• Journal of Educational Research in Mathematics
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• v.25 no.2
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• pp.157-175
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• 2015

This study was conducted with the aim to develop and improve the assessment literacy of teachers which enables it to develop and utilize the assessment items using a wide range of contexts on the basis of an understanding of math contents and mathematical process specified in the math curriculum and to analyze the results in an effective way. To analyze the changes in the development and improvement of the assessment literacy of preservice math teachers, the author of this study, using PISA items and assessment framework, analyzed the changes through the 1st and 2nd development of assessment items. The results showed the assessment literacy of preservice math teachers and their ability have been improved, implying that there is the necessity to develop a wide range of programs to improve the assessment literacy of preservice math teachers and provide such programs on a regular basis, which will facilitate effective math teaching and learning.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.481-498
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• 2014

This study analyzed Japan, Taiwan, Hongkong, Finland, and China National Mathematics Curriculums to find the implications to improve Korean High school Mathematics curriculum. First, at the aspect of mathematics education goals, we can consider to select the logical thinking, the use of mathematics, and the mathematical inquiry in the cognitive domain and self-confidence, brevity, a sense of accomplishment, and the value of mathematics in the affective domain. Second, when high students consider their course, he/she should be able to select mathematics subjects according to her/his desired career and/or major. Third, I found that sine rule, cosine rule and correlation were included as compulsory contents of Japan, Taiwan and China but not Korea. Finally I suggest that we need to show and explain kindly the range of the contents and to develop the Korean mathematics curriculum model.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.253-270
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• 2007

by A.C. Clairaut was written based on the historico-genetic principle such as his . In this paper, by analyzing his we can induce six principles that Clairaut adopted to teach algebra: necessity and curiosity as a motive of studying algebra, harmony of discovery and proof, complementarity of generalization and specialization, connection of knowledge to be learned with already known facts, semantic approaches to procedural knowledge of mathematics, reversible approach. These can be considered as strategies for teaching algebra accorded with beginner's mind. Some of them correspond with characteristics of , but the others are unique in the domain of algebra. And by comparing Clairaut's approaches with school algebra, we discuss about some mathematical subjects: setting equations in relation to problem situations, operations and signs of letters, rule of signs in multiplication, solving quadratic equations, and general relationship between roots and coefficients of equations.

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.263-279
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• 2015

The introduction of real numbers is one of the most difficult steps in the teaching of school mathematics since the mathematical justification of the extension from rational to real numbers requires the completeness property. The author elucidated what questions about real numbers can be unanswered as the "institutional didactic void" in school mathematics defining real numbers as the union of the rational and irrational numbers. The pre-service teachers' explanations on the extension from rational to real numbers and the raison d'$\hat{e}$tre of arbitrary non-recurring decimals showed the superficial and fragmentary understanding of real numbers. Connecting school mathematics to university mathematics via the didactic void, the author discussed how pre-service teachers could break the illusion of transparency about the real number.

• Culinary science and hospitality research
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• v.23 no.5
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• pp.58-66
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• 2017

The purpose of this study was to assess priority of educational needs for the development of curriculum based on key competencies of NCS for departments related to culinary arts in a 2-year college. In order to achieve this objective, the survey has been distributed to cooks working in hotel restaurants or restaurant companies by social network service and a total of 360 responses were analyzed excluding 18 responses. The collected surveys were analysed by using paired t-test, Borich's needs analysis and the locus for focus analysis. The results of this study were as follows. First, the difference between the level of importance and present level about key competencies recognized by cooks working in restaurant company was statistically significant in 9 fields of key competencies excluding mathematical competence. The difference recognized by cooks working in hotel was statistically significant in all 10 fields of key competencies. Second, the results of Borich's needs assessment showed that the education needs of problem solving competence were the highest, followed by interpersonal, resource management, communication, information competence. Finally, considering both Borich's needs assessment and the locus for focus analysis, cooks working in hotel restaurants recognized that educational needs of communication, interpersonal, problem-solving, information competence were the top priority, and cooks working in restaurant companies recognized that educational needs of communication, interpersonal, skill, resource management competence were the top priority. Therefore, it is necessary to develop curriculum for culinary arts specialists based on key competence of top priority.

• Journal of Educational Research in Mathematics
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• v.19 no.2
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• pp.341-354
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• 2009

The purpose of this study is to show the Fractals activities for mathematically gifted students, and to analyze the constructions on Fractals of the mathematically gifted. The subjects of this study were 5 mathematically gifted students in the Gifted Education Institut and also 6th graders at elementary schools. These activities on Fractals focused on constructing Fractals with the students' rules and were performed three ways; Fractal cards, colouring rules, Fractal curves. Analysis of collected data revealed in as follows: First, the constructions on Fractals transformed the ratios of lines and were changed using oblique lines or curves. Second, to make colouring rules on Fractals, students presented the sensitivities of initial and fractal dimensions on Fractals. In conclusion, this study suggested the importance of communication and mathematical approaches in the mathematics classrooms for the mathematically gifted.

• Journal of Educational Research in Mathematics
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• v.21 no.4
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• pp.361-378
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• 2011

Since textbooks are developed according to the curriculum, it might be said that the terms registered in curriculum can serve as guidelines for terms used in textbooks. But it really is not. In this study, so that terms registered in curriculum can serve as guidelines for terms used in textbooks, inconsistencies between them would be found out and improved. To this end, suitability of selecting and using terms are discussed, focusing on terms registered in curriculum and terms used in textbooks. In fact, there are significant differences between the terms registered in curriculum and the terms in textbooks, because there is not any criteria in selecting and using terms. In this study the five criteria with respect to registering terms in curriculum are proposed. Everyday language should not be registered. Naturalized terms should not be registered. Terms used in only elementary mathematics, but are already well-established should be registered. Same term used in diverse context should be registered only once. Terms which can be used without definition should be designated. Three criteria in regard to using terms in textbooks are proposed. Terms registered in curriculum must be used. Same term used in diverse context should be redefined in every context. Terms that are not certified and are not absolutely necessary must not be used.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.251-274
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• 2014

The purpose of this study is to analyze characteristics of PCK before class, investigate how these characteristics are enacted in classrooms when beginning and experienced teachers teach mathematical functions, and provide pedagogical implications. Two beginning teachers and two experienced teachers participated in the study. In order to analyze characteristics of PCK before class, interviews and survey research were conducted. An investigation of classroom discourse was used to examine how the PCK characteristics appear in classrooms. Results show that experiences teachers enacted their PCK about learner, curriculum, teaching methods, and teaching environment in classrooms, whereas beginning teachers could not show their PCK. These results suggest practical implications for the developments of teacher education curriculum and teacher training program.

• Journal of Korea Game Society
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• v.7 no.2
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• pp.53-60
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• 2007

This paper proposes the knowledge structure of an extended script for advertisement style game embodiment. This approach is able to allow for developing game and advertisement module. Research to reconsider contradictory awareness about existent game have been evolving from game education system, advertisement style game and simulation game for training and so on. In this paper, a situation hierarchy structure which allows the designer for simulating high-level specifications of game structure. And we describes with mathematical structure for proposed situation structure. Game unfolding utilizes with causality. Game reflects situation of a spatiotemporal real world. For this goal, we applied extended script to game world. Advertisement style module progresses by method to provide company's advertisement to user while game is gone. The advantage of proposed method are able to allows for novice to effectively insert banner image, video and so on into advertisement module. The proposed method was implemented in the "Shooting BaDuk" among games.

• Journal of Educational Research in Mathematics
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• v.14 no.4
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• pp.347-366
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• 2004

Recently, there have been many assessment researches in Korea. The aim of this study is to reflect on framework for mathematics assessment in RME which is based on Jan de Lange's assessment theory and to induce desirable directions for our mathematics assessment in nation-level and class-level. In order to attain these purposes, the present paper reflects the philosophy of RME, Jan de Lange's framework for mathematics assessment, assessment framework of the unit 'Side Seeing', one of Mathematics in Context textbook series, as an exemplar to which Jan de Lange's framework is applied. Based on these reflections, it is discussed that it needs to specify achievement standards presented in mathematics curriculum more particularly in order to have framework including mathematical abilities of level 2 and level 3 in Jan de Lange's framework appropriate to our situations, to apply the framework to nation-level and class-level consistently, and to enhance abilities of teachers and student teachers for mathematics assessment.