• Journal for History of Mathematics
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• v.23 no.2
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• pp.123-140
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• 2010

In general, early childhood mathematics education is conducted and operated in early childhood education curriculum. Moreover, Korean early childhood education is approached and conducted by an U.S. NCTM. So, it is meaningful to compare American and Korean early childhood mathematics education curriculum. Therefore, I has studied how those points of views of the mathematics education are instituted in the curriculums respectively. The main purpose of this study is to investigate principles of NCTM(National Council of Teacher of Mathematics): content standards and process standards. I hope the finding of this study would reflect to the 7th Korean early childhood mathematics education including learning and curriculum constitution.

• Communications of Mathematical Education
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• v.12
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• pp.1-19
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• 2001

유치원과 초등학교 1학년 아동은 그들의 발달특성과 학습의 효율성 측면을 고려할 때, 일상생활 경험과 놀이 활동 등을 이용한 활동중심 교육방법으로 상호 연계성있게 수학을 학습하는 것이 바람직하다. 이러한 필요성에서, 본 연구는 현행 교육과정 상에 제시된 수학교육의 성격과 목표, 내용, 교수방법, 평가 면에서 유치원과 초등학교 1학년 간에 얼마나 연계되어 있는 지를 분석해 보았다. 분석 결과, 유치원과 초등학교 1학년 수학 교육과정 간에는 수학교육의 방향 및 목표, 내용 영역, 교수학습 방법, 평가 면에서 대체로 높은 연계성을 보였다. 그러나 교과 편제나 명칭, 세부적인 내용 구성에서 차이가 있었으므로 이를 해결하기 위한 교육과정 상에서의 연계 실천 방안을 제시해 보았다. 그리고 실제 수학 교육 활동측면에서의 실천 방안으로서 활동중심 교수학습 자료의 개발, 수학 영역 설치를 통한 개별화 교육의 실천, 가정과의 협력 방안 등을 제시해 보았다.

• 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.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.631-655
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• 2015

Children's early mathematics education sets the tone for their later learning of mathematics. So the importance of early mathematics education has been emphasized day by day and there has been growing interest in it. The purpose of this study is to examine the possibility of including standards for kindergarten in mathematics curriculum and to select the specific content knowledge for designing mathematics curriculum focusing on continuity of kindergarten and first grade. To do this, continuity between kindergarten mathematics and the first grade mathematics were examined by investigating the five countries' mathematics curricula which include kindergarten level. Based on the results, the content standards of kindergarten mathematics were constituted in the categories of 'number and operation', 'geometry', 'measurement', 'pattern', and 'data and chance', following the some principles of selection. Finally, the implications for attainment of continuity between kindergarten and elementary mathematics were induced, containing the discussion of the methods for teaching and learning mathematics in the kindergarten level.

• The Mathematical Education
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• v.54 no.2
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• pp.143-165
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• 2015

The purpose of this study is to find out the level relevance of the kindergarten curriculum in terms of the kindergarten and elementary school curriculum articulation. For this purpose, a model was developed to assess the level relevance of the curriculum. Next, the achievement standards of the curriculum were analyzed by using this model. Finally, teachers' guidebooks were analyzed, too. The following results were obtained from the analysis. First, five of the 14 achievement standards are rated as 'relevant', and nine of them were 'irrelevant'. Also, six of the irrelevant achievement standards were rated as 'overlap', two of them were rated as 'retrogression', and one of them was rated as 'gap'. I found a lot of problems with the level relevance in the kindergarten curriculum. As the results to analyze teachers' guidebooks, I found that there were the great frequency difference in the activities of teachers' guidebooks.

• Journal for History of Mathematics
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• v.27 no.3
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• pp.233-253
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• 2014

In this study, the kindergarten teachers and elementary school teachers were surveyed to see the level relevance of the kindergarten and primary school curriculums. As a result, first, the kindergarten curriculum was generally appeared appropriate to the level of kindergarten students. However, in practice, a significant amount of the first grade curriculum were taught in the kindergarten. Second, the variation of mathematical abilities among the begining students was very large, and this variation also affected the students' achievements. Third, both kindergarten teachers and elementary school teachers wished for adjustments of the level of mathematics curriculum.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.2
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• pp.179-203
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• 2015

In this study, connections between the NURI curriculum for 5 years old children and the contents of teacher's manual books according to it and the contents of elementary 1st grade mathematics curriculum and textbooks was analyzed to find the implications that can help to link the two curricula in the development of kindergarten and elementary school mathematics curriculum. The five following implications could be obtained from the analysis. First, it is necessary to connect the contents of the NURI curriculum for 5 years old children which were completed in that curriculum like 'spatial relation'in geometric figure domain and 'data collection'in probability and statistics domain to the contents of the 1st grade curriculum. Second, in the case of the contents not connected between the NURI curriculum for 5 years old children and the contents of elementary 1st grade mathematics curriculum but connected between the NURI curriculum for 5 years old children and the contents of elementary 2nd ~6th grade mathematics curriculum, it is necessary to re-adjust the hierarchy based on one of the curricula. Third, it is necessary to check whether $\ll$K-teacher's manual book$\gg$ obey the NURI curriculum for 5 years old children or not. Fourth, it is necessary to review the related elements of the NURI curriculum for 5 years old children and elementary 2nd ~6th grade mathematics curriculum in [activity] in $\ll$K-teacher's manual book$\gg$. Fifth, it is necessary to handle the mathematics contents explicitly and systematically in [activity] in $\ll$K-teacher's manual book$\gg$.

• Korean Journal of Human Ecology
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• v.18 no.3
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• pp.597-607
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• 2009

The purpose of this study was to investigate the perception of kindergarten teachers about which content should be included in early childhood mathematics education. Then the researcher looked into the findings according to the 2007(7th) national kindergarten curriculum. The results showed that kindergarten teachers perceived the important of balanced content areas of early childhood mathematics education. But the results also showed that kindergarten teachers perceived classification as the most important content areas of early childhood mathematics education. This implicates that the kindergarten teachers revealed somewhat conflicting beliefs about mathematics education. The results also showed that kindergarten teachers did not perceive space and data analysis as the most important content areas of early childhood mathematics education according to the 2007 national kindergarten curriculum The kindergarten teachers also suggested basic and restricted mathematics concepts. The results of this study were discussed related with the problems in early childhood mathematics education, especially the problems in teacher education.

• Research in Mathematical Education
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• v.1 no.2
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• pp.127-137
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• 1997

수세기는 초등 수학교육의 기초로서 보통 유치원 과정 이전부터 시작된다. 그러나, 서수와 기수의 구별된 사용의 중요성은 미국의 "학교 수학의 교과 과정과 평가 기준" (NCTM 1989)에서 뿐만 아니라 학교 교육의 현장에서도 많이 간과되고 있는 실정이다. 일반적으로 사용되는 수직선 (Number line)과 다르게 구조적으로 개발된 Hasse's structured number line을 사용하여 학생들에게 수세기의 의미와 기술을 가르친다면 구체적 경험을 통해 수학적 사고 능력을 키우고 개발하는데 도움이 된다. 만약 Hasse 의 9가지 수준에 따라 다양한 학습 활동을 개발하여 수업 계획을 세워서 학습을 진행한다면 수업은 역동적이며 매우 흥미로워 질 것이다. 학생들은 말로 나타내기(Verbalization)와 상상(Imagination)의 충분한 경험을 바탕으로 정신적 표현(Mental representation)을 개발하여 수세기 기초를 확립하고 나아가 연산을 쉽게 수행할 수 있을 것이다. 여기에 소개된 교구들과 학습 활동들은 초등 수학 교육이 암기 위주의 문답식이 아니며 얼마나 역동적이고 흥미로울 수 있나를 보여준다.

• 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.