 보는 것이 수학교육적 의미에서 교수${\cdot}$ 학습에 의미가 있음을 살펴보았다.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.2
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• pp.159-178
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• 2015

This study discusses on aims for affective development in national curriculum of mathematics. Firstly, affective characteristics of school mathematics studied in Korea are investigated. Secondly, aims for affective development in the Korean national curriculum of mathematics from the 1st curriculum to the current one are inspected. Thirdly, aims for affective development in national curriculum of Hong Kong, Singapore and Finland are researched. From the result, suggestions on the statement about aims for affective development are proposed.

• School Mathematics
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• v.17 no.2
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• pp.257-272
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• 2015

This study is related to reinforcement of the continuity between Nuri curriculum and elementary mathematics curriculum emphasized by 2015 revised national curriculum. Considering that teachers tend to rely much more on textbooks than on curriculum, we analyzed the continuity between math-related activities of Nuri manuals for teachers and the elementary mathematics textbooks and aimed to suggest several ways for securing the continuity based on the result of analyses. To do this, we compared and analyzed Nuri manuals (for ages three to five) for teachers and the first and second grade mathematics textbooks in three aspects: mathematical contents, mathematical terms and symbols, and mathematical processes. We adopted the same analysis framework including continuity, discontinuity and reverse continuity as the study on the continuity between Nuri curriculum and elementary mathematics curriculum. As a result, the results of analyses were revealed in three aspects, respectively. We also discussed the results and suggested some implications for securing the continuity of Nuri manuals for teachers and the elementary mathematics textbooks and for revising curriculum and its materials such as textbooks, workbooks or manuals for teachers.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.4
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• pp.405-425
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• 2018

Increasing the problem solving power in school mathematics is the most important task of mathematics education. It is the ultimate goal of mathematics education to help students develop their thinking and creativity and help solve problems that arise in the real world. In this study, we investigated the contents of problem solving according to mathematics curriculum goals from the first curriculum to current curriculum in Korea. This study analyzed the problem-solving contents of the mathematics textbooks reflecting the achievement criteria of the revised curriculum in 2015. As a result, it was the first curriculum to use the terminology of problem solving in the mathematics goal of Korea's curriculum. Interest in problem solving was most actively pursued in the 6th and 7th curriculum and the 2006 revision curriculum. After that, it was neglected to be reflected in textbooks since the 2009 revision curriculum, We have identified the problems of this problem-solving instruction and suggested improvement direction.

• Communications of Mathematical Education
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• v.19 no.2 s.22
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• pp.409-416
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• 2005

여러 대학의 공학전공자를 위한 수학교육의 현황을 살펴보며 '공학 전공자를 위한 대학 수학교육과정'의 구체화의 필요성과 교육과정의 내용 및 교수에 관해 살펴본다.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.105-134
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• 2023

The purpose of this study is to explore which performance verbs are used in the achievement standards of the Korean mathematics curriculum and how to improve them. So, first, we analyzed whether there were differences in the performance verbs included in the 2015 revised mathematics curriculum achievement standards by school level. In addition, it was analyzed whether there were differences in the performance verbs included in the mathematics curriculum in Korea and foreign countries. As a result of the analysis, both the frequency and the type of performance verbs included in the achievement standards of the Korean mathematics curriculum decreased as the school level increased. Also, performative verbs such as 'understand' and 'know' were excessively used. Similar tendencies were seen in foreign mathematics curricula, but the frequency and the type of performance verbs were higher than those in Korea, and various performance verbs were used. As a result of the study, it is suggested that performance verbs included in achievement standards need to be improved to improve middle and high school mathematics classes.

• Journal of Educational Research in Mathematics
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• v.14 no.2
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• pp.157-170
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• 2004

This study, in the view of the particulars on mathematics, tried to criticize the way how they have reformed mathematics curriculums, which moreover have been executed without any official investigation of the ways up to the recent curriculum. On the basis of these critics, this study suggested a few desirable ideas about how to reform the mathematics curriculum which were investigated from a mathematics educational standpoint. For this purpose this study was executed as followings : first, there has been reflective investigations about the existing ways of reforming mathematics curriculums ; second, there suggested a new way of reforming the mathematics curriculum which we may consider as the way for the future mathematics curriculum reform.

• Journal of Gifted/Talented Education
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• v.25 no.4
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• pp.581-605
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• 2015

The purpose of this study is to build an instruction method focused on the mathematical process and apply it to 12, 5-year-olds from Kindergarten located in Seoul with a view to explore the changes in their mathematical thinking. In addition, surveys with parents and teachers, as well as those conducted in the field of early childhood education, were conducted to analyze the current situation. The effects focused on the five mathematical processes, namely problem solving, reasoning and proof, connecting, representing and communication was found to help the interactions between teacher-child and child-child stimulate the mathematical thinking of the children and induce changes. The mathematical process-focused instruction aimed to advance mathematical thinking internalized mathematical knowledge, presented an integrated problematic situation, and empathized the mathematical process, which enabled the children to solve the problem by working together with peers. As such, the mathematical thinking of the children was integrated and developed within the process of a positive change in the mathematical attitude in which mathematical knowledge is internalized through mathematical process.

• School Mathematics
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• v.19 no.3
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• pp.495-511
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• 2017

The purpose of this study is to research the meaning of core ideas and to compare the core ideas in mathematics curriculum of each country. I derived that the core ideas were approached and presented in curriculums of South Korea, The United States, Canada, Australia, New Zealand, Singapore as several perspectives; the main domains of mathematics contents which should be taught; the basis of the core principles between of mathematical contents; the focuses for teaching and learning in school mathematics. Finally, I discussed the further research direction on the contents of core ideas and the methods of presenting it to teach meaningfully the core mathematical contents to students who will live in the future.