• Journal of Elementary Mathematics Education in Korea
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• v.22 no.3
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• pp.283-308
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• 2018

'Divisor and multiple' is the topic included both in the elementary and in the secondary mathematics curriculum, but there has been lack of research on it. It has been reported that students have a difficulty in understanding the meaning of the greatest common divisor (GCD) and the least common multiple (LCM), while they can find out GCD and LCM. Against the lack of research on how to overcome this difficulty, this study designed teaching methods with a model for visualization to emphasize the meanings of divisor and multiple in finding out GCD and LCM, and implemented the methods in one fourth grade classroom. A questionnaire was developed to explore students' solution methods and interviews with focused students were implemented. In addition, fourth-grade students' thinking was compared and contrasted with fifth-grade students who studied divisor and multiple with the current textbook. The results of this study showed that the teaching methods with a specific model for visualization had a positive impact on students' conceptual understanding of the process to find out GCD and LCM. As such, this study provides instructional implications on how to foster the meanings of finding out GCD and LCM at the elementary school.

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.733-767
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• 2005

During the past decades, there has been a fundamental change in the objectives and nature of mathematics education, as well as a shift in research paradigms. The changes in mathematics education emphasize learning mathematics from realistic situations, students' invention or construction solution procedures, and interaction with other students of the teacher. This shifted perspective has many similarities with the theoretical . perspective of Realistic Mathematics Education (RME) developed by Freudental. The RME theory focused the guide reinvention through mathematizing and takes into account students' informal solution strategies and interpretation through experientially real context problems. The heart of this reinvention process involves mathematizing activities in problem situations that are experientially real to students. It is important to note that reinvention in a collective, as well as individual activity, in which whole-class discussions centering on conjecture, explanation, and justification play a crucial role. The overall purpose of this study is to examine the developmental research efforts to adpat the instructional design perspective of RME to the teaching and learning of differential equation is collegiate mathematics education. Informed by the instructional design theory of RME and capitalizes on the potential technology to incorporate qualitative and numerical approaches, this study offers as approach for conceptualizing the learning and teaching of differential equation that is different from the traditional approach. Data were collected through participatory observation in a differential equations course at a university through a fall semester in 2003. All class sessions were video recorded and transcribed for later detailed analysis. Interviews were conducted systematically to probe the students' conceptual understanding and problem solving of differential equations. All the interviews were video recorded. In addition, students' works such as exams, journals and worksheets were collected for supplement the analysis of data from class observation and interview. Informed by the instructional design theory of RME, theoretical perspectives on emerging analyses of student thinking, this paper outlines an approach for conceptualizing inquiry-oriented differential equations that is different from traditional approaches and current reform efforts. One way of the wars in which thus approach complements current reform-oriented approaches 10 differential equations centers on a particular principled approach to mathematization. The findings of this research will provide insights into the role of the mathematics teacher, instructional materials, and technology, which will provide mathematics educators and instructional designers with new ways of thinking about their educational practice and new ways to foster students' mathematical justifications and ultimately improvement of educational practice in mathematics classes.

• Journal of Korean Elementary Science Education
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• v.43 no.1
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• pp.170-184
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• 2024

This study focused on the practical research needed to improve elementary school science lesson plans. Specifically, a video clip-based pedagogical reasoning activity that included elementary student misconceptions was presented and the influences of this activity on preservice teachers' science lesson planning were assessed. First, the eight preservice teacher participants were asked to write a lesson plan for a dissolution and solution unit, after which a first semi-structured interview was conducted. Then, the participants participated in a video clip-based pedagogical reasoning activity. Based on the activity results, the participants revised their previously planned lessons, and second semi-structured interviews were conducted. The data from the preservice teachers' lesson plans and interview transcripts were analyzed using a constant comparative method to investigate the lesson plan changes. It was found that after the video clip-based pedagogical reasoning activity, the preservice teacher tightened the activity or changed the material to understand the students' thinking processes. In addition, they supplemented their goals and assessment criteria to accommodate the diverse students' thinking. Some also specified motivational strategies that considered student interests, motivation, and possible misconceptions. However, some preservice teachers still set goals that did not sufficiently account for student misconceptions and some planned the student assessments based only on the learning goals rather than the students' thinking. The few preservice teachers were able to develop motivational strategies that considered interest, motivation, and misconceptions. The preservice teachers claimed that they had difficulty predicting the misconceptions and connecting these to the lesson content. Discussions were then held to assist the preservice teachers to consider possible student misconceptions when planning their lessons.

• Korean Institute of Interior Design Journal
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• v.21 no.2
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• pp.197-206
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• 2012

This study focuses on comparative study of the representation of 'traditionality' in Asian hotel guest rooms. Hotel can be a concentration of the country's culture and tradition and provide unique experience to guests through its space, decoration, and material. However, most hotels in Korea are lack of a strong identity based on the Korean culture and tradition, due to adoptation of the western hotel styles without any criticism. The purpose of this study was to investigate the expression methods of the traditionality in Asian hotel guest rooms to provide design guideline to enhance identity of hotel guest rooms in Korea. Through analysis of the previous researches, criteria of the three design application methods and the five design elements were defined to analyze the representation of the traditonality. Design application methods were categorized as "Original form", "Partial adoption", and "Metaphor". Five design elements include "Shape", "Material", "Color", "Object", and "Pattern". Thirty nine Asian hotels containing the traditional design elements were explored in the study. In result, design application methods in Korea used all three methods equally, while other Asian countries used mainly the Partial adoption and Metaphor methods to express their traditions rather than the Original form method. All five deign elements were mostly used in case of the Original form methods, and two or three elements among five elements were used for the Partial adoption and Metaphor methods. The traditional representation of hotel guest rooms in Korea, reflecting current thinking, living pattern and culture, will be a solution for the new hotel design as well as elevation of Korea's status to a higher level.

• Journal of Korean Elementary Science Education
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• v.22 no.2
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• pp.163-172
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• 2003

The purpose of this study was to develop the analytic framework of Creative Problem Solving(CPS) for elementary school science textbook. For this purpose, we developed the framework based on the theories of problem, definition of problem solving and various kinds of CPS model. The six elements of the framework for content analysis were extracted through theoretical examination: problem introduction, problem statement, solution thinking, formulating hypothesis, testing hypothesis, and assessment. The developed framework was applied to the extbooks for the 5th and the 6th grades 1st semester in elementary science textbook of the 7th national curriculum. The results of this study were as follows: 1. The scores of the framework for content analysis in the 5th grade were slightly higher than those of the 6th grade, but there were no significant difference. 2. The comparison of the scores between the elements of the framework was found that the scores on the elements of testing hypothesis and formulating hypothesis were higher than those of the other elements. 3. The comparison of the scores between the units was found that the scores of the framework for the 9th unit (“trip of water”) of the 5th grade were higher than those of the other units, which were presented lower level than 1.0 (50.0%) score of the framework. 4. The comparison of the scores between the intensive course and the regular coures in the 6th grade textbook was showed that the scores on the intensive course were higher than the basic course. In conclusions, it was found that the problem introduction and problem statement in the textbook should be amended, and that various information and activities should be presented in the textbook.

• Educational Technology International
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• v.11 no.1
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• pp.93-117
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• 2010

The purpose of this study was to develop the problem solving instruction facilitating novice learner to represent the problem. For the purpose, we mainly focused on three aspects of problem solving. First, learner should represent the targeted problem and its solutions for problem solving. Second, from crucial notions of cognitive load theory, learner's mental load should be optimized for problem representation. Third, for optimizing students' mental load, experts may support making their thinking more visible and mapping from their intuition to expert practice. We drew the design principles as follows. First, since providing worked examples for the targeted problem has been considered to minimize analogical errors as well as reduce cognitive load in problem representation at line of problem solving and instructional research, it is needed to elaborate the way of designing. The worked example alternatively corresponds to expert schema that consists of domain knowledge as well as strategies for expert-like problem representation and solution. Thus, it may help learner to represent what the problem is and how to solve it in problem space. Second, principle can be that expert should scaffold learner's self-explanations. Because the students are unable to elicit the rationale from worked example, the expert's triggering scaffold may be critical in that process. The unexplained and incomplete parts of the example should be completed not by expert's scaffold but by themselves. Critical portion of the expert's scaffold is to explain about how to apply and represent the given problem, since students' initial representations may be reached at superficial or passive pattern of example elaboration. Finally, learner's mental model on the designated problem domain should be externalized or visualized for one's reflection as well as expert's scaffolding activities. The visualization helps learner to identify one's partial or incorrect model. The correct model of learner could be constructed by expert's help.

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.251-272
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• 2005

Given that cognitive demands of mathematical tasks can be changed during instruction, this study attempts to provide a detailed description to explore how tasks are set up and implemented in the classroom and what are the classroom-based factors. As an exploratory and qualitative case study, 4 of six-grade classrooms where high-level tasks on ratio and proportion were used were videotaped and analyzed with regard to the patterns emerged during the task setup and implementation. With regard to 16 tasks, four kinds of Patterns emerged: (a) maintenance of high-level cognitive demands (7 tasks), (b) decline into the procedure without connection to the meaning (1 task), (c) decline into unsystematic exploration (2 tasks), and (d) decline into not-sufficient exploration (6 tasks), which means that the only partial meaning of a given task is addressed. The 4th pattern is particularly significant, mainly because previous studies have not identified. Contributing factors to this pattern include private-learning without reasonable explanation, well-performed model presented at the beginning of a lesson, and mathematical concepts which are not clear in the textbook. On the one hand, factors associated with the maintenance of high-level cognitive demands include Improvising a task based on students' for knowledge, scaffolding of students' thinking, encouraging students to justify and explain their reasoning, using group-activity appropriately, and rethinking the solution processes. On the other hand, factors associated with the decline of high-level cognitive demands include too much or too little time, inappropriateness of a task for given students, little interest in high-level thinking process, and emphasis on the correct answer in place of its meaning. These factors may urge teachers to be sensitive of what should be focused during their teaching practices to keep the high-level cognitive demands. To emphasize, cognitive demands are fixed neither by the task nor by the teacher. So, we need to study them in the process of teaching and learning.

• Korean Educational Research Journal
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• v.37 no.1
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• pp.1-18
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• 2016

'The Training for School Organization Management' is a essential teacher training system in order to develop qualification and ability of teachers who have to be the flexible to the recent changeable society. The concept which the school management issue is only belong to the principle is changed now. The thought that 'the school as a team' is broadly accepted. As a result, every teachers including the parents, community people are thinking the solution about the management issues of the school. The changes in the framework of these thoughts is from the recognition that the school management is no longer the preservation only to the manager such as the principle. 'the school linked to the community', 'the school which information is open to all public', the school which is thinking about the curriculum' are highlighted as an alternative which can solve the current education issue. The new curriculum of 'The Training for School Organization Management' is necessary to be in accordance to the new school curriculum because we have to run a new school system in the complex educational circumstance.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.15 no.7
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• pp.4573-4579
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• 2014

In the 21st century, university education is changing from an objective knowledge and information to critical thinking and problem-solving ability. Moreover, university education should change rapidly towards a learner-centered educational environment because it has an educational goal to have college students experience authentic tasks they will be in charge of after graduation, and improves self-directed learning ability and cooperative learning ability. PBL is a pedagogical strategy for posing significant, contextualized, real world situations, and providing resources, guidance, and instruction to learners as they develop content knowledge and problem-solving skills. In problem based learning, the students collaborate to study the issues of a problem as they strive to create viable solution. For these advantages of PBL, the application of PBL in school has been enlarged. On the other hand, the application of PBL in engineering education has not been enlarged. To improve these instruction methods, the development or applications of new instructional methods will be needed. This study examined the PBL instructional design of a creative engineering design subject, which aims to foster talent. The PBL model developed in this study consists of Analysis, Design, Development, Implementation, and Evaluation. A plan of creative engineering design subject was developed based on PBL, and focused on the process of PBL. To determine the effects of this model, studies applying this instructional design to many lecturers should be implemented.

• Journal of the Korean School Mathematics Society
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• v.11 no.3
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• pp.377-397
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• 2008

In today's secondary school mathematics curriculum, assessment is to be focused on evaluating the student's mathematical thinking rather than finding the correct solution to the problem. A descriptive evaluation method is therefore introduced to the school districts and suggested as an alternative assessment method in K-12 school mathematics. Descriptive evaluation method is widely available for use in schools, but there are barriers to using it since the teachers are forced to use the method by the school districts. In this research, we surveyed 120 secondary school mathematics teachers in Seoul and the surrounding metropolitan area to understand the status and the perception about using descriptive evaluation. The goal of the study was to find and understand the direct implications of using the new assessment method in secondary mathematics classes. The study showed that most of the mathematics teachers used the descriptive assessment method during their regular exam periods which is given twice per semester. Most of the open-ended problems used for descriptive evaluation were medium or high level math questions which were graded by the teachers at least 3 times to ensure objective evaluation. The teachers stated that objectivity in grading, administrative situation, and development of descriptive problems were the difficult barriers in descriptive evaluation. The teachers in the survey also commented that teachers' administrative responsibility should be reduced and that school environment in general should be improved for the new assessment method to become successful. Finally, the study showed that development of more descriptive problems with specific grading guidelines need to be developed for each grade level.