• School Mathematics
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• v.10 no.2
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• pp.279-296
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• 2008

This research aims to compare and identify the prospective elementary teachers' perspectives on mathematics class. In this aim, we analyzed the comments on the mathematics class by the prospective elementary teachers (senior students and junior students) who are differ in the time of study in the University of Education. As the results of this research, the senior students commented the mathematics class by applying the theories in mathematics education, but the junior students did not. Furthermore, the senior students had the more rigid perspectives on mathematics class and commented in more depth on mathematics class in comparison with the junior students. While, the senior students showed a weak point that they overextended and over-applied the some mathematics education theories in the comments on mathematics class.

• Communications of Mathematical Education
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• v.29 no.4
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• pp.723-743
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• 2015

In this research, The objective of the present study was to develop a preliminary diagnostic worksheet for use in consultations for learning mathematics. In order to achieve this, the worksheet was constructed with questions designed to assess the students. Through standardization, diagnostic worksheets for primary school students in grades 5 and 6 and secondary school students in grades 7 and 8 were produced. The diagnostic worksheet was divided into three sections, consisting of the psychology of learning mathematics in section 1, the methodology in learning mathematics in section 2, and personal preferences in learning mathematics in section 3. The psychology of learning mathematics was composed of questions on factors such as, "confidence in math learning ability," "math anxiety," and "attitude in learning mathematics." Moreover, factors in methodology in learning mathematics were "self-management in learning mathematics" and "math learning strategies." Those for personal preferences in learning mathematics asked about "motivation" and "preferences" with questions about "math learning habits" and "management methods for learning math." This diagnostic worksheet can be used as basic material in consulting students on learning mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.2
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• pp.111-135
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• 2005

In this study I compared Korea's elementary school mathematics curriculum and its handbook with Japan's curriculum and its handbook. Based on that work, I induced some suggestions which is useful to develop mathematics curriculum in the future. First, the purposes of Korea's elementary school mathematics curriculum focused on the system of mathematics, scholastic ability and learning volition. On the other hand, Japan's curriculum concentrated on the utility of mathematics in daily life and the motive of learning mathematics. Secondly, purposes of mathematics education written in Japan's curriculum handbook, differing from Korea's, are closely divided into concrete items. Finally, purposes of mathematics education in each grade, written in Japan's curriculum handbook, are presented in outlined form according to general purpose of mathematics curriculum. The merit of this way is that the researcher could display flexibilities and creativities in making mathematics textbook.

• School Mathematics
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• v.5 no.2
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• pp.151-165
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• 2003

So far there have been intermittently quantitative and syntactic analyses of the past elementary mathematics curriculums to comprehend elementary mathematics education in Korea. However, we think we also need qualitative and semantic analyses to comprehend and examine the past elementary mathematics curriculums exactly and so to look out on our future elementary mathematics education. Generally, school mathematics curriculum reflects both the philosophical aspects of mathematics itself that form the background of the philosophy of mathematics education and the sociological aspects in real mathematics class that could be the output of the curriculum. With this view, the logic of the social constructivism can be an appropriate way that leads mathematical philosophical analysis and sociological analysis in mathematics education. With this kind of method of analysis we got the results that: the past Korean elementary mathematics curriculums mainly have the tendency from the ideology of the progressive educator(the 1st) to of the technological pragmatist(the 2nd), from that of the old humanist(the 3rd and 4th) to the progressive educator(the 5th and 6th) again, and lastly that of social constructivism(the 7th).

• School Mathematics
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• v.11 no.4
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• pp.625-642
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• 2009

This paper presents an overview of theories about ethnomathematics to seek for implications for multicultural mathematics education. Initiated by anthropological inquiries into mathematics outside of Europe, research of ethnomathematics has revealed the facets of mathematics as a historicocultural construct of a community. Specifically, it has been shown that mathematics is culturally relative knowledge system situated within a certain communal epistemological norms. This implies that indigenous mathematics, which had traditionally been regarded as primitive and marginal knowledge, is a historicocultural construct whose legitimacy is conferred by the system of the communal epistemological norms. The recognition of the cultural facets in mathematics has faciliated the reconsideration of what is legitimate mathematics. what is mathematical competence, and what teaching and learning mathematics is an about. This paper inquires multicultral discourses of mathematics education that research of ethnomathematics provides and identifies its implications concerning multicultural mathematics education.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.101-122
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• 2004

It has been always the issue to discuss 'how we teach mathematics' for the mathematical learning. As for an answer to this, it was suggested to use the history of mathematics. The reason is simple that is, the education of mathematics requires to understand mathematics and to know the history of mathematics is effective for mathematical understanding. In particular, the history of algebra was discussed to some extent as an illustration. This study focuses on the history of geometry from this point of view. We review the history of geometry by comparison in terms of three criteria from the origin of geometry to modem differential geometry in the middle of the 20th century, which are backgrounds (inner or outer ones), characterizations (approach, method, object), influences to modem mathematics. As an application of such historical data to the education of mathematics, we pose the problem to determine the order of instruction in mathematics.

• Hwankyungkyoyuk
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• v.12 no.1
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• pp.172-188
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• 1999

Mathematics has been usually recognized as value-neutral and anti-ideological subject, and as a result, it has not dealt with environmental problems clearly. Also, it is not easy to find any environment-related contents in the 7th mathematics curriculum. However, because mathematics is also precious human products and essence, in any ways there is a need to reflect the social issues in the mathematics subject which speak for human mental activities. If this need is admitted to change the mathematics contents to the direction of social issues, environmental problems can stand out and be dealt in the mathematics education. Among the 6 domains in the 7th mathematics curriculum, the environmental problems can be dealt with in the domains of ‘numbers and operation’, ‘letters and formulas’, ‘regularity and function’, ‘chances and statistics’, ‘measurement’ except in the domain of ‘diagrams’. Also, the '문장제들' which takes up a considerable part of mathematics textbooks needs the authentic situation, and thus it will be possible to take environmental situations as mathematical materials. Furthermore, one of the 7th mathematics curriculum is that it suggested further study in each level of each domain, the representative pattern of which is the application of the mathemantics contents to the daily life. With this kind of mathematics further study contents, environmental problems can provide a variety of contents for the further study. From this viewpoint, it can be expected that the contents of environmental education will be increased in the mathematics subject. Under the recognition that the mathematics subject cannot be an exception in considering environmental problems, this study has studied some concrete plans and examples for how the mathematics textbooks based on the 7th educational curriculum can deal with environmental Problems.

• Communications of Mathematical Education
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• v.31 no.1
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• pp.149-177
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• 2017

Since modern mathematics textbooks were introduced in the late 19th century Korea, arithmetic experts started to teach modern mathematics using Arabic numerals at village schools and churches. After the Gabo Education Reform of 1894, western mathematics education was included in public education and the mathematics textbooks began to be officially published. We explored most of Korean mathematics textbooks from 1895 to 2016 including the changes of mathematics curriculum through 1885-1905, 1905-1910, 1911-1945, 1945-1948, 1948-1953, 1954-1999, and 2000-2016. This study presents the characters of modern mathematics textbooks of Korea since 1885.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.3
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• pp.389-401
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• 2012

The focus of the present study is on examining a research trend of teachers' professional development in mathematics. In do this, this study investigated the meaning and standards of professional development about mathematics, examining the characteristics of successful mathematics education professional programs, and looking for the processes of teachers' professionalization about mathematics. The findings of this study point out as follows: Teachers' professional development about mathematics implies the improvement of the quality of mathematics instruction following improving the quality of mathematics learning through well-structured mathematics teacher education programs. To do this, teachers need to have shared vision about how to teach mathematics, to have profound knowledge related to the mathematics subject, and to actively participate in teachers' professional development programs in mathematics. The results suggest the common characteristics of successful programs of mathematics teachers' professional development. The results of this study suggest that teachers need to have passion and efforts to improve teachers' professionalization about mathematics, and research on teacher professional development should be based on understanding about teachers. Also, more teacher-researchers to connect educational theories with educational practices are recommended, and a model for teachers' professional development program of mathematics appropriate to the context of Korea needs to be developed.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.271-293
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• 2007

Mathematics workbook is developed according to the amendment of the 7th national curriculum of mathematics. This study polled 300 national mathematics teachers in the elementary school, middle school, and high school to find out what they think in conjunction with the introduction of mathematics workbook such as needs for mathematics workbook, teachers' recognition about the system of mathematics textbook and workbook which are proper for lesson of achievement level and organization of mathematics workbook before using the mathematics workbook in school. As a results, mathematics teachers want the introduction of workbook because it helps students' self-regulated learning of mathematics and it is material very valuable for teachers to give lessons of achievement level. Also, we suggest the organization and contents of mathematics workbook on the base of our survey. Mathematics workbook has a lot of exercises assessing into the upper, intermediate, lower level in the contents, concepts of mathematics learning. It has the items developed with various problem solving methods and emphasis on performance tests, an essay-type examination and a periodical assessment. It has the problem posing items and the corner that helps students revise their mathematical errors and proposes useful, interesting mathematical activities and the commentary of a correct answer to questions at the tail of the book.