• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.621-634
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• 1998

Emthusiasm about the introduction of computers into mathematics education is widespred. But, the perspectives about the relationship between mathematics education and computer are diverse. The purpose of this study is to examine theoretical background for using computers in mathematics education. In spite of the pedagogical possibilities of computers. only a small minority of mathematics teachers are using computers in mathematics classroom. It is natural to seek this obstacles within theoretical background of the teachers who manage computers, In this study, We discuss the problems in the two sides. First, due to increased computer activity, relationship of mathematics in school with mathematics in society is changing. It is tension between academic mathematics and practical mathematics. School mathematics have to be changed toward stressing practical mathematics. Second problem is the dialectical relationship between the individual and the collective. While maintaining a respect for the individuality of student contributions. We take into account the social dimension of mathematical meaning-making. We discussed theoretical clarification of work collaborative learning. We propose the case study for the roles of computer in collaborative mathematics learning.

• Journal of Educational Research in Mathematics
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• v.15 no.4
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• pp.489-504
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• 2005

In this paper, we design a environment in computers and mathematics education. For this purpose, we study two different points of view about relations between computers and mathematics education. As theoretical background, we also study constructionism and microworld. Next, we introduce functionization as a basic principle for computers and mathematics education. The concept of functionization focuses on the variation of mathematical objects, and it is a basic concept of both mathematics and computer science. We consider the concept of functionization as a paradigm for the research and practice of the computers and mathematics education. We also present the concept of functionization as a principle for designing a computer environment. Finally, we use the concept of functionization to integrate two famous microworlds, LOGO and DGS by introducing such objects as tiles and folding nets. Combining LOGO and DGS, we design a new microworld that can be used under the internet environment. We present tiles and folding nets to introduce how the concept of functionization is used to design a new microworld and to integrate two microworids.

• Research in Mathematical Education
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• v.10 no.4 s.28
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• pp.239-258
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• 2006

This study sought to examine preservice teachers' beliefs about their intent to use computers and Internet resources in mathematics classrooms. Also, web-based instruction on topics in elementary school mathematics was used to foster teachers' confidence and competence in using instructional technology, thereby promoting positive attitudes toward use of computers and Internet resources in the mathematics classroom. The results indicated that students who participated in the web-based instructions exhibited a significantly (p < 0.05) better attitude toward using computers and web-based resources in teaching mathematics than did students in the control group.

• The Mathematical Education
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• v.51 no.4
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• pp.415-427
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• 2012

This study investigated the perception and utilization about computer of beginning secondary mathematics teachers by utilization frequency of computer. To increase utilization frequency of computer in school mathematics, our finding shows that beginning secondary mathematics teachers should have an interest in computer utilization and perceive computers as an important tool for mathematics learning. In addition, they are likely to use more frequently computer under the condition that computers have sufficient class materials and supplement their shortcomings that have derived less usage in math classes. Therefore, future studies have to investigate not only how to develope textbooks and run after-school classes but also how to make creative discretional activities by computer, which makes computers more useful for teacher training. In sum, the results of case studies for computer usability should be released to motivate computer utilization and increase mathematical thinking ability.

• The Mathematical Education
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• v.42 no.2
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• pp.177-191
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• 2003

In this paper, we present the theory of computers and mathematics education based on the concept of microworlds for mathematics education. We lust look back some previous papers published in the journal of the Korea society of mathematical education series A and else where. Then we present the new view points regarding mircroworlds and mathematics curriculems, microworlds and mathematics teaching and teaming, microworld based problem centered teaming, and microworld based diagnostics and debuggings. We use JavaMAL microworld that is designed to make LOGO and dynamic geometry system in one microworld to give some examples to explain the necessary mathematics educational needs fur designing microworlds for mathematics education. The JavaMAL microworld is a web based microworld that is programmed using JAVA, and the user on use script language, menus, keyboard, and mouse interaction to use the environment.

• 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.

• The Mathematical Education
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• v.47 no.1
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• pp.49-59
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• 2008

In this paper, we discuss two representations of a curve. One is a static representation as set of points, the other is a dynamic representation using time parameter. And we suggest needs of designing a computer microword where we can represent a curve both statically and dynamically. We also emphasize the importance of translation activity from a static representation to a dynamic representation. For this purpose, we first consider constructionism and 'computers and mathematics education' as a theoretical backgrounds. We focus the curve of a parabola in this paper since this is common in mathematics curriculum and is related to realistic situation such as throwing ball. And we survey the mathematics curriculum about parabola representation. And we introduce JavaMAL microworld that is integrated microworld between LOGO and DGS. In this microworld, we represent a parabola using a dynamic action, and connect this dynamic parabola action to recursive patterns. Finally, we remake a parabola for a realistic situation using this dynamic representation. And we discuss the educational meaning of dynamic representation and its computer microworld.

• Journal of the Korean School Mathematics Society
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• v.3 no.1
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• pp.101-115
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• 2000

Development of new and highly efficient computer technologies are providing schools and homes with faster and multi-functioning computers, and text-oriented education softwares are now being rapidly replaced by multimedia CAI. There are also increasing needs for computer-literate teachers and more effective CAI materials. The goal of this study is to present effective ways to use computers as teaching aids in mathematics classrooms and how computers affect the students' achievement, interest and attitude in mathematics. Theoretical reviews on learning theories of CAI and multimedia were made before designing teaching plans for mathematics classrooms and the plans were applied to classrooms. The result of this study shows that there is a significant difference in achievement between control group and experimental group, and also indicates that CAI increases the students' interest and attitude in mathematics to a certain extent. Although using computers in classrooms are considered to be more effective in teaching than text-oriented lectures, the number of computers in schools is limited and all the students can not take advantage of individualized drill and practice programs or tutorial programs. One way of various solutions to this problem is developing teaching materials for middle or large sized classes and providing teachers with easy-to-carry notebook computers. And also mathematics teachers should be given more chances to train themselves in developing and using CAI materials.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.367-386
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• 2006

There are two strands for considering tile relationships between education and technology. One is the viewpoint of 'learning from computers' and the other is that of 'learning with computers'. In this paper, we call mathematics education with computers as 'computers and mathematics education' and this computer environments as microworlds. In this paper, we first suggest theoretical backgrounds ai constructionism, mathematization, and computer interaction. These theoretical backgrounds are related to students, school mathematics and computers, relatively As specific strategies to design a microworld, we consider a physical construction, fuctiionization, and internet interaction. Next we survey the different microworlds such as Logo and Dynamic Geometry System(DGS), and reform each microworlds for mathematical level-up of representation. First, we introduce the concept of action letters and its manipulation for representing turtle actions and recursive patterns in turtle microworld. Also we introduce another algebraic representation for representing DGS relation and consider educational moaning in dynamic geometry microworld. We design an integrating microworld between Logo and DGS. First, we design a same command system and we get together in a microworld. Second, these microworlds interact each other and collaborate to construct and manipulate new objects such as tiles and folding nets.

• Research in Mathematical Education
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• v.4 no.2
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• pp.79-93
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• 2000

The purpose of this article is to introduce the gifted education of mathematics in Korea. We first discuss what is going on in Korea for mathematics education for gifted students. The curriculums for the institutes for gifted education are mentioned. Some focus of this article is proposing some teaching materials that are actively utilizing many basic concents of cryptography and super-string theory, along with careful use of calculators and computers. Many of the materials haven been designed with problem-posing approach on through invoking the cognitive conflict.