• The Mathematical Education
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• v.59 no.1
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• pp.81-99
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• 2020

This study examined the types of abduction and the thinking strategies by the mathematics problems posed by students. Four students who were 2nd graders in middle school participated in problem posing on four tasks that were given, and the problems that they posed were classified into equivalence problem, isomorphic problem, and similar problem. The type of abduction appeared were different depending on the type of problems that students posed. In case of equivalence problem, the given condition of the problems was recognized as object for posing problems and it was the manipulative abduction. In isomorphic problem and similar problem, manipulative abduction, theoretical abduction, and creative abduction were all manifested, and creative abduction was manifested more in similar problem than in isomorphic problem. Thinking strategies employed at abduction were examined in order to find out what rules were presumed by students across problem posing activity. Seven types of thinking strategies were identified as having been used on rule inference by manipulative selective abduction. Three types of knowledge were used on rule inference by theoretical selective abduction. Three types of thinking strategies were used on rule inference by creative abduction.

• Journal of the Korean Society of Earth Science Education
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• v.5 no.1
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• pp.60-67
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• 2012

The purpose of this study is to find out the effect of hypothesis formulations using abduction on science processing skills and the creative thinking activities. As the subject, 2 classes in the $6^{th}$ grade of B elementary school located in Busan were selected. Through the pre/post inspection design between experiment and comparison class, the units of science courses in the second semester of $6^{th}$ grade '1. A change in the weather' and '2. Various gases' were applied. The results were as follows: Firstly, the test on science processing skills showed that there was not statistic meaningful differences between the two groups. And, in the sub-parts, there was not statistic meaningful differences between the two groups. Secondly, it was observed that it would have a meaningful effect to improve the creative thinking activities of students who performed hypothesis formulation using abduction. Especially, through this, the experimental class gave a positive effect on the 'Fluency' and 'Elaboration', one of lower categories of the creative activities. The results of 'Flexibility' and 'Originality' in the experimental class were higher than those of students in the comparative class. However, according to statistical analysis, this result is meaningless. Thirdly, on the survey about the hypothesis formulation using abduction, many students thought that this learning method was very interesting and helpful to study science. In addition, it was observed that the ability to use abduct thinking was improved more than ever before.

• Journal of The Korean Association For Science Education
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• v.26 no.4
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• pp.546-558
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• 2006

The purpose of this study was to identify heuristically how abduction was used in a context of solving an earth-environmental problem. Thirty two groups of participants with different institutional backgrounds, i,e., inservice earth science teachers, preservice science teachers, and high school students, solved an open-ended earth-environmental problem and produced group texts in which their ways of solving the problem were written, The inferential processes in the texts were rearranged according to the syllogistic form of abduction and then analyzed iteratively so as to find thinking strategies used in the abductive reasoning. The result showed that abduction was employed in the process of solving the earth-environmental problem and that several thinking strategies were used for inferring rules from which abductive conclusions were drawn. The strategies found included data reconstruction, chained abduction, adapting novel information, model construction and manipulation, causal combination, elimination, case-based analogy, and existential strategy. It was suggested that abductive problems could be used to enhance students' thinking abilities and their understanding of the nature of earth science and earth-environmental problems.

• Journal of The Korean Association For Science Education
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• v.28 no.6
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• pp.507-518
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• 2008

The purpose of this study was to find out the difficulties of teaching the chapter on 'ight', experience of learning, teaching methods, and thinking types of 10 science teachers of the master's course in chemistry education. Discussion course for abduction thinking was carried out during 12 hours after the interview. Data were collected from individual interviews of 4 teachers among the 10 subjects and from the reports of the science teachers after the discussion course. From the data, it was found that most of the science teachers had suffered difficulty in teaching the chapter on light before the discussion course. Most of them had tried to teach drawing the path of light, but there was little teaching effect. Their teaching methods were similar to the method of what they had learned. During the course, the teachers recognized they could not see the path of light directly, and it needed inferring from image. From the abduction thinking, the teachers recognized the meaning of image and gained concrete methods in teaching students.

• Archives of design research
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• v.14 no.3
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• pp.77-85
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• 2001

This paper focuses on the idea development as a creative thinking process for design innovation. The process of thinking has the thinking structures of abduction and transformation. After we had studied the design thought, we found a structure of a thinking system, and created a creative thinking model with this. Using job analysis, we examined the duster of design jobs, which form the design process, and verified the thinking model. The findings suggest that our idea development has the creative process not only of divergent thinking and convergent one, but also of transformation in design. In same time, the design thinking shows their pattern of transition from abstract concept to concrete object. Between the design jobs, idea development shows higher difficulty than other jobs - marketing, product planning and follow-up. Combining the D-T-C (Divergent-Transformation-Convergent) thinking with abstract-concrete thinking, we designed a DFD(data flow diagram) for an early model of computer mediated thinking system (CMTS). This has implications for design support.

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.323-345
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• 2015

This study examined the types of abduction appeared in the exploration activities of 'law of large numbers' in order to figure out relation between statistical reasoning and abduction. When the classroom discourse of students was analyzed by Peirce's abduction, Eco's abduction type and Toulmin's argument pattern, students used overcoded abduction the most in the discourse of abduction. However, there composed a low percent of undercoded abduction leading to various thinking, and creative abduction used to make new principles or theories. By the CAS calculators used in the process of reasoning, students were provided with empirical context to understand the concept of abstract probability, through which they actively participated in the argumentation centered on the reasoning. As a result, it was found that not only to understand the abduction, but to build statistical context with tools in the learning of statistical reasoning is important.

• Lingua Humanitatis
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• v.1 no.1
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• pp.13-31
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• 2001

This essay seeks new possibilities in experimental thinking and to find ways in which philosophy can aid humanistic imagination. In emphasizing logical precision, philosophy has so far ignored the role of imagination in philosophical logic and limited itself to deductive logic. Despite the obvious fact that no degree of logical precision can fully account for, nor provide complete expression for, the vast range of human thought, other modes of thinking have suffered in the shadow of deductive logic. But these non-deductive models of thinking can in many cases better explain the emotive, aesthetic logic of the humanities. The kinds of models (deductive and non-deductive) in humanistic thinking include dialectic, abductive, analogic, pragmatic, inductive, and deductive logic. Each mode of logical thinking may be assigned a color that represents its emotive characteristics: red for dialectics (opposition): blue for abduction (transcendence); yellow for analogy (flexibility); green for pragmatics (peace); violet/purple for induction (fantasy); and finally orange for deduction (trust). And each mode can also be keyed to major areas in humanistic thought, making up the following connections: dialectic-red-history; abduction-blue-literature; analogy-yellow-philosophy ; pragmatics-green-religion ; induction-violet/purple-arts; and deduction-orange-science. These connections serve to illustrate the interrelationship between emotion and intelligence, leading us toward considerations of emotional intelligence and intelligent emotion. The former is increasingly gaining attention, as the effect of 'mood space' on intelligence is being scrutinized. That the rate of suicide among mathematicians is very high points to the need for careful study of the reverse relationship between emotion and intelligence, intelligent emotion. The need for the latter is all the more pressing, as the emergence of new technology is allowing, even forcing, us more and more to experience the world intellectually (i.e., sans emotive experience) through a new virtual space called cyberspace.

• Journal of The Korean Association For Science Education
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• v.25 no.5
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• pp.610-623
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• 2005

This was a theoretical study of which the goal was to provide a foundation for developing and implementing earth science inquiry activities based on abduction as a scientific inquiry method. Through a review of relevant literature, the study examined the nature of earth science in terms of the goals of earth science inquiry and the characteristics of what is investigated in earth science. It also explored the forms and meanings of abduction, thinking strategies used in the abductive inference, and the abductive inquiry model. Abduction is the process of inferring certain rules (e.g., scientific facts, principles, laws) and providing explanatory statements or hypotheses in order to explain some phenomena. This method was found to be well-suited to the earth science inquiry which studies the causes and processes of natural phenomena in the earth and space environment. Abduction has the nature of ampliative, selective, evaluative, and creative inference, and several thinking strategies, including reconstruction of data, heuristic generalization, analogy, existential, conceptual combination, and elimination strategies, are employed for inferring rules and suggesting hypotheses. This study found the abductive inquiry model to be adaptable to earth science classrooms, and it is therefore suggested that earth science instructions should be based on the abductive method and that research work concerning the abductive inquiry in the classroom should follow.

• Journal of Educational Research in Mathematics
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• v.26 no.1
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• pp.1-22
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• 2016

This study aims to design an exemplification task to facilitate the students' creative thinking, and to investigate mathematical creativity which emerges from exemplification. In particular, we aim to identify the ways to design exemplification tasks which encourage creative thinking, and characterize mathematical creativity fostered by exemplification. The findings showed that the students' creative thinking related to fluency, flexibility, elaboration, and originality emerged through exemplification.

• Journal of The Korean Association For Science Education
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• v.27 no.9
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• pp.818-831
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• 2007

Recognizing the importance of abductive inquiry in Earth science, some theoretical approaches that deploy abduction have been researched. And, it is necessary that the abductive inquiry in a geological field excursion as a vivid locale of Earth science inquiry should be researched. We developed a geological field trip based on the abductive learning model, and investigated students' abductive inference, thinking strategies used in those inferences, and the impact of a teacher's pedagogical intervention on students' abductive inference. Results showed that students, during the field excursion, could accomplish abductive inference about rock identification, process of different rock generation, joints generation in metamorpa?ic rocks, and terrains at the field trip area. They also used various thinking strategies in finding appropriate rules to construe the facts observed at outcrops. This means that it is significant for the enhancement of abductive reasoning skills that students experience such inquiries as scientists do. In addition, a teacher's pedagogical interventions didn't ensure the content of students' inference while they helped students perform abductive reasoning and guided their use of specific thinking strategies. Students had found reasoning rules to explain the 01: served facts from their wrong prior knowledge. Therefore, during a geological field excursion, teachers need to provide students with proper background knowledge and information in order that students can reason rues for persuasive abductive inference, and construe the geological features of the field trip area by the establishment of appropriate hypotheses.