• Research in Mathematical Education
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• v.23 no.2
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• pp.93-111
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• 2020

The purpose of this study was to examine mathematics teachers' perceptions of multicultural education. To achieve this goal, the study explored how 10 elementary mathematics teachers noticed multicultural content in a mathematics textbook. Building upon noticing framework (Jacobs, Lamb, & Philipp, 2010), we first examined teachers' attention toward multicultural content in a mathematics textbook. Then, we examined teachers' interpretation of the content. We employed a content analysis approach to examine the collected data. The results indicated that most mathematics teachers held a content integration perspective. Their view was that "multicultural education" referred to learning about the diverse cultures of different countries. Moreover, although they noticed some multicultural content in the textbook, they wanted to discuss them in superficially descriptive ways and avoid talking about social justice issues. Additionally, some teachers believed that mathematics is a culture-free subject. They argued that multicultural content should not be presented in mathematics textbooks. We also discussed uncommon themes, which were reported by only a few mathematics teachers.

• Education of Primary School Mathematics
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• v.9 no.2 s.18
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• pp.89-105
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• 2005

The purposes of this study were to develop an effective teaching material for slow learners in mathematics and to investigate its effect. To achieve the first goal, several pre-used teaching material and the 7th national curriculum for elementary school mathematics were analyzed to set up a framework fur developing new teaching material. Using these developed framework and curriculum data, 370 units of lesson were developed from the 3rd grade to the 6th grade. To investigate the effect of the material, 3 slow learners (2 from the 5th and 1 from the 6th grade) were selected through diagnostic tests. Then supplementary lessons were administered after school to relieve their disability accordingly for seven months. During the lessons(lasted about 40 minutes), teacher observed the subjects in detail and .judged the teaming sequence and the learning pace. Through this observation and the test administered after the treatment, several conclusions were drawn as follow: First, the supplementary lessons using the developed teaching material helped slow learners understand mathematics and solve problems. Especially, the test scores gained on formative evaluation became higher. This might be caused by the material that enabled to relieve the disablement and the teaching method that aimed to give a meaningful mathematical experience. Second, the supplementary lessons affected positively to the affective domain of the slow learners. They convinced themselves to their mathematical ability and became active in their mathematics class. This was observed by researcher and the class teacher in their lessons. Positive attitude toward mathematics and their ability is quite important for mathematics learning especially fur slow learners in mathematics.

• School Mathematics
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• v.11 no.1
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• pp.1-15
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• 2009

Some researchers (Jones et al., 1997; Tarr & Jones, 1997; Tarr & Lannin, 2005) have worked on students' probabilistic thinking framework. These studies contributed to an understanding of students' thinking in probability by depicting levels. However, understanding middle school students' probabilistic thinking is limited to the concepts in conditional probability and independence. In this study, the framework to understand middle school students' thinking in probability is integrated on the works of Jones et al. (1997), Polaki (2005) and Tarr and Jones (1997). As in their works, depicting levels of probabilistic thinking is focused on the concepts and skills for students in middle school. The concepts and skills considered as being necessary for middle school students were integrated from NCTM documents and NAEP frameworks.

• Kyungpook Mathematical Journal
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• v.55 no.4
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• pp.933-951
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• 2015

In this paper, we consider the problem of convergence of an iterative algorithm for a general system of variational inequalities, a nonexpansive mapping and an ${\eta}$-strictly pseudo-contractive mapping. Strong convergence theorems are established in the framework of real Banach spaces.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2009.01a
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• pp.400-403
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• 2009

EAP (Extensible Authentication Protocol) is often used as an authentication framework for two-party protocol which supports multiple authentication algorithms known as "EAP method". And PKMv2 in 802.16e networks use EAP as an authentication protocol. However, this framework is not efficient when the EAP peer executing handover. The reason is that the EAP peer and EAP server should re-run EAP method each time so that they authenticate each other for secure handover. This makes some delays, so faster re-authentication method is needed. In this paper, we propose a new design of the PKMv2 framework which provides fast re-authentication. This new framework and usage of the keys which used as a short-term credential bring better performance during handover process.

• School Mathematics
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• v.15 no.2
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• pp.243-262
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• 2013

This study attempts to create an analytical framework of the transformation and transmission of knowledge by teachers to students. I focuses on the assertion that the cognitive thinking of a teacher is reflected in his use of mathematical language. Mathematical language is one of the critical elements of communicating mathematical knowledge to students. I examined the cognitive teaching style of different teachers as expressed in their use of mathematical language. An analytical framework of Mathematics Teaching styles was created integrating thinking factors of each visual and analytic style into 5 categories. After that, I regarding the teaching style of mathmatics teachers places its significance not on which teaching style is right or wrong but on identifying the strong and weak points of the teaching styles through actual analysis. With the help of this analytical framework, I conducted an analysis on the videotaped classes and found that the teachers were not biased to one side but in fact there were teachers who demonstrated visual, analytic or mixed teaching style. Therefore, I concludes that math teachers can analyze their teaching styles and improve them through the analytical framework provided in these findings.

• The Mathematical Education
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• v.45 no.2 s.113
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• pp.205-215
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• 2006

One of the most important concepts in the 7th curriculum of Korea is the student-centered education. Since educational evaluation has significant influence on the whole curriculum, if we realize the importance of the student-center education on the curriculum we should establish the student-centered educational evaluation system. Educational evaluation is defined by the theory of information to permit information users to identify, to measure, to manipulate and to communicate useful educational information concerning an educational curriculum for making decisions. If we accept the above definitions, the demands of information users are significant in the light of conceptual framework of educational evaluation. The purpose of this study is to analyze the conceptual framework of educational evaluation from information users' perspectives and to investigate the qualitative characteristics which satisfy information users' need for making decisions. We also show that students aren't provided sufficient evaluation results information to decide for their study plans by analyzing an evaluation study of the 7th primary curriculum. Finally, this study suggests how to improve an evaluation system for students in mathematics.

• Educational Technology International
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• v.14 no.1
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• pp.75-108
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• 2013

The purpose of this study is to find a way to improve digital textbooks for self-regulated learning by applying cognitive scaffolding designs to an elementary math digital textbook and examining the effectiveness of the system. Hence this study was conducted in two steps. First, a framework for scaffolding design was devised by examining the problems and difficulties students encounter when using a mathematics digital textbook. Second, after the digital textbook was revised by applying the scaffolding design frameworks, the effectiveness of the scaffolding framework was examined by comparing students' achievement levels in an experimental group and that of students in a control group. Seventy fifth-graders participated in this study. Students were divided into two groups: an experimental group and a control group. The students in the experimental group studied with the revised version of the digital textbook and the students in the control group studied with the original version of the digital textbook. The students received a pretest before the experiment. After the experiment, they took an achievement test and completed a usability questionnaire. The data were analyzed by ANCOVA with the SPSS Windows version. The results revealed that the students who used the revised program (to which design strategies for scaffolding were applied) showed higher levels of achievement than those who used the original version. In addition, students in the experimental group generally showed higher scores on the usability survey, which consisted of four sub-categories such as 'effectiveness', 'efficiency', 'satisfaction', and 'learnability'. There was a statistically significant effect on 'efficiency'. These results implied that scaffolding strategies were effective for mathematics learning through the use of an elementary digital textbook.

• Research in Mathematical Education
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• v.24 no.1
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• pp.49-67
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• 2021

In this study, the researchers analyzed the 2015 revised 3rd~6th grade Korean mathematics textbooks from the aspects of social justice in mathematics education. For this study, the researchers constructed a textbook analysis framework for social justice subjects, which categorized by social issues, economy education, democratic education, personality education, safety education, environmental education, and career education. As a result, the 2015 revised elementary mathematics textbooks were reflected the subject matter of social justice in the order of social issues, economic education and democratic education, personality education and environmental education, safety education and career education. Also, the subject of social justice appears in all 3rd~6th grade mathematics textbooks, but it is not explicitly dealt with by combining it with mathematical content. The researchers suggested that mathematics lessons should be developed including social justice issues aligned with elementary mathematics contents.

• The Mathematical Education
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• v.60 no.2
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• pp.209-228
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• 2021

The purpose of this study is developed the Item Feature Analysis (IFA) frameworks for curriculum-based assessments, focusing on Math competency and representation in secondary schools and implemented the IFA in National Assessment of Educational Achievement. To conduct the study, previous studies were analyzed, and feasibility studies were conducted twice. As a result of the study, we structured the IFA framework based on the 2015 revised mathematics curriculum in Korea and developed a method to analyze the characteristics of the math items. The results of structuring the framework for math included two categories: math competency in the content aspects, and representation type in the formal aspects. Specifically, 12 features of math competency and 8 features of representation type were identified, and an item feature analysis framework composed of these features was developed. The math competency was developed based on the subject competency of 2015 national curriculum. Math assessments in high schools, which have been changed to the competency-based assessments, had more frequency of the feature of math competency compared to middle schools. In this study, implemented the IFA in National Assessment of Educational Achievement and explored the way of ensuring the validity. These have been proved as critical applications for ensuring the validity of curriculum-based student assessment as well as building a tool for assessment.