• Journal of Educational Research in Mathematics
• /
• v.24 no.2
• /
• pp.125-143
• /
• 2014

In this study, we analyzed a mathematical discussion in the Calculus II course of the Gifted Science Academy and individual interviews to determine the relationship between cognitive conflicts and commognitive conflicts. The mathematical discussion began with a question from a student who seemed to have a cognitive conflict about the osculating plane of a space curve. The results indicated that the commognitive conflicts were resolved by ritualizing and using the socially constructed knowledge, but cognitive conflicts were not resolved. Furthermore, we found that the cause of the cognitive conflict resulted from the student's imperfect analogical reasoning and the reflective discourse about it could be a learning opportunity for overcoming the conflict. These findings imply that cognitive conflicts can trigger the appearance of commognitive conflicts, but the elimination of commognitive conflicts does not imply that cognitive conflicts are resolved.

• Journal of Educational Research in Mathematics
• /
• v.9 no.1
• /
• pp.217-228
• /
• 1999

The fundamental theorem of calculus is the most 'fundamental' content in teaching calculus. Since the aim of teaching the theorem goes beyond simple application of it, it is difficult to teach it meaningfully. Hence, for the meaningful teaching of the fundamental theorem of calculus, this article seeks to find the educational implication of the fundamental theorem of calculus through reviewing the genetic history of it. A genetic history of the fundamental theorem of calculus can be divided into the following five phases: 1. The deductive discovery of the fundamental theorem of calculus 2. Galileo's Law of falling body and the idea of the fundamental theorem of calculus 3. The discovery of the fundamental theorem of calculus and Barrow's proof 4. Newton's mensuration 5. the development of calculus in 19th century and the fundamental theorem of calculus The developmental phases of the fundamental theorem of calculus discussed above provides the three educational implications. first, we can rediscover this theorem through deductive methods and get the ideas of it in relation to kinetic problems. Second, the developmental phases of the fundamental theorem of calculus shows that the value of this theorem lies in the harmony of its theoretical beauty and practicality. Third, Newton's dynamic image of this theorem can be a typical way of understanding the theorem. We have different aims of teaching the fundamental theorem of calculus, according to which the teaching methods can be adopted. But it is self-evident that the simple application of the theorem is just a part of teaching the fundamental theorem of calculus. Hence we must try to put the educational implications reviewed above into practice.

• 한국체육학회지인문사회과학편
• /
• v.54 no.4
• /
• pp.257-269
• /
• 2015

The purpose of this study was to conduct content analysis on expression activity section in the physical education textbooks of 2009 curriculum revision and provide a basis for future middle school physical education. in order to accomplish the purpose of this study, 5 different kinds of physical education textbook. The physical education textbooks were examined through the comparative analysis and previous studies conducted for selections of the analysis bases. The results were as follows. First, textbooks devoted the space from 14.1 to 17.3%. In deployment and configuration of the section, each textbooks were used variety of methods, photographs and illustrations for motivations and advanced learning. Second, the instructional objectives were presented 4-6 each text book including expression activity concepts, understanding expression methods, personal competence reinforcement through creative activity, and watching performances. Learning contents were to focus on the concepts of aesthetic component in the esthetical expression, to highlight creative component in the modern expression, to express characteristic dances through understanding of the culture in the traditional expression. lastly, the middle assessments hight the understanding of each contents but small assessments focus on attitudes of character education.

• Journal of Korea Entertainment Industry Association
• /
• v.15 no.3
• /
• pp.211-219
• /
• 2021

Chinese Tibetan Opera is a highly comprehensive drama type, which combines the educational aesthetic characteristics of the realism of Western drama and the freehand of Chinese opera, including mask play, square play, ritual play and religious play. Tibetan opera, as a kind of local drama, has high research value, which is determined by its educational aesthetic characteristics. The world's three major dramas include Sanskrit dramas in India, tragic-comedies in ancient Greece and Chinese dramas, which have different forms of expression and educational aesthetic characteristics. Because of the particularity of its birthplace, Tibetan Opera inherits some of the three forms of the above three dramas. Ancient Greek tragedies originate from the sacrificial ritual of the god of wine. In the early ceremonial action performances, the actors were all men and needed to wear masks to perform. In Tibetan opera, men also play a role in masks, which are originated from the folk totem dance and religious pantomime music and dance. Due to the long history of Indian Sanskrit drama, except for the relevant records in dance theory, the specific performance form can not be verified. However, according to the relevant records in dance theory, the three characters "Wenba", "Jialu" and "Lamu" in the opening play of Tibetan opera are similar to the "concept character play" in Sanskrit opera. Tibetan Opera is a very important part of traditional Chinese opera, which inherits the educational aesthetic characteristics of Chinese opera.

• Communications of Mathematical Education
• /
• v.28 no.3
• /
• pp.353-366
• /
• 2014

Recently, the widespread usage of 3D-Printing has grown rapidly in popularity and development of a high level technology for 3D-Printing has become more necessary. Given these circumstances, effectively using mathematical knowledge is required. So, we have developed free web tools for 3D-Printing with Sage, for mathematical 3D modeling and have utilized them in college education, and everybody may access and utilize online anywhere at any time. In this paper, we introduce the development of our innovative 3D-Printing environment based on Calculus, Linear Algebra, which form the basis for mathematical modeling, and various 3D objects representing mathematical concept. By this process, our tools show the potential of solving real world problems using what students learn in university mathematics courses.

• The Journal of the Korea Contents Association
• /
• v.14 no.9
• /
• pp.494-502
• /
• 2014

The purpose of this study was to analyze the effects of festival experiential factors on festival satisfaction and behavioral intention by questionnaires to 550 experience program participants in the Muju Firefly Festival. And the hypothesis verified by 493 valid questionnaires with AMOS 18.0. The result of analysis showed that educational experience, escapist experience and entertainment experience except esthetic experience had positive effects on the festival satisfaction. Based on standardized coefficients showed that entertainment experience had the greatest impact on the festival visitor's satisfaction. And it showed that the satisfied visitors with the festival experience programs are the more likely re-visit and recommendation of visitors to subsequent festivals.

• Communications of Mathematical Education
• /
• v.34 no.1
• /
• pp.1-15
• /
• 2020

Today's healthcare, intelligent robots, smart home systems, and car sharing are already innovating with cutting-edge information and communication technologies such as Artificial Intelligence (AI), the Internet of Things, the Internet of Intelligent Things, and Big data. It is deeply affecting our lives. In the factory, robots have been working for humans more than several decades (FA, OA), AI doctors are also working in hospitals (Dr. Watson), AI speakers (Giga Genie) and AI assistants (Siri, Bixby, Google Assistant) are working to improve Natural Language Process. Now, in order to understand AI, knowledge of mathematics becomes essential, not a choice. Thus, mathematicians have been given a role in explaining such mathematics that make these things possible behind AI. Therefore, the authors wrote a textbook 'Basic Mathematics for Artificial Intelligence' by arranging the mathematics concepts and tools needed to understand AI and machine learning in one or two semesters, and organized lectures for undergraduate and graduate students of various majors to explore careers in artificial intelligence. In this paper, we share our experience of conducting this class with the full contents in http://matrix.skku.ac.kr/math4ai/.

• Cartoon and Animation Studies
• /
• s.35
• /
• pp.29-65
• /
• 2014

Visual culture art education (VCAE) seems to be the new paradigm for art education after postmodernism. Getting beyond the traditional art education, VCAE has expanded its scope of interest to include the visual environment that surrounds our life, thus pushing the boundary of art education beyond the traditional fine arts to cover pop culture and visual art. VCAE shares the issues as well as a lot of elements of culture and art education and in fact serves as a major theoretic background for culture and art education, in that it pays attention to the sociocultural context of images and emphasizes visual literacy and constructionist learning. In this paper, I have reviewed the theoretical background and related issues of VCAE with a view to presenting a direction for animation education, which is gaining in importance coming into the Age of Digital Media. VCAE was born in the progressive cultural atmosphere from the 1970s and thereafter, and its gist consists in figuring out visual artifacts and their action in order to improve individual and social life. Yet, VCAE continues with its development according to the changing aspects of visual culture, and currently, it is expanding its scope of interest to cover the esthetic, experiential education in visual culture and construction of meaning through digital story-telling. In the visual environment of the Digital Age, animation is establishing itself as the center of the visual culture, being a form that goes beyond an art genre or technology to realize images throughout the visual culture. Also, VCAE, which has so far emphasized visual communication and critical reading of culture, would need to reflect the new aspects of the visual culture in digital animation across the entire gamut from experiencing to understanding and appreciating art education. In this paper, I emphasize on Cross-Curricula, social reconstruction, the expansion of animation education, interests in animation as a digital media, and animation literacy. A study of animation education from the perspective of VCAE will not only provide a theoretical basis for establishing animation education, but also enrich the content of VCAE, traditionally focused on critical text reading, and promote its contemporary and futuristic orientation.

• Journal of the Korean Society of Earth Science Education
• /
• v.10 no.2
• /
• pp.214-225
• /
• 2017

The first accurate estimate of the Earth's circumference was made by the Hellenism scientist Eratosthenes (276-195 B.C.) in about 240 B.C. The simplicity and elegance of Eratosthenes' measurement of the circumference of the Earth by mathematics abstraction strategies were an excellent example of ancient Greek ingenuity. Eratosthenes's success was a triumph of logic and the scientific method, the method required that he assume that Sun was so far away that its light reached Earth along parallel lines. That assumption, however, should be supported by another set of measurements made by the ancient Hellenism, Aristarchus, namely, a rough measurement of the relative diameters and distances of the Sun and Moon. Eratosthenes formulated the simple proportional formula, by mathematic abstraction strategies based on perfect sphere and a simple mathematical rule as well as in the geometry in this world. The Earth must be a sphere by a logical and empirical argument of Aristotle, based on the Greek word symmetry including harmony and beauty of form. We discuss the justification of these three bold assumptions for mathematical abstraction of Eratosthenes's experiment for calculating the circumference of the Earth, and justifying all three assumptions from historical perspective for mathematics and science education. Also it is important that the simplicity about the measurement of the earth's circumstance at the history of science.

• School Mathematics
• /
• v.18 no.4
• /
• pp.881-901
• /
• 2016

This study is about investigating students' recognition and expression on relationship of 'time, distance, speed' via teaching experiment. In this process, students showed not only a change in perception of the relationship of 'time, distance, speed' but also recognizing the average speed as a viewpoint of the slope of the line connecting the end points of the interval in the distance function as well as another way of perceiving average speed of a height of a rectangle. In this process, the study shows the scene of expanding the relation of 'distance = time ${\times}$ speed' to 'distance = time ${\times}$ average speed', and also the student who makes the continuous reasoning shows the possibility of constructing a new function that can explain the change of the primitive function by allocating the average rate of change to the interval. Although this study was conducted with a limited number of students, this study suggests some implications through the observation of relationship of 'time, distance, speed' the students'. We hope that these results will be the starting point for various studies for constructing the integral learning model in the future.