• The Journal of the Korea Contents Association
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• v.20 no.7
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• pp.212-222
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• 2020

The purpose of this study is to understand the current status and trends of the research studies published by the Society for Industrial and Applied Mathematics which is a leader in the field of industrial mathematics around the world. To perform this purpose, titles and abstracts were collected from 6,255 research articles between 2016 and 2019, and the R program was used to analyze the topic modeling model with LDA techniques and a regression model. As the results of analyses, first, a variety of studies have been studied in the fields of industrial mathematics, such as algebra, discrete mathematics, geometry, topological mathematics, probability and statistics. Second, it was found that the ascending research subjects were fluid mechanics, graph theory, and stochastic differential equations, and the descending research subjects were computational theory and classical geometry. The results of the study, based on the understanding of the overall flows and changes of the intellectual structure in the fields of industrial mathematics, are expected to provide researchers in the field with implications of the future direction of research and how to build an industrial mathematics curriculum that reflects the zeitgeist in the field of education.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.3
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• pp.475-492
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• 2014

The purpose of this study is to analyze the United States Elementary Mathematics textbooks "Everyday Mathematics", focused on area of the probability. The concept of probability as qualitative probability is taught from Kindergarten in EM curricula for progressive mathematising. EM have reflected both perspectives in probability which are a frequency perspective and a classical perspective. And EM includes abundant activities for remedying the misconceptions of probability. On the basis of the results from this analysis, we have five suggestions which are helpful for the revision of the Korean national curriculum.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.153-166
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• 2017

164 preservice elementary teachers' decision and enactment of their knowledge of fraction multiplication were examined in a context where they were asked to write a story problem for a multiplication problem with two proper fractions. Participants were selected from an entry level course and an exit level course of their teacher preparation program to reveal any differences between the groups as well as any recognizable patterns within each group and overall. Patterns and tendencies in writing story problems were identified and analyzed. Implications of the findings for teaching and teacher education are discussed.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.295-308
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• 2007

The purpose of this paper was to investigate the pedagogical content knowledge of a middle school mathematics teacher manifested in his mathematics instruction by identifying the components of the pedagogical content knowledge of the teacher. For the purpose of the study, I conducted an interpretive case study by collecting qualitative data. The results showed that the pedagogical content knowledge of the teacher was characterized by: (a) knowledge of mathematics including connection among topics and various ways of solving problems; (b) knowledge of students' understanding involving students' misconceptions, common errors, difficulties, and confusions; and (c) knowledge of pedagogy consisting of his efforts to motivate his students by providing realistic applications of mathematical topics and his use of materials.

• Journal of Educational Research in Mathematics
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• v.14 no.4
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• pp.387-401
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• 2004

The recent international comparative studies such as PISA(Program for International Student Assessment) and TIMSS-R(Third International Mathematics and Science Study-Repeat) provide results of relative mathematics achievement of participating countries. The purpose of this paper is to compare the mathematics results of PISA and TIMSS-R. To make PISA and TIMSS-R results comparable, they were standardized. The close investigation of these standardized results reveals that the two Asian countries(Korea and Japan) and several English speaking countries have the commonality in mathematics achievement. Thus this study looks for patterns and similarities within a group of Asian countries(Korea and Japan) and Western countries(the U.S and Australia) by in-depth analysis of PISA mathematics achievement based on item response theory. As a result, it was noted that Western countries tend to perform well on open constructed items and are likely to perform better when an item involves less formal mathematics. On the other hand, Asian countries perform well when an item involves numeric or algebraic computation related to curriculum-based content, but they are relative poor at an item calls for verbal explanations or interpretations of graphs.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.371-402
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• 2016

The aim of this study is to compare mathematics curriculum among the United States, Singapore, England, Japan, Australia and Korea and offer suggestions to improve mathematics curriculum of Korea in the future. In order to attain these purposes, the analysis was conducted in many aspects including mathematics education system, mathematics courses, mathematics contents, assessment syllabus for university entrance examination and the construction principles of mathematics curriculum. In the light of the results of this study, our suggestions for improving mathematics curriculum of Korea are as follows: revising the contents of analysis, geometry, probability and statistics strands; organizing curriculum based on spiral construction principle; providing various opportunities to select mathematics courses according to students'career; reflecting the contents of their courses in university entrance examination.

• The Mathematical Education
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• v.62 no.2
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• pp.211-236
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• 2023

The purpose of this study is to derive implications of preservice mathematics teacher education in Korea by analyzing the case of edTPA used in the preservice teacher training process in the United States. Recently, there has been a growing interest in promoting professional competencies considering not only the cognitive dimension related to knowledge development of preservice mathematics teachers but also the situational dimension considering reality in the classroom. The edTPA in the United States is a performance-based assessment based on lessons conducted by preservice teachers at school. This study analyzes the professional competencies required of preservice mathematics teachers by analyzing handbooks that described the case of edTPA in which preservice mathematics teachers in the United States participate. The edTPA includes planning, instruction, and assessment tasks, and continuous tasks are performed in connection with classes. Thus, the analysis is conducted on the points of linkage between the description of evaluation items and criteria in the planning, instruction, and assessment tasks, as well as the professional competencies required from that linkage. As a result of analyzing the edTPA handbooks, the professional competencies required of preservice mathematics teachers in the edTPA assessment were the competency to focus on and implement specific mathematics lessons, the competency to reflectively understand the implementation and assessment of specific mathematics lessons, and the competency to make a progressive determination of students' achievement related to their learning and their uses of language and representations. The results of this analysis can be used as constructs for competencies that can be assessed in the preservice in the organization of the preservice mathematics teacher curriculum and practice training semester system in Korea.

• Journal of the Korean School Mathematics Society
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• v.7 no.1
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• pp.19-35
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• 2004

In this study was conducted to investigate the detail of mathematics education programs of America, Russia, Singapore and Israel where the education system for the geniuses has already been established. So the final results concluded from the comparative analysis of foreign and Korean mathematics education programs for the geniuses were suggested to be implemented for improvement and organization of the Korean mathematics education programs for our mathematical geniuses.

• Communications of Mathematical Education
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• v.10
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• pp.303-324
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• 2000

수학 교육에서 새로운 정보기술의 교육적 사용의 범위는 커지고 교육 모형은 다양해지고 있다. 특히 중등 수학교육에서의 변화에 대한 기대도 커지고 있다. 본 논문은 미국 및 한국의 수학 교육계의 폭넓은 지지를 받는 NCTM의 컴퓨터 및 정보기술 활용에 관한 규준들의 교육적 의미, 방법, 효용 등을 정리하였다. 이어서 컴퓨터과학 교과과정에 포함된 수학 분야에 대한 컴퓨터과학자 Hamming의 견해를 소개하였다. 본 논문은 한국의 중등 교육에도 컴퓨터과학 교과가 시행될 것을 예정하면서 수학 교사들이 미리 컴퓨터과학을 교과과정을 이해함으로 통합 교과적 요소, 특성 그리고 역할 관계를 알아보았다.

• Journal of the Korean School Mathematics Society
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• v.20 no.2
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• pp.163-186
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• 2017

The purpose of this paper is to propose the policy change of teachers education in Korea with an analysis of America statistical literacy education. we found the difference of statistical literacy education between Korea and America with each nation's social and educational environment. We can get the need of new change for statistic teacher's education in Korea. We think of Mathematics teachers should know about the difference between statistics and mathematics at school mathematics. And they should know the new change thinking about teaching method and process assesment methods. Second, Teachers should focused on teaching of problem solving and statistical thinking ability based on data analysis than the teaching of probability and mathematical theory.