• School Mathematics
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• v.7 no.3
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• pp.237-252
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• 2005

This study aims to present a model of mathematics classroom for gifted students by applying the social constructivism. An important function of good materials is promoting students' conjectures and discussions actively, and the model is appropriate to these kinds of materials. This model includes four stages, i. e. forming the subjective knowledge, objectifying, forming the objective knowledge, individual re-forming. And the four stages form a cycle working continuously on more progressive materials. This study presents an example of the classroom for fifteen students of grade 6 on the properties of multiples. Students performed so active investigations, and structured the con-tents learned effectively.

• Communications of Mathematical Education
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• v.28 no.3
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• pp.395-422
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• 2014

In this paper, we obtain the step inteaching high school leve-based class utilizing cooperative learning lessons using level-type tutoring to improve academic achievement and mathematics attitudes. The details are as follows. First, we develop the teaching and learning model for the level-type instructional development and for the application to project work. Second, we seek to height academic achievement by applying the level-type work sheets in conjunction with cooperative learning. For this problem, we will focus on the following issues. First, how will you using level-type tutoring level TAI cooperative learning in order to improve academic achievement and develop the learning ability in mathematics? Second, how can you step utilizing TAI instructional level of cooperative learning in mathematics classes to improve mathematics learning attitudes? Third, how will you some reaction step work sheets utilizing level TAI cooperative learning of students for mathematics. Results of this study are as follows. First, in the experimental group compared to the comparison group was improved academic achievement. Second, in the experimental group compared to the comparison group learning attitudes could help. Third, the level of cooperative learning instructional model utilizing the TAI in the experimental group compared to the comparison group represents a significant response was seen.

• East Asian mathematical journal
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• v.25 no.3
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• pp.379-397
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• 2009

In this paper we apply to Renzulli's Teaching and Learning models for mathematically gifted students based on the gifted science education center in university. Gifted students were very positive reaction in solving problems creatively using this program, and they were challenging and very confident performing new tasks. They reacted variously in debates with their classmates, in self-initiative studying. So more positive changes are needed for the activities using the gifted learning-teaching program to let each student have full use of his or her possibility and potential.

• The Mathematical Education
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• v.63 no.1
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• pp.19-33
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• 2024

This study investigates longitudinal patterns in middle school students' mathematics interest and achievement using panel data from the 4th to 6th year of the Gyeonggi Education Panel Study. Results from the multivariate growth mixture model confirmed the existence of heterogeneous characteristics in the longitudinal trajectory of students' mathematics interest and achievement. Students were classified into four latent classes: a low-level class with weak interest and achievement, a high-level class with strong interest and achievement, a middlelevel-increasing class where interest and achievement rise with grade, and a middle-level-decreasing class where interest and achievement decline with grade. Each class exhibited distinct patterns in the change of interest and achievement. Moreover, an examination of the correlation between intercepts and slopes in the multivariate growth mixture model reveals a positive association between interest and achievement with respect to their initial values and growth rates. We further explore predictive variables influencing latent class assignment. The results indicated that students' educational ambition and time spent on private education positively affect mathematics interest and achievement, and the influence of prior learning varies based on its intensity. The perceived instruction method significantly impacts latent class assignment: teacher-centered instruction increases the likelihood of belonging to higher-level classes, while learner-centered instruction increases the likelihood of belonging to lower-level classes. This study has significant implications as it presents a new method for analyzing the longitudinal patterns of students' characteristics in mathematics education through the application of the multivariate growth mixture model.

• School Mathematics
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• v.1 no.2
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• pp.529-545
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• 1999

The purpose of the study is to introduce a model for learning-teaching mathematics using graphing calculator. This study consists of four main chapters. In chapter III, there are some Teaching Procedures and reports. Graphing calculator was used as a tool in understanding mathematical concepts and solving given problems. Also there is an example of performance assessment on second-grade students in high school. This study left much to be desired and has to be followed by a continuing study to make it better.

• Journal of the Korea Society of Computer and Information
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• v.17 no.4
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• pp.19-29
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• 2012

According to the result of PISA and TIMSS, it was reported that interest for Math and Science was far lower compared to high achievement of Them. The purpose of this study is to investigate effects of robot based STEAM education on elementary school students' Math learning behavior and Science motivation. Robot based STEAM education integrated science, mathematics and art with a theme of 'Energy' was practiced for test group and For control group, those three subjects were taught separately in order to achieve this purpose. Curriculum of fourth grade second semester's science, mathematics and art was analysed to teach a robot based STEAM class and STEAM class Model with the theme 'Energy was designed and applied to elementary students. In science class, heat transfer experiment was conducted with robots and the result was related to drawing polygonal lines in mathematics. In art class, robot components were used to describe the heat energy in shapes and colors. The research shows that students' Math learning behavior and Science motivation were improved more with robot based STEAM education than with traditional lessons(p<.05). It proves that robot based STEAM class can be effective for improving interest in elementary Math and Science.

• Proceedings of the Korean Information Science Society Conference
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• 2003.04a
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• pp.833-835
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• 2003

지식 기반 사회를 바탕으로 한 정보화 시대인 21C에, 특히 초고속 통신망의 실현으로 인터넷을 누구나 쉽게 접근하여 사용할 수 있게 됨으로써 우리 수학교육도 적극적으로 컴퓨터를 이용한 Web상에서의 실시간 교육의 도입을 필요로 하게 되었다. 이에 따라서 사이버 공간을 통한 교육이 부각되고 있으며 학습자를 대상으로 한 다양한 수업모형의 개발이 활발하게 진행되고 있다. 그러나 현재 대부분의 웹상의 수업모형들은 학습자가 접근하기가 어렵다거나 단순히 내용을 나열하는데 그쳐 학습자의 능동적인 참여의 유도에는 많은 문제점이 있음을 알 수가 있었다. 이에 본 연구는 다른 과목과는 달리 대부분이 추상적인 지식체계로 구성된 고등학교 수학교과 중에서 학습자가 다소 어렵게 생각하는 여러 가지 대수함수의 그래프를 FlashMX의 액션 스크립트를 이용하여 시각화함으로써 Web상에서 학생 스스로가 언제 어디서나 원하는 함수들을 직접 설정하여 즉시 역동적으로 변화가 가능한 그래프를 그려보고 확인함으로써 보다 정확한 이해를 도울 수 있도록 하였다.

• Communications of Mathematical Education
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• v.22 no.3
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• pp.349-368
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• 2008

The purpose of this study was to investigate the small-group instruction of mathematics in elementary schools. For this, a sample of 742 teachers of elementary schools completed the survey. As a result, about 27.8% of the teachers reported using small group instruction while they worked with one group or they assigned to other groups worked alone. Only 2% of the teachers reported using small group in which students were encouraged to participated cooperatively. This study discusses the five issues about small group instruction in elementary school. The five issues were investigated in this survey. First, major teaching method in mathematics classroom and using of small group instruction were described. Second, frequency and period of small-group instruction were reported. Third, grouping method in small-group instruction was described. And Fourth, effect grouping practices of small-group instruction were described. Fifth, the model of small group instruction and assessment in small-group instruction were reported.

• School Mathematics
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• v.16 no.1
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• pp.57-81
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• 2014

This study was to investigate how the underachievers of mathematics in a non-leveling excellent high school would overcome the errors through the lessons based on the inductive thinking model in the equation of a circle. The results showed that when there were many stages to solve the problem, the students gave it up or forgot the stage they reached. In this case, if they had a revisit-opportunity to review their thinking process by planning ahead the stage to solve the problem and recording it, the omission error of the solving process and the error of wrong conclusions would be dramatically decreased. Moreover, they understood the mathematical concept, principle, and formula and remembered the learning contents extremely well through thinking by themselves in exploration-based activities and by using visualization for the problem and could solve the problem through these pictures besides algebraic expressions.

• School Mathematics
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• v.13 no.1
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• pp.65-88
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• 2011

Epistemological development process of the Fundamental Theorem of Calculus is considered in a history of mathematical notions and the genetic process of the Fundamental Theorem is arranged by the order of geometric, algebraic and formalization steps. Based on this, we studied students' episte- mological obstacles and error and analyzed the content of textbooks related the Fundamental Theorem of Calculus. Then, We developed the "Folding Back Model" of the fundamental theorem of calculus for students to lead meaningful faithfully. The Folding Back Model consists of "the Framework of thou- ght"(figure V-1) and "the Model of genetic understanding of concept"(figure V-2). The framework of thought in the Folding Back Model is included steps of pedagogical intervention which is used "the Monitoring working questions"(table V-3) by the mathematics teacher. The Folding Back Model is applied the Pirie-Kieren Theory(1991), history of mathematical notions and students' epistemological obstacles to practical use of instructional design. The Folding Back Model will contribute the professional development of mathematics teachers and improvement of thinking skills of students when they learn the Fundamental Theorem of Calculus.