• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.1-24
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• 2009

The applications of ratio and similarity have been in need of everyday life from ancient times. Euclid's elements Ⅴand Ⅵ cover ratio and similarity respectively. In this note, we have done a comparative analysis to button down the contents of ratio and similarity covered by the math text books used in Korea, Euclid's elements and the math text books used in Japan and America. As results, we can observe some differences between them. When math text books used in Korea introduce ratio, they presented it by showing examples unlike math text books used in America and Japan which present ratio by explaining the definition of it. In addition, in the text books used in Korea and Japan, the order of dealing with condition of similarity of triangles and the triangle proportionality is different from that of the text books used in America. Also, condition of similarity of triangles is used intuitively as postulate without any definition in text books used in Korea and Japan which is different from America's. The manner of teaching depending on the way of introducing learning contents and the order of presenting them can have great influence on student's understanding and application of the learning contents. For more desirable teaching in math it is better to provide text books dealing with various learning contents which consider student's diverse abilities rather than using current text books offering learning contents which are applied uniformly.

• The Mathematical Education
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• v.58 no.4
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• pp.567-588
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• 2019

This study is a follow-up to Lee(2019). Lee(2019) investigated the method of collecting information on the curriculum of elementary and middle school math teachers, when differences were observed between elementary and middle school math teachers in the method of collecting information on the curriculum. Following Lee(2019)'s study, this study looked at the perceptions and experiences of high school math teachers in their curriculum.At the time when the curriculum was changed from time to time, the authority for restructuring curriculum was strengthened. In addition, the role of teachers as 'curriculum restructuring practitioners' became important. However, previous studies have pointed out the structural problem that teachers empathize with the necessity of restructuring the curriculum and have a negative perception of the willingness to practice the curriculum. Therefore, the researcher examined high school teachers who are sensitive to the characteristics and evaluation of the highly hierarchical mathematics subjects. A total of six interviews were conducted with ten high school mathematics teachers in three groups of ten years of teaching experience. Through this, it was possible to observe how teachers as curriculum reconstruction practitioners had thought about curriculum restructuring, and I could observe what difficulties teachers' experienced. This suggests that teachers have two ideas for restructuring the curriculum: 'realistic curriculum reconstruction' and 'ideal curriculum reconstruction'. In addition, the teachers found that there are 'sides of incongruity in the school system' and 'difficulties in the management of teachers'.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.1
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• pp.179-198
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• 2011

The understanding of mathematical concepts should be backed up on a constant basis in oder to grow problem-solving skills which is one of the ultimate goals of math education. The purpose of the study was to provide readers with the information which could be considered valuably for the math educators trying both to prevent mathematical misconceptions and to develop curricular program by estimating the actual conditions and developing backgrounds of the mathematical misconceptions held by the gifted education learners. Accordingly, this study, as the first step, theoretically examined the meaning and the developing background of mathematical misconception. As the second step, this study examined the actual conditions of mathematical misconceptions held by the participant students who were enrolled in the CTY(Center for Talented Youth) program run by a university. The results showed that the percentage of the correct statements made by participant students is only 35%. The results also showed that most of the participant students belonged either to the level 2 requiring students to distinguish examples from non-examples of the mathematical concepts or the level 3 requiring students to recognize and describe the common nature of the mathematical concepts with their own expressions based on the four-level of concept formulation. The causes could be traced to the presentation of limited example, wrong preconcept, the imbalance of conceptual definition and conceptual image. Based on the estimation, this study summarized a general plan preventing the mathematical misconceptions in a math classroom.

• Education of Primary School Mathematics
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• v.20 no.3
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• pp.225-235
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• 2017

The study in this paper considers how elementary school students' interest in mathematics and STEAM literacy could be promoted by conjoining the learning of mathematics with the learning of drone topics. Survey instrument was developed to measure student attitudes toward mathematics and science subjects and to evaluate student beliefs on learning mathematics embedded in science topics. Data were collected from elementary school students by administering pre- and post-tests: students were intervened with examples of math problems embedded in certain science contexts. The findings indicate that elementary school students' experience of solving mathematics problems embedded in science contexts positively affects the promotion of their attitudes toward, beliefs on science subjects and science and engineering career path selection. We hope that the mathematics program using the drone will be used in the classroom for STEAM.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.3
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• pp.279-297
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• 2020

The purpose of this study is to find ways to establish and operate Process-focused Assessment in the classroom as the 2015 revised curriculum has emerged. As a way of doing so, we proposed a Process-focused Assessment through self-assessment and looked at the impact of the applied classes on the mathematical academic performance and affective domain of fifth-grade elementary school students. After selecting two classes of fifth grade with proven homogeneity for research, the experimental group applied Process-focused Assessment through self-assessment and the teacher-led Process-focused Assessment to the comparative group. As a result, it was confirmed that the classes applying Process-focused Assessment through self-assessment significantly improved the math and academic performance of fifth-grade elementary school students. The affective domain of the experimental group did not change significantly, but the analysis of the students' comments and interview data showed that they had more interest and confidence in mathematics.

• Education of Primary School Mathematics
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• v.23 no.4
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• pp.229-255
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• 2020

In this study, considering the OECD's DeSeCo and 2030 projects, the curriculum to develop competency was expected to be more emphasized, and the evaluation standards of the 2015 revised mathematics curriculum for elementary school in Korea and the Australian curriculum were analyzed in depth. To this end, the capabilities newly emphasized in the OECD 2030 Project were examined in detail and examined how the Australian elementary school mathematics curriculum included capabilities in achievement standards and content descriptions. The achievement standards of elementary school mathematics curriculum in Korea and Australia were matched, and the contents of number and arithmetic domain were compared and analyzed, and the skill verbs included in the achievement standards were analyzed and compared to see how their competencies were reflected in the achievement standards. Based on the results of the analysis, implications for improving math achievement standards were derived to faithfully reflect the capabilities into the mathematics curriculum.

• School Mathematics
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• v.8 no.4
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• pp.365-377
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• 2006

This article examines the Korean classroom teachers' perceptions about the 7th national mathematics curriculum for elementary school. Elementary classroom teachers were surveyed using the researcher-made questionnaire (Teacher Perception about Mathematics Curriculum) and 143 teachers completed the questionnaire. The data collected was analyzed by a descriptive analysis. The results revealed that about 67% teachers considered the curriculum was well developed in scope and sequence. However, 43% teachers reported that the teacher's manual should provide clearer explanation instructional strategies to teach the math topics to children. 38(26%) teachers claimed the curriculum contains too much content to teach. 34(24%) of the teachers indicated some contents were developmentally too difficult for their students to understand. The most serious difficulties for the teachers in teaching mathematics was to accommodate individual student's different mathematics abilities, especially accelerated by private lessons at the after school programs.

• Education of Primary School Mathematics
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• v.20 no.1
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• pp.1-18
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• 2017

The purpose of this study is the reorganization of the curriculum on the measurement, a part of the second grade math curriculum, for the improvement of the estimation capability in the elementary school students. Research questions were as follows: (1) how are the estimation capabilities of the students who have taken lessons on the diversified estimation strategies? and (2) how are the mathematical writing capabilities of the students who have taken lessons on the diversified estimation strategies? The study using reconstructed lessons was conducted on 18 second grade students in an elementary school located in Seoul. Results show that the students' estimation capabilities and have improved. They started to use 'about' when writing estimation results, different from writing the accurate measurements. Measurement errors were gradually reduced, ending up with a student who could accurately estimate exactly 1m. In addition, their estimation capabilities in using appropriate estimation strategy and writing skills describing the estimation strategy have improved.

• Journal of Elementary Mathematics Education in Korea
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• v.10 no.1
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• pp.1-19
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• 2006

It is generally accepted that fostering creative thinking is a core in mathematics education and accumulating research products on that topic is really needed. In this study, I hoped to investigate and verify that in mathematics education it was possible to cultivate creative thinking through various and divergent activities, For this purpose, I delat with some illustrations, in which students learned mathematics through the operational activities using teaching tools, problem solving and problem posing activities, and finally they seemed to foster creative mathematical thinking. In conclusion of this paper, I have suggested that in math education those activities should be used to cultivate students' creative thinking in kindergarten or early elementary school. Also I asserted that it is urgently need to store up research products about various materials and methods for those mathematics teaching and learning.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.115-134
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• 2017

It is necessary to understand the characteristics of each type of division problems in other to help students develop a rich understanding when they learn each type of division problems. This study focuses on a specific type of division problems; a quotitive division as finding a scale factor in enlargement context. First, this study investigated via survey how 4th-6th graders and preservice and inservice elementary teachers solved a quotitive division relating to scaling problem. And semi-structured interviews with preservice and inservice elementary teachers were conducted to explore what knowledge they brought when they tried to solve enlargement quotitive division problems. Most of participants solved the given quotitive division problem in the same way. Only a few preservice and inservice teachers interpreted it as a proportion problem and solved in a different way. From the interviews, it was found that different conceptions of context and decontextualization, and different conceptions of times (as repeated addition or as a multiplicative operator) were connected to different solutions. Finally, three issues relating to teaching enlargement quotitive division were discussed; visual representation of two solutions, conceptions connected each solution, and integrating quotitive division and proportion in math textbooks.