• 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.

• Journal of Educational Research in Mathematics
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• v.9 no.1
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• pp.51-80
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• 1999

The paper reviews of the constructivist view of mathematics and mathematics education. First of all, we shall study how mathematics has been treated as an object of cognition in philosophy or cognitive theories, what is changed in modern mathematics. It can lead us to understand the constructivist perspective on mathematics. Secondly, we will examine the view, the teaching and learning principles of mathematics education based on constructivism. Didactic transposition theory will be used as a frame of reference for this examination.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.65-76
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• 2004

Even though mathematics and music play very different roles in our society, they are closely related to each other. In this paper, we studies relations between mathematics and Korean traditional music, and give some ideas to use such relations in mathematics education.

• School Mathematics
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• v.13 no.3
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• pp.525-542
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• 2011

As teachers need to understand how to select and use technology in mathematics education, analysis on history, characteristics, and effects of various technology used in school mathematics will facilitate effective use of technology. This thesis aims to analyze through literary studies the history, characteristics, and effects of using spreadsheets Excel, dynamic geometry softwares GSP, Cabri and CAS, the most commonly used technology in teaching and learning mathematics in Korea. And we also study the current trends on using technology in mathematics education in Korea by investigating research trend, secondary mathematics curriculums past and present in Korea, mathematics textbooks, and classroom environments.

• Journal of Elementary Mathematics Education in Korea
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• v.12 no.2
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• pp.149-163
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• 2008

The purpose of this study was to investigate research trends of the articles in Math-Educational journals between 1998 and 2006 in a bid to discuss whether the articles evenly dealt with different fields and whether studies on elementary mathematics education were in line with the 7th national curricula. It's basically meant to determine some of the right directions for future research on elementary mathematics education. The articles included in Math-Educational journals during the selected period were analyzed to find out the theme, area, method and subjects of the studies and when the studies were conducted. After checking National Assembly Digital Library by inputting a keyword 'elementary mathematics', 235 articles were found, and a content analysis was carried out, and statistical data on percentage were obtained. The results of this study were as follows: First, there had been steady research efforts about elementary mathematics education, as 20 or 30 studies had been conducted on a yearly basis. Second, as for theme of research, the most common themes were instructional design and method(25.5%), and an analysis of curricula and textbook(15.3%) was the second most dominant theme. Third, regarding the area of study, the most widely investigated area was number and operation (30.0%), followed by character/expression(27.8%), figure (23.9%), regularity/function (8.9%), probability/statistics(5.6%), and measurement (3.9%). Fourth, concerning the method of research, didactical analysis(43.8%) was most prevalent, followed by quantitative research(29.8%), qualitative research(16.6%) and a combination of qualitative and quantitative approaches(9.8%). Fifth, as to subjects, many of the studies(21.7%) investigated upper graders. In conclusion, it has to be accomplished the impartial researches for the whole area in order to develop elementary mathematics education and attain the objects of the 7th national curricula.

• 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.

• School Mathematics
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• v.10 no.2
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• pp.199-222
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• 2008

The present study was conducted to review the definitions and methods of teaching reflection and then suggest the criteria for analyzing mathematics teaching reflection. The reason for addressing the teaching reflection, which recently attracts considerable attention, was that it would enhance the professional growth of mathematics teachers. The review of the prior studies shows that the hitherto proposed criteria which could be used for analyzing mathematics teaching reflection are inadequate and unsystematic. Further, it was revealed that the self-assessment checklists put forward by previous studies were overly ramified, and thus it seems that an integrative approach should be taken in order to establish the relevant criteria for analyzing mathematics teaching reflection. Considering these findings, the present study suggests the pre-lesson, in-lesson, and post-lesson criteria for analyzing leaching reflection for the subject of mathematics and the attendant questions posed to teachers.

• Journal of the Korea Convergence Society
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• v.8 no.7
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• pp.331-339
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• 2017

Mathematics has kept the relationships with other studies constantly. However, there is not many researches about the integrated teaching-learning materials for mathematics. In this paper, we review the integrated learning theories and domestic research trends of the integrated learning for the mathematics. Through the literature review, we survey the integrated teaching-learning materials, which integrate the mathematics and other subjects for the secondary school. As a result, it can be seen that integrated teaching-learning materials of mathematics and science, social studies, arts, physical education, and korean literature have recently been developed to help raise awareness of the usefulness of mathematics. Further study on the revision and supplementation of these materials should be carried out based on this paper.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.599-615
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• 2015

Teachers' philosophies have not been emphasized enough in the current teacher education curriculum even though teacher's philosophy palys a critical role in schools and classrooms. The examination on pre-service teachers' teaching philosophies is necessary to improve teacher education curriculum so that teaching philosophies are often discussed in the courses of 'pedagogical content knowledge' as well as 'general education.' Therefore, the current study investigated 44 pre-service teachers' teaching philosophies, their sub domains, and relationships among the sub domains. The previous studies regarding mathematics teacher's teaching philosophy were more about 'teacher's belief' and employed deductive inference approach using surveys or questionnaires. These studies commonly pointed out that there were three major domains of 'belief on mathematics itself,' 'belief on teaching mathematics,' and 'belief on learning mathematics.' As these three domains of teacher's philosophy has been strengthened, there were very few studies examining the other potential domains of teacher's teaching philosophy. According to the findings of the present study, which employed inductive inference approach and pre-service teachers' free essay writing assignment, 'belief on teacher's role in mathematics classroom,' 'belief on the purpose of mathematics education,' and 'motivation to be a mathematics teacher' were additionally illuminated as sub domains of teacher's teaching philosophy. Moreover, the interrelationship among the sub-areas of teacher's teaching philosophy was disclosed. Specifically, 'belief on the purpose of mathematics education' and 'motivation to be a mathematics teacher' influenced the other sub domains. This implies that the relationships among the sub domains of teacher's teaching philosophy were more likely to be causal and vertical relationships rather than independent and parallel relationships. Finally, the findings from the current study provide implications indicating how pre-service teachers' teaching philosophies might be established in mathematics education courses for future research and education.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.89-100
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• 1998

In this paper, it is insisted that elementary school mathematics has its own identity, Since it can be found out that is not precisely, rigidly, or deductively developed in elementary school mathematics, it must be regarded as a property of elementary school mathematics. But elementary school mathematics and mathematics as a discipline are not different totally. In this paper, it is stressed that they do not share some attributes of each other.