• Journal of the Korean School Mathematics Society
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• v.11 no.1
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• pp.97-115
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• 2008

In high school mathematics class, to subtract a number b from a, we add the additive inverse of b to a and to divide a number a by a non-zero number b, we multiply a by the multiplicative inverse of b, which is the formal approach for operations of real numbers. This article aims to give a connection between the intuitive models in middle school mathematics class and the formal approach in high school for teaching operations of negative integers. First, we highlight the teaching methods(Hwang et al, 2008), by which subtraction of integers is denoted by addition of integers. From this methods and activities applying the counting model, we give new teaching methods for the rule that the product of negative integers is positive. The teaching methods with horizontal mathematization(Treffers, 1986; Freudenthal, 1991) of operations of integers, which is based on consistently applying the intuitive model(number line model, counting model), will remove the gap, which is exist in both teachers and students of middle and high school mathematics class. The above discussion is based on students' cognition that the number system in middle and high school and abstracted number system in abstract algebra course is formed by a conceptual structure.

• Journal of Science Education
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• v.44 no.2
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• pp.240-258
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• 2020

The advances in science technology brought about a new form of learning called flipped-learning: a combination of on-line and off-line learning. A flipped learning is a form of blended learning which has become quite popular, nowadays, in the field of education. Despite the emphasis on the importance of medical humanities in medical education program, there are no effective teaching and learning models to realize the purpose of medical humanities education. This study explores the possibility of flipped-learning to apply medical humanities classes. The class was designed based on the ADDIE model consisting of five stages, analysis - design - development - execution - evaluation. In order to do 'flipped-learning,' the instructor reconstructs the purpose of medical humanities education, instructional purpose and content, and analyzed learner. The contents of the medical humanities class were structured considering the purpose of the introduction to the medical humanities in the medical education program and the competencies that medical personnel should have in the developed health care environment. The instructor produces a video of the lecture and makes it possible to use LMS (Learning Management System) before and after classes, and conducts discussion activities so that learner-learner and learner-teacher interaction could actively occur during the class. The result of applying medical humanities lesson as flipped learning is as follows: First, it can realize the essence of medical humanities education. Second, it contributes to strengthening the competencies of health care provider. Third, flip learning can be used as a new teaching strategy for medical humanities education. The result of this study is expected to suggest new ways of introduction to teaching method in the traditional medical humanities class and contribute to the practice of designing and doing flipped learning of medical humanities class in the future.

• Communications of Mathematical Education
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• v.31 no.3
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• pp.257-277
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• 2017

The purpose of this research is divide into two kinds. First, develop the mathematical modeling program for mathematically gifted students focused on Voronoi diagram and Delaunay triangulation, and then gifted teachers can use it in the class. Voronoi diagram and Delaunay triangulation are Spatial partition theory use in engineering and geography field and improve gifted student's mathematical connections, problem solving competency and reasoning ability. Second, after applying the developed program to the class, I analyze gifted student's core competency. Applying the mathematical modeling program, the following findings were given. First, Voronoi diagram and Delaunay triangulation are received attention recently and suitable subject for mathematics gifted education. Second,, in third enrichment course(Student's Centered Mathematical Modeling Activity), gifted students conduct the problem presentation, division of roles, select and collect the information, draw conclusions by discussion. In process of achievement, high level mathematical competency and intellectual capacity are needed so synthetic thinking ability, problem solving, creativity and self-directed learning ability are appeared to gifted students. Third, in third enrichment course(Student's Centered Mathematical Modeling Activity), problem solving, mathematical connections, information processing competency are appeared.

• Journal of Educational Research in Mathematics
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• v.11 no.1
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• pp.11-35
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• 2001

Many teachers report familiarity with and adherence to reform ideas, but their actual teaching practices do not reflect a deep understanding of reform. Given the challenges in implementing reform, this study intended to explore the breakdown that may occur between teachers' adoption of reform objectives and their successful incorporation of reform ideals. To this end, this study compared and contrasted the classroom social norms and sociomathematical norms of two United States second-grade teachers who aspired to implement reform. This study is an exploratory, qualitative, comparative case study. This study uses the grounded theory methodology based on the constant comparative analysis for which the primary data sources were classroom video recordings and transcripts. The two classrooms established similar social norms including an open and permissive learning environment, stressing group cooperation, employing enjoyable activity formats for students, and orchestrating individual or small group session followed by whole group discussion. Despite these similar social participation structures, the two classes were remarkably different in terms of sociomathematical norms. In one class, the students were involved in mathematical processes by which being accurate or automatic was evaluated as a more important contribution to the classroom community than being insightful or creative. In the other class, the students were continually engaged in significant mathematical processes by which they could develop an appreciation of characteristically mathematical ways of thinking, communi-eating, arguing, proving, and valuing. It was apparent from this study that sociomathematical norms are an important construct reflecting the quality of students' mathematical engagement and anticipating their conceptual learning opportunities. A re-theorization of sociomathematical norms was offered so as to highlight the importance of this construct in the analysis of reform-oriented classrooms.

• Journal of Radiation Protection and Research
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• v.41 no.2
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• pp.149-154
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• 2016

Background: Any real application of Bayesian inference must acknowledge that both prior distribution and likelihood function have only been specified as more or less convenient approximations to whatever the analyzer's true belief might be. If the inferences from the Bayesian analysis are to be trusted, it is important to determine that they are robust to such variations of prior and likelihood as might also be consistent with the analyzer's stated beliefs. Materials and Methods: The robust Bayesian inference was applied to atmospheric dispersion assessment using Gaussian plume model. The scopes of contaminations were specified as the uncertainties of distribution type and parametric variability. The probabilistic distribution of model parameters was assumed to be contaminated as the symmetric unimodal and unimodal distributions. The distribution of the sector-averaged relative concentrations was then calculated by applying the contaminated priors to the model parameters. Results and Discussion: The sector-averaged concentrations for stability class were compared by applying the symmetric unimodal and unimodal priors, respectively, as the contaminated one based on the class of ${\varepsilon}$-contamination. Though ${\varepsilon}$ was assumed as 10%, the medians reflecting the symmetric unimodal priors were nearly approximated within 10% compared with ones reflecting the plausible ones. However, the medians reflecting the unimodal priors were approximated within 20% for a few downwind distances compared with ones reflecting the plausible ones. Conclusion: The robustness has been answered by estimating how the results of the Bayesian inferences are robust to reasonable variations of the plausible priors. From these robust inferences, it is reasonable to apply the symmetric unimodal priors for analyzing the robustness of the Bayesian inferences.

• School Mathematics
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• v.18 no.4
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• pp.773-791
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• 2016

Teacher noticing ability has been considered as one of important elements influencing a quality of teaching. Noticing is closely related to teachers' in the moment decision making in a class, and teachers notice things as they create and interact with their classroom setting. Mathematics teachers as an expert should notice students' mathematics learning during a class. The aim of this study was to analyze how mathematics teacher's pre-noticing activity that the teacher anticipated students' typical strategies and difficulties in learning targeted mathematics knowledge and prepared appropriate responses worked in practice. As a result, the teacher conducted three types of noticing in her classes: noticing shaping students' understanding by using students' misconceptions or errors; noticing creating students' learning opportunities based on their prior knowledge; noticing improving students' informal reasoning. This study concluded with discussion about the positive effect of teacher's pre-noticing activity on her actual noticing in practice, as well as implications for teacher education.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.223-239
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• 2017

In this paper, it is aimed to design the teaching units 'Inquiry into the isoperimetric problem of triangle and quadrilateral' to give elementary gifted students experience of mathematization. For this purpose, the teacher and the class observer (researcher) made a discussion about the design of the teaching unit through the analysis of the class based on the thought processes appearing during the problem solving process of each group of students. The following is a summary of the discussions that can give educational implications. First, it is necessary to use mathematical materials to reduce students' cognitive gap. Second, it is necessary to deeply study the relationship between the concept of side, which is an attribute of the triangle, and the abstract concept of height, which is not an attribute of the triangle. Third, we need a low-level deductive logic to justify reasoning, starting from inductive reasoning. Finally, there is a need to examine conceptual images related to geometric figure.

• Korean Journal of Health Education and Promotion
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• v.34 no.1
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• pp.77-90
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• 2017

Objectives: The purpose of this study was to explore how university students perceive the mental health, what are the factors affecting the mental health in their lives. Methods: The participants of this study were eight university students who haven't participated in a class of mental health, residing in G city. This study collected the data between May 9 and June 13, 2016, and adopted a photovoice methodology of participatory action research. Results: The mental health perceived by the participants was expressed as new things re-experiencing in a familiar daily life of themselves, and things seem the same but different from others. Through discussion, the participants found that affecting factors of the mental health they negatively perceived could work on others as positive factors. Also, the participants were in search of a strategy to individually protect the mental health barriers in ways of that could contribute to mental health of the community such as conformity to social regulations. Conclusions: Based on these results, this study was meaningful in that various views were derived to prepare strategies and policy alternatives to promote university students' mental health.

• 한국사회복지학회:학술대회논문집
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• 2004.04a
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• pp.535-559
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• 2004

While the endeavor to introduce the service activity in the college education is enlarged, the object of this study is to introduce the concept of service learning in social work education. The 'content centered service-learning' is focusing on the practical education, the liaison and participation in community and the promotion of civil awareness which are very important in social work education that focuses on the interest and participation in the human and social problem as practical study. This study contemplates the educational effect of the course of social work combined with service learning. This study verifies the self-efficacy, the altruism, the change of social responsibility of students and the effect by carrying out the course of social welfare and service activities side by side. To evaluate the effect of service learning, pre and post test and qualitative analysis in journal of service activity, the discussion during the class and the mid and final term evaluation were done. Through the service learning, students showed the promotion in self-esteem, the altruism, the social responsibility, the self insights as a social worker and were able to have the chance to consider their future job. From the view point of local centers, it was evaluated that the service activity of students was helpful to the institutions and the clients, and that the liaison between the community agency and the college and the experience of integration of service learning and the course of social welfare was helpful too. Based on the above mentioned results, this study provide some recommendations in implementation of service-learning as the teaching methodology of social work.

• Journal of the Korean earth science society
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• v.21 no.3
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• pp.219-229
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• 2000

Constructive learning is an active process of meaning construction and students decide their individual learning objectives according to their own interest concern and ability. The purpose of this study is to develop a teaching-learning model and classroom materials from constructivist perspectives and to apply them to an elementary school classroom in Seoul for one month. In this study, it was reorganized the contents of unit of 'beds and fossils' based on the discussion between students and teacher during the second semester of 4th grade class. The teaching-learning model consists of five steps: 1) introduction; 2) exercise; 3) presentation; 4) consensus; and 5) development. The implementation results were summarized.