• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.395-411
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• 2013

There are two concepts of division: measurement division and partitive or fair-sharing division. Students are expected to understand comprehensively division algorithm in both contexts. Contents of textbooks and teachers' guidebooks should be suitable for helping students develop comprehensive understanding of algorithm for whole-number division in both contexts. The results of the analysis of textbooks and teachers' guidebooks shows that they fail to connect two division contexts with division algorithm comprehensively. Their expedient and improper use of two division contexts would keep students from developing comprehensive understanding of algorithm for whole-number division. Based on the results of analysis, some ways of improving textbooks and teachers' guidebooks are suggested.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.73-92
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• 2017

A table as an effective arrangement tool of a set of data has not been focused on as a single research subject despite of the fact that the table has been clearly one of learning and teaching elements of national math curriculum for a long time. I hope this article gets to be a starting point for future studies of tables. For this, the Finland elementary mathematics textbooks which use tables so often for many various purpose are chosen and analysed. As a result, it confirms that tables can be practical tools for developing different mathematical ideas in mathematics textbooks. Its applicable area is not limited on statistics but numbers and operations, geometry, measurement, ratio and rate. In addition, some ideas of the outlook, the size and dimension of tables, and the context of datum and etc are induced from the Finland elementary mathematics textbooks.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.115-134
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• 2017

It is necessary to understand the characteristics of each type of division problems in other to help students develop a rich understanding when they learn each type of division problems. This study focuses on a specific type of division problems; a quotitive division as finding a scale factor in enlargement context. First, this study investigated via survey how 4th-6th graders and preservice and inservice elementary teachers solved a quotitive division relating to scaling problem. And semi-structured interviews with preservice and inservice elementary teachers were conducted to explore what knowledge they brought when they tried to solve enlargement quotitive division problems. Most of participants solved the given quotitive division problem in the same way. Only a few preservice and inservice teachers interpreted it as a proportion problem and solved in a different way. From the interviews, it was found that different conceptions of context and decontextualization, and different conceptions of times (as repeated addition or as a multiplicative operator) were connected to different solutions. Finally, three issues relating to teaching enlargement quotitive division were discussed; visual representation of two solutions, conceptions connected each solution, and integrating quotitive division and proportion in math textbooks.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.195-214
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• 2017

The standardized algorithm of natural number multiplication simplify the procedure of arithmetic. In the case of multiplication algorithm with regrouping, we write small the carrying number on the multiplicand. But, teachers and students have to make their own way about the case of two digits multipliers, because Korean elementary mathematics textbooks just deal with the case of the one digit multipliers. In this study, we investigated Korean current elementary mathematics textbooks related to multiplication algorithm with regrouping, and analyzed the result of research on the real condition about marking the carrying number. Besides, we reviewed the guidance contents of algorithm of natural number multiplication in Finland's math textbook and literature. By conclusions, we suggest several implications as followed; First, we need some examples of the way to mark the carrying number in teacher's guidance books and textbooks. Second, teachers try for students to feel the good points of the systematic ways to mark the carrying number. Third, teachers understand algorithm of natural number multiplication and the alternative ways about marking the carrying number.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.2
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• pp.231-257
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• 2020

As the main mathematical concepts are presented and expressed in various ways through textbooks during the teaching and learning process, it is necessary to look at the representations used in elementary math textbooks to find effective guidance. This study analyzed sentences used in the definition of mathematical terms and unit assessments of current elementary mathematics textbooks according to word depth (Yngve, 1960) from a syntactic perspective. As a result of the analysis, it could be seen that the sentences in textbook were generally concise, the word depth was lower, and the sentence structure and form were different depending on the individual characteristics of each term. Also, the sentences in the lower grade textbooks were more easily constructed, and the sentences of the term definition were more complex than the sentences of the unit assessments. Efforts should be made to help learners learn mathematical concepts, such as clarifying sentences in textbooks, presenting visual materials together, and providing additional explanations to suit the level of individual learners.

• Communications of Mathematical Education
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• v.24 no.4
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• pp.843-864
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• 2010

To get an undergraduate degree from mathematics education department, a student not only take a general educational technology course from education department, but also take an educational technology in mathematics education course from mathematics education department. We believe that these two courses can be integrated for preparing better mathematics teachers. For this purpose, we design an educational technology tool called JavaMAL microworld, and study strategy to integrate two courses harmoniously. This kind of approach is good for internationalization of researches on mathematics education by Korean researchers since most SSCI journal prefer an integrated approach in the educational technology related papers. In short, integrating general educational technology course and educational technology in mathematics education course is not only good to student but to professors. But just integrating two courses is not enough. Students must understand the needs and the usefulness of educational technology tool in the learning and teaching of mathematics, and must have such experience from their mathematics courses.

• The Mathematical Education
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• v.59 no.1
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• pp.31-45
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• 2020

Despite the trend of the times and the government's efforts to implement policies, a number of students, having difficulties in learning math, are still growing. Reflecting this, many studies related to underachiever of learning mathematics were conducted in the field of mathematics education. Most of these studies, however, were intended to find the cause of underachievers of learning mathematics or experimental studies that applied the specific teaching procedures to the underachievers of learning mathematics and found their effectiveness in terms of academic achievement, compared it beforehand. Thus, in this study, 49 studies, from including theses and published journal papers from 2001, were meta-analyzed to find out how effective the teaching treatment for underachievers of learning mathematics has improved academic performance. As a result of this analysis, we found that teaching treatment generally have moderate effect sizes for children with having difficulties in learning mathematics. It was also possible to analyze the effect of various interventions and to obtain some suggestions on which circumstances the greatest effect could be achieved. Teaching treatments for underachiever of learning mathematics could have greater effectiveness in elementary school level, institution certified testing tool was used, targeted for each individual, taught by peer student, lasted for at least 8 weeks, and using teaching aids and ICT tools.

• Journal of Gifted/Talented Education
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• v.20 no.3
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• pp.831-846
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• 2010

The Purposes of this study were to compare the level of study habits and test anxiety between gifted middle-school students and non-gifted and to find out the correlation between study habits and test anxiety in two groups. The total participants of this study were 437 middle school students. One hundred eighty three students (127 boys, 56 girls) belonged to gifted group who were enrolled in Cyber Education Center for Math & Science Gifted Students of KAIST in Daejeon. And two hundred fifty four (128 boys, 126 girls) were non-gifted group who were from the middle school in Seoul City and Gyeonggi province. The results revealed that the level of study habits of gifted middle school students was higher than that of non-gifted. And gifted group felt lower level of test anxiety than non-gifted group. Additionally gifted boys showed significantly higher level of study skills application behavior than gifted girls.

• The Journal of the Korea Contents Association
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• v.3 no.2
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• pp.1-10
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• 2003

A semiotic approach to modem visual arts has emerged since French post-structuralism was introduced to Anglo -American academics by "deconstruction" or "postmodemi sm." It views a work of art as a sign, which is its math odical assumption and, at the same time, makes its appli cation more accessible. In the milieu of modem visual arts' effort to be intimate with general audience, modem art photography is now fared with the request to be a familar and universal domain, instead of being left only in photo books as artistic and academic achievements. More specifically, various photo images puter graphics to such megaexhibitions as "Gwangju Biennale,. "Media City Seo ul," and "Pusan International Art Festival," are main objects of study. A coherent and scientific analysis of visual semitotics is still on the way, however, it is an urgent task how to read and interpret a photo image with multiple meanings. This study argues that visual seniotics can be a powerful tool to enhance the understanding of art photography. After all, seniotics is a product of age； we live in the age of legibility, that is, of reading the work of art well as the social events and phenomena. art well as the social events and phenomena.

• The Journal of the Korea institute of electronic communication sciences
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• v.14 no.5
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• pp.1001-1008
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• 2019

A high-quality pseudorandom sequence generation is an important part of many cryptographic applications, including encryption protocols. Therefore, a pseudorandom number generator (PRNG) is an essential element for generating key sequences in a cryptosystem. A PRNG must effectively generate a large, high-quality random data stream. It is well known that the bitstreams output by the CA-based PRNG are more random than the bitstreams output by the LFSR-based PRNG. In this paper, we prove that the complemented CA derived from 90/150 maximum length cellular automata(MLCA) is a MLCA to design a PRNG that can generate more secure bitstreams and extend the key space in a secret key cryptosystem. Also we give a method for calculating the cell positions outputting a nonlinear sequence with maximum period in complemented MLCA derived from a 90/150 MLCA and a complement vector.