• Korean Journal of Child Studies
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• v.26 no.6
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• pp.161-171
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• 2005

In Experiment 1, 4- and 5-year-olds were shown either continuous(i.e., pizza) or discontinuous Stimuli(i.e., biscuit) by the experimenter. After a proportion(e.g., 2/8, 4/8, or 6/8) was removed, children were asked to remove an equivalent proportion. Whereas 4-year-olds proportional reasoning was correct only when they shared the same stimulus with the experimenter, 5-year-olds reasoned correctly regardless whether or not they shared the stimulus with the experimenter. In Experiment 2, where the discontinuous stimulus was changed, 4-year-olds also made correct proportional reasoning even when their stimulus was different from the experimenter's. Contrary to other studies, quantity didn't affect children's proportional reasoning except the proportion 1/4, where problems with discontinuous quantity were solved more successfully than problems with continuous quantity.

• Communications of Mathematical Education
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• v.18 no.2 s.19
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• pp.79-92
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• 2004

This paper offers an analysis of how students reasoned with the dynamic parameter time to support their mathematical activity and deepen their understandings of mathematical concepts. This mathematical thinking occurred as they participated in a differential equations class before, during, and instruction on solutions to linear systems of differential equations. Students participated in the following identified mathematical practices related to parametric reasoning during this time period: reasoning simultaneously in a qualitative and quantitative manner, reasoning by moving from discrete to continuous imaging of time, and reasoning by imagining the motion. Examples of this reasoning are provided in this report. Implications of this research include the possibility that instructional activities can build on this reasoning to help students learn about the mathematics of change at the middle school, high school, and the university.

• Journal of Korean Elementary Science Education
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• v.17 no.2
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• pp.23-31
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• 1998

The purpose of the present study was to investigate the development of elementary school student's reasoning strategies used in proportional tasks. Three hundred and ninety elementary students were sampled to investigate their reasoning strategies used in Pouring Water Tasks. Results showed that 4 percentage of students used proportional reasoning strategy. By the way, about 80 % of students used qualitative guess or additive strategies to solve proportion tasks. Further, about fifth-grade or 11-year-old students began to use proportional reasoning strategy. Also, female and malt students' development of reasoning strategies improved from 1st grade across 5th grade and from 6-year-old across 11-year-old. However, female did not show the improvement of strategy development after 5th-grade or 11-year-old. However, male students showed a continuous improvement after the grade or age. In addition, students showed developmental patterns of spurts and plateau, ra thor than a linear developmental pattern. The present study also discussed educational implications of this findings in school curriculum.

• Education of Primary School Mathematics
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• v.21 no.1
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• pp.55-73
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• 2018

The purpose of this study is to investigate the effects of cognitive activity on cognitive activities that students imagine and cope with continuously changing quantitative changes in functional tasks represented by linguistic expressions, table of value, and geometric patterns, We identified covariational reasoning levels and investigated the characteristics of students' reasoning process according to the levels of covariational reasoning in the elementary quantitative problem situations. Participants were seven 4th grade elementary students using the questionnaires. The selected students were given study materials. We observed the students' activity sheets and conducted in-depth interviews. As a result of the study, the students' covariational reasoning level for two quantities that are continuously covaried was found to be five, and different reasoning process was shown in quantitative problem situations according to students' covariational reasoning levels. In particular, students with low covariational level had difficulty in grasping the two variables and solved the problem mainly by using the table of value, while the students with the level of chunky and smooth continuous covariation were different from those who considered the flow of time variables. Based on the results of the study, we suggested that various problems related with continuous covariation should be provided and the meanings of the tasks should be analyzed by the teachers.

• International conference on construction engineering and project management
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• 2005.10a
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• pp.1065-1069
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• 2005

The construction failures can be decreased through continuous improvement of construction process based upon the information of construction failures. Herein, the information of construction failures can be utilized as the key factor for identifying and enhancing various ineffective construction processes that can prevent failures. This research proposes a process model for the continuous improvement of construction processes by using construction failure information. Extensive reviews and analyses of literatures related to construction failures are performed to investigate its definition, type, cause, and lessons learned. This research adapts process modeling methodology and case-based reasoning for the development of the proposed CIMCP(continuous improvement model of construction process), and then suggests its framework that contains modules of case retrieval, case index, and case adaptation.

• The Mathematical Education
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• v.62 no.4
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• pp.473-490
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• 2023

Previous studies from domestic and abroad are accumulating information on how to reason students' continuous changes through teaching experiments. These studies deal with scenes in which students who make 'smooth reasoning' and 'chunky reasoning' construct mathematical results together in teaching experiments. However, in order to analyze their results in more detail, it is necessary to check what kind of results a student reasoning in a specific way constructs for the tasks of previous studies. According to the need for these studies, the researcher conducted a total of 14 teaching experiments on one first-year high school student who was found to make 'chunky reasoning'. In this study, it was possible to observe a scene in which a student who makes 'chunky reasoning' constructs an output similar to 'a mathematical result constructed by students with various reasoning methods(smooth reasnoning or chunky reasoning) in previous studies.' In particular, the student who participated in this study observed a consistent construction method of constructing the function of 'time-speed' from the function of 'time-distance'. The researcher expected that information on this student's distinctive construction methods would be helpful for subsequent studies.

• The Journal of Society for e-Business Studies
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• v.18 no.2
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• pp.1-26
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• 2013

Estimating levels of user trust is important for maintaining continuous use of e-commerce systems because trust alleviates user concerns about the invisibility of service providers or their reputation. Conventional trust estimation approaches such as policy-and reputationbased reasoning have focused on the experience of e-commerce systems at an early stage. However, only a few trust reasoning methods have considered the mature stage, which is more related to continuance intention. We propose a trust reasoning method dedicated to the mature stage of using e-commerce systems. In particular, a new method of unobtrusively estimating the degree of user intimacy is developed, because intimacy has been highly associated with trust as well as reputation. Our experiments show that the proposed method is valid and can be used in conjunction with reputation-based trust reasoning.

• Korean Journal of Construction Engineering and Management
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• v.6 no.1 s.23
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• pp.195-204
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• 2005

The construction failures can be decreased by continuously improving the construction process based upon the information of construction failures. Herein, the information of construction failures can be utilized as the key factor far identifying the ineffective process and providing the improved construction process that can prevent failures. The objective of this research is to suggest a model for improving construction process continuously by using the information of construction failures. An extended review and analysis of literatures related to the construction failure are performed to investigate the definition, type, cause, and lesson teamed of failure. This research also identifies that process modeling methodology and case-based reasoning are applicable to the construction process improvement, and then it suggests a framework of CIMCP(continuous improvement model of construction process based on the module of case-based reasoning such as case retrieval, case index, and case adaptation.

• School Mathematics
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• v.18 no.3
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• pp.457-478
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• 2016

The purpose of this study is to investigate middle school students' understanding and development of function graphs. We collected the data from the teaching experiment with two middle school students who had not yet received instruction on linear function in school. The students participated in a 15-day teaching experiment(Steffe, & Thompson, 2000). Each teaching episode lasted one or two hours. The students initially focused on numerical values rather than the overall relationship between the variables in functional situations. This study described meaning, role of and students' responses for the given tasks, which revealed the students' understanding and development of function graphs. Especially we analyzed students' responses based on their methods to solve the tasks, reasoning that derived from those methods, and their solutions. The results indicate that their continuous reasoning played a significant role in their understanding of function graphs.

• Journal of Korea Game Society
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• v.3 no.2
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• pp.64-70
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• 2003

Game play is a procedure of playing the game following the results of choices existing in the game. Such games are generally implemented not by certain rules and techniques like other designs but by abilities and experiences of game designers. In this paper we propose a design method of game play through possibility reasoning and distributions using elements of cognitive psychology which are 'a theory about problem solving' and 'a theory about reasoning and decision'. These two theories are very closely related to game play which has the procedure of solving problem of continuous choices and their results.