• Proceedings of the Korea Society of Mathematical Education Conference
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• 2007.06a
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• pp.7-19
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• 2007

During the past 20 years, a small but potentially powerful initiative has established itself in the mathematics education landscape: Mathematics Across the Curriculum (MAC). This curricular reform movement was designed to address a serious problem: Not only are students unable to demonstrate understanding of mathematical ideas and their applications, but also they harbor misconceptions about the meaning and purpose of mathematics. This paper chronicles the brief history of the MaC movement. The sections of the paper correspond loosely tn the typical steps one might take to solve a mathematics problem. The Problem Takes Shape presents a discussion of the social and economic forces that led to the need for increased articulation between mathematics and other fields in the American educational system. Understanding the Problem presents the potential value of exploiting these connections throughout the curriculum and the obstacles such action might encounter. Devising a Plan provides an overview of the support systems provided to early MAC initiatives by government and professional organizations. Implementing the Plan contains a brief description of early collegiate programs, their approaches and their differences. Extending the Solution details the adoption of MAC principles to the K-12 sector and throughout the world. The paper concludes with Retrospective, a brief discussion of lessons learned and possible next steps.

• Research in Mathematical Education
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• v.7 no.2
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• pp.73-90
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• 2003

In the Republic of Korea, mathematics has always been a major blame for huge private expenditures on so-called "private education," which consists of private tutoring and lessons at "private academies of extra curricula." The private spending on out-of-school education often exceeded public expenditures on schools. In 1997, South Korean Ministry of Education reformed curriculum of mathematics along with other subjects to ease the burden of private education. The aim of this curriculum change was to put a boost on individual students' interests, affections and other attributes toward school mathematics. The essential distinctiveness of the new curriculum of mathematics compared with the previous one is as follows: 1. The implementation of so-called "differentiated curriculum" for grades 1-10. 2. 30% reduction of contents in mathematics and the reconciliation of contents. 3. Elective subjects for mathematics for grades 11 and 12. 4. More uses of technology in mathematics teaching. Firstly, we examine the background of the curriculum reform and analyze the new curriculum according to awareness of educational administrators, teaching environments of schools and readiness of mathematics teachers. Then we find out what kinds of problems it has and look for some suggestions for remedies.

• Research in Mathematical Education
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• v.5 no.1
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• pp.25-44
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• 2001

The purposes of this paper are to understand the functions of technology TI92 graphing calculator and to develop some typical examples showing that current Korean secondary school mathematics curriculum can be treated with the technology. This study is consisted with five chapters. In Chapter 1, the background and purposes for this study is described. In Chapter 2, the textbooks developed by Core-plus Mathematics Project to reform mathematics education in the United states are analyzed to find the possibilities for practical uses in mathematics classrooms. In Chapter 3, the functions of TI-92 are analyzed with regard to how they can be applied to mathematics education. In Chapter 4, some examples are developed to show that TI-92 can be used for Korean secondary school mathematics education. Chapter 5 is consisted with summaries of this study and some suggestions for further study.

• Research in Mathematical Education
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• v.8 no.4
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• pp.293-307
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• 2004

Psychological and social theories have influenced on making sense of teaching and learning of mathematics. This paper analyzes major influences of such theories - behaviorism cognitivism, and situativity - on mathematics education. Instead of reviewing the theories perse, it intends to explicate how different perspectives have shaped our understanding of mathematics education both in theory and in practice. Given that the current mathematics education reform ideas are theoretically based on the constructivist and the sociocultural perspectives, the main focus is given on cognitivism, situativity, and various coordinations between the two. Exploring about psychological and social theories in the context of mathematics education is expected to enrich our understanding of where we have come from and where we are going.

• Research in Mathematical Education
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• v.2 no.1
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• pp.5-12
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• 1998

The COM curriculum provides first a core of mathematics for all students, and then offers opportunities for students to enter different streams of mathematics studies. The flexible curriculum (COM) is certainly welcome as it focuses on a transition from concrete to conceptual mathematics and on sequentially learning the power of mathematical language and symbols from simple to complex. This approach emphasizes the use of computers in mathematics education in the upper secondary grades. In Mathematics A, one unit is developed to computer operation, flow charts and programming, and computation using the computer. In mathematics B, a chapter addresses algorithms and the computer where students learn the functions of computers, as well as programs of various algorithms. Mathematics C allots a chapter for numerical computation in which approximating solutions for equations, numerical integration, mensuration by parts, and approximation of integrals. But, unfortunately, they do not have any plan for the cooperation study.

• Communications of Mathematical Education
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• v.12
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• pp.363-376
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• 2001

To educate students to adjust and lead their future society oriented on technologies and information communications, most of the countries in the world try to reform their traditional mathematics education. Contemporary Mathematics in Context (CMIC) developed by Core-Plus Mathematics Project in WMU has been developed in order to assist school districts in reforming their high schools mathematics programs in the United States, and $7^{th}$ Korean National Mathematics Curriculum was developed to guide reforming Korean mathematics program in 1997. In this presentation, by analyzing essential differences between the two curricula according to Korean Mathematics Curriculum, we may find some implications of CMIC for Korean mathematics education.

• Journal of Educational Research in Mathematics
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• v.11 no.1
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• pp.11-35
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• 2001

Many teachers report familiarity with and adherence to reform ideas, but their actual teaching practices do not reflect a deep understanding of reform. Given the challenges in implementing reform, this study intended to explore the breakdown that may occur between teachers' adoption of reform objectives and their successful incorporation of reform ideals. To this end, this study compared and contrasted the classroom social norms and sociomathematical norms of two United States second-grade teachers who aspired to implement reform. This study is an exploratory, qualitative, comparative case study. This study uses the grounded theory methodology based on the constant comparative analysis for which the primary data sources were classroom video recordings and transcripts. The two classrooms established similar social norms including an open and permissive learning environment, stressing group cooperation, employing enjoyable activity formats for students, and orchestrating individual or small group session followed by whole group discussion. Despite these similar social participation structures, the two classes were remarkably different in terms of sociomathematical norms. In one class, the students were involved in mathematical processes by which being accurate or automatic was evaluated as a more important contribution to the classroom community than being insightful or creative. In the other class, the students were continually engaged in significant mathematical processes by which they could develop an appreciation of characteristically mathematical ways of thinking, communi-eating, arguing, proving, and valuing. It was apparent from this study that sociomathematical norms are an important construct reflecting the quality of students' mathematical engagement and anticipating their conceptual learning opportunities. A re-theorization of sociomathematical norms was offered so as to highlight the importance of this construct in the analysis of reform-oriented classrooms.

• Research in Mathematical Education
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• v.1 no.1
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• pp.43-59
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• 1997

Now in Korea, the 7th curriculum reform is underway. The main difference of the seventh curriculum compared with former curricula is that it puts much emphasis on individual difference. It is a "differentiated" curriculum. The basic directions of the 7th mathematics curriculum are as follows: 1. Offer various mathematical subjects for "Selective Educational Period" (Grades 11 and 12). 2. 30% reduction of mathematical contents. 3. The reconciliation of domain names of school mathematics. 4. The use of computers and calculators in mathematics classrooms.

• The Mathematical Education
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• v.39 no.1
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• pp.49-58
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• 2000

The purpose of this study is to investigate how to teach algorithms in mathematics class. Until recently, traditional school mathematics was primarily treated as drill and practice or memorizing of algorithmic skills. In an attempt to shift the focus and energies of mathematics teachers toward problem solving, conceptual understanding and the development of number sense, the recent reform recommendations do-emphasize algorithmic skills, in particular, paper-pencil algorithms. But the development of algorithmic thinking provides the foundation for student's mathematical power and confidence in their ability to do mathematics. Hence, for learning algorithms meaningfully, they should be taught with problem solving and conceptual understanding.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.509-526
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• 1998

school mathematics is based on the premise that teacher have extensively complex mathematics content and pedagogical content knowledge to employ teaching to facilitate students' conceptualization of mathematics knowledge. In this paper we have presented the realities of teacher education program about several countries and three source area in teaching school mathematics. As a result we suggest that for developing mathematics teacher education First, communities have to hold teachers in high esteem due to confucian heritage. Second, our university have t provide one year internship for training for practices and the use of interactive multimedia simulation. Third, college courses have to help students discard misunderstanding knowledge and briefs about mathematics and pedagogy they bring to the university. Fourth, our country have to reform teacher education system. Fifth, the government have to pay the tuition costs for more students.