• Communications of Mathematical Education
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• v.29 no.4
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• pp.589-623
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• 2015

This study is to find out a way to foster self-directed learning math skills for the low-income youth at child care centers. Taking advantage of EBS materials, we found the youth, low-income youth in particular, were positively influenced to learn mathematics in the way of self-directed and action learning. This program gives a model of the self-directed math learning using the EBS mathematics materials. From the survey of this study, we found see that students started to have a positive attitude for learning and they started to gain new mathematical concept, and improved their problem solving, reasoning, communication and representation skills with these new leaning environments. This study tells us that this type of cooperative learning could help them to have an objective assessment, and gave a positive impact on self-directed learning.

• School Mathematics
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• v.15 no.2
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• pp.481-501
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• 2013

The purpose of this study is to review the role of dragging in dynamic geometry environments. Dragging is a kind of dynamic representations that dynamically change geometric figures and enable to search invariances of figures and relationships among them. In this study dragging in dynamic geometry environments is divided by three perspectives: dynamic representations, instrumented actions, and affordance. Following this review, six conclusions are suggested for future research and for teaching and learning geometry in school geometry as well: students' epistemological change of basic geometry concepts by dragging, the possibilities to converting paper-and-pencil geometry into experimental mathematics, the role of dragging between conjecturing and proving, geometry learning process according to the instrumental genesis perspective, patterns of communication or discourse generated by dragging, and the role of measuring function as an affordance of DGS.

• Journal of the Korean School Mathematics Society
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• v.24 no.2
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• pp.191-216
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• 2021

This study analyzes how statistical literacy is implemented along with the statistical problem-solving process as described in the Statistical Estimation Unit of the textbook by the 2015 revised mathematics curriculum. The analytical framework was developed from the literature, and consists of 'context', 'variability', 'mathematical and statistical knowledge', 'using of technological instruments', 'critical attitude', and 'communication'. From the perspective of the statistical problem-solving process, the analysis revealed that many tasks equivalent to 'Analyzing Data' but lacked tasks related to 'Interpreting Results' and 'Formulating Questions'. As a result of analyzing the reflection of each element of statistical literacy, 'mathematical and statistical knowledge' was the most common task, but 'critical attitude' and 'using of technological instruments' were rarely dealt with. Based on the results of this textbook analysis, it was intended to provide implications for improving the curriculum and the development of textbooks for the growth of statistical literacy.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.4
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• pp.737-760
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• 2016

This study analyzed the 2009 revised curriculum 6th grade math geometric domain and developed virtual operation tool contents based RME theory. These materials were examine to find out how to effect on the spatial sense and mathematical attitudes by applying it to teach the 6th grade students. The results were as follows. First, it is more effective for improving spatial sense to study mathematics based RME theory with virtual operation tool contents than normal one. This means that mathematics study based RME theory with virtual operation contents overcomes the limitations of flat learning environment. And it is great educational and effective method for students to improve their spatial sense. Second, it is more effective for improving mathematical attitudes to study mathematics based RME theory with virtual operation tool contents than normal one. This means that Mathematics study based RME theory with virtual operation contents makes student more participate learning actively. It helps the students who have passive learning habits to have self-directed learning habits, ability to cooperation and communicate. The results of this study suggest that mathematics study based RME theory is very helpful for student to improve their spatial sense and have positive effect on self-concept in mathematics, attitudes toward mathematics and improving study habits in mathematical attitudes.

• Communications of Mathematical Education
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• v.37 no.1
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• pp.1-19
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• 2023

Mathematics Listening Ability(MLA) refers to the ability to listen to and grasp the meaning of speech language containing mathematical concepts and principles, distinguishing it from daily life and listening in other subject classes. According to literature, MLA might be divided into six types. Among them, interpretation, discovering, evaluating, and evaluation may indicate an attitude that correctly listens to the meaning of the language used in mathematics classes. On the other hand, selective, pretend, and ignore are types of listening attitudes that are not appropriate. Based on the statistical analysis of 834 3rd to 6th graders and a total of 44 homeroom teachers I developed a MLA survey items for elementary school students. In this study, principal component analysis was conducted to verify reliability in the development of survey items, and expert review and correlation analysis of survey results were conducted to verify validity. In addition, the validity was verified by statistically analyzing the survey results of students and their homeroom teachers. Based on literature and statistical analysis, I developed a MLA Survey items(for students) consisting of 25 questions and a mathematical resolution measurement tool(for teachers) consisting of 26 questions.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.2
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• pp.357-377
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• 2014

The purpose of this study is to identify whether math class with clip-type contents has a significant impacts on the academic achievement and attitude of students. To answer the questions, two classes of 4th graders at Sinlim Elementary School in Gwanak-gu, Seoul were selected as subjects; they were divided into experimental group and comparative group. They were confirmed as a homogeneous group at the significance level of 0.05 during a pre-test. The findings are as follows. First, math class with clip-type contents had positive influence on the academic achievement. Second, math class with clip-type contents had positive influence on the attitude towards learning. Furthermore, proper clip-type contents for class boost their understanding and enhance their mathematical thinking with multiple views. It led to their self-confidence in learning math, developing a positive attitude towards math. The benefits of the present research can be summarized as follows. First, the math class with clip-type contents benefited both teachers and students. For teachers, it helped them boost the quality of their teaching. For students, it helped them understand the class better, improving their academic achievement. Second, the diverse, interesting contents had a positive impact on the following of the students: self-concept of math; attitude towards math; learning habits.

• Journal of Educational Research in Mathematics
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• v.14 no.1
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• pp.89-110
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• 2004

The purpose of this study is to identify the significant characteristics shown in the field of mathematics by a gifted child, the educational curriculum for this child, and to find what has to be set in place in the areas of teacher's teaching methods and programs. The important aspect of these ideas is that one has to completely understand and know the characteristics of the gifted in order to give them the opportunity to discover their underlying talents and to develop upon those skills by giving them suitable and appropriate education for their intellectual state. This study focuses on the thoughts and behavior of a gifted male child, from his third to fifth grade, and the study shows the results and analysis of data gathered from close observation and interview, and a collection of documents gathered from the child. This study is analyzed from three different perspectives: 1. The typical life and surroundings of this gifted child, and how he was raised in this particular environment. This also shows the significant event that allowed others to recognize him as gifted. 2. Identification of how a gifted child's mind works in the field of mathematics. This attempts to analyze methods the child uses to arrive at a solution to a problem. 3. Exploration of mathematical attitude of the child. This shows the child's interest in mathematics, and the willingness to find better and more efficient ways to reach a solution. This also shows the child's ability to explain his purpose and methods of problem solving in detail, and the focus and clarity in communication of mathematics. This study will enlighten the readers with information on the importance of advanced education specifically designed for the gifted. In development of advanced education programs, it is necessary to comprehend the minds of the mathematically gifted, and furthermore, this will help in defining an appropriate teaching method and curriculum for a better equipped educational system.

• School Mathematics
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• v.15 no.1
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• pp.159-177
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• 2013

This study is a case study of STEAM education. We have developed teaching and learning materials, suggested teaching method, and analysed the result for exploring the potential and effect of STEAM. The content of this study is based on the history of mathematics. Science (S) is related to the 24 divisions of the year, the height of the sun, the movement of heavenly bodies. Technology (T) is related to the exploration with graphic calculators. Engineering (E) is related to design sundial and research on the design principles. Art (A) is related to literature review about mathematical history, the understanding of the value of the mathematics. Mathematics (M) is related to the trigonometric functions. We have considered that Project-Based Learning is proper teaching and learning for STEAM education, we have designed the STEAM PBL and analysed the results focused on the developing integrative knowledge, mathematical attitude including mathematical value, the competencies of 21 century. The result of this study is as follows. We find that STEAM education activates students' collaboration, communication skills and improves representation and critical thinking skills. Also STEAM education makes positive changes of students' mathematical attitudes including the values of the mathematics.

• Education of Primary School Mathematics
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• v.14 no.3
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• pp.277-291
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• 2011

It is necessary for the teacher to understand why teach mathematics in order to implement the visions and expectations of the national mathematics curriculum in her actual classroom. This study conducted a survey of examining how elementary school teachers might understand the purpose of teaching mathematics. The results of this study showed that teachers' conceptions of the purpose of teaching mathematics were related mainly to the development of logical thinking, practical use of mathematics in everyday life, and a tool for studying other subjects or disciplines. However, teachers did not perceive much other purposes of mathematics education such as understanding the world, appreciating aesthetic value of mathematics, and developing communicative ability as well as sociality. Whereas teachers did not think of the significance of mathematics as an intellectual field when asked to write down how they would explain students why they had to learn mathematics, they tended to strongly agree it in the Likert-scale responses. Teachers' conceptions were not different according to their gender but teachers with less than five years' teaching experience were relatively negative than others with more experience. Given these results, this study provided issues and implications of teachers' conceptions of the purpose of teaching mathematics.

• School Mathematics
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• v.19 no.4
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• pp.751-774
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• 2017

Having mathematics for everyone in terms of students' mathematics achievement and attitudes toward mathematics is challenging in high school in South Korea. To gain such purpose, teachers are supposed to have a considerable amount of knowledge and develop mathematical and pedagogical reasoning and insight because equity can be fulfilled in mathematics classroom when any student share their ideas and have mathematical discussions. As a part of a large project aimed to develop and enact professional development for equity and examine its effects and, finally, to propose the direction of professional development to help students cognitively and affectively balanced grow in mathematics, the current study briefly introduces how such professional development was designed and implemented. This study reports its effect based on the statistical analysis of students' responses for the three different surveys, which are parts of the National Assessment of Educational Achievement study, TIMSS Advanced, and the survey about classroom interaction. The data collected in all students in school whose three mathematics teachers had participated in the professional development for two years. The findings consistently indicate the strong and impressive growths in students' attitudes toward mathematics, which are statistically significant. Furthermore, their attitudes toward mathematics are also related to interactions in a mathematics classroom. Based on such results, this study claims expansion of professional development for equity.