• Research in Mathematical Education
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• v.19 no.1
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• pp.61-79
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• 2015

This study discussed about how pseudo-thinking process actually occurs in the mind of the students, used Piaget's frame work of the assimilation and accommodation process. The data collection is conducted using Think-Out-Loud (TOL) method. The study reveals that pseudo thinking process of covariational reasoning occurs originally from incomplete assimilation, incomplete accommodation process or both. Based on this, three models of incomplete thinking structure constructions are established: (1) Deviated thinking structure, (2) Incomplete thinking structure on assimilation process, and (3) Incomplete thinking structure on accommodation process.

• Journal of Educational Research in Mathematics
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• v.17 no.1
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• pp.67-90
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• 2007

The purpose of this study is to understand students' thinking process in the algebra problem solving, on the base of the works of Vinner(1997a, 1997b). Thus, two middle school students were evaluated in this case study to examine how they think to solve algebra word problems. The following question was considered to analyze the thinking process from the similarity-based perspective by focusing on the process of solving algebra word problems; What is the relationship between similarity and the characteristics of thinking process at the time of successful and unsuccessful problem solving? The following results were obtained by analyzing the success or failure in problem solving based on the characteristics of thinking process and similarity composition. Successful problem solving can be based on pseudo-analytical thought and analytical thought. The former is the rule applied in the process of applying closed formulas that is constructed structural similarity not related with the situations described in the text. The latter means that control and correction occurred in all stages of problem solution. The knowledge needed for solutions was applied with the formulation of open-end formulas that is constructed structural similarity in which memory and modification with the related principles or concepts. In conclusion, the student's perception on the principles involved in a solution is very important in solving algebraic word problems.

• Journal of The Korean Association of Information Education
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• v.24 no.1
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• pp.117-129
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• 2020

The purpose of this paper is to explore ways to assess computational thinking from a formative perspective and to design a process for assessing programming learning using Python. Therefore, this study explored the computational thinking domain and analyzed research related to assessment design. Also, this study identified the areas of Python programming learning that beginners learn and the areas of computational thinking ability that can be obtained through Python learning. Through this, we designed an assessment method that provides feedback by analyzing syntax corresponding to computational thinking ability. Besides, self-assessment is possible through reflective thinking by using the flow-chart and pseudo-code to express ideas, and peer feedback is designed through code sharing and communication using community.

• Communications of Mathematical Education
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• v.27 no.4
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• pp.429-448
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• 2013

The aim of this study was to examine how analogical mapping articulation activity played a role in solving process in word problems. We analyzed the problem solving strategies and processes that the participating thirty-three 8th grade students employed when solving the problems through analogical mapping articulation activities, and also the characteristics of the thinking processes from the aspects of similarity. As a result, this study indicates that analogical mapping articulation activity could be helpful when the students solved similar word problems, although some of them gained correct answers through pseudo-analytic thinking. Not to have them use pseudo-analytic thinking, it might be necessary to help them recognize superficial similarity and difference among the problems and construct structural similarity to know the principle of solution associated with the problematic situations.

• Cross-Cultural Studies
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• v.29
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• pp.113-131
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• 2012

In our days, we live in the world of image and imagination. Now we think that the images and imaginations are no more selective but indispensable elements in our life. The status of imagination is dramatically changed since 20 century. Many philosophers like G. Bachelard, G. Durand, Paul Ricoeur, H. Corbin, G. Deleuze made great contributions and we think that the studies of imagination began since 20 century. But the change of the status of imagination was not made in one day. In the long history of human life, the imagination kept his own value, and never stopped to give his influence to the human mentalities. The concept of imagination was born from the Plato's notion of phantasia. Plato thinks that the phantasia is a kind of drawing capacity in mind in the process of recognition. But the image which phantasia makes is not real one but pseudo one. So it is necessary to banish those false images from our recognition. Aristotle thought phantasia as an afterimage of object of sense. The sense is always true, but the phantasia is very possible to be an error. After Plato and Aristotle, the notion of phantasia developed into that of imagination, but it was always a problem full of contradictions. According to G. Durand, we can say, in some sense, the history of western philosophy is a kind of struggle against the image and imagination. In Middle Age, the iconoclasm tried to exclude image from their religion. Thomas Aquinas tried to explain the image by the rationalistic christianisme. In 16-17C Galilei and Descartes solidified the exclusion of imagination from the philosophy in the name of science and reason. The empiricism and positivism was the final and the most conclusive philosophies which exclude the imagination definitively from the field of philosophy. But the imagination continued his influence in the field of art. In the age of Renaissance, the imagination found his way of liberal expression, and this trend was inherited to Baroque. From the middle of 17c many philosophical theories supported the imagination by many philosophers like J.-B. Dubos, Baumgarten, A. Becq, J.-J. Rousseau etc. The Romanticism was the first significant wave which made the imagination come forward in front the art. The romanticism broke the narrow frame of rationalism and expand human's view of the world to the cosmos. From the romanticism, the imagination became a faculty which expresses the unity of human and nature. That was impossible by the rational thinking of rationalism. The concept of new imagination made a new future of human, 'the imagining conscious' and this imagining conscious provided a solid base of next generation's symbolism and surrealism.