• Journal of Korean Society for Quality Management
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• v.24 no.3
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• pp.50-64
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• 1996

This article is concerned with procedures for detecting multiple y outliers in linear regression. The outward-testing procedure, which is controled by the initial subset and the minimum residuals, is suggested by two phases. The performance of this procedure is compared with others by Monte Carlo techniques and found to be superior. The procedure, however, fails in detecting y outliers that are on high-leverage cases in Phase 1. Thus, we proposed ELMS algorithm for a set of suspect observations, in Phase 1. In Phase 2, the proposed testing is conducted using the studentized residuals to see which of the suspect cases are outliers. Several examples are analyzed.

• Communications of Mathematical Education
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• v.22 no.2
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• pp.109-124
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• 2008

A characteristic of the national mathematics curriculum revised in 2007 is to repeal the level-oriented individualized curriculum and choose substance of individualized teaching and learning based on the student's achievement level and quality. To do this we first have to think through how to compare students' achievement and differentiate classes. In this paper, we introduce the (modified) Angoff method as a method for comparing students' achievement and the concept of representative items for each achievement level in the National Assessment of Educational Achievement of Mathematics, and discuss how to use them in individualized teaching and learning, especially comparing students' achievement.

• Journal of the Korean School Mathematics Society
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• v.19 no.2
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• pp.177-196
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• 2016

In this paper, we analyze the influence of mathematics teaching-learning for high level math problems of A-type of mathematics section on the College Scholastic Ability Test(CSAT). To analyze the influence, we compare and analyze units and field of questions set at examinations based on the rate of wrong answers in A-type mathematics test of the CSAT from 2012 to 2016. Also, we study the recognition of academic high school students and teachers about units and fields on math which need to allow more time to improve grade for A-type of mathematics section on the CSAT. We found following facts. First, high level math problems determining rank of high rank students on the CSAT was taken mostly from the unit related a exponential function and a logarithmic function. Second, these problems need more time for a calculation rather than an ability for students to deepen their understanding of the concept and quality of education. Third, high rank students spend a lot of time to study more important units and fields of mathematics on the CSAT such as a exponential function and a logarithmic function, and teachers spend a lot of time to teach them.

• Journal of Gifted/Talented Education
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• v.17 no.1
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• pp.77-98
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• 2007

It has been said that the level of teacher professionalism determines the quality of education. The same notion allies for gifted education. Therefore, exploration of teacher professionalism in gifted education may provide fundamental bases for raising the quality of gifted education. In this study, first, literature review was conducted to extract elements of teacher professionalism in gifted education and a survey instrument was developed to find out categories of those elements and differences of teacher perception to professionalism at school levels and subject areas of gifted education. Research subjects included 212 teachers who participated in 2005 KEDI teacher training program of gifted education, 60 hour-clock introductory program and 232 teachers who participated in 2005 KEDI teacher training program of gifted education, 120 hour-clock enrichment program. It was found that elements of teacher professionalism in gifted education were categorized into knowledge-based, abilitybased and context-based. It was also found that secondary school teachers' perception to knowledge-based professionalism was significantly higher than those at elementary and science teachers' perception to ability-based and context-based professionalism was significantly higher than mathematics teachers. The research findings may provide insights for better teacher training program in gifted education as well as gifted education policies.

• Communications of Mathematical Education
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• v.35 no.2
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• pp.137-152
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• 2021

Qualitative research has become a growing area of interest among the Korean educational researchers for the last two decades. As a consequence, the number of studies based on qualitative methods has rapidly increased while the quality of qualitative research has not gained much credit among scholars in Korea. This study explores to current practice of qualitative approaches in mathematics education-related studies. With this in mind, this study also seeks ways to improve the validity and trustworthiness of qualitative approaches, and to present implications for the practical practice of qualitative approaches in mathematics education. To this end, a general trend was investigated by conducting a basic analysis of 13 papers that used qualitative approaches and published in Communications of Mathematical Education from 2019 to 2020. Of the 13 papers. Through the basic analysis, 6 out of 13 papers were selected as the object of qualitative text analysis. The result of this qualitative text analysis discusses issues related to the validity and trustworthiness of qualitative research in a detailed manner. In conclusion, based on the results of this qualitative text analysis, this study suggests several key points to keep in mind when applying qualitative approaches in the field of mathematics education in the future.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.2
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• pp.263-289
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• 2017

New mathematics textbooks for elementary school students are under development according to the 2015 national revised curriculum. Not only contents but also framework of textbooks may be interesting to the mathematics educators and researchers. Considering the high dependency on textbooks in elementary classrooms, the influence of the framework of textbooks in mathematics learning cannot be overlooked. The unit and lesson frameworks of the textbook are important because they are directly related to the quality of mathematic lessons, especially when teachers make a lesson plan based on the unit and lesson frameworks of the textbook. This study is to analyse the unit and lesson frameworks of elementary school mathematics textbooks and to find out elementary school teachers' preference about its analysed key points. For longitudinal analysis, we selected 3rd-grade mathematics textbooks of 5th, 6th, 7th, the 2007, and the 2009 national revised curriculums. For horizontal analysis, we selected 3rd-grade mathematics textbooks of Korea, Japan, United States and Finland. We compared unit and lesson frameworks of various textbooks, and abstracted key elements of the textbook frameworks, and constructed survey questions. Looking at results from survey questions based on analysed key points, we were able to grasp the teachers' preference for unit and lesson frameworks for mathematics textbook. Based on the results of this study, some implications for the development of framework for new mathematics textbooks are suggested.

• Research in Mathematical Education
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• v.22 no.4
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• pp.305-318
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• 2019

To improve students' classroom engagement is not only the demand of curriculum revolution, but also the reflection of learning democracy. Students' responses and thinking are the main manifestations of students' participation in classroom learning. To reduce the amount of questions and increase the opportunities and time for students to think, this study, by employing SPSS, makes attempts to analyze the data by using multivariate GLM analysis to explore the effects of students' responses and thinking on learning results. The results indicated the students learning effect will be promoted through reducing the quantity and increasing the quality of question and adding the thinking opportunities.

• School Mathematics
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• v.17 no.1
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• pp.135-156
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• 2015

There is a difference in quality between transition from elementary school to junior high school and the simple change of grades. This time is also a critical time that many students would be to abandon the mathematics. According to experience in conjunction with mathematics, this timing can be either bright or dark outlook with relation to mathematical development. Thus, at this turning point, it is necessary to analyze what changes the students are experiencing in teaching and learning mathematics, what such changes effect the students, whether or not there is room for improving such changes etc. Therefore, in this study, by comparing and analyzing math lessons of 6th grade in elementary school and 1st grade in junior high school, we investigate the difficulties of teaching and learning mathematics experienced by students who have been placed in the turning point and suggest implications to help them to land softly into junior high school.

• Education of Primary School Mathematics
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• v.20 no.1
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• pp.37-52
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• 2017

The purpose of this thesis is to analyze the current status of a program for an elementary math class for gifted students in Daegu and to propose a remedy. The main results of this thesis are as follows. First, goals of the gifted class and the basic operation direction were satisfactory, however plans for parent training programs and self evaluation of the classes were not presented. Therefore, it needs when and how to do for specific plan of gifted class evaluation and parent training programs. Second, The annual instruction plan has been restricted to the subject matter education and field trips and has not included specific teaching methods in accordance with the contents of learning program. The management of gifted classes, therefore, requires not only the subject matter education and field trips but also output presentations, leadership programs, voluntary activities, events and camps which promote the integral development of gifted students. Third, there is no duplication of content to another grade, and various activities did not cover the whole scope of math topics(eg. number and operation, geometry, measurement, pattern) equally. In accordance with elementary mathematics characteristics, teachers should equally distribute time in whole range of mathematics while they teach students in the class because it is critical to discover gifted students throughout the whole curriculum of elementary mathematics. Fourth, as there are insufficient support and operational lack of material development, several types of programs are not utilized and balanced. It is necessary for teachers to try to find the type of teaching methods in accordance with the circumstances and content, so that students can experience several types of programs. If through this study, we can improve the development, management and quality of gifted math programs, it would further the development of gifted education.

• School Mathematics
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• v.12 no.2
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• pp.113-136
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• 2010

According to the self-assessment tool identifying teacher's competence in assessment, many teachers have difficulty in making assessment tools. This study analyzes the types of modification with data of NAEA(National Assessment of Educational Achievement) items from 2006 to 2008. NAEA goes through complicated formalities from begin to make draft items to completing them. This study shows the types of item modification and its specific examples. NAEA analyzes the degrees of studuents' achievement according to the educational objectives of the National Curriculum. This study provides specific comments on making mathematics assessment items to the teachers who embody national curriculem. Therefore this study will contribute to improve mathematics teacher's professional competence in the area of assessment tool development.