• Communications of Mathematical Education
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• v.31 no.3
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• pp.241-255
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• 2017

The 4th industrial revolution is coming. In order to prepare for the new learning environment with it, we may need digital mathematics textbooks that fully utilize all possible technologies. So various attempts have been made in elementary and middle school mathematics education. However, despite the importance of higher mathematics, we haven't seen a best possible math digital textbooks yet in Korea. In this paper, we introduce our new model of interactive math digital textbook about Linear Algebra/ Calculus/ Differential Equations/ Statistics/ Engineering Math. Especially, this manuscript focuses on our experience of using digital contents and interactive labs for developing a new model for linear algebra digital textbook. We introduce our works on linear algebra digital textbooks which include pdf e-book, web contents, video clips of lectures, interactive lab. Using this linear algebra digital textbook, students can freely use any mobile devices to access diverse learning materials, lessons, and hands-on exercises without any limitations. Also, times saved in the computation, coding, and typing process can be used to have more discussions for deeper understanding of mathematical concepts. This type of linear algebra digital textbook, which contains all interactive free cyber-lab with codes and all lectures for each sections, can be considered as a new model for the next generation of math digital textbook.

• Communications of Mathematical Education
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• v.31 no.3
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• pp.349-366
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• 2017

The 2015 revised curriculum is an integrated curriculum that reflects national and societal needs to foster creative convergent talent in the school curriculum. Along with these changes, the Ministry of Education introduced a system to change the major from 2017 to the fourth year of university. Therefore, each university should prepare to reflect the curriculum and institutional change before welcoming students who have completed the 2015 revised curriculum. The university needs to study the countermeasures for implementing the 2015 revised curriculum and expanding the period of major change when preparing the curriculum and contents of the calculus courses that freshmen take. Handong University has been studying the operation methods of new students who want to decide their major at the first grade, such as operating calculus courses at various levels and allocating appropriate proportions of calculus for preliminary examinations. This case is similar to the basic purpose of the revised curriculum in 2015, so it can suggest implications for the operation of the university calculus class after the curriculum revision. In this paper, we have analyzed the results of the recent freshman mathematics test for the recent 5 years and the students' calculus grades and compared them with the contents of the calculus curriculum operated by Handong University and the 2015 revised higher mathematics curriculum. As a result, we proposed five classes of calculus suitable for college major and it was found that the calculus curriculum should include the missing quadratic method in the 2015 revised curriculum.

• Communications of Mathematical Education
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• v.34 no.2
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• pp.119-134
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• 2020

Korea, where the national curriculum is run, can change school education by specifying basic competence in the common curriculum of elementary and middle schools for students to pursue school learning and real life. The numeracy as a basic competence should not be limited to mathematics, so it needs to be specified in the national curriculum covering several subjects and guided through various subject curriculums. To this end, the study proposed concepts, components, and levels of numeracy and proposed ways to reflect them in the national curriculum and other subjects' curricula. To ensure its validity, the UK, Canada and Australia curriculum are analyzed, and the results of the survey are proposed for various education experts. This study proposed two ways to briefly state the numeracy in the national curriculum and to imply the contents related to the numeracy in each subject curriculum, and to present the concepts, components and levels of numeracy in the national curriculum in detail and to describe numeracy code in each subject curriculum. These suggestions obtained high consent from experts.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.139-166
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• 2014

The purpose of the study is to enhance the teaching competence for pre-service elementary teacher by using DGE in order to enhance SMK and PCK for them. To do this, we investigated the initial SMK and PCK for 23 pre-service elementary teachers, the reality of implementation activity of DGE and the change of SMK and PCK after quest activity by DGE. As results, 3 pre-service elementary teachers made errors which are misunderstanding a general angle as special angle, an excessive jump of logic and a circulation logic in the aspect of an initial SMK. In the aspect of contents of PCK, most of pre-service elementary teachers proposed teaching focused on the character using in the problem solving. And most of pre-service elementary teachers proposed teaching methods which are based on explanation, measurement and material manipulation. The reality of implementation activity of DGE was classified 4 cases which are a difficulty in understanding the concept of dynamics and embodying in DGE, an obsession about construction of $75^{\circ}$ and generalization, a difficulty in interpreting 'folding activity' mathematically and a good implementation activity. After quest activity by DGE, the case which is misunderstanding a general angle as special angle could be improved, but the others are not. And after quest activity by DGE, most of pre-service elementary teachers still proposed teaching focused on the character using in the problem solving in the aspect of contents of PCK, and some of pre-service elementary teachers added only teaching methods which are involving visual confirmation by GSP. From these results, we could extract some pedagogical implications helping pre-service teachers to reinforce SMK and PCK by DGE.

• Journal of Broadcast Engineering
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• v.13 no.2
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• pp.261-273
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• 2008

Multimedia service whose use is rapidly increasing supports effective services to convert and transmit multimedia data based on network speed, noise circumstance, terminal computation, and type of contents for satisfying QoS. For supporting information protection of multimedia service, it offers middle level of singular security service or security mechanism which is based on policy of service provider, depending on present terminal computation and type of contents. It can support security mechanism for more effective multimedia service, if we study security of application layer and network layer for supporting multimedia service. In this paper, we propose Multimedia security framework reflected on quantitative analysis of the WLAN(Wireless Local Area Network) mesh network security using the utility function in the level of the sorority, violation and addictive compensation model.

• School Mathematics
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• v.6 no.4
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• pp.325-344
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• 2004

This study was carried out to investigate effects of the mindmap note-taking for the formation of the mathematical concepts structure and the matjematical creativity. Two classes were randomly chosen for this study from the third grade students of a middle school located in a medium size city. Thirty one lecture hours of the mindmap note-taking on the quadratic equation and functions were administered to the experimental class of 41 students, while same lecture hours of the ordinary instruction on the same contents were administered to the control class of 40 students. It was shown from this experiment that there ware significant evidences of improvement both in the formation of students' mathematical concepts structure and mathematical creativity through the mindmap note-taking lecture. Hence, the mindmap note-taking lecture is suggested for the improvement in the formation of student's mathematical concepts structure and mathematical creativity.

• Journal of the Korean Chemical Society
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• v.43 no.5
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• pp.578-588
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• 1999

The purpose of this study is to develope the more effective chemistry teaching strategy through analyzing the demanded cognitive levels of contents in high school chemistry I textbooks and the cognitive levels of students who learn these textbooks. For this purpose, the levets of cognitive development stages of 821 second grade students of high schools in Seoul City were anaIyzed using the GALT short version test. The demanded cognitive levels of understanding the contents of chemistry I textbooks in high school were analyzed using the curriculum analysis taxonomy developed by CSMS (Concept in Secondaly Mathematics and Science) program of the Great Britain. The resuIts showed that the proportion of students in the concrete operational stage, the transition stage, and the formal operational stage was l0.7%, 43.0% and 46.3%, respectively. The demanded levels of textbook contents were mostly the early formal operational stages. The concepts demanded the level of the late formal operational stage were 'atomic and molecular weight', 'stoichiometry of chemical reaction', and 'periodic properties of elements'. The results will be helpful for teachers in knowing what concepts are difficult for students to understand and in planning strategies for teaching those concepts. To demonstrate the application of the results obtained in this study, an example of developing teaching strategy which includes the adjustment of cognitive level of contents was shown.

• The Mathematical Education
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• v.57 no.3
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• pp.197-213
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• 2018

Descriptive problems can be used to grow student's ability of thinking logically and creatively, because it shows if the students had a reasonable way of thinking. Rate of descriptive problems is increasing in middle and high school exams. However, students in middle and high schools are generally used to answering multiple-choice or short-answer questions rather than describing the solving process. The purpose of this paper is to gain a theoretic ground to increase the rate of descriptive problems. In this study, students were to solve some multiple-choice problems, and after a few weeks, to solve the problems of same contents in the form of descriptive problems which requires the students to write the solving process. The difference of the scores were measured for each problems to each students, and students were asked what they think the reason for rise or fall of the score is. The result is as follows: First, average scores of 7 of 8 problems used in this study had fallen when it was in descriptive form, and for 5 of them in the rate of 11.2%~16.8%. Second, the main reason of falling is that the students have actual troubles of describing the solving process. Third, in the case of rising, the main reason was that partial scores were given in the descriptive problems. Last, there seems a possibility gender difference in the reason of falling. From these results, followings are suggested to advance the learning, teaching and evaluation in mathematics education: First, it has to be emphasized enough to describe the solving process when solving a problem. Second, increasing the rate of descriptive problems can be supported as a way to advance the evaluation. Third, descriptive problems have to be easier to solve than multiple-choice ones and it is convenient for the students to describe the solving process. Last, multiple-choice problems have to be carefully reviewed that the possibility of students' choosing incorrect answer with a small mistake is minimal.

• Journal of the Korean Society of Earth Science Education
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• v.10 no.2
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• pp.185-198
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• 2017

In this study, the researches published in Korea during the six years since 2011, when the STEAM started in earnest, were classified by year, content, type, subject, and center area. in 2011, when STEAM was launched, it was hard to find relevant articles, but it has been increasing rapidly since 2013. The number of articles published by the contents was development application 650(48.9%), effect analysis 394(29.6%), theory contents 179(13.5%), and actual condition recognition 107(8.0%). The number of articles published by research type were quantitative research 347(34.7%), qualitative research 274 (27.4%), mixed research 379(37.9%). The number of articles published by research subjects was 435(40.2%) for elementary school, 209(19.4%) for middle school, 151(14.0%) for high school, 150(13.9%) for literature, 88(8.1%) for teacher, 19(1.8%) for child, 11(1.0%) for preliminary teacher, 9(0.8%) for university and 9(0.8%) for Public. The percentage of research centered on science is the highest of 383(33.2%), while the research on art, technology, and mathematics is also 266(23.0%), 161(13.9%), 152(13.2%). In elementary science, the articles related to STEAM education showed a tendency to decrease in 2014, unlike overall trends, and it mainly conducted research on development and application, effect analysis, and preferred mixed research.

• Education of Primary School Mathematics
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• v.25 no.1
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• pp.101-123
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• 2022

Recently, as the educational paradigm shifts from teacher-centered to learner-centered, the active construction of knowledge of learners is becoming more important. Accordingly, classes using mathematical modeling are receiving attention. However, existing research is focused on teachers or middle and high school students, so it is difficult to apply the contents and results of the research to preservice teachers. Therefore, in this study, the experience of mathematical modeling was examined for elementary school preservice teachers. And we looked at how positive experiences of mathematical modeling change their perceptions. As a result of the study, elementary school preservice teachers had very little experience in mathematical modeling during their school days. In addition, it was found that the perceptions changed more positively than when a theoretical class on mathematical modeling was conducted, rather than when the experience of mathematical modeling was actually shared. Based on the results of this study, implications were suggested in the course of training preservice teachers.