• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.347-363
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• 2019

The purpose of this study was to investigate the effects of communication - oriented mathematical writing strategies on students' mathematics achievement and mathematical propensity. In order to achieve the purpose, three types of communicative math writing learning strategies such as writing their own thoughts and feelings, writing problem solving process, and explaining the mathematical concepts. In the comparative group, general lessons based on textbooks and tutorials were conducted. As the results, the students in the experimental group showed a significant improvement in mathematics achievement and a positive effect on the mathematical propensity as compared with the comparison group.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.449-466
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• 2013

Mathematical discussion has been highlighted so that what students do actually guides their learning of mathematics and mathematical practice. However, the work of leading mathematical discussions has not yet been specified in such a way that it can be adequately studied and taught to teachers. This study analyzes a teacher's lessons that show full engagement in leading discussions, and examines the work of leading mathematical discussions in elementary classrooms. It identifies and illustrates the central tasks of leading mathematical discussions with single case questions with five steps. This article argues several key issues in leading mathematical discussions: helping students engage in struggling with important mathematical ideas, treating mathematical connections in an explicit and public way to have coherent and structured discussions, and parsing the work of teaching at a grain size that is usable in educating teachers.

• The Mathematical Education
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• v.54 no.3
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• pp.207-222
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• 2015

Mathematics preservice teachers' Mathematical Content Knowledge ("MCK") includes not only knowledge for mathematics, but also academic knowledge for school mathematics and mathematical process knowledge. We can consider the items in PISA 2012 as suitable tools to assess process knowledge as well as mathematical content knowledge because these items are developed by competent international educational experts. Therefore, the responses to items with the low percentage of correct answers in conjunction with the mathematical contents were analyzed with focus on FMC. The results showed the reasoning competency in responses using the conditions of the problem and of understanding the conditions after reading the complex problems within the context (i.e. the reasoning and argumentation competency, and communication competency) requires improvements. Furthermore the results indicated the errors due to a lack of ability of devising strategies for problem solving. Based on the foregoing results, the implications towards the directions of the education for the preservice mathematics teachers have been derived.

• Korean Journal of Child Studies
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• v.35 no.2
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• pp.137-156
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• 2014

The purpose of this study was to better understand the tendencies and general distributive features of mathematical educational activities which are presented in the Nuri Curriculum Teaching Guidebooks. This was done by analysis of 628 mathematical activities suggested in those guidebooks, the total number of which was thirty-two. The results of this study can be summarized as follows: First, the number of activities for mathematical education was 204 for the age of three, 223 for the age of four, and 201 for the age of five. Second, these mathematical educational activities are aimed mainly for developing positive attitudes toward mathematics rather than the delivery of mathematical knowledge and skills. Third, the number of activities for developing mathematical inquiry skills was greater than that of activities for developing of inquiry attitudes. Furthermore, the characteristic of understanding the basic concepts of space and figures can be found most frequently in five kinds of activities for mathematical inquiry. Last, the activities for mathematical education are more frequently found in free choice activities rather than group activities. The results of this study also suggest that checking the current status of mathematical education for young children and the Nuri Curriculum Teaching Guidebooks can be utilized for creating teachers' manuals.

• Journal of Educational Research in Mathematics
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• v.12 no.4
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• pp.493-508
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• 2002

The purpose of this study is to compare the preferences of the school mathematical terms of South Korea and those of North Korea by administering a survey for learners, inservice teachers, and pre-service teachers, to establish the criteria of desirable school mathematical terms, and to evaluate the school mathematical terms of South Korea and those of North Korea based on the criteria. According to the result of the survey, the preferred mathematical terms are different from one group to the other, yet the mathematical terms of South Korea are more preferred. In general, terms written in pure Korean and concise terms which are easily understandable are favored. To discuss about the criteria of desirable school mathematical terms, four perspectives were set up, 1) the semantic perspective and the regulatory perspective, 2) terms written in pure Korean and Chinese letters, 3) terms from everyday language and technical terms, and 4) the consistency. Six criteria were followed from the aforementioned four perspectives. Finally, various school mathematical terms of South and North Korea were reviewed in the angles of the four perspectives and the six criteria.

• The Mathematical Education
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• v.51 no.4
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• pp.455-469
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• 2012

Given the importance of mathematical connections in instruction, this paper analyzed the objects and the methods of mathematical connections according to the lesson flow featured in 20 elementary lessons selected as effective instructional methods by local educational offices in Korea. Mathematical connections tended to occur mainly in the introduction, the first activity, and the sum-up period of each lesson. The connection between mathematical concept and procedure was the most popular followed by the connection between concept and real-life context. The most prevalent method of mathematical connections was through communication, specifically the communication between the teacher and students, followed by representation. Overall it seems that the objects and the methods of mathematical connections were diverse and prevalent, but the detailed analysis of such cases showed the lack of meaningful connection. These results urge us to investigate reasons behind these seemingly good features but not-enough connections, and to suggest implications for well-connected mathematics teaching.

• The Mathematical Education
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• v.49 no.4
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• pp.523-540
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• 2010

The purpose of the study were to analyze MathThematics textbooks and Korean middle school mathematics and to investigate the difference among the textbooks in the view of mathematical communication. According to the results, the textbook developers made a variety of efforts to develope students' mathematical communication ability. Students were encouraged to communicate with others about their mathematical ideas or problem solving processes in words or writing by means of discussion, oral report, presentation, journal, etc. MathThematics textbooks provided student self-assessment opportunity to improve student performance in problem solving, reasoning, and communication. In communication assessment, students can assess their use of mathematical vocabulary, notation, and symbols, the use of graphs, tables, models, diagrams and equation to solve problem and their presentation skills. The assessment activities would make a positive impact on the development of students' mathematical communication ability. MathThematics textbooks provided a variety of problem situation including history, science, sports, culture, art, and real world as a topic for communication, however, the researcher found that some of Korean textbooks depends heavily on mathematical problem situations.

• The Mathematical Education
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• v.57 no.4
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• pp.371-391
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• 2018

The purpose of this study is to analyze manifestation examples and effects of group creativity in mathematical modeling and to discuss teaching and learning methods for group creativity. The following two points were examined from the theoretical background. First, we examined the possibility of group activity in mathematical modeling. Second, we examined the meaning and characteristics of group creativity. Six students in the second grade of high school participated in this study in two groups of three each. Mathematical modeling task was "What are your own strategies to prevent or cope with blackouts?". Unit of analysis was the observed types of interaction at each stage of mathematical modeling. Especially, it was confirmed that group creativity can be developed through repetitive occurrences of mutually complementary, conflict-based, metacognitive interactions. The conclusion is as follows. First, examples of mutually complementary interaction, conflict-based interaction, and metacognitive interaction were observed in the real-world inquiry and the factor-finding stage, the simplification stage, and the mathematical model derivation stage, respectively. And the positive effect of group creativity on mathematical modeling were confirmed. Second, example of non interaction was observed, and it was confirmed that there were limitations on students' interaction object and interaction participation, and teacher's failure on appropriate intervention. Third, as teaching learning methods for group creativity, we proposed students' role play and teachers' questioning in the direction of promoting interaction.

• Research in Mathematical Education
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• v.27 no.1
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• pp.25-47
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• 2024

Mathematical modeling activities are gaining popularity in K-12 mathematics education curricula worldwide. These activities serve dual purposes by aiding students in making sense of real-world situations intertwined with social justice while acquiring mathematical knowledge. Despite efforts to prepare teacher candidates for instructing in mathematical modeling within a single country, little attention has been given to teacher candidates' approaches to mathematical modeling on a social justice issue from different countries. This article employs an in-depth, small-scale comparative study to examine the approaches of U.S. and Korean teacher candidates in solving a justice-oriented mathematics task. Our findings reveal that, although both U.S. and Korean teacher candidates identified certain variables as key when constructing a mathematical model, Korean teacher candidates formulated a more nuanced model than U.S. candidates by considering diverse variables. However, U.S. teacher candidates exhibited a heightened engagement in linking the task to social justice issues, whereas Korean teacher candidates barely perceived real-world problems in relation to social justice concerns. This study serves as a valuable tool to inform the roles and limitations of teacher education programs, shaped within specific educational contexts.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.2
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• pp.315-321
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• 2013

Let $D_0$, $D_1{\subset}\bar{R}^n$ be non-empty sets and let ${\Gamma}$ be the family of all closed curves which join $D_0$ to $D_1$. In this note, we introduce the concept of the mathematical conductance $C({\Gamma})$ of a curve family ${\Gamma}$ and examine some basic properties of mathematical conductance. And we obtain the inequalities in connection with capacity of condensers.