• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.241-254
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• 2010

Under the consideration of Chinese math education tradition and new educational orientation, we compared and analyzed Korea and China's lower-grade elementary school textbooks. The result was that Chinese textbook puts much emphases on practice, skill and repetition, presents condensed contents, provides various learning contents simultaneously, rich humorous expressions, and a lot of implicit representations. From these results, we presented some implications for our mathematics education, future textbook writing, and the follow-up studies.

• Journal of Applied and Pure Mathematics
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• v.6 no.1_2
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• pp.97-103
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• 2024

This study is about digits of numbers in system logic B₃. Any real number is written as digits in the binary system, in the ternary system. The numbers in base two and base three are also written in the B₃ system ternary logic. These two writing methods are transferred into the third method. The real numbers 0,1 and 0, 1, 2 are written as digits. The same real numbers are written as digits of elements of the set -1, 0, 1 in base B₃. The periods here are investigated. The relationship between these digits is analysed.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.469-489
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• 2017

Teachers are the primary agent of didactic transposition. In the process of transposing mathematical knowledge presented in mathematics curriculum and textbooks to mathematical knowledge for teaching in a classroom, teachers are significantly influenced by not only teachers' personal factors but also circumstances and constraints existing inside and outside of classrooms. Therefore, to understand teachers' didactic transposition, we need to analyze influence of institutional and socio-cultural factors on teachers' didactic transposition process. Identifying factors and constraints influencing teachers' didactic transposition provides important opportunities to have a deeper understanding of teachers' didactic transposition and develop their classroom practices. This study analyzed secondary mathematics teachers' perspectives on didactic transposition by exploring factors influencing their didactic transposition process using their reflective journal about their classroom practices. As a result, we identified the five factors influencing participating teachers' didactic transposition. We also found that different teachers had different extent of influence of five factors on their didactic transposition. Based on the results, we discussed ways to help mathematics teachers' didactic transposition.

• Research in Mathematical Education
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• v.27 no.2
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• pp.157-173
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• 2024

Researchers continue to emphasize the centrality of proof in the context of school mathematics and the importance of proof to student learning of mathematics is well articulated in nationwide curricula. However, researchers reported that students' performance in proving tasks is not promising and students are not likely to see the need to prove a proposition even if they learned mathematical proof previously. Research attributes this issue to students' tendencies to accept an empirical argument as proof for a mathematical proposition, thus not being able to recognize the limitation of an empirical argument as proof for a mathematical proposition. In Korea, there is little research that investigated high school students' views about the need for proof in mathematics and their understanding of the limitation of an empirical argument as proof for a mathematical generalization. Sixty-two 11^th graders were invited to participate in an online survey and the responses were recorded in writing and on either a four- or five-point Likert scale. The students were asked to express their agreement with the need of proof in school mathematics and to evaluate a set of mathematical arguments as to whether the given arguments were proofs. Results indicate that a slight majority of students were able to identify a proof amongst the given arguments with the vast majority of students acknowledging the need for proof in mathematics.

• Journal for History of Mathematics
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• v.26 no.1
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• pp.57-83
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• 2013

This study focuses on the use of mathematics notes in elementary school mathematics classes as a way of practicing mathematical communication, which was introduced as one of the main themes in the 2007 Mathematical Curriculum Revision. We investigate, through interviews with teachers and questionnaires, why and how mathematics notes are used and what are included in them, finding out various aspects of the use of mathematics notes such as the purposes, the necessities and the types. We draw some helpful suggestions for using mathematics notes in classes which has positive effects such as enhancing students' mathematical thinking and calculation ability. This study is to provide teachers with an appropriate information and basic materials on the use of mathematics notes.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.135-160
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• 2017

Since mathematics textbooks for 6th graders based on the 2009 revised national curriculum were applied to the site, there has been a note pointing out that the unit of 'ratio and rate' causes some learning difficulties. This implies the necessity of search for desirable methods of organizing the unit of ratio and rate in mathematics textbooks. This study analyzed and compared Korean and foreign mathematics textbooks on ratio and rate longitudinally and horizontally, respectively. For longitudinal analysis, we selected the mathematics textbooks according to the national curriculum since the 5th one. For horizontal analysis, we took the mathematics textbooks of Japan, Singapore, Hong Kong, and Finland. In each textbook, the contents and the order in relation to ratio and rate, the definitions of terminology, and the methods for introducing related concepts are set as the analysis framework. The results of analysis revealed many characteristics and the differences in ways of dealing contents about ratio and rate. Based on these results, we suggested some implications for writing the unit of ratio and rate in elementary mathematics textbooks.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.1
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• pp.25-46
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• 2018

The purpose of this study is to investigate the effects of mathematics instruction for the formation of mathematics classroom culture on cognitive and affective domains of elementary school students. Two classes of 3rd grade elementary school in Seoul were chosen for the study. Twenty math classes were conducted, discussing the norms and using mathematical communication and journal writing activity was carried out. A mathematical achievement evaluation was performed for the inspection of the cognitive domains and a mathematical aptitude test was performed for the inspection of the affective domains. Research has shown that the mathematics classroom culture have a positive effect on the development of students' cognitive and affective domains. In particular, in the course of forming a mathematical classroom culture, students showed a change in the affective domain of a mathematics. Based on these findings, a change in teacher's perception of the importance of mathematics is needed and a variety of circumstances surrounding the students suggested the formation of a mathematical classroom culture.

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.589-611
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• 2014

Since most people experience mathematics anxiety(MA), the research on mathematics anxiety has been the main theme in the research of mathematics education. The study of brain science related to MA has recently been begun due to the advent of apparatuses so this study might have revisited MA as time passed and aimed to obtain realistic implications for the future study. For this purpose, we analyzed previous studies how to measure MA and how to develop the intervention to reduce MA. As the result, the researchers based on brain science studied the relevance of specific parts of the brain according to the degree of MA using only simple computational tasks. The research for developing the MA scale has upgraded how to measure both the cognitive and affective domains with more efficient ways. The research on intervention for MA has developed the programs using systematic desensitization, clinical counseling, STAD teaching method, writing methods, etc. However, we realized that more specified and reliable studies to solve the MA must be done in the future.

• The Korean Journal of Community Living Science
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• v.22 no.4
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• pp.519-533
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• 2011

The objective of this study was to follow up changes in knowledge related to the mathematics education field work of preliminary early childhood teachers. The subjects of this research were 28 students who were taking mathematics education courses in early childhood education departments at various universities. This research ran for 15 weeks and was conducted through field work relating to mathematics education. The study collected data from pre-service teachers' knowledge, the diagram of concept, writing journals, interviews, and materials from the internet. Through this procedure, pre-service teachers' knowledge for mathematics education could later be expanded, ordered, and integrated. In addition, pre-service teachers not only understood the importance of contents and levels of lesson plans, but also learned how to utilize educational media to make effective lessons. Furthermore, pre-service teachers realized that the mathematical concepts of students could be expanded depending on the contents and methods of pre-service teachers' lesson plans and students could then apply these concepts into daily situations.

• Bulletin of the Korean Mathematical Society
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• v.38 no.3
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• pp.551-564
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• 2001

We view Weyl structures as generalizations of Riemannian metrics and study the critical points of geometric functional which involve scalar curvature, defined on the space of Weyl structures on a closed 4-manifold. The main goal here is to provide a framework to analyze critical Weyl structures by defining functionals, discussing function spaces and writing down basic formulas for the equations of critical points.