• Education of Primary School Mathematics
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• v.22 no.1
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• pp.49-64
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• 2019

The purpose of the study was to examine the current status of prospective elementary school teachers' mathematical beliefs. 339 future elementary school teachers majoring in mathematics education from 4 universities participated in the study. The questionnaire used in the TEDS-M(Tatto et al., 2008) was translated into Korean for the purpose of the study. The researchers analyzed the pre-service elementary teachers' beliefs about the nature of mathematics and about mathematics learning. Also, the results of the survey was analyzed by various aspects. To determine differences between the groups, one-way analysis of variance was used. To check the relationship between beliefs about the nature of mathematics and about the mathematics learning, correlation analysis was used. The results of the study revealed that the pre-service elementary teachers tends to believe that the nature of mathematics as 'process of inquiry' rather than 'rules and procedures' which is a view that mathematics as ready-made knowledge. In addition, the pre-service elementary teachers tend to consider 'active learning' as desirable aspects in mathematics teaching-learning practice, while 'teacher's direction' was not. We found that there were statistically significant correlation between 'process of inquiry' and 'active learning' and between 'rules and procedures' and 'teacher direction'. On the basis of these results, more extensive and multifaced research on mathematical beliefs should be needed to design curriculum and plan lessons for future teachers.

• Journal of Elementary Mathematics Education in Korea
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• v.11 no.1
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• pp.1-21
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• 2007

The purpose of this study was to propose instructional methods using base-ten blocks in teaching the multiplication of decimal for 5th grade students by analyzing the process of their conceptual comprehension of multiplication of decimal. The students in this study were found to understand various meanings of operations (e.g., repeated addition, bundling, and area) by modeling them with base-ten blocks. They were able to identify the algorithm through the use of base-ten blocks and to understand the principle of calculations by connecting the manipulative activities to each stage of algorithm. The students were also able to determine whether the results of multiplication of decimal might be reasonable using base-ten blocks. This study suggests that appropriate use of base-ten blocks promotes the conceptual understanding of the multiplication of decimal.

• Education of Primary School Mathematics
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• v.15 no.1
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• pp.41-52
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• 2012

The korean mathematics textbooks according to the 2007 revised mathematics curriculum and the MiC textbooks are similar in that they introduce mathematical materials in real life situations and are composed in such a way that require students to form their own mathematical concepts. However the MiC textbooks are focus more on situation-centered problems and context-centered problems where a set of procedures need to be followed in order to arrive at an answer. So, this paper is aim at comparing the units of statistics in the korean mathematics textbooks and the MiC textbooks in order to find the implications for writing textbook. By comparing the specific content and the used methods, I found Korean textbooks focused on understanding concepts and spending less time surveying and collecting data. On the other hand, MiC textbooks used activities that real mathematicians would be involved with, such as surveying and analyzing data to compose mathematical concepts.

• School Mathematics
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• v.12 no.4
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• pp.585-604
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• 2010

This study aims to investigate understanding of meanings of division, quotitive division and partitive division, by the third graders and preservice elementary teachers. To do this, we analysed and compared mathematics textbooks according to 9 mathematics curricula, gathered information about their understanding by questionnaire method targeting 5 third graders and 36 preservice elementary teachers, and analysed their responses in relation to recognition of division-based situations, solution using visual representations, and awareness of quotitive division and partitive division. In Korea, meanings of division have been taught in grade 2 or 3 in various ways according to curricula. In particular, the mathematics textbook of present curriculum shows a couple of radical changes in relation to introduction of division. We raised the necessity of reexamination of these changes, based on our results from questionnaire analysis that show lack of understanding about two meanings of division by the preservice elementary teachers as well as the third graders. And we also induced several didactical implications for teaching meanings of division.

• Education of Primary School Mathematics
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• v.26 no.4
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• pp.317-332
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• 2023

Mathematical modeling activities hold the potential for diverse applications, involving the transformation of real-life situations into mathematical models to facilitate problem-solving. In order to assess the cognitive, affective, and social dimensions of students' engagement in mathematical modeling activities, this study conducted sessions with ten groups of fifth-grade elementary school students. The ensuing processes and outcomes were thoroughly analyzed. As a result, each group effectively applied mathematical concepts and principles in creating mathematical models and gathering essential information to address real-world tasks. This led to notable shifts in interest, enhanced mathematical proficiency, and altered attitudes towards mathematics, all while promoting increased collaboration and communication among group members. Based on these analytical findings, the study offers valuable pedagogical insights and practical guidance for effectively implementing mathematical modeling activities.

• Communications of Mathematical Education
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• v.38 no.2
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• pp.167-186
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• 2024

Since the 5th mathematics curriculum, the goals of mathematics education have been presented in three categories: cognitive, process, and affective goals. In the 2022 revised mathematics curriculum, the content system was also presented as knowledge-understanding, process-skill, and value-attitude. Therefore, in order to present lesson goals to students, it is necessary to present all three aspects that are the goals of mathematics education. Currently, the lesson titles presented in mathematics textbooks are directly linked to lesson goals and are the first source of information for students during class. Accordingly, this study analyzed how the three categories of lesson titles and content system presented in the 2015 revised 1st and 2nd grade mathematics textbook are connected. As a result, most lesson titles presented two of the three categories, but the reflected elements showed a tendency to focus on the categories of knowledge-understanding and process-skill. Some cases of lesson titles reflected content elements of the value-attitude category, but this showed significant differences depending on the mathematics content area. Considering the goals of mathematics lessons, it will be necessary to look at ways to present lesson titles that reflect the content elements of the value-attitude categories and also explore ways to present them in a balanced way. In particular, considering the fact that students can accurately understand the goals of the knowledge-understanding categories even without presenting them, descriptions that specifically reflect the content elements of the process-skill and value-attitude categories seem necessary. Through this, we attempted to suggest the method of presenting the lesson titles needed when developing the 2022 revised mathematics textbook and help present effective lesson goals using this.

• Education of Primary School Mathematics
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• v.24 no.3
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• pp.115-134
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• 2021

This study implemented a comparative analysis of the international mathematics curriculum on time learning. It aimed the improvement of challenges students facing when they learn time. As a preliminary step, I reviewed the previous literature on teaching and learning of time, and based on this, I drew five issues that require to be considered for better time learning. The coverage of time contents and the learning periods of respective time contents were compared across the mathematics curriculum of Korea, Japan, Australia, the United States, and Finland. The textbook cases of those countries were analyzed with a special focus on the five issues. The results showed that the Korean curriculum assigned time learning contents compressively during short periods compared to other countries. responded to the issues on teaching and learning of time, several improvement ideas were deduced from textbook cases of other countries. Implications for the curriculum reform were discussed underlying the results.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.769-788
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• 2010

This study analyzed the characteristics of units about ratio and rate between Korean mathematics textbooks and MIC of America. With bases to this, I would find the problems and suggested point of curriculums about ratio and rate in order to propose the basic materials of developing mathematic curriculum and textbook and improving the mathematic teaching method. With bases to this, Korean mathematics textbooks should be supplemented as follows. A. Develop the various problems with meaningful situation rather than the problems which can be solved with algorithms and rules. B. Develop the students' rational judgement competence with the situation that can induce the active communication. C. Develop the problem situation that need the student's activity. D. Let the students easily take the situation about ratio and rate with suggesting much visual mode and sustain their interest and positive learning attitude.

• Journal of The Korean Association of Information Education
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• v.14 no.4
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• pp.537-545
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• 2010

The purpose of this paper is to develop mathematics learning contents for elementary school 3rd graders and to verify the educational effectiveness of contents developed. An ADDIE model was applied to develop mathematics learning contents based on storytelling for concept learning. After extracting 54 concepts from the mathematics curriculum, researchers designed strategies using concepts that were combined with context which is familiar to young students. Researchers implemented a survey and interview to students and teachers to verify the effectiveness of contents. As a result, the understanding, interest, concentration, and expectation of students toward the contents developed were very high, and teachers also mentioned that these contents could be very useful teaching materials for motivation.

• Education of Primary School Mathematics
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• v.21 no.2
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• pp.193-208
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• 2018

Classification is presented in the curriculum of elementary school mathematics, science, Korean language, and integrated subjects as the major function that needs to be learned. In addition, mathematics textbooks teach the classification as a basic process for organizing and interpreting collected materials in a separate unit. So, we analyzed the curriculum documents and textbooks of mathematics, science, Korean language, and integrated subjects. And we explored how to teach the classification in the context of mathematics subject. As a result, it is necessary to find different classification criteria in conjunction with detailed observation and investigation activities, and to teach that considering the circumstances and purpose of the classification. It also provided implications on how to revive converged classes that focus on big ideas and skills, which are commonly offered by various subjects.