• School Mathematics
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• v.15 no.3
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• pp.651-665
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• 2013

The aim of this study is to find how unformal proof activities contribute to solving problems successfully and to confirm the role of teachers in the progress. For this, we developed a task that can help students communicate actively with the concept of unformal proof activities and conducted a case lesson with 6 graders in Elementary school. The study shows that unformal proof activities contribute to constructing representations which are needed to solve math problems, setting up plans for problem-solving and finding right answers accordingly as well as verifying the appropriation of the answers. However, to get more out of it, teachers need to develop a variety of tasks that can stimulate students and also help them talk as actively as they can manage to find right answers. Furthermore, encouraging their guessing and deepening their thought with appropriate remarks and utterances are also very important part of what teachers need to have in order to get more positive effect from these activities.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.47-66
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• 2019

The purpose of this study is followings. First, we develop and apply teaching and learning methods for conducting team projects in flipped calculus class. Second we collect data such as team reports, individual reviews, and surveys during class activities. Third we survey the impacts on participation in student team activities, advanced studying, communication and collaboration. A total of 120 engineering and science majoring students participated in the 16-week long class study administered in team project learning styles in Spring 2018. There were two characteristics of this class. First students studied concepts and examples with video in pre-class and did the team project learning in the classroom. Second we used Google Drive to record team project progress, and to make sure the instructor to intervene appropriately in team activities. We conducted a team project inside and outside the classroom. This could lead the instructor to advise students and so their participation in team activity increased. As a result, it not only had a good effect on communication and cooperation, but also had an effect on advanced learning.

• The Mathematical Education
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• v.60 no.3
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• pp.341-362
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• 2021

The purpose of this study is to explore the qualitative characteristics of pre-service teachers' motivation while they are participating in group activities for developing mathematical essay assessment problem and revising it. For this purpose, we analyzed individual factors about group learning activities as well as contextual factors about practical competency (in developing and revising mathematical essay assessment problem through collecting data of student responses to the problem). As results of data analyses, autonomy, among individual factors regarding group learning activities, was one of the main characteristics in attainment value, utility value, and intrinsic value, whereas task, authority, and grouping, among contextual factors regarding practical competency, appeared to have a positive impact on task value. These results suggest how to think of specific ideas and articulate them in designing a curriculum to develop student-evaluation expertise for pre-service teachers.

• Journal of Gifted/Talented Education
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• v.24 no.4
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• pp.657-677
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• 2014

Considering the expansion of gifted education and the quantitative increase the Gifted Science Academy, it is important to seek the appropriate methods of mathematics teaching for gifted high school students. In particular, to reflect current trends in mathematics education that the mathematical creativity is being presented as an important educational goal, Now is the time we need student-centered discussion model for regular mathematics classes, not teacher-centered instruction in the way of knowledge transfer. In this study, class model of preparation-based discussion was designed and applied to the regular mathematics classes for the Science Academy. Students participating in this research had a lot of pressure in preparation activities for discussion, but they said that the discussion compared to traditional lecture was mathematically meaningful experience. These findings suggest the implication that class model of preparation-based discussion can be meaningfully applied to the regular mathematics class.

• Journal of the Korean School Mathematics Society
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• v.15 no.3
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• pp.565-584
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• 2012

This study investigates how the GSP helps gifted and talented students understand geometric principles and concepts during the inquiry process in the generalization of the internal triangle, and how the students logically proceeded to visualize the content during the process of generalization. Four mathematically gifted students were chosen for the study. They investigated the pattern between the area of the original triangle and the area of the internal triangle with the ratio of each sides on m:n respectively. Digital audio, video and written data were collected and analyzed. From the analysis the researcher found four results. First, the visualization used the GSP helps the students to understand the geometric principles and concepts intuitively. Second, the GSP helps the students to develop their inductive reasoning skills by proving the various cases. Third, the lessons used GSP increases interest in apathetic students and improves their mathematical communication and self-efficiency.

• Journal of the Korean School Mathematics Society
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• v.12 no.3
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• pp.319-345
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• 2009

Nowadays the researches on the reading materials about Mathematics are emphasized and quitely active. But most researches have just proposed the lists of books or materials of the reading activities in Mathematics. Therefore we choose the subject for this study as the analysis of the characteristic attitudes about Mathematics for 3-leveled (high, middle, low) high-school students who have studied Mathematics using the reading activities. After the applications of reading activities for leveled students, we have the following results. For the low-leveled students, the high-leveled(=difficult to understand) reading materials may loose the confidence and interest about Mathematics. The appropriate reading materials for leveled students will increase the interest and change the attitude about Mathematics. We expect that the reading activities in Mathematics extend the logical and rational thinking power that our society has required.

• The Mathematical Education
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• v.57 no.3
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• pp.247-270
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• 2018

The purpose of this study is to investigate the mathematical disposition and mathematical communication level of elementary school students in the process of applying mathematical journal writing activities. For this study, 21 third grade students in elementary school were observed when they participated in mathematical journal writing activities while studying number and operation area. According to the Mathematical disposition pre-test and post-test results, mathematical confidence, mathematical flexibility, mathematical will, and mathematical reflection increased and it was statistically proved. Expression and explanation level of the mathematical communication writing area also increased as the mathematical journal writing activity continued. Thus, mathematical journal writing activities can help to enhance the core competencies of the 2015 revised mathematics curriculum while make students 'to develop and transform mathematical expressions' and 'to express oneself'. Also, it provides implications of including active writing activities such as mathematical journal writing activities into mathematics classroom. Furthermore, the change in mathematical communication level according to mathematical disposition level was not statistically significant. Therefore, when providing active writing activities including mathematical journal writing activities into classroom, it is necessary to understand students' individual characteristics and to encourage communication to be active rather than giving feedback based on one's mathematical disposition level.

• School Mathematics
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• v.13 no.1
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• pp.175-187
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• 2011

The purpose of this study is to develop and utilize various kinds of mathematics teaching materials for gifted class in elementary school by utilizing polyominoes and a what-if-not strategy. Blokus is used to let students understand the characteristics of polyominoes, and omok is utilized to let them grasp interior point. Thus, the activities that utilized the new materials, blokus and omok, are developed to teach Pick's theorem. Besides, recreation activities were additionally prepared to provide education in an easy, intriguing and creative manner. The findings of the study is as follows: First, each of the materials was utilized in a different manner when the students engaged in basic and enrichment learning. Second, the mathematically gifted students were able to discover Pick's theorem in the course of utilizing the materials that contained recreational elements. Third, the students were taught to foster their problem-solving skills about area, girth and interior point by making use of the materials that were designed to be linked to each other. Fourth, existing programs were just designed to attain particular objects, to be conducted at a fixed time and to cater to particular graders. Fifth, when the students made problems by making use of the what if (not) strategy and the materials, they responded in diverse ways and were able to apply them.

• Journal of Families and Better Life
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• v.30 no.6
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• pp.115-127
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• 2012

This study's aim was to analyze the effect of a project activity based on role play on 5-year-olds' mathematical ability. The participants of this study were 56 5-year-olds from two educational institutions for young children located in two metropolitan cities in Korea. The experimental group (n=28) participated in a project activity based on role play, while the comparative group (n=28) did not. The "Mart Play" project activity based on role play was developed emergently by the children and teachers of the experimental group. The children's mathematical ability was measured before and after the experiment. The data were analyzed using t-test and ANCOVA. As a result, the project activity based on role play had an effect on the improvement of 5-year-olds' mathematical ability generally, but not on their measurement ability.

• The Mathematical Education
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• v.44 no.1 s.108
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• pp.143-152
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• 2005

The purpose of this study is to investigate responses or phenomena shown by the students in the process of manipulative activities in order to use manipulatives effectively in the elementary school geometry classes. The fualitative study used for this research analyzed phenomena in the process of learning programs offered to students. The five participants of this research were selected from the third graders at C Elementary School in Seoul city. The researcher recorded all the activities of students, watching them thoroughly and extracting significant statements from each description. These statements were formulated by their meanings, and then those meanings were analyzed into classified themes. The results through this research are as follows: First, previous activities affected later activities positively in the conjoining case, but negatively in the disjoining case and hence it required adventurous thinking. Second, students tried various attempts for solving given problems.