• Journal of Educational Research in Mathematics
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• v.27 no.1
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• pp.51-67
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• 2017

Analogical reasoning is a mathematically useful way of thinking. By analogy reasoning, students can improve problem solving, inductive reasoning, heuristic methods and creativity. The purpose of this study is to analyze the analogical reasoning of preservice mathematics teachers while constructing quadratic curves defined by eccentricity. To do this, we produced tasks and 28 preservice mathematics teachers solved. The result findings are as follows. First, students could not solve a target problem because of the absence of the mathematical knowledge of the base problem. Second, although student could solve a base problem, students could not solve a target problem because of the absence of the mathematical knowledge of the target problem which corresponded the mathematical knowledge of the base problem. Third, the various solutions of the base problem helped the students solve the target problem. Fourth, students used an algebraic method to construct a quadratic curve. Fifth, the analysis method and potential similarity helped the students solve the target problem.

• Journal of the Korean Institute of Landscape Architecture
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• v.39 no.1
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• pp.11-21
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• 2011

In this paper, in order to select specialist butterfly species that inhabit Haneul and Noeul Parks, previously landfill areas, we verified the reciprocal relationships between nectar plants and butterflies. While we will design the butterfly habitats, this paper will provide the foundation data for selecting the plants. The completed survey indicated that there were a total of 5 families, 23 species and 1,129 individuals. Butterflies of the main action were feeding on nectar, and such behavior was 36% of the total actions. Therefore, these parks play an important role in butterflies feeding on nectar. The correlation between butterflies and the nectar plants' color was not significant; Therefore, it is not necessary to consider flower color when choosing plants to attract the butterflies. In addition, butterflies prefer naturalized plants for feeding on nectar. Thus, when creating butterfly habitats, there is no use in attracting the butterflies by classifying the naturalized plants and native plants. However, if some areas that are need to plant native plants such as Inkigofera pseudo-tinctoria, Lespedeza bicolor, Aster koraiensis make use it, there could be taken an advantage to attract the butterflies. According to the algebraic curve model of curve estimation regression analysis, we were able to classify the generalist species and specialist species by regression analysis. As a result, Colias erate, Artogeia rapae and Parnara guttata were classified as generalist species, where as Rapala caerulea, Pieris melete, Zizera maha and Celastrina argiolus were classified as specialist species. Rapala caerulea prefers hills and forest for its habitat; therefore, it is clearly distinct from Pieris melete, Zizera maha and Celastrina argiolus which prefer grassland for habitats. These results show that Rapala caerulea is high conservation value in a landfill area where is developing ecological succession from grasslands to wood lands. In conclusion, these research are able to contribute to select the target species and suitable species that consider a singularity between butterflies and nectar plants, when we are creating the butterfly habitats, moreover these research will contribute to maintain a stable habitats.