• Journal of Educational Research in Mathematics
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• v.20 no.1
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• pp.85-102
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• 2010

Linear programming(LP) is useful for finding the best way in a given condition for some list of requirements represented as linear equations. This study analysed LP in mathematics contexts and LP in school mathematics contexts, considered learning process of LP from an epistemological point of view, and explored a hypothetical learning trajectory of LP. The differences between mathematics contexts and school mathematics contexts are whether they considered that the convex polytope $\Omega$ is feasible/infeasible or bounded/unbounded or not, and whether they prove the theorem that the optimum is always attained at a vertex of the polyhedronor not. And there is a possibility that students could not understand what is maximum and minimum of a linear function when the domain of the function is limited. By considering these three aspects, we constructed hypothetical learning trajectory consisted of 4 steps. The first step is to see a given linear expression as linear function, the second step is to partition a given domain by straight lines, the third step is to construct the conception of y-intercept by relating lines and the range of k, and the forth step is to identify whether there exists the optimum in a given domain or not.

• International Journal of Contents
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• v.6 no.2
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• pp.33-40
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• 2010

This study aims at investigating the linguistic and educational factors affecting TOEFL scores, focusing on three OECD countries, Korea, Japan, and Finland. The data comprise document analysis on curriculums, websites, and literature. The findings reveal that the number of Korean test-takers and their TOEFL scores gradually increased year by year. Finnish test-takers consistently gained greatly high scores, and Japanese examinees showed the lowest scores. The languages Korean, Japanese, and Finnish are all far distant from English and receive little support on historical grounds from the Indo-European family tree. In Finland, however, Swedish which belongs to Indo-European languages is still used as an official language with Finnish. Korea and Finland adopt English education from Year 3 in primary school, whereas English is not an official subject in primary school at present in Japan. Finnish students are taught a foreign language in addition to English from primary school. These seem to support the result of the high TOEFL scores of Finnish test-takers. This study concludes that social context which includes linguistic and educational environments are the main factors which affect TOEFL scores.

• Korean Journal of Childcare and Education
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• v.9 no.3
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• pp.75-93
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• 2013

The present study was to investigate if quality of childcare curriculum implementation could be predicted by educational climate, teachers' professionalism, and teacher/classroom characteristics. According to the results, strong positive associations existed between eudcational climate, professionalism, and implementation of childcare curriculum. The most powerful predictor of curriculum implementation quality was 'respect and acceptance' which was a sub-factor of educational climate. Also, 'public service', a sub-factor of professionalism, explained a significant amount of variances in quality of curriculum implementation. Among teacher/childcare characteristics, the type of centers was one of the strong predictors. These study results provide meaningful implications regarding the importance of socio-cultural contexts in childcare centers as well as teachers'professionalism.

• Educational Technology International
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• v.18 no.2
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• pp.215-247
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• 2017

This study aims to conduct a literature review on visual scaffolding. Visual scaffolding, as a support for learning, employs various forms of visual objects which can be either content-independent or content-dependent and the types of which would be abstract-verbal, concrete-verbal, concrete-visual, or abstract visual. The effectiveness of visual scaffolding can be argued in the following three aspects: 1) explicit representation of information and emphasis of critical features in effective and efficient manner, 2) supplement of additional information, 3) structural understanding with decrease in cognitive load. The limitations of the study and the suggestions for future study are discussed.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.351-364
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• 1998

This thesis analyzes the nature of proof in the perspective on the philosophy of mathematics. such as absolutism, quasi-empiricism and social constructivism. And this thesis searches for the improvement of teaching proof in the light of the result of those analyses of the nature of proof. Though the analyses of the nature of proof in the perspective on the philosophy of mathematics, it is revealed that proof is a dynamic reasoning process unifying the way of analytical thought and the way of synthetical thought, and plays remarkably important roles such as justification, discovery and conviction. Hence we should teach proof as a dynamic reasoning process unifying the way of analytic thought and the way of synthetic thought, avoiding the mistake of dealing with proof as a unilaterally synthetic method. At the same time, we should make students have the needs of proof in a natural way by providing them with the contexts of both justification and discovery simultaneously. Finally, we should introduce the aspect of proof that can be represented as conviction, understanding, explanation and communication to school mathematics.

• Journal of the Korea Furniture Society
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• v.23 no.1
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• pp.47-56
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• 2012

This study particularly looked at educational philosophy and content of Design Academy Eindhoven in Holland which provides multidisciplinary design education. For it might be important data for examining the educational substance and directivity in design that help construct education system in design for a new era among the varying design paradigm. The biggest feature of DAE education system designed for students to optimize their ability with systematic education of 8 contexts with 4 approaches through innovative specialty system. Besides, their interaction helps students major in what is individual specialty. Most of all, the study on the contents of DAE's multidisciplinary education is expected to be significant data for our design education that lacks integrative perspective in the respect that students might be able to develop their identity as an individual designer in changing society beyond the mere technical and formative level of design.

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.233-249
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• 2005

This study discusses on the historico-genetic instruction on fraction. The textbooks of the current curriculum include the variety of contexts of fraction to be intended to connect with the conception of ratio in the grade 6. However mary elementary students have understanding limited to whole-part relation only. This study propose a method on the basis of the process of measurement by an absolute unit. The idea is related to The genesis of fraction in Egypt.

• Research in Mathematical Education
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• v.8 no.3
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• pp.157-173
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• 2004

The paper discusses the phenomenon of mathematical giftedness, especially manifested at early stages of life of future outstanding mathematicians, taken in its socio-cultural context. The authors suggest that the images of mathematical giftedness are formed differently in various cultural contexts and thus can imply different settings of the educational institutions that can accordingly ignore, encourage, or restrain the students considered gifted. The paper focuses on the cases of traditional mathematics in several Asian countries (China, Vietnam, and Japan) and of modem mathematics in Soviet Union/Russia in order to provide examples of different patterns of forming the image of mathematical giftedness and of the corresponding educational approaches.

• International Journal of Human Ecology
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• v.7 no.1
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• pp.111-119
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• 2006

The purpose of our study is to explore dynamic mechanisms within families and self-authored decisions among Korean female college students. In particular, we investigated how parent-child interactions influence the development of self-authorship and self-authored decisions within Korean culture through interviews with 14 female college students. Results showed unique cultural influences on how female college students interacted with parents and interpreted and reflected parents' opinions in their self-authored decisions. These results suggest further research on gender differences and complex family influences on self-authored decisions within cultural contexts.

• Child Studies in Asia-Pacific Contexts
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• v.7 no.1
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• pp.1-13
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• 2017

The rich cultural backgrounds and practices of children from native cultures are often absent in classroom instruction, as teachers might feel that they have inadequate knowledge and backgrounds in the unique practices of these populations. Historically, children from native cultures have had challenging educational experiences and poor educational outcomes. To address these challenges, we propose a Family and Culture Based (FCB) framework that draws from family-centered practice, asset-based practice, and culturally responsive pedagogy. This article describes the three steps of the FCB framework, which uses a teacher-as-learner approach to instruct students from native cultures by engaging teachers in reflection, gaining knowledge about the cultural practices of the family and community, and integrating the new knowledge into practice. We use a Pacific Islands case (Native Hawaiian family) and a Pacific Northwest case (First Nations family) to illustrate the potential benefits of using the FCB framework with indigenous students.