• Journal of Educational Research in Mathematics
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• v.9 no.2
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• pp.459-471
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• 1999

This study is to develop a mathematics assessment framework based on the mathematics assessment framework and content strands suggested by KEDI, NCTM, NAEP, TIMSS, Oregon State, New Zealand. According to the literature review, there has been more emphasis that students themselves 'communicate' what they 'understood' and how they 'thought' during the situation of 'solving problems'. As a result, communication ability is considered one of the most important factors in assessment situation, which always accompany the abilities of understanding, thinking, problem-solving, etc. In conclusion, the framework related to mathematical knowledge consists of content and behavior domains. The content domain is categorized into 6 content areas of the 7th mathematics curriculum, and the behavior domain is divided into computation, understanding, inference, problem-solving, and communication.

• Research in Mathematical Education
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• v.20 no.1
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• pp.31-38
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• 2016

WHAT we teach, and HOW students experience it, are the primary factors that shape students' understanding and beliefs of what mathematics is all about. Further, students pick up their sense of mathematics from their experience with it. We have seen the results of the approach to "break the subject into pieces and make students master it bit by bit. As an alternative, we strive to create a teaching environment in which students are DOING mathematics and thereby engender selected aspects of "mathematical culture" in the classroom. The vehicle for doing this is the so-called Japanese Open-ended approach to teaching mathematics. We will discuss three aspects of the open-ended approach - process open, end product open, formulating problems open - and the associated approach to assessing learning.

• Journal of Educational Research in Mathematics
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• v.13 no.1
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• pp.13-28
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• 2003

Practice of proof is considered in, the view of language and meta-mathematics, recognizing the role of proof that is the means of communication and development of mathematical understanding. Linguistic components in proof texts are symbol, verbal language and visual text, and contain the implicit knowledge in the meta-mathematics view. This study investigates the functions of linguistic elements according to Halliday's functional grammar and the rhetoric skills in proof texts in math textbook, teacher's note, and student's written text. We need to inquire into the aspects of language for mathematics learning process and the understanding and use of students' language.

• Communications of Mathematical Education
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• v.33 no.4
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• pp.445-453
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• 2019

Gender might be interpreted in different roles and meanings depending on social and cultural backgrounds. Based on the premise that understanding of gender may change the direction of mathematics education, this paper confirmed how gender is interpreted in the preceding study of mathematics education in Korea by applying the literature research method. In particular, predictive model based on empirical perspective and gender schema model based on constructivist perspective. Based on the analysis of gender and research methods in cultural and historical composition models based on historical perspectives and postmodernism models based on postmodernism perspectives, this study analyzed trends in domestic mathematics education. As a result of the analysis, it is confirmed that gender is recognized as a biological difference in domestic mathematics education, and that analysis of gender and related elements of mathematics education is mainly used using statistical analysis techniques. This suggests that various approaches to interpreting gender's role in future mathematics education are needed. The existing mathematics education research on gender is composed in terms of gender differences. Since biology at the time did not explain this difference, however, it should now be based on the concept of gender, which is socially defined gender. Accurate understanding of gender and gender can be the basis for clearer understanding and interpretation of gender-related mathematics research.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.639-661
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• 2017

This article reviews several classroom observational frameworks and introduces one of them, Teaching for Robust Understanding of Mathematics (TRU Math) framework, in more detail. The TRU Math framework has unique features, especially of which it helps researchers and practitioners analyze lessons with a focus on opportunities to learn and on how students access to the learning opportunities in mathematics classrooms rather than focusing on teacher behaviors. In this article, using this TRU Math framework, a Korean high school mathematics lesson was analyzed. The analysis illustrates the aspects of good mathematics teaching according to the five dimensions that we theorized. It provides implications on how to better use the tool for both research and practice in Korean school culture and teacher professional development contexts.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.37-62
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• 2014

In this thesis, we inquire into teaching method of decimal fraction concept in elementary mathematics education based on measurement activity. For this purpose, our research tasks are as follows: First, we design a experimental learning-teaching plan of 'decimal fraction' unit in 4th grade textbook and verify its effect. Second, after teaching experiment using experimental learning-teaching plan, we analyze the student's status of understanding about decimal fraction concept. As stated above, we have performed teaching experiment which is ruled by new lesson design and analysed the effects of teaching experiment. Through this study, we obtained the following results. First, introduction of decimal fraction based on measurement activity promotes student's understanding of measuring number and decimal notation. Second, operator concept of decimal fraction is widely used in daily life. Its usage is suitable for elementary mathematics education within the decimal notation system. Third, a teaching method of times concepts using place value expansion of decimal fraction is more meaningful and has less possibility of misunderstanding than mechanical shift of decimal point. Fourth, teaching decimal fraction through the decimal expansion helps students with understanding of digit 0 contained in decimal fraction, comparing of size and place value. Fifth, students have difficulties in understanding conversion process of decimal fraction into decimal notation system using measurement activity. It can be done easily when fraction is used. However, that is breach to curriculum. It is necessary to succeed research for this.

• Educational Technology International
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• v.9 no.2
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• pp.17-37
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• 2008

This study is to examine different views of teachers, students, parents and experts on existing mathematics textbook and ideas and alternatives for developing new textbooks. We interviewed deeply with 18 teachers, 18 students, 9 parents, and 4 experts and analyzed two analysis frame categories; Strengths and weaknesses of current textbooks and directions of mathematics textbooks that will be revised. We found that among teacher, student, parent and expert, there are some differences of meaning about mathematics textbooks, based on interview questions. The directions of new textbooks are as follows. First, 'the definitions of mathematics textbook concepts' shared and sympathized by teachers, students, parents, and experts should be considered in developing the textbooks. Second, the textbooks should be much usable in classrooms and be matched to the goals of mathematics subjects. Third, the contents and levels of difficulty of the textbooks should be based on the specific objectives and the analysis of curriculum and its contents. Fourth, understanding students should be presupposed as the external side of contents and the textbooks themselves should be associated with the image of joyful and fun mathematics. Fifth, the mathematics textbooks should reflect real daily life to their contents and be linked to other subjects.

• Journal of Educational Research in Mathematics
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• v.18 no.4
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• pp.469-482
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• 2008

This study analysed difficult points on the understanding of infinity when the concept is considered as actual infinity or as potential infinity. And I consider examples that the concept of actual infinity is used in texts of elementary and middle school mathematics. For understanding of modem mathematics, the concept of actual infinity is required necessarily, and the intuition of potential infinity is an epistemological obstacle to get over. Even so, it might be an excessive requirement to make such epistemological rupture from the early school mathematics, since the concept of actual infinity is not intuitive, derives many paradoxes, and cannot offer any proper metaphor.

• The Mathematical Education
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• v.52 no.3
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• pp.379-398
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• 2013

The purpose of this research is to study a perception of multicultural education for preservice teachers who major in mathematics. The research has been done on the data collected from 126 preservice teachers in Gangwon-do who major in mathematics. The data collected include experience of multiculturalism, multicultural efficacy, multicultural understanding and multicultural sensitivity. The data have been analyzed by reliability test, t-test, one-way anova and pearson correlation. Most of preservice teachers who major in mathematics have had no experience of multiple cultures. But they have shown a high perception on multicultural education and a significant positive correlation on their experience of multiculturalism, multicultural efficacy and multicultural sensitivity. Furthermore, the female preservice teachers' multicultural efficacy, multicultural understanding and multicultural sensitivity are much more high than the male preservice teachers'. The difference between different sex has been statistically significant.

• Education of Primary School Mathematics
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• v.20 no.1
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• pp.117-130
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• 2017

Euclid's elements have been recognized as a significant textbook in mathematics and mathematics education because of importance of its contents and methodology. This study discussed how the elements is connected with understanding of math textbooks in elementary school, trying to reveal the value for teacher training. First, when details in elementary textbooks were considered in aspect of elements, the importance of elements was illustrated with the purpose of understanding contents of elementary school by examining educational implications. In addition, the study discussed the value of the elements as the place for teachers and would-be teachers to experience math system.