• School Mathematics
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• v.18 no.1
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• pp.159-173
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• 2016

In real educational field, there are cases that concrete problematic situations are introduced after abstract concepts are taught on the contrary to process that abstract from concrete contexts. In other words, there are cases that abstract knowledge has to be concreted. Freudenthal expresses this situation to antidogmatical inversion and indicates negative opinion. However, it is open to doubt that every class situation can proceed to abstract that begins from concrete situations or concrete materials. This study has done a comparative analysis in difference of mathematical thinking between a process that builds abstract context after being abstracted from concrete materials and that concretes abstract concepts to concrete situations and attempts to examine educational implication. For this, this study analyzed the mathematical thinking in the abstract process of concrete materials by manipulating AiC analysis tools. Based on the AiC analysis tools, this study analyzed mathematical thinking in the concrete process of abstract concept by using the way this researcher came up with. This study results that these two processes have opposite learning flow each other and significant mathematical thinking can be induced from concrete process of abstract knowledge as well as abstraction of concrete materials.

• School Mathematics
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• v.12 no.4
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• pp.563-584
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• 2010

This study is aimed at analysing the mathematical thinking processes based on image by the mathematically gifted. For this, the 'Splitting a Tetrahedron' Task was used and mathematical thinking of the two middle school students were investigated. One of them deduced how many tetrahedral and octahedral were there when a tetrahedra was splitted by the surfaces which were parallel to each face of the tetrahedra without using any physical material. The other one solved the task using physical material and invented new images. A concrete image, indexical image and symbolic image were founded and the various roles of images could be confirmed.

• School Mathematics
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• v.10 no.1
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• pp.63-78
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• 2008

This research studied the role of images between visual thinking and analytic thinking to contribute to the ongoing discussion of visual thinking and analytic thinking and images in mathematics education. In this study, we investigated the thinking processes of mathematically gifted students who solved tasks generalizing patterns and we analyzed how images affected problem solving. We found that the students constructed concrete images of each cases and dynamic images and pattern images from transforming the concrete images. In addition, we investigated how images were constructed and transformed and what were the roles of images between visual thinking and analytic thinking. The results showed that images were constructed, transformed, and sophisticated through interaction of visual thinking and analytic thinking. And we could identify that images played central roles in moving from visual thinking to analytic thinking and from analytic thinking to visual thinking.

• Journal of the Korean Academy of Child and Adolescent Psychiatry
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• v.10 no.2
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• pp.186-194
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• 1999

Objective：This study was conducted to examine the Draw-A-Person test as a non-verbal indicator of concrete and abstract thinking. Method：Thirty child-psychiatric children and 27 normal children were individually assessed with Draw-A-person Test and KEDI-WISC, and the scores were compared between similarity test and DAP. Results：The results showed significant differences between the groups. In clinical group, there were significant correlations with DAP scores and similarity test scores, especially abstract scores on DAP were highly correlated with similarity test scores. Results indicate characteristics of abstract thinking may be more discernable on the DAP than concrete thinking in clinical group.

• Journal of Digital Convergence
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• v.16 no.2
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• pp.441-449
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• 2018

This study is to organize the manual for the safety accidents in campsite. For this, analyzing the types of safety accidents and reviewing the regulations of campsite. Through theoretical considerations, the problem was diagnosed and the elements of improvement were presented. Eventually, part of the Responsive and Preventative Behavior manuals were developed to organize 'Preparation Behavior Manual'. Especially, examples of safety accident prevention behavior manual were divided into: 1st, suffocation, 2nd, traffic accident, 3rd, fire, 4th, and electrical accident. "S.A.F.E.", An example, was created with the accident specific initials that were more frequently caused. Furthermore, it was emphasized that it is necessary to process of understood by the user. Subsequent studies recommended the study of cases, improvement of safety management indicators, and the specialization of campground manager and safety guard.

• Journal of Educational Research in Mathematics
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• v.24 no.3
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• pp.467-480
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• 2014

Concepts related to the fraction should be taught with formative thinking activities as well as concrete operational activities. Teaching improper fraction should follow the concept of fraction as a relation of two natural numbers. This concept is also important not to be skipped before teaching the fraction such as "4 is a third of 12". Mixed number should be taught as a sum of a natural number and a proper fraction. Fraction as a quotient of a division is a hard concept to be taught since it requires very high abstractive thinking process. Learning the transformation of division into multiplication of fractions should precede that of fraction as a quotient of a division.

• Journal of Digital Convergence
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• v.15 no.2
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• pp.155-163
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• 2017

South Korea has experienced various social problems during rapid economic development, and now attempts to address them through social economy and advanced technologies. This approach, however, requires comprehensive research on not only phenomenal issues but also their fundamental causes and regional/cultural contexts as Design Thinking Process does. This study aims to draw implications for applying Design Thinking Process into the entire process of solving social problems, from field research, idea refinement, and solution design. Limitations of Design Thinking-based social problem solving are also drawn through comparative analysis on various cases. In conclusion, the process of refining ideas and developing product/service can be utilized by social enterprises, ventures, NGOs, etc. as a guideline in addressing social problems.

• Archives of design research
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• v.13 no.1
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• pp.87-100
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• 2000

This thesis concentrates on modern design with understanding the ooncept of design thinking. Functionalism and exactness in design result from the project that modern design attempted to change everyday life with mechanical design language. There is thought to be convenient and profitable, to link a function and a need, to make something with building-up process, and to give judgement something by dualism in the other side. That thoughts were produced by not only transition of production system from by hand to by machine but also atmosphere of society that enables one to know himself as a member of modern age.

• Journal of The Korean Association For Science Education
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• v.25 no.7
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• pp.787-793
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• 2005

The purposes of this study were to investigate the development of probabilistic thinking in relation to the cognitive level of elementary school students and to analyze the effects of probability activities in Thinking Science(TS) program on the development of probabilistic thinking. 152 6th grade elementary school students compiled the sample group which was divided into an experimental group and a control group. Probability activities in TS program were used with the experimental group, while the normal curriculum was conducted with the control group. Both the experimental and control group were assessed with Science Reasoning Task II and a probabilistic thinking test before execution of this investigation and were post-tested with probabilistic thinking test after the project period was complete. Results of this study showed that the students in the concrete operational stage and transitional stage used subjective strategy together with quantitative strategy in probability problem-solving, and students in the early formal operational stage used quantitative strategy in probability problem-solving. It was also found that the higher the cognitive level of students, the higher the probabilistic thinking level. The probability activities of the TS program influenced the development of probabilistic thinking of elementary school students. Assessing the development of probabilistic thinking on the basis of the cognitive level found that the level of effectiveness was significantly higher for students in the early concrete operational stage and transitional stage than students in any other stage.

• Journal of The Korean Association For Science Education
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• v.24 no.2
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• pp.375-386
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• 2004

Creative thinking alone can not lead to scientific creativity. Scientific knowledge and scientific inquiry skills are needed for scientific creativity. Focused only on cognitive aspect, I suggested a cognitive model of scientific creativity (CMSC) consisting of 3 components: thinking for scientific creativity, scientific knowledge contents, and scientific inquiry skills. Recently, many researchers have emphasized the various thinking for creativity as well as divergent thinking. Therefore, I suggested three types of creative thinking - divergent thinking, convergent thinking, and associational thinking - and discussed its rationale. Based on this model, an example of activity material for the scientific creativity was suggested. In the further research, based on CMSC, various activity types related to scientific creativity and concrete learning materials for scientific creativity will be developed.