• School Mathematics
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• v.9 no.1
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• pp.99-117
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• 2007

In this paper it is discussed how children develop their logical reasoning beyond difficulties in the process of making sense of division with decimals in the classroom setting. When we consider the gap between mathematics at elementary and secondary levels, and given the logical nature of mathematics at the latter levels, it can be seen as important that the aspects of children's logical development in the upper grades in elementary school should be clarified. This study focuses on the teaching and learning of division with decimals in a 5th grade classroom, because it is well known to be difficult for children to understand the meaning of division with decimals. It is suggested that children begin to conceive division as the relationship between the equivalent expressions at the hypothetical-deductive level detached from the concrete one, and that children's explanation based on a reversibility of reciprocity are effective in overcoming the difficulties related to division with decimals. It enables children to conceive multiplication and division as a system of operations.

• Journal of The Korean Association For Science Education
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• v.20 no.2
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• pp.297-306
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• 2000

The purpose of this study was to examine the relationship among an achievement, a meaningful learning orientation and a reasoning ability. 149 third grade middle school students were tested. The achievement test was designed to measure students' interrelated understanding of genetics. A modified LPQ(Learning Process Questionnaires) was used to measure students' meaningful learning orientation. Students' reasoning ability were identified by the short version GALT(Group Assessment of Logical Thinking). Correlations between different variables were examined. Regression analyses were conducted to examine the predictive influence of meaningful learning orientation and reasoning ability on the achievement of students. And ANCOVA was used to identify the interaction of these variables on students' achievement. Students did not understand well enough the concepts of genetics. Meaningful learning orientation indicated a significant gender difference. Girls tend to do more meaningful learning than boys(p<.05). Many students(48.76%) were at the transitional cognitive level. Results of correlations indicated that students' attainment of meaningful understanding was significantly and positively related with a meaningful learning orientation and a reasoning ability. But there was no significant correlation between students' meaningful learning orientation and reasoning ability. Regression analyses indicated that learning orientation and reasoning ability were able to predict the achievement of students. They predicted better on solving genetics problem than understanding genetics problem. Results of ANCOVA showed that the test scores of genetics were significantly different according to not only learning orientation levels but also cognitive levels. But, there was no interaction between learning orientation and cognitive levels. Within the transitional and formal cognitive level, the meaningful learners performed significantly better than the rote learners on the test of genetics.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.5 no.1
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• pp.7-12
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• 2005

This paper deals with the fuzzy modeling for the complex and uncertain nonlinear systems, in which conventional and mathematical models may fail to give satisfactory results. Finally, we provide numerical examples to evaluate the feasibility and generality of the proposed method in this paper. The expert system which introduces fuzzy logic in order to process uncertainties is called fuzzy expert system. The fuzzy expert system, however, has a potential problem which may lead to inappropriate results due to the ignorance of some information by applying fuzzy logic in reasoning process in addition to the knowledge acquisition problem. In order to overcome these problems, We construct fuzzy inference network by extending the concept of reasoning network in this paper. In the fuzzy inference network, the propositions which form fuzzy rules are represented by nodes. And these nodes have the truth values representing the belief values of each proposition. The logical operators between propositions of rules are represented by links. And the traditional propagation rule is modified.

• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.927-941
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• 2013

In this paper, we investigate and analysis high school students' generalization of cosine rule using analogy, and we study teaching and learning methods improving students' analogical thinking ability to improve mathematical thinking process. When students can reproduce what they have learned through inductive reasoning process or analogical thinking process and when they can justify their own mathematical knowledge through logical inference or deductive reasoning process, they can truly internalize what they learn and have an ability to use it in various situations.

• English Language & Literature Teaching
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• v.15 no.4
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• pp.157-175
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• 2009

This paper offers a critical review of a newspaper argument regarding the problems of high school education assessment for university entrance examination system in the United Kingdom. The media account raises three sets of questioning to hold that the nation's long-standing A-levels have failed and is no longer viable as a high-stakes test. However, it is found that the writer's argumentations involving misleading conceptions can be deconstructed because of invalid reasoning and unreliable evidence. So, it is proposed that a reasonable solution to replace the discredited A-level exams should be to adopt an eclectic approach for assessing candidates' multiple capabilities; performance, potentiality and critical thinking skills. These criteria for component-oriented assessments are designed to measure their high school academic achievements and intellectual capacity for tertiary education; in the process of such measurement, critical-logical reasoning abilities for sound judgment and problem-solving tasks should be incorporated with the basic precondition that each university possesses its own discretion for the determination of adequate proportions to reflect each of the assessment outcomes. It is, therefore, expected that this critical review will inspire the readers to understand aspects of assessment as an educational field and to confirm how seriously they may be misguided by a distorted media argumentation without substantive background knowledge.

• Journal of The Korean Association of Information Education
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• v.15 no.3
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• pp.387-397
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• 2011

In order to analyze the change of student's logical thinking, in this study, we were develop the educational materials. This educational materials were used in algorithm class through educational programming language Scratch. Algorithms of education materials were selected by analysis of foreign ACM and domestic middle school curriculum. The developed educational materials were applied to 4th grade students of elementary school. In order to analyze the change of student's logical thinking, we were used GALT short version. Total logic and Combinational reasoning, in the experimental group students, were growing significantly.

• Korean Medical Education Review
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• v.19 no.2
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• pp.101-108
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• 2017

When participating in problem-based learning (PBL), it is important for medical students to generate claims and provide justifications for their claims in small group discussions. This study aimed to investigate the effect of argumentation instruction on medical student learning experiences with PBL. A total of one hundred first-year preclinical students from Inje University College of Medicine, who had attended argumentation instruction, participated in this study. All of the participants completed a 5-point Likert scale questionnaire regarding their learning experiences with PBL, before and after the argumentation instruction. The questionnaire comprised 22 items with eight subcategories: argumentation activity, reflection, integration of basic and clinical science, identification of lack of knowledge, logical thinking, self-directed study, communication, and attitude toward discussion. The collected data were analyzed through a paired-sample t-test. The results of this study found that the argumentation instruction promoted the preclinical students' experiences with argumentation activities, reflection, an integration of basic and clinical science, the identification of their lack of knowledge, logical thinking, and self-directed study, and it increased positive attitudes toward group discussion. The findings suggest argumentation instruction can enhance medical student group discussions and help students achieve the objectives of PBL, including acquisition of basic and clinical science knowledge and development of clinical reasoning and self-directed learning abilities, which can highlight the meaningful learning experiences students have with PBL.

• Journal of Fisheries and Marine Sciences Education
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• v.25 no.1
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• pp.260-273
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• 2013

This study aims to reflect experts' opinions in analyzing a design thinking as foundation of multidisciplinary education. For this purpose, a delphi survey was conducted with 20 experts in three sessions from May 1 to June 25, 2012. To analyze the collected data, descriptive statistics, including frequency, percentage, the mean, and standard deviation were implemented, and internal reliability test on the survey instrument was carried out for statistical processing. The main results are as follows : First, the delphi analysis on intuitive thinking of design thinking suggested 7 items(to pursue the possibility of outside, to pursue the possibility of applying new forms of technology, content planning, facing a complex real-world phenomena etc.). Second, the delphi analysis on logical thinking of design thinking suggested 7 items(executed repeatedly, reasoning and verification, artificial intelligence, a decision support system etc.) Third, the delphi analysis on subjective thinking of design thinking suggested 9 items(user experience measuring, user satisfaction ratings, user requirements analysis, user interface design, behavioral responses of the human etc.). Fourth, the delphi analysis on objective information of design thinking suggested 8 items(information management system, simulation, production process, information exchange and sharing etc.). According to the results of the delphi analysis, design thinking can be seen as the foundation of multidisciplinary education. Suggestions were made for discussion about the main results and further researches.

• The Mathematical Education
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• v.40 no.2
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• pp.317-333
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• 2001

The equations of figures given by rectangular coordinates are used to look into the properties of them, which are very restricted in examining them in the school mathematics. Therefore, it is quite natural to consider the figures in terms of parameters without restriction to coordinates and also, it is possible for the students to analyze them. Thus, the visualization of figures is important for students in mathematics education. In particular, the teaching-learning methods using computers make loose the difficulties of geometry education, and from the viewpoint that various abstract figures can be visualized and that can be obtained by means of this visualization the learning of figures can be accomplished through the direct experience or control. This study is intended to present concretely the aim and its utility to visualize figures represented as parameters with Mathematics. In this paper, we introduce a new teaching-learning method of figures represented by parameters using Mathematica so that the learners establish themselves their knowledge obtained through their search, investigation, supposition and they accomplish the positive transition to advanced learning. So the leasers extend their ability of sensuous intuition to their ability of logical reasoning through their logical intuition. Consequently they can develop the ability of thinking mathematically, so many natural phenomena and physical ones.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.401-420
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• 2010

The purpose of this research is to find out effectiveness of geometry learning through spatial reasoning activities on mathematical problem solving ability and mathematical attitude. In order to proof this research problem, the controlled experiment was done on two groups of 6th graders in N elementary school; one group went through the geometry learning style through spatial reasoning activities, and the other group went through the general geometry learning style. As a result, the experimental group and the comparing group on mathematical problem solving ability have statistically meaningful difference. However, the experimental group and the comparing group have not statistically meaningful difference on mathematical attitude. But the mathematical attitude in the experimental group has improved clearly after all the process of experiment. With these results we came up with this conclusion. First, the geometry learning through spatial reasoning activities enhances the ability of analyzing, spatial sensibility and logical ability, which is effective in increasing the mathematical problem solving ability. Second, the geometry learning through spatial reasoning activities enhances confidence in problem solving and an interest in mathematics, which has a positive influence on the mathematical attitude.