• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.517-534
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• 2012

As observing the learning of middle school mathematics students for three years, I examined the relationship between students' procedural knowledge and their conceptual knowledge as they develop those knowledges in the rational number domain. In particular, I explored the implications of an unbalanced development in a student's conceptual knowledge and procedural knowledge by considering two conditions: (a) the case of a student who has relatively strong conceptual knowledge and weak procedural knowledge, and (b) the case of a student who has relatively weak conceptual knowledge and strong procedural knowledge. Results suggest that conceptual knowledge and procedural knowledge are most productive when they develop in a balanced fashion (i.e., closely iterative or simultaneously), which calls into question the assumption that one has primacy over the other.

• Research in Mathematical Education
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• v.7 no.2
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• pp.91-99
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• 2003

Isik & K$_1$l$_1$c (1998: Mathematics Education and its Appraising in the Primary School Teacher Certificate) found that many prospective mathematics teachers for primary schools who attended at newly established certificate programs made significant misconception on mathematics education because they were not graduates of education faculties. The levels of conceptual knowledge and procedural knowledge of students from a secondary school in Erzurum, Turkey were investigated in order to reveal how serious misconception the teachers have been made so far. The conceptual knowledge is very important to students, however in this research, it was found that procedural knowledge was much more important than conceptual knowledge.

• Education of Primary School Mathematics
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• v.26 no.4
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• pp.349-368
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• 2023

The purpose of this study is to explore ways for students to connect conceptual and procedural knowledge in mathematical modeling lessons. Accordingly, we selected the greatest common divisor among the learning contents in which elementary school students have difficulties connecting conceptual and procedural knowledge. A mathematical modeling lesson was designed and implemented to solve problems related to the greatest common divisor while connecting conceptual and procedural knowledge. As a result of the analysis, it was found that the mathematical modeling lesson had positive effects on students solving problems by connecting conceptual and procedural knowledge. In addition, through actual class application, a teaching and learning plan was derived to meaningfully connect conceptual and procedural knowledge in mathematical modeling lessons.

• Korean Journal of Mathematics
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• v.27 no.3
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• pp.743-765
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• 2019

Conceptual and procedural knowledge of integration is necessary not only in calculus but also in real analysis, complex analysis, and differential geometry. However, students show not only focused understanding of procedural knowledge but also limited understanding on conceptual knowledge of integration. So they are good at computation but don't recognize link between several concepts. In particular, Riemann sum is helpful in solving applied problem, but students are poor at understanding structure of Riemann sum. In this study, we try to investigate understanding on conceptual and procedural knowledge of integration and to analyze errors. Conducting experimental class of Riemann sum, we investigate the understanding of Riemann sum structure and so present the implications about improvement of integration teaching.

• Research in Mathematical Education
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• v.8 no.2
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• pp.81-93
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• 2004

This study investigated three preservice teachers' mathematical problem solving among hand-in-write-ups and final projects for each subject. All participants' activities and computer explorations were observed and video taped. If it was possible, an open-ended individual interview was performed before, during, and after each exploration. The method of data collection was observation, interviewing, field notes, students' written assignments, computer works, and audio and videotapes of preservice teachers' mathematical problem solving activities. At the beginning of the mathematical problem solving activities, all participants did not have strong procedural and conceptual knowledge of the graph, making a model by using data, and general concept of a sine function, but they built strong procedural and conceptual knowledge and connected them appropriately through mathematical problem solving activities by using the computer technology.

• Research in Mathematical Education
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• v.5 no.1
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• pp.13-24
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• 2001

Using computer technology in teaching school mathematics creates new instructional environments. The emphases on the use of computer technology in the classrooms and in particular the use of computer-based exploration as a context of mathematics instruction have been reflected in the recommendation of the NCTM (Curriculum and Evaluation Standards for School Mathematics, 1989). Although the power of using computer technology in the exploration of mathematical problems has been recognized and stressed by many educators, we do not have many research studies on mathematics in computer-based explorations. Especially research has failed to clarify how computer technology can contribute to the construction of procedural and conceptual knowledge of mathematics. Up to now most researches on procedural and conceptual knowledge in computer environments have only focused on classifying programming languages which program language has more random access and rich interrelationship characteristic in relation to conceptual knowledge in humans, and which computer language has more characteristic flavor of procedural knowledge. How computer-based explorations affect the knowledge construction of mathematics, therefore, emerges as an issue of research on teacher education program for theoretical framework. This situation leads to do research on the effectiveness of using computer explorations in pre-service teacher education in terms of procedural and conceptual knowledge construction.

• Proceedings of the Korea Contents Association Conference
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• 2004.11a
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• pp.564-569
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• 2004

Most existing ontologies are suited for static knowledge, so they lack capability of representing procedural knowledge which is essential for an agent's action control or inference in the virtual world. Also they are not prepared to describe objects beyond their fixed ranges of domains as designed. In this paper we propose cyber-microcosm ontology (CMO) which augments procedural aspects and expressive power for multiple forms rather than fixed form as in conventional ontologies. The resulting ontology will provide an enhanced knowledge structure to capture procedural aspects of agents' actions and to facilitate their associated inferencing. The procedural aspects of the CMO are designed based on action frame formed according to diverse elements. They are elaborated in terms of various qualifiers and quantifiers to reflect statistical natures over time and instances.

• Journal of Korean Elementary Science Education
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• v.30 no.2
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• pp.213-231
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• 2011

The purpose of this study was to investigate knowledge types which the elementary science gifted students would use when solving a science problem, and to examine characteristics and types that were shown in the science problem solving process. For this study, 39 fifth graders and 38 sixth graders from Institute of Education for the Gifted Science Class were sampled in one National University of Education. The results of this study were as follows. First, for science problem solving, the elementary science gifted students used procedural knowledge and declarative knowledge at the same time, and procedural knowledge was more frequently used than declarative knowledge. Second, as for the characteristics in the understanding step of solving science problems, students tend to exactly figure out questions' given conditions and what to seek. In planning and solving stage, most of them used 3~4 different problem solving methods and strategies for solving. In evaluating stage, they mostly re-examined problem solving process for once or twice. Also, they did not correct the answer and had high confidence in their answers. Third, good solvers had used more complete or partially applied procedural knowledge and proper declarative knowledge than poor solvers. In the problem solving process, good solvers had more accurate problem-understanding and successful problem solving strategies. From characteristics shown in the good solvers' problem solving process, it is confirmed that the education program for science gifted students needs both studying on process of acquiring declarative knowledge and studying procedural knowledge for interpreting new situation, solving problem and deducting. In addition, in problem-understanding stage, it is required to develop divided and gradual programs for interpreting and symbolizing the problem, and for increasing the understanding.

• Journal of Korea Technology Innovation Society
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• v.21 no.3
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• pp.1021-1049
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• 2018

The purpose of this study is to examine whether organizational justice, including procedural justice and distributive justice, improve employees' innovative behavior through work engagement and knowledge sharing. In addition, it was conducted to investigate whether work engagement and knowledge sharing indirectly affect the relationship between organizational justice and innovative behavior. For the hypothesis test of this study, Hayes (2018) PROCESS Macro was used. Result of the analysis shows that procedural justice, work engagement, and knowledge sharing influenced innovative behavior. The constructs influencing work engagement were procedural justice, distributive justice, knowledge sharing. Also, procedural justice and work engagement were constructs that affected knowledge sharing. In the relationship between procedural justice and innovative behavior, the indirect effect was confirmed in all paths. In the relationship between the distributive justice and the innovative behavior, It was confirmed that there is not the indirect effect only in the path via knowledge sharing. he indirect effect was confirmed in all paths that did not acquire knowledge sharing. In addition, through the PROCESS Macro analysis, we examined the magnitude of the indirect effect of various paths between mediators. The results show that organizational justice can have the greatest effect on innovative behavior through work engagement. The weakness of respondents control by SNS survey is the major limitation of this study. In the future, Further research is needed depending on the nature of the organization, such as the analysis of differences between various industries.

• Journal of Korean Institute of Industrial Engineers
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• v.22 no.3
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• pp.399-412
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• 1996

With respect to the effects of types of knowledge on human diagnostic performance, the results of several experiments claimed that training with procedural knowledge is more effective than training with principle knowledge. However, more useful results would be attained by investigating when and how the principles of system dynamics is valuable for diagnosis. Accordingly, we conducted an experiment to reevaluate the value of principle knowledge in two problem situations. A simulator system, named DLD, to diagnose an electronic device was created. It is a context-free digital logic circuit which includes forty-one gates of three basic types. The experiment investigated the effects of principle knowledge over common procedural knowledge. The experimental results showed that the effects of principle knowledge is dependent on the complexity of diagnostic situations. This adds up on experimental evidence against the presumed ineffectiveness of principle knowledge and forward reasoning in fault diagnosis. The results also suggest the source of the usefulness of principle knowledge.