• School Mathematics
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• v.8 no.3
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• pp.291-300
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• 2006

Proofs in school mathematics are regarded as the procedures to examine a proposition's truth or falsehood. However, they are not based on an axiomatic system in general. This implies the possible existence of vicious circles in proofs in school mathematics. The concept of proof can be more completely acquired when accompanied with concept of circular reasoning and necessity of axiomatic system. Therefore, it is necessary to discuss on the axiomatic system in school mathematics curriculum. The vicious circle can be found in computing an area of a circle by using definite integral in differentiation/integration part of high school textbooks. This paper will first illustrate this in detail and then offer several comments on the axiomatic methods related to the dissolution of that circular reasoning. To further the discussion, Archimedes' derivation for the area of a circle will be considered next. Finally, several arguments on circular reasoning, local organization, and axiomatic system in school curriculum will be presented at the end of the paper.

• Journal of the Korean Institute of Intelligent Systems
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• v.9 no.4
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• pp.451-456
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• 1999

All the teaching items in a textbook are normally arranged in a prescribed teaching order. However, one can easily find that the textbooks of the same kind, even with the same teaching items, show different arrangements. Without learning preceding teaching items, students may have a difficulty in understanding the teaching items. In this sense, it is very important to decide how to arrange teaching items in terms of teaching sequence. As a solution to this problem, lsamu Matsubara presents a method based on the graph theory. The four types defined in his method are the straight type, the group type, the branch type, and the independent type. Among these, the three types except the straight type lack the objectivity. An objective solution to these three types, based on the fuzzy theory. is propopsed in this paper.

• Journal of the Korean Society for Library and Information Science
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• v.22
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• pp.83-107
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• 1992

The Purpose of this paper is to suggest directions for the future education of Library management. For this purpose, some theoretical backgrounds are traced based on the historical events, the standards provided by international and national organizations, and theories suggested through researches. And the percentages of library management subjects in the curricula of ten Library and Information Science Departments are calculated divided by compulsory and elective ones, along with the contents analyses of a few textbooks in the field. The hypotheses to be tested are as follows: 1. The American postgraduate library education was introduced into Korea as an undergraduate course. So the importance of the subject of library management was recognized as in America, and the numbers of subject Would have been increased, and the contents detailed. 2. The contents of the subject taught would not have changed much since its introduction. It means that they will be almost the same as those were prevalent in the United States of America in the 1950s, when the American education was brought into Korea. The hypotheses can be accepted as being true. Based on the conclusions, some suggestions, including the teaching of the subject should be directed more towards management aspects rather than administrative ones, are provided.

• International Journal of Internet, Broadcasting and Communication
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• v.14 no.3
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• pp.292-298
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• 2022

Coding education and algorithm education are essential in the era of the fourth industrial revolution. Text-oriented algorithm textbooks are perceived as difficult by students who are new to coding and algorithms. There is a need to develop educational content so that students can easily understand the principles of complex algorithms. This paper has implemented basic sorting algorithms as augmented reality contents for students who are new to algorithm education. To make it easier to understand the concept and principles of sorting algorithms, sorting data was expressed as a 3D box and the comparison of values according to the algorithms and the movement of values were produced as augmented reality contents in the form of 3D animations. In order to help with the understanding of sorting algorithms in C language, the change of variable values and the exchange of data were shown as animations according to the execution order of the code and the flow of the loop. Students can conveniently use contents through a smart phone without special equipment by being produced in a marker-based manner. Interest and immersion, as well as understanding of classes of sorting algorithms can be increased through educational augmented reality-based educational contents.

• Journal of The Korean Association of Information Education
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• v.14 no.2
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• pp.165-174
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• 2010

The digital textbook project which embarked by the Ministry of Education, Science and Technology has focused on experiments and practices from the school designated by the government. However the previous research about digital textbook provides static interaction models and teaching-learning models analogous to web-based learning based desktop PC even the framework of the digital textbook is based of Tablet PC. This paper provides learning and teaching models for next generation digital textbook which based digital inking techinques for sketcth interface and AR(augmented reality) interactions between teacher and learner. The proposed method of this paper is applied to educational contents and we found positive effect which is supported by statistical experiments. The results of this study in the future and the future development of digital textbooks in effect will be an effective development plan.

• School Mathematics
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• v.12 no.4
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• pp.473-491
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• 2010

In the TIMSS assessment goal and open TIMSS 2007, Singapore recorded a lower overall achievement level compared with Korea; however, the excellent results shown by Singapore furnished an opportunity for various countries to research into the education in Singapore. This paper conducted a comparative analysis of the "Proportion, Proportional Expression, and Percentile" area out of the three topics involving "Fractions and Decimals", "Proportion, Proportional expression, and Percentile", and "Measurement", in all of which Singapore exhibited a higher percentage of correct answers than Korea. The paper was able to discover the following differences through a comparative analysis of how Korean and Singaporean textbooks deal with the open questions of TIMSS 2007 after looking into them according to four assessment goals. First, the Singaporean textbook introduced the concept of proportion one year ahead of the Korean textbook. Second, the Singaporean textbook repeatedly coped with the topic of "Proportion, Proportional Expression, and Percentile" in depth and by academic year, and its volume was larger than that of the Korean textbook. Third, there was a difference in the introduction and definition of the concept of proportion. Fourth, the way of introducing a proportional expression was also different, and the Singaporean textbook proposed many more questions that utilize this expression in ordinary life. Based on these differences, the paper suggested implications that could be applied to the Korean curriculum and textbook.

• Journal of Science Education
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• v.44 no.1
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• pp.38-49
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• 2020

The purpose of this study is to analyze the paper test items of high school physics I 'Space-Time and the Universe' unit and how similar the textbook goals are to the cognitive and content areas. This study analyzed paper test items used from nine high schools and KICE about the unit. In order to analyze the distribution of items, they were classified by contents and by cognitive level which is knowledge, comprehension and application levels. As conclusion, application level items were a few, and unbalanced contents distribution appeared in school items. In comparison through the ratio difference index, the objectives of the textbook and the school items were very similar, but the similarities were low when comparing the school items with the KICE items. Based on the above, we suggested some ways to increase the validity of test items.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.41 no.11
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• pp.1456-1462
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• 2016

In this paper, we apply a chord progression learning model to a rule-based generation of a four-part chorus. The proposed system is given a 32-note melody line and completes the four-part chorus based on the rule of harmonics, predicting the chord progression with the CRBM model. The data for the training model was collected from various harmony textbooks, and chord progressions were extracted with key-independent features so as to utilize the given data effectively. It was shown that the output piece obtained with the proposed learning model had a more natural progression than the piece that used only the rule-based approach.

• The Mathematical Education
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• v.62 no.2
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• pp.289-302
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• 2023

In today's digital information society, student knowledge and skills to analyze big data and make informed decisions have become an important goal of school mathematics. Integrating big data statistical projects with digital technologies in high school <Artificial Intelligence> mathematics courses has the potential to provide students with a learning experience of high impact that can develop these essential skills. This paper proposes a set of guidelines for designing effective big data statistical project-based tasks and evaluates the tasks in the artificial intelligence mathematics textbook against these criteria. The proposed guidelines recommend that projects should: (1) align knowledge and skills with the national school mathematics curriculum; (2) use preprocessed massive datasets; (3) employ data scientists' problem-solving methods; (4) encourage decision-making; (5) leverage technological tools; and (6) promote collaborative learning. The findings indicate that few textbooks fully align with these guidelines, with most failing to incorporate elements corresponding to Guideline 2 in their project tasks. In addition, most tasks in the textbooks overlook or omit data preprocessing, either by using smaller datasets or by using big data without any form of preprocessing. This can potentially result in misconceptions among students regarding the nature of big data. Furthermore, this paper discusses the relevant mathematical knowledge and skills necessary for artificial intelligence, as well as the potential benefits and pedagogical considerations associated with integrating technology into big data tasks. This research sheds light on teaching mathematical concepts with machine learning algorithms and the effective use of technology tools in big data education.

• School Mathematics
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• v.11 no.1
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• pp.111-129
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• 2009

This paper is about didactical transposition, which is to transpose academic knowledge into practical knowledge intended to teach. The research questions are addressed as follows. 1. Are the 13 mathematics textbooks of the 10-Na level indisputable regarding with the didactical transposition, in terms that the order of arrangement and the way of explaining the knowledge of trigonometric functions being analyzed and that its logical construction and students' understandings are considered? 2. Can some transpositions for easier use of didactical manipulative, for more practical and for more principle based be proposed? To answer these questions, this research examined previous studies of mathematics education, specifically the organization of the textbook and the trigonometric functions, and also compared orders of arranging and ways of explaining trigonometric functions from the perspective of didactical transposition of 13 versions of the 10-Na level reorganized under the 7th curriculum. The paper investigated what lacks in the present textbook and sought a teaching guideline of trigonometric functions(especially about sector and graph, period, characters of trigonometric function, and sine rule).