• The Mathematical Education
• /
• v.42 no.5
• /
• pp.697-706
• /
• 2003

In this paper we consider the equality sign as a mathematical concept and investigate its meaning, errors made by students, and subject matter knowledge of mathematics teacher in view of The Model of Mathematic al Concept Analysis, arithmetic-algebraic thinking, and some examples. The equality sign = is a symbol most frequently used in school mathematics. But its meanings vary accor ding to situations where it is used, say, objects placed on both sides, and involve not only ordinary meanings but also mathematical ideas. The Model of Mathematical Concept Analysis in school mathematics consists of Ordinary meaning, Mathematical idea, Representation, and their relationships. To understand a mathematical concept means to understand its ordinary meanings, mathematical ideas immanent in it, its various representations, and their relationships. Like other concepts in school mathematics, the equality sign should be also understood and analysed in vie w of a mathematical concept.

• Journal of Elementary Mathematics Education in Korea
• /
• v.18 no.2
• /
• pp.211-236
• /
• 2014

The purpose of this study is to investigate teacher's knowledge of concept of equality and derive implications about proper teaching methods. To solve these study problems, three elementary school teachers are chosen for this study, and a pencil-and paper tests for comprehension of the equality concept targeting 72 students for elementary school that the teachers are in charge of the students was carried out. Also, The semi-structured interview(using a questionnaire) was conducted for analyzing of the teachers' knowledge of the equality concept. The findings are as follows. First, during the lesson, the teachers' reading of equal sign has a decisive effect on the students' the way of reading. Second, teachers tend to interpret the concept of equality as a systematic analysis rather than a relational analysis, and use a equal sign focusing on meaning of 'same result'. So, Students also can't interpret the concept of equality as a relational analysis. Third, under the influence of teacher's feedback or reaction, making the mistake of the using equal sign of students reoccurred continually. Fourth, teachers misjudged some of examples of the nonstandard context equation for teaching elementary school students. Furthermore, during the lesson, they usually used a limited equality context. So, students can't have a chance to learn equality in a plenty of context. Thus, the knowledge of teachers and their lesson has decisive influence on the comprehension of students about the equality concept. So, Teacher has to focus on the meaning of the equality as a relational analysis and teach them in a plenty of context. With this, lots of study and in-service training are needed to enhance knowledge of teachers. And more of lesson programs and materials have to provided on the instruction manual for teaching the meaning of the equality.

• School Mathematics
• /
• v.10 no.4
• /
• pp.537-555
• /
• 2008

The study aims to analyze elementary school students' understanding of the concept of equality sign in contexts, to reflect the types of contexts for equality sign which mathematics textbook series for $1{\sim}4$ grades on natural numbers and its operation provide, and to invetigate the effects of teaching methods of the concept of equality sign suggested in this research. In order to achieve these purposes, the origin, concept, and contexts of equality sign were theoretically reviewed and organized. Also the error types in using equality sign were reflected. Modelling, discussing truth or falsity of equations, identifying relations between numbers and their operation, conjecturing basic properties of numbers and their operations, experiencing diverse contexts for equality sign, and creating contexts for equality sign are set up as teaching methods for better understanding the concept of equality sign. The conclusions are as follows. Firstly, elementary school students' under-standing of the concept of equality sign varied by context and was generally far from satisfactory. In particular, they had difficulties in understanding the concept of the equal sign in contexts with operations on both sides. The most frequently witnessed error was to recognize equality sign as a result of operations. Secondly, student' lack of understanding of the concept of equality sign came from the fact that elementary textbooks failed to provide diverse contexts for equality sign. According to the textbook analysis, contexts with operations on the left side of the equal sign in the form of $a{\pm}b=c$ were provided excessively, with the other contexts hardly seen. Thirdly, teaching methods provided in the study were found to be effective for enhancing understanding the concept of equality sign. In other words, these methods enabled students to focus on relational understanding of concept of equality sign rather than operational one.

• Philosophy of Education
• /
• no.58
• /
• pp.33-56
• /
• 2016

Multicultural education is what educates the comprehension about social structure, social criticism, and an ideology of participatory democracy. A discussion about equality education based on the ethic of equal caring so that individual life is in harmony with communal life has very important meaning to actualize the equality of multicultural community. Therefore, this study explored 'caring in education' as care community which takes care of self and the inner circle as well as provides care of others. I analyze Walzer's concept of Complex Equality that criticizes the social alchemy in which man possesses various social goods through the possession of one good, namely the dominant good. Next, I discuss Noddings's caring in education which examined, focusing on the possibility that caring in education can be the new curriculum that every student is able to pursue excellence.

• Journal of the Korea Academia-Industrial cooperation Society
• /
• v.19 no.7
• /
• pp.222-230
• /
• 2018

This paper examines gender trouble in the future society from Huxley's Brave New World, in which science is highly developed. In addition, I examined how gender equality was achieved in the World State in which equality and identity were emphasized, and considered the precise meaning of gender equality. Superficially, there are many gender inequality factors in the Reservation, and gender equality is achieved in the World State. However, if we look closely at the World State, we realize that they deprive individual rights under the name of social stability. Therefore, we should reconsider what real gender equality is, and we need to examine what is needed to achieve gender equality.

• Education of Primary School Mathematics
• /
• v.23 no.1
• /
• pp.45-61
• /
• 2020

The concept of equality is given as a way of reading the equal sign without dealing it explicitly in elementary school mathematics. The meaning of the equal sign can be largely categorized as operational and relational views. However, most elementary school students understand the equal sign as an operational symbol for just writing the required answers. It is essential for them to understand a relational concept of the equal sign because algebraic thinking in middle school mathematics is based on students' understanding of a relational view of the equal sign. Recently, the relational meaning of the equal sign is emphasized in arithmetic. Hence it is necessary for elementary school students to have some activities so that they experience a relational meaning of the equal sign. In this study, we investigate the meaning of the equal sign and contexts of the equal sign in elementary school mathematics to discuss explicit ways to emphasize the concept of equality and relational views of the equal sign.

• The Transactions of the Korea Information Processing Society
• /
• v.5 no.5
• /
• pp.1185-1203
• /
• 1998

When the class is added of deleted in object-oriented system, restructuring of class hierarchy is needed which enables new relationship with classes. But existing system requires much additional analysis costs because it is difficult to know the meaning between parent class and child class. This paper presents the updates method based on semantic modification through new relationship classification method. This method measures the similarity of classes and based on it's relationship, this method restructures class hierarchy by classifying not-equality, part-of, equality, inclusion, subset relation. This method can minimize the probability of meaning error for classes when the class hierarchy is changed. Also this enhances the reusability and understandability through various graphic and text processing.

• The Research Journal of the Costume Culture
• /
• v.13 no.3 s.56
• /
• pp.391-405
• /
• 2005

This study puts emphasis on showing the change of Stripe Pattern, which has been popular for a long period of time in many societies, with change in time, assessing its value as an art. During medieval period, Strife Pattern had a strong negative meaning as a sign of disgrace or inferiority, or had been used as discrimination against a mental or a sinner, who had been rejected or banished from the society. Through French Revolution, Stripe Pattern has become a symbol of liberty and equality, furthermore, the notion of society as well as countries. This event had positively affected on reevaluating its image, from inferior, negative to significant, artistic. Eventually the variety of aesthetic values of Stripe Pattern led its way to the variation of its functional value expanding its use other than fashion industry. It is anticipated that our fashion industry will flourish in creating new, creative design by understanding design and appreciating their aesthetic values with their applications to human sensibility.

• Journal of Fashion Business
• /
• v.15 no.2
• /
• pp.39-56
• /
• 2011

The jeans fashion has important meaning as the symbol of sociocultural phenomenon related with modern fashion. It became the symbol of natural fashion beauty representing freedom and equality and sometimes the sensual style. This study defined the meaning, element, and importance of fashion styling by analyzing preliminary studies and analyzed the aesthetic characteristics of the jeans fashion. The purpose of this study is to drive four styling patterns of the jeans fashion based on such theoretical studies and empirical researches about jeans fashion and plan and direct jeans fashion styling for each style. The results also provides the basis for acknowledging that the idea of 'directing and creating a style' according to a person's intent beyond the one-dimensional idea of simply 'wearing' clothes is the true fashion styling and will set an important footing in the fashion field with the ideas that fit the 21st century.

• The Journal of the Convergence on Culture Technology
• /
• v.5 no.1
• /
• pp.119-125
• /
• 2019

Traditionally, the definition of a republic in the constitutional sciences has remained passive, identifying whether or not a king exists. However, this is not an accurate understanding. Reinterpreting the meaning of the Republic at this point is expected to play a role in easing the side effects of neo-liberalism. It is more important than anything to establish a concrete picture of what a republic is in reinterpretating its meaning. Therefore, the main content of this paper is to clarify it by presenting requirements for the Republic.