• Research in Mathematical Education
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• v.14 no.1
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• pp.11-18
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• 2010

The basic idea of cooperative learning focuses on team reward, equal opportunities for success, cooperation within team and competition among teams, and emphasizes share of sense of achievement through joint efforts so as to realize specific learning objectives. The main strategies of engineering mathematics teaching based on cooperative learning are to establish favorable team and design reasonable team activity plan. During the period of team establishment, attention shall be given to team structure including such elements as team status, role, norm and authority. Team activity plan includes team activity series and team activity task. Team activity task shall be designed to be a chain of questions following a certain principle.

• Korean Journal of Child Studies
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• v.31 no.5
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• pp.63-77
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• 2010

This study was to investigate the differences of 'math talks' between concept-based storybook reading and context-based storybook reading activities. The teachers carried out storybook reading activities with their children using either four concept-based storybooks or four context-based storybooks. Fifty-six storybook reading activities from seven kindergarten classrooms were observed. The data were collected through participant observations and audio recordings. The transcriptions of 'math talks' during storybook reading activity were classified in terms of the levels of instructional conversation, types of mathematizing, and the mathematical processes involved. The results indicated that the 'math talks' during the concept-based storybook reading activity were higher than those of the context-based storybook reading activity in terms of both the instructional conversation and in quantifying and redescribing of mathematizing. However, the 'math talks' during the context-based storybook reading activity were higher than those of the concept-based storybook reading activity in connecting and reasoning of the mathematical processes involved. These findings suggest that early childhood teachers need to improve the level of instructional conversation during math storybook reading activities.

• The Mathematical Education
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• v.43 no.4
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• pp.399-404
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• 2004

Mathematical creativity is a main topic which is studied within mathematics education. Also it is important in learning school mathematics. It can be important for mathematics teachers to view mathematical creativity as an disposition toward mathematical activity that can be fostered broadly in the general classroom environment. In this article, it is discussed that creativity-enriched mathematics instruction which includes creative problem-solving and problem-posing tasks and activities can be guided more creative approaches to school mathematics via routine problems.

• Journal of Educational Research in Mathematics
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• v.9 no.1
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• pp.151-165
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• 1999

In this study, I consider the meaning of activity as the source of mathematical knowledge. Mind-body dualism of Descartes which understands that knowledge precedes activity is somewhat overcomed by Ryle who understands that knowledge and activity are two sides of the same coin. But his discussion cannot offer the explanation about the foundation of rightness or the development of rules which can be expressed propriety of activity or rationality. Contrary to these views, Piaget solve this problem by the reasonability of 'the whole system of activity'. The theory of Dewey can be evaluated as an origin of activism of Piaget. Piaget considers knowledge as the system of activity itself, whereas Dewey considers knowledge as 'the result of activity'. This view of Dewey is related to the view of pragmatism which considers 'practice' is more important than 'theory'. The nature of 'activity' in this study has to be understanded as the interaction or the relation between the subject and the object. If we understand activity like this, we can explain that the whole structure of activity has the 'wholeness' that cannot be simply restored to the sum total of 'parts' and the new structure is a self-regulative transformation system which includes former structure continuously.

• Journal of Elementary Mathematics Education in Korea
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• v.5 no.1
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• pp.77-98
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• 2001

This study has a purpose to find out how the problem posing activity by presenting the problem situation effects to the mathematical problem solving ability. It was applied in two classes(Experimental group-35, Controlled group-37) of the fourth grade at ‘D’ Elementary school in Bang Jin Chung nam and 40 Elementary school teachers working in Dang Jin. The presenting types of problem situation are the picture type, the language type, the complex type(picture type+ language type), the free type. And then let them have the problem posing activity. Also, We applied both the teaching-teaming plan and practice question designed by ourself. The results of teaching and learning activities according to the type of problem situation presentation are as follows; We found out that the learning activity of the mathematical problem posing was helpful to the students in the development of the mathematical problem solving ability. Also, We found out that the mathematical problem posing made the students positively change their attitude and their own methods for mathematical problem solving.

• School Mathematics
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• v.9 no.4
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• pp.467-486
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• 2007

In mathematical modeling activity modeling process is usually an iterative process. When model can not be solved, the model needs to be simplified by treating some variables as constants, or by ignoring some variables. On the other hand, when the results from the model are not precise enough, the model needs to be refined by considering additional conditions. In this study we investigate the role of spreadsheet model in model refinement and modeling process. In detail, we observed that by using spreadsheet model students can solve model which can not be solved in paper-pencil environment. And so they need not go back to model simplification process but continue model refinement. By transforming mathematical model to spreadsheet model, the students can predict or explain the real word situations directly without passing the mathematical conclusions step in modeling process.

• Research in Mathematical Education
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• v.15 no.2
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• pp.181-196
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• 2011

In mathematical modeling tasks, where students are exposed to model-eliciting for real and open problems, students are supposed to formulate and use a variety of mathematical skills and tools at hand to achieve feasible and meaningful solutions using appropriate problem solving strategies. In contrast to problem solving activities in conventional math classes, math modeling tasks call for varieties of mathematical ability including mathematical creativity. Mathematical creativity encompasses complex and compound traits. Many researchers suggest the exhaustive list of criterions of mathematical creativity. With regard to the research considering the possibility of enhancing creativity via math modeling instruction, a quantitative scheme to scale and calibrate the creativity was investigated and the assessment of math modeling activity was suggested for practical purposes.

• Research in Mathematical Education
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• v.8 no.3
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• pp.145-155
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• 2004

Mathematics, by its nature, is a creative activity. Creativity can be developed either through considering its intrinsic beauty or by examining the role that it plays in applications to real world problems. Many of the great mathematicians have been vitally interested in applications and gained inspiration in developing new mathematics from the mathematical descriptions of physical phenomena. In this paper we will examine the processes of applying mathematics by looking at how mathematical models are formed and used. Applications from sport, the environment and populations are used as illustrations.

• Research in Mathematical Education
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• v.9 no.2 s.22
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• pp.175-182
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• 2005

This paper will present two activity cases for developing mathematical creativity at The Center for Science Gifted Education (CSGE) of Chongju National University of Education of Korea. One is 'the magic card mystery'; the other is 'mathematicians' efforts to solve equations'.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.171-186
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• 2009

$Poincar\acute{e}$ is mathematician and the episodes in his mathematical invention process give suggestions to scholars who have interest in how mathematical invention happens. He emphasizes the value of unconscious activity. Furthermore, $Poincar\acute{e}$ points the complementary relation between unconscious activity and conscious activity. Also, $Poincar\acute{e}$ emphasizes the value of intuition and logic. In general, intuition is tool of invention and gives the clue of mathematical problem solving. But logic gives the certainty. $Poincar\acute{e}$ points the complementary relation between intuition and logic at the same reasons. In spite of the importance of relation between intuition and logic, school mathematics emphasized the logic. So students don't reveal and use the intuitive thinking in mathematical problem solving. So, we have to search the methods to use the complementary relation between intuition and logic in mathematics education.