• The Mathematical Education
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• v.38 no.1
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• pp.87-94
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• 1999

A multimedia CD title is developed for learning simple closed curve and Mobius band which are one of mathematics contents in the first grade of middle school. This title visualizes various figures through graphics and animations so that students can easily understand the relevant concepts and learn them with fun. It is shown that 88.6% of 30 sampled teachers are positive for the title and that 86.7% want to use it as a teaching tool in their classes.

• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.75-94
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• 2013

As part of the education in the pursuit of equity, in this study, we have analyzed the differential item functioning on mathematics assessment through the result of 2011 National Assessment Educational Achievement. For this we used SIBTEST method and M-H method to extract differential item functioning on multicultural and North Korea migrant families students. As a result, 10 items that has the differential functioning were extracted by both methods in three school levels from Elementary, Middle and High School. The result of a exploratory for potential causes of differential functioning on multicultural and North Korea migrant families students through a qualitative analysis of each items that has been extracted, language ability, the complexity of computation and problem-solving process, the curriculum, the problem situation have been discussed. These results will be able to contribute to establishing education policy and designing teaching and learning methods for the multicultural and North Korea migrant families students.

• The Pure and Applied Mathematics
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• v.24 no.3
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• pp.155-169
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• 2017

In this paper we obtain some integral inequalities involving impulses and apply our results to a certain integro-differential equation with impulses. First, we obtain a bound of the equation, and we use the bound to study some qualitative properties of the equation.

• East Asian mathematical journal
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• v.33 no.4
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• pp.381-411
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• 2017

The purpose of this study is to investigate how students' mathematical creativity changes through problem-solving instruction using problem-posing for elementary school students and to explore instructional methods to improve students' mathematical creativity in school curriculum. In this study, nonequivalent control group design was adopted, and the followings are main results. First, problem-solving lessons with problem-posing had a significant effect on students' mathematical creativity, and all three factors of mathematical creativity(fluency, flexibility, originality) were also significant. Second, the lessons showed meaningful results for all upper, middle, and lower groups of pupils according to the level of mathematical creativity. When analyzing the effects of sub-factors of mathematical creativity, there was no significant effect on fluency in the upper and middle groups. Based on the results, we suggest followings: First, there is a need for a systematic guidance plan that combines problem-solving and problem-posing, Second, a long-term lesson plan to help students cultivate novel mathematical problem-solving ability through insights. Third, research on teaching and learning methods that can improve mathematical creativity even for students with relatively high mathematical creativity is necessary. Lastly, various student-centered activities in math classes are important to enhance creativity.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.205-212
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• 2010

Reflection has been of interest to educators as Dewey discussed it. Information about how teachers interpret and analyze their students' learning would help us understand difficulties in teaching and learning. Moreover, it can be useful for teacher education by improving teaching methods. In this study, I investigated four U.S.A. mathematics teachers in a middle school. In this paper, I discussed Assess instances among the teachers' reflections on their students' thinking and changes of the reflections as time went by.

• Education of Primary School Mathematics
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• v.24 no.3
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• pp.157-174
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• 2021

This study analyzed the process of establishing a social structure in a third-grade mathematics classroom for one semester and explored learning processes based on various social interactions and relationships between the teacher and students. In the early phase of the semester, main foci were placed on establishing an overall social norms and basic social structure for effective mathematical learning. In the middle phase of the semester, an emphasis among students' interactions was given to exploration of mathematical concepts. Students tended to ask whatever they did not know exactly and clearly understood what to explain. In the late phase of the semester, students' individual disposition was further considered. Disciplinary personality traits including intellectual courage, honesty, consideration, and cooperation were emphasized along with mathematical exploration. Based on these research results, this study was intended to provide implications for implementing more meaningful mathematics lessons by fully considering not only mathematical connections but also social connections.

• School Mathematics
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• v.18 no.4
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• pp.839-856
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• 2016

In 2009 revision and 2015 revision mathematics national curriculum, 'proof' was moved to high school from middle school in consideration of the cognitive development level of students, and 'proof by contradiction' was stated in the "success criteria of learning contents" of the first year high school subject while it had been not officially introduced in $7^{th}$ and 2007 revision national curriculum. Proof by contradiction is known that it induces a cognitive conflict due to the unique nature of rather assuming the opposite of the statement for proving it. In this article, based on the logical, mathematical and historical analysis of Proof by contradiction, we looked about the introductions and the applications of the current textbooks which had been revised recently, and searched for improvement measures from the viewpoint of discovery, explanation, and consilience. We suggested introducing Proof by contradiction after describing the discovery process earlier, separately but organically describing parts necessary to assume the opposite and parts not necessary, disclosing the relationships with proof by contrapositive, and using the viewpoint of consilience.

• The Mathematical Education
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• v.56 no.1
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• pp.41-62
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• 2017

The purpose of this study is to propose the possibility of integrating creativity and character education and its need in mathematics education by developing and validating a testing tool assessing students' perceptions of mathematical creativity and character. For this purpose, we developed sixty questions in total to extract factors of mathematical creativity and character based on a literature review. Then, questionnaire data were collected for 1258 middle school students. After the collected data were randomly divided into two (n1=615, n2=643), the first group of data was used for exploratory factor analysis and the second one was employed for confirmatory factor analysis. As a result, 45 problems showing nine factors were extracted. The cognitive components of creativity includes divergent thinking, convergent thinking, imagination/visualization, and reasoning, whereas its affective components are interest, motivation, and openness. The character components contain participation, communication, responsibility, and promise. In addition, it is concluded that the developed testing tool, in which character in the model of this study impacts creativity meaningfully, has a measurement consistency which is not affected by gender and grade differences. These results have implications for a guide to curriculum development promoting creativity and character at school by showing objective and practical foundations of helping how to integrate creativity and character education.

• The Pure and Applied Mathematics
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• v.26 no.3
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• pp.157-175
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• 2019

In this paper we define higher-order Stieltjes derivatives, and using Schaefer's fixed point theorem we investigate the existence of solutions for a class of differential equations involving second-order Stieltjes derivatives with two-point boundary conditions. The equations include ordinary and impulsive differential equations, and difference equations.

• School Mathematics
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• v.13 no.1
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• pp.189-206
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• 2011

This study is to setup a mathematics PBL model that is right for elementary students. PBL models are developed and applied to actual courses and analyzed. So, a specific plan and practical understanding of PBL mathematics textbooks will be presented. But in order for this to happen, first the mathematics PBL model, that can realize 7th revised curriculum's goal, needs to setup and divided into knowledge, skill and attitude domains. Through this study, the general PBL model and the PBL model appropriate for elementary mathematics was amended and supplemented, this was then applied to courses and analyzed, and the below conclusions were realized. First, mathematical idealization stage is needed for mathematical PBL model. Since an elementary student is shortcoming in problem understanding and mathematical activity, a middle step that allows the student to understand the problem situation mathematizing and find a solution mathematically is desperately needed. Therefore, in this study, we named it the mathematical idealization stage and had it setup. Second, a mathematics information collection stage needs to be prepared for a successful PBL. Through this stage, the students will have an opportunity to gather the necessary information needed and restructure it to solve the problem. Third, the organization stage in mathematical PBL model needs to be strengthened. PBL is not just completed, through the best use of mathematics subject matter to solve the problem. Organization time is needed to allow the students to grow to a more deepened and advanced level. In conclusion, there is significance in providing a specific plan for mathematical PBL model, which can be seen through this study on applying and analyzing elementary mathematics and appropriate PBL models.