• School Mathematics
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• v.1 no.1
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• pp.135-156
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• 1999

The purpose of this study is to discuss about the role of the visualization as an effective method of teaching abstracted mathematics, to analyze visual materials in middle and high school mathematics and to suggest various visualized materials for teaching mathematics effectively. Though formal, symbolic and analytical teaching method is a major characteristic of mathematics, the students should be taught to understand through intuition and insight, and formalize the mathematical concepts progressively. Especially the sight is one of the most important basics of cognition for intuition and insight. Therefore, suggesting mathematical contents through the visual method makes the students understand and formalize the mathematical concepts more easily. In this study, we tried to investigate the meaning and role of visualization in mathematics teaching. And, we discussed about the four roles of visualization in the process of mathematics teaching and learning confirmation and memorization of the mathematical truth, proving theorem and solving problems which is one of the most important purposes of teaching mathematics, According to the roles of visualization, we analyzed visual materials currently taught in middle and high school, and suggested various visual materials useful in teaching mathematics. The investigated fields are algebra where visual materials are little used, and geometry where they are use the most. The paper-made-textbook can't show moving animation vigorously. Hence we suggested visual materials made by GSP and applets in IES .

• Research in Mathematical Education
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• v.14 no.4
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• pp.323-332
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• 2010

It is the development of a mathematics teachers' teaching knowledge that manifests a mathematics teacher's professional knowledge growth. It is becoming a direct and effective approach of conversion of mathematical knowledge into the knowledge of mathematics teaching. Through the investigation, the study revealed that the knowledge conversion process of mathematics teachers in middle school is restricted by three aspects including eight factors. From this point, the authors have structured the path and model on influencing factors of middle school Mathematics Teaching Knowledge Conversion (MPCK), and discuss the mechanism of the transformation process.

• The Mathematical Education
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• v.51 no.4
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• pp.429-453
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• 2012

The purpose of the study were to analyze teaching models of arithmetic operations of integers in Korean middle school mathematics textbooks of the first grade and Americans', from which we compare and analyze standards for choice of models of middle school teachers and preservice mathematics teachers. We also analyze the effect of the choice of teaching models for students to understand and appreciate number systems as a coherent body of knowledge. On the basis of that, we would like to find the best model to help students understand and reason the process of formulate the arithmetic operations of natural numbers and integers into the operation of the real number system. Furthermore, we help these series of the study to be applied effectively in the middle school mathematics class in Korea.

• The Mathematical Education
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• v.49 no.1
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• pp.15-37
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• 2010

In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

• School Mathematics
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• v.11 no.3
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• pp.335-349
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• 2009

The purpose of this study is to explore how a mathematics teacher's beliefs about mathematics and teaching and learning and mathematics and how such beliefs are related to her knowledge manifested in her mathematics instruction. The study illustrates images of teaching practice of an American mathematics teacher in middle grades mathematics classrooms. Results suggest that the teacher seems consistent in teaching in terms of her beliefs about mathematics and learning and teaching mathematics in some degrees. In particular, the teacher's beliefs affected the ways in which mathematics teacher organized and structured her lessons.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.321-339
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• 2013

This study is basic research about actualizing mathematical teaching and learning based on storytelling that is raised for reforming school mathematics education. We have developed mathematics textbook model for 2nd grade in middle school based on storytelling. It was applied in the middle school classroom and the results were analyzed. In order to develop the mathematics textbook model, the procedures and methods of development were extracted from the literature. And mathematics textbook model was developed in accordance with the process and methods. To apply it in school 20 hours of instruction were carried out. For the analysis of the results, we conducted a questionnaire survey, the teachers' interview, the affective test and math anxiety test. Through the results of this study, we will be able to check the possibility of storytelling in mathematics class. And it will be also the foundation of mathematics teaching and learning based on storytelling in middle school.

• Research in Mathematical Education
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• v.15 no.3
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• pp.295-310
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• 2011

Teachers' attitudes and beliefs are related to teaching practices and are dependent upon their teaching domain. The present study compares conceptual models of creative student oriented teaching practices of mathematics teachers in two OECD countries, South Korea and Turkey to provide an insight for teacher educators and policy makers. Teaching and Learning International Survey 2008 (TALIS 2008) data are used to test the fit of a path analysis model with a subsample of l337 middle school mathematics teachers ($N_{Korea}$ = 562 vs. $N_{Turkey}$ = 775). The study showed that Turkish teachers were younger and less experienced, whereas Korean teachers were better educated. Despite the statistical differences in attitudes, beliefs and practices between countries, it was found that the teaching practices of mathematics teachers in both countries were more complex than to be explained only through attitudes and beliefs.

• The Mathematical Education
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• v.59 no.4
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• pp.295-312
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• 2020

This study aimed to investigate and compare perceptions of middle and high school mathematics teachers on assessment. For the purpose, we developed and used a survey consisting of two parts(importance/performance on assessment and general opinion on process-based assessment). We gathered data from 188 middle school and 125 high school mathematics teachers in Incheon area. An Importance-Performance Analysis(IPA) method was used for data analysis. As results, middle school mathematics teachers showed higher perception on both importance and performance in almost all area on assessment than high school teachers. In addition, research results based on teaching experience indicated that mathematics teachers having more teaching experience seemed to perceive high importance-high performance and low importance-low performance tasks more than mathematics teachers having less experience. In particular, middle school teachers recognized many low importance-high performance tasks according to their teaching experience. The IPA gave us different results depending on the school size. The larger the school, the more diverse opinions appeared tasks in low importance-high performance. From the general opinion on process-based assessment, the middle school mathematics teachers also seemed to have more positive perspectives and to be more active in assessment than high school mathematics teachers. Finally, we discuss implications for future policy formulation and implementation on process-based assessment.

• Journal of the Korean School Mathematics Society
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• v.3 no.2
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• pp.123-131
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• 2000

In order to educate future leaders of the new age, we should help students to increase their basic knowledge, thinking and problem solving ability. It is necessary that we should use multi-media, computer as well as old teaching-learning material to improve students' basic knowledge and to motivate their interest in mathematics in the small-sized Middle School situated on the agricultural and fishery village. In solving this problem, it is ultimately necessary that we should utilize CAI program on the learning achievement in mathematics for the students to understand basic concept, principle, law and to promote teaching-learning process considered on individual different abilities. Therefore, this study is on the effect of students' interest and learning achievement in mathematics when we develop CAI program focusing on the lesson statistics in the 3rd Grade Middle School Mathematics Textbook and explain the concept and principle of statistics through using exact and various techniques of computers

• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.385-400
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• 2007

This study pilot tested a researcher-designed instrument based on National Council of Teachers of Mathematics' problem solving standard and middle school teachers' beliefs about teaching problem solving. One hundred twenty four teachers' responses were analyzed. The instrument was validated and found to be reliable. The study found that females and males have significantly different beliefs about teaching problem solving. Age of the teacher did not appear to affect the teaching of problem solving.