• 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.

• 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.

• School Mathematics
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• v.6 no.4
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• pp.373-388
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• 2004

This paper is to develop teaching procedures of low achievers in mathematics by using mindmaps. For this, we firstly set the teaching process on basis of literature research. And then we choose four subjects who had serious problems of both memory and mathematics achievement. we also choose the several topics of geometry and measure which could be a big burden of memory as stuff for mindmap activities. The results led us to that using mindmap activities in learning and teaching mathematics could effect on that kind of students' mathematical achievement and mathematical attitude as well as retention of mathematical concepts. It implied that we could develop individual programs for students who have different problems in learning mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.527-544
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• 2015

Storytelling is one of the important features in the elementary school mathematics textbooks of the 2009 revised curriculum. In particular, the whole 'comparing objects' unit in the first grade mathematics textbook is based on storytelling method. In this study, we investigate the contents of the stories and the mathematical activities in the 'comparing objects' unit from both mathematical and character educational viewpoints. Based on our investigations, we analyze educational problems on teaching and learning mathematics as storytelling, suggest reconstructed alternative mathematical activities, and drew their educational implications.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.539-560
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• 2013

The purpose of this study was to investigate characteristics of mathematically gifted high school students' thinking in design activities using GrafEq. Eight mathematically gifted high school students, who already learned graphs of functions and inequalities necessary for design activities, were selected to work in pairs in our experiment. Results indicate that logical thinking and mathematical abstraction, intuitive and structural insights, flexible thinking, divergent thinking and originality, generalization and inductive reasoning emerged in the design activities. Nonetheless, fine-grained analysis of their mathematical activities also implies that teachers for gifted students need to emphasize both geometric and algebraic aspects of mathematical subjects, especially, algebraic expressions, and the tasks for the students are to be rich enough to provide a variety of ways to simplify the expressions.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.1
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• pp.93-114
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• 2018

The purpose of this study was to analyze mathematical the effects of problem posing activities on students' characteristics toward mathematics to encourage active learning. We will also examine various examples of the characteristics of the problems made by students with different mathematical characteristics. We chose one 6th grade group to conduct this research. From the results of this study, we obtained the following conclusions. First, problem posing activities are effective in improving students' mathematical interest and confidence, value recognition. Second, Students with different mathematical characteristics showed different results in problem posing activities. We confirmed the effectiveness of problem posing activities on students' positive characteristics of mathematics. In this regard, we were able to confirm examples of various problems that students made. In the future, we would like to propose generalization by conducting research on students of various school ages.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.1
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• pp.121-139
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• 2011

This study conducted experimental problem posing activities using real-life materials. This study investigated the changes on students' mathematical thoughts and attitudes through the activities. This study is conducted via participation of students in a 5th grade class of N elementary school located in Daegu city. As a qualitative case study, this study focused on processes of problem posing rather than results. The problems applying new situations appear, and the used mathematical terms, units, and figures became more practical. The numbers of problems made are increased gradually, and more complex conditions are added as activities are performed. Most of the students revealed interests about problem making activities.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.701-722
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• 2010

Students have to investigate, experiment and inquire using the manipulative materials and real-world thing for studying Geometry. Manipulative materials activities encourage to understand mathematical concept and connection of symbol. Experiment activities using the computer focused the student's intuitive and inquisitive activities because of visualization of an abstract mathematics concept. This study developed a workbook through the use of manipulative materials and computer for operating and experimenting, and suggested a method for inquiry of geometrical properties and proved an effect. Manipulative materials-experiment activities was proven effective to middle level and lower level students in understanding the geometrical properties, and was proven effective to high level and lower level students when it comes to mathematical communication ability. When students operate, at first, they have to know about the feature and information of the materials, and the teacher has to make an elaborate plan and encourages the students to discuss about this.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.41-58
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• 1998

In this paper, we designed an open class teaching model in level-based team arrangements. In this way, teaching lesson plans were newly developed in order to teach students in open classroom environments. Both teachers and students required enough time to be acquainted with the new approach. However, empirical data analyses of mid-term and final examinations as well as survey data mathematical achievements indicated that most of the students have shown interests in mathematical activities and confidences on their mathematical abilities. Furthermore, there were few students who seemed to be isolated from mathematical activities. In particular, most students didn't seem to get lower grades than expected from other teachers who hesitated to apply the new model.

• Korean Journal of Child Studies
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• v.29 no.1
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• pp.15-32
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• 2008

The logical and mathematical thinking of 1- to 3-year-olds was studied by age groups at 6 month intervals; logical-mathematical thinking was examined by the two physical knowledge activities of cylinder rolling and making a slope. Results showed that in their early 1st year infants failed in both tasks. Infants in their late 2nd year showed understanding of 'rolling things' and 'non-rolling things' by comparing cylinders and cubes in the cylinder rolling activity and they showed 'spatial inference' by adjusting the position and direction of the cylinder so that the cylinder could roll properly and by adjusting the board on a block in the slope making activity. Three-year-old children rolled a cylinder and made a slope without difficulty.