• Communications of Mathematical Education
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• v.37 no.1
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• pp.21-45
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• 2023

This study presents a machine learning program designed to identify impactful papers in the field of mathematics education. To achieve this objective, we examined the impact of papers from a scientific econometrics perspective, developed a mathematics education research network, and defined the impact of mathematics education research using PageRank, a network centrality index. We developed a machine learning model to determine the impact of mathematics education research and identified the journals with the highest percentage of impactful articles to be the Journal for Research in Mathematics Education (25.66%), Educational Studies in Mathematics (22.12%), Zentralblatt für Didaktik der Mathematik (8.46%), Journal of Mathematics Teacher Education (5.8%), and Journal of Mathematical Behaviour (5.51%). The results of the machine learning program were similar to the findings of previous studies that were read and evaluated qualitatively by experts in mathematics education. Significantly, the AI-assisted impact evaluation of mathematics education research, which typically requires significant human resources and time, was carried out efficiently in this study.

• Journal of Educational Research in Mathematics
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• v.11 no.2
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• pp.321-340
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• 2001

The researcher compared the curricula, the textbooks, the methods of didactic transposition, teacher practices of elementary and secondary mathematics education. The study reviewed several mathematics education theories in the aspect of the differences between the two levels. Findings from this study show a little difference between elementary and secondary mathematics education. There are special difficulties in didactic transposition in elementary mathematics education since it is so far from scientific mathematics. From this study we can conclude that further research needs to be done in the area of development of perspectives on elementary mathematics education.

• Communications of Mathematical Education
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• v.28 no.3
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• pp.303-320
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• 2014

The purpose of research is to analyze research trends and methods in a total of 709 studies published in five domestic mathematics education journals issued by Korea Citation Index (KCI) for the last 10 years (2003-2013) and strands in stages of research methods among mixed methods studies. As a result, the majority of articles in the five journals used either qualitative or quantitative methods and mixed methods research was less than 10 % of the total number of studies. The majority of mixed methods was research equally mixing qualitative and quantitative methods. The mixed methods research consisted primarily of quantitative with descriptive statistics and very little qualitative with conceptual framework based on theoretical background. Our results provide not only trends of the current research methods, but also implications for various future research paradigms in mathematics education.

• The Mathematical Education
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• v.50 no.3
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• pp.285-308
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• 2011

The objective of this study is to review how researches on mathematics education are being conducted currently in Korea and overseas and to examine the current state of domestic researches on mathematics education from a broader view. Although many efforts have been made to understand trends in researches on mathematics education, there have been few in depth studies on research trends in overseas or for comparison between domestic and overseas trends. Thus, this study classified and analyzed 181 domestic articles between 2005 and 2009 in the journals and and 201 overseas articles in the journals and according to year, research area, research contents, school level, research method, and key words using the PME classification system with some modification. Through these analysis, we examined research trends on secondary mathematics education in Korea and overseas. The research findings are as follows. First, 'teaching learning process' was a spotlight area both at home and overseas, and 'realistic mathematics' and 'social cultural subjects' were not covered much either at home or overseas. 'Mathematical communication' occupied a very small portion in Korea but was a highly interesting area in overseas research. Second, research contents of interest were different between Korea and overseas. Research on general area was the mainstream. But geometry and statistics were mainly studied in Korea and algebra and analysis in overseas. Third, research related to middle school was twice more than that related to high school in Korea, But, research related to middle school was the same as high school in overseas. Fourth, qualitative research was the absolute majority both at home and overseas, and philosophical didactical analysis was used only in Korea. Fifth, the order of key words were problem solving - teacher - curriculum - creativity - textbook in Korea, but teacher - teaching - semiotic - affective factor - proo f- problem solving - technology in overseas.

• Communications of Mathematical Education
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• v.26 no.4
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• pp.383-408
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• 2012

This study is to review phenomenology as a legitimate research methodology in mathematics education. Phenomenology is considered a perspective which will be able to provide varieties of viewpoints for mathematics education. Phenomenology is a research about phenomena and experience, and phenomenological research is to reveal the meanings from persons who experience something that researcher is interested in. Through such review, this study is to identify if phenomenology has potential possibility to open as a qualitative research methodology in mathematics education. In order to doing this, this study has reviewed the trend of qualitative research methods in mathematics education, major concepts of phenomenology, phenomenological attitudes for phenomenological research, and the methods and procedures for phenomenological research. The major conclusions are as the followings: the focus of lived-experience in mathematics education, the importance of recognizing life world in mathematics education, and the essence of general phenomena and the meanings of experience general in mathematics education.

• The Mathematical Education
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• v.40 no.1
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• pp.125-137
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• 2001

We review the mathematics education in Korea just after the 1595 Liberation and the first, second curriculum announced in 1955 and 1963, respectively. The 3rd curriculum announced in 1973 is influenced by “New Mathematics” in America. There were theoretical research about “New Mathematics”, but no experimental research about it in the school. So, there was not much effect of “New Mathematics” in mathematics education. After that we have the 4th, 5th and 6th curriculum which is improved by the result of experience in teaching. The 7th curriculum announced in 1997 emphasized practical mathematics. In this paper, we review the mathematics education and consider some problems in the 7th curriculum. We also consider some problems in mathematics textbook authorization under the 7th curriculum. To solve these problems, we suggest some facts. Especially, we need the philosophy about mathematics education and the enough knowledge about “Mathematics for Mathematics Teachers”.

• East Asian mathematical journal
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• v.36 no.2
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• pp.115-129
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• 2020

In order to overcome the heterogeneity of mathematics education in South Korea and North Korea in preparation for the future integration of North and South Korea, research on North Korean mathematics education needs to be studied qualitatively in various aspects and fields. In order to do this, it is necessary first to elaborate and analyze the results of the research on North Korean mathematics education reported so far, to find important implications and find out the research fields that have been neglected in the meantime. Therefore, this study analyzed the trends of previous studies for establishing the direction of future studies on mathematics education in North and South Korea. As a result, it can be seen that the study on North Korean mathematics education in Korea is limited to curriculum analysis, textbook comparison, and comparison of mathematical terms between North and South.

• Research in Mathematical Education
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• v.1 no.1
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• pp.35-42
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• 1997

Activation of comparative studies on mathematics education is discussed. Some related researches are reported on. Some suggestions for effective research are given.

• The Mathematical Education
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• v.49 no.1
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• pp.67-83
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• 2010

The purpose of this study was to analyze the research trends of elementary mathematics education with regard to the topics, methods, subjects, and mathematical contents of such research. For this purpose, the papers published in domestic journals during the recent 5 years (2004-2009) were analyzed. A total of 383 papers from 8 professional journals were analyzed with the 4 criteria. First, the frequent research topics included instructional design and methods, learners' perspectives and abilities, and analysis of curriculum and textbooks in order. Second, qualitative research methodology was used twice as many as quantitative one. Whereas a survey was the most frequent quantitative research method, content analysis and case study were for qualitative methods. Third, research subjects included mainly typical students, specifically fifth and sixth graders. Papers dealing with lower graders or low-achievers as well as pre-service teachers were rare. Lastly, whereas the research on geometry as well as number and operations was active, that of measurement as well as probability and statistics was not. On the basis of these results, this paper includes several implications for the future research direction in elementary mathematics education.

• Research in Mathematical Education
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• v.7 no.1
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• pp.1-10
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• 2003

This research reviewed literatures on proof in mathematics education. Several views of proof can be classified (and identified) such as psychological approach (Platonism, empiricism), structural approach (logicism, formalism, intuitionism) and social approach (ontology, axiomatic systems). All these views of proof are valuable in mathematics education society. The concept of proof can be found in the form of analytic knowledge not of constructive knowledge. Human beings developed their knowledge in the sequence of constructive knowledge to analytic knowledge. Therefore, in mathematics education, the curriculum of mathematics should involve the process of cognitive knowledge development.