• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.557-580
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• 2012

Common Core State Standards for Mathematics(CCSSM) is a blueprint for school mathematics in 2010s of the United States. CCSSM can be divided into two major parts, the standards for mathematical content and the standards for mathematical practice. This study focused on the latter. Mathematical practice comes from the mathematical process in 'Principles and standards for school mathematics(NCTM, 2000)' as well as the mathematical proficiency in 'Adding it up(NRC, 2001)'. It is composed of eight standards which mathematically proficient students are expected to do. From Korean perspective, it can also be comparable with the mathematical process which contains mathematical problem solving, mathematical reasoning, and mathematical communication and was provided by the 2009 revised national curriculum for mathematics in Korea. However, few focused the standards for mathematical practice among the studies related to CCSSM in Korea. Moreover, there is a study that even ignores the existence of the standards for mathematical practice itself. This study aims to understand the standards for mathematical practice through analysing the document of CCSSM and its successive materials for implementing the CCSSM. This understanding will help effective implementation of the mathematical process in Korea.

• Journal of Educational Research in Mathematics
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• v.17 no.4
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• pp.381-393
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• 2007

The study focuses on what to consider and do for the improvement of math education of Korean Universities by comparing freshmen and seniors of department of math education in their beliefs in mathematics and math. education. The major comparing topics in the beliefs are composed of perception of mathematics as a science, learning methods of mathematics, teaching methods of mathematics, and roles and qualifications of math. teachers. The results of the study show that junior students tend to be more positive in their beliefs, especially in math education area than that of mathematics, compared to the freshmen. It implies that how important the role of topics covered in math education during college years is for changing the future teachers' beliefs in math and math education more positively. The supposed influencing contents of the curriculum of math. education are composed of learning reflection method based on problem-based learning, understanding mathematics as originated from the real world, mathematical pedagogy, text analysis, practice in classroom, and understanding various concepts in math. education area.

• Communications of Mathematical Education
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• v.35 no.1
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• pp.75-96
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• 2021

This study aims to drive the implications for the structure of mathematics curriculum documents in Korea, exploring the coherence in the documental structure of the IB DP mathematics curriculum, which is gaining international attention. The documents of the IB DP mathematics curriculum were analyzed based on the coherence of external and internal structures. First, the curriculum was consistently described by subject and topic, presenting the table of contents and structure of the documents in the same format. Second, the descriptions of the curriculum between subjects and within the subjects were consistent through the same composition of the subject and assessment methods, the presentation of big ideas, and 'Guidance, clarification and syllabus links'. Third, in 'Connections', the curriculum documents were described with coherence through linking with other subjects by describing the connection plan with the real-world contexts, other subjects, and the 'Theory of Knowledge' in the IB curriculum. Based on these findings and implications for the concreteness and consistency of the components in mathematics curriculum documents, we propose the coherence between the presentation of subject areas and assessment methods of the revised curriculum, and the implementation of coherence in documental structure through links with other subjects.

• Communications of Mathematical Education
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• v.12
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• pp.233-248
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• 2001

제7차 수학과 교육과정에서는 기술 공학적 교구를 수학-교수 학습에 적극적으로 활용할 것을 권장하고 있다. 본 연구에서는 대표적인 Computer Algebra System인 Maple 6을 고등학교 수학 수업에 활용할 수 있는 영역과 방안에 대하여 알아보고, Maple 6을 활용한 학습 자료를 개발해 봄으로써 7차 교육과정의 고등학교 수학 수업에 활용할 수 있도록 한다.

• Communications of Mathematical Education
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• v.15
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• pp.29-34
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• 2003

물리학, 공학, 경제학, 생물학, 생태학 등의 자연현상, 사회 현상 그리고 심리상황 등과 관련된 내용들의 모델링 과정을 거쳐 나온 미분방정식의 해를 구하고 해의 의미를 파악하는 작업은 바로 우리의 생활의 진면목을 직접 확인하는 것과 같다. 모델링 과정의 효율성은 교사와 학생간의 충분한 수학적 대화속에서 더욱 의미가 커질 것이다. 아울러 학생들에게 미분방정식의 해의 실제적인 의미를 상상하게 하고 그 결과를 발표하게 하는 것과 해를 구하는 과정에 관한 이론의 이해를 돕는 것이 바람직한 학습 지도 방법이 될 것이다. 전 교육과정을 통해 미분방정식의 모델링 과정을 소개하면서 해의 존재성, 해의 유일성, 해법, 해의 의미 등의 학습 및 지도를 학습자 중심으로 운영할 필요가 있다.

• School Mathematics
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• v.13 no.3
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• pp.485-500
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• 2011

The purpose of this study is to investigate how elementary mathematics teachers use and implement a reform-oriented mathematics curriculum material, Everyday Mathematics, and to examine what features the curriculum material has. Eight elementary mathematics teachers in the United States participated in the study. Data sources consist of teacher classroom observation write-ups, interviews, and the curriculum material. The results from the analysis of the curriculum material suggest that 80 percent of the tasks are at the high-level in terms of cognitive demand and 26 percent of tasks are identified as transparent. The results also show that the teachers appeared to adapt the curriculum material and partially take suggestions or activities out of the curriculum material in enacting them in their mathematics classrooms. The analysis of enacted tasks suggests that the levels of cognitive demand were shifted from high-level to low-level; 27 percent of the high-level tasks in the curriculum material were maintained at the high-level as enacted in the mathematics classrooms. The level of cognitive demand shifted in many cases; shifts from high-level to low-level occurred. This contributes to the curriculum material not being transparent to teachers.

• Korean Journal of Comparative Education
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• v.28 no.3
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• pp.333-354
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• 2018

The study aimed to compare and analyze Nuri curriculum and contents for mathematics in Korea and the Common Core State Standards(CCSS) and New Jersey Preschool Standards for mathematics in the United States. With the results as basis, this study intended to provide suggestions and directions for improving Nuri curriculum of mathematics for young children. For the goal of this study, educational goals, categories of contents, and specific contents were reviewed. First, results of this study indicated that Nuri curriculum for mathematics provides comprehensive educational goals that promote problem-solving ability in everyday contexts with composing mathematical knowledge. On the contrary, CCSS and Preschool Standards provide specific educational goals that focus on children's mathematical skills and concepts. Second, the contents of both countries' curriculum concentrate on 'counting and cardinality', 'measurement', and 'spatial and geometric sense.' There are 5 categories of CCSS, 4 categories of Preschool Standards based on CCSS and one category of Nuri curriculum for mathematics. Third, there are the differences between the two countries' curriculum in continuity from kindergarten to first grade and description method for curriculum.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.123-138
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• 2017

It is necessary to examine how operation and management of instruction in school field be affected by the curriculum. This study examines the actual conditions of instruction provided by teachers while expecting to be adjusted the curriculum with respect to the consideration given to individual student needs and regional specialization by focusing on the subject of mathematics. Ultimately, the purpose of this study is to assess and expect how well mathematics instruction would be being conducted in accordance with the goals of the curriculum. Furthermore, while reflecting the experimental result on teachers' opinions of the previous curriculum, this study suggests alternatives and supporting plans so that at the teacher level the curriculum might be successfully implemented.

• Communications of Mathematical Education
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• v.20 no.2 s.26
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• pp.179-205
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• 2006

The 7th curriculum sets a basic direction based on learner centered teaching. To this end, the curriculum puts a focus on activity centered classes using teaching tools. In reality, however, elementary school teachers find using the teaching tools in their classes difficult, although there are various studies going on to improve the practical use of the teaching tools in the classroom. In this paper, we present an effective approach to utilize those prior studies on using the teaching tools in classes for 4th, 5th and 6th graders.

• Communications of Mathematical Education
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• v.31 no.4
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• pp.367-387
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• 2017

The educational environment in the digital age of the 21st century definitely affects teaching and learning methods to be changed. In addition, the perceptions and methods of mathematics education in the digital age have also been changing. This study proposes a university mathematics education model suitable for the digital age, which makes full use of the internet/digital environment and leads the students to participate in the learning processes. We apply the proposed model to Linear Algebra course, and present a concrete method of teaching and learning model including evaluation. This will be the first study on how to organize and operate digital courses in Korea in accordance with the mathematics education in the digital era which is rapidly spreading around the world.