• School Mathematics
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• v.14 no.1
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• pp.1-28
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• 2012

The purpose of the study are to identify factors of mathematical visualization through the thirty students of highschool 2nd year and to investigate how each visualization factor is used in mathematics problem solving process. Specially, this study performed the qualitative case study in terms of the five of thirty students to obtain the high grade in visuality assessment. As a result of the analysis, visualization factors were categorized into mental images, external representation, transformation or operation of images, and spacial visualization abilities. Also, external representation, transformation or operation of images, and spacial visualization abilities were subdivided more specifically.

• Proceedings of the KSRS Conference
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• 2003.11a
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• pp.795-797
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• 2003

GIS can supply large quantitiy of useful information about spacial relationship, consequently there exists great potential of GIS support ing for decision making strategies related to urban design and environmental planning. In different discipline areas there exist different information representation methods and considerations having direct or indirect relationship with spacial information, how to use GIS as a tool for facilitating the work in other discipline field, there are two basic questions crucial to the success of these interdiscipline applications. The first one is interoperatability among GIS and other applications, the second is the paradigm difference between GIS and other domain field regarding problem solving. In this paper, we investigate the spatial information of the urban environment provided in the analyses of the urban visual sustain ability, urban daylighting environment and urban wind environment. We also discuss the challenges and opportunities for cross-disciplinary GIS application regarding the aspect of Information Collection, Information Generation, Information Analysis and Information Visualization.

• Journal of the Korean School Mathematics Society
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• v.12 no.1
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• pp.71-97
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• 2009

The study was to develop the instruments including instructional materials and test items for enhancing spatial ability. A mixed methodology was chosen to achieve the purpose of the study. To find students' achievement, 5 units of instructional materials were developed through the qualitative method and test items were tested through the quantitative method with 152 of the 8th-graders. The strategies to develop the instructional materials were: firstly to focus on mathematics properties for developing spacial ability; secondly, to allow students to follow hierarchical procedure o[ mathematical properties from 2-d to 3-d; thirdly, to recognize what the manipulative can do and can not; and fourthly, to guide students tn develop the process oriented thought, not the result oriented thought. For the test, 25 items were analyzed to assess students' achievement using validity, difficulty, and discriminator.