• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.339-356
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• 2010

It is important for children to develop statistical reasoning as they think through data. In particular, it is imperative to provide children instructional situations in which they are encouraged to consider variability in data because the ability to reason about variability is fundamental to the development of statistical reasoning. Many researchers argue that even highperforming mathematics students show low levels of statistical reasoning; interventions attending to pedagogical concerns about child ren's statistical reasoning are, thus, necessary. The purpose of this study was to investigate 15 gifted elementary students' various ways of understanding important statistical concepts, with particular attention given to 3 students' reasoning about data that emerged as they engaged in the process of generating and graphing data. Analysis revealed that in recognizing variability in a context involving data, mathematically gifted students did not show any difference from previous results with general students. The authors suggest that our current statistics education may not help elementary students understand variability in their development of statistical reasoning.

• The Journal of Korean Association of Computer Education
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• v.13 no.5
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• pp.71-80
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• 2010

A lot of studies in and outside the country says that robots can become an effective tool in developing creativity, problem solving skills and positive learning motivation in the knowledge and information era. This study aims to verify the educational effect of robots in mathematics education by applying robots to mathematics education as a learning tool in an effort to improve the teaching/learning environment. For this study, the mathematics curriculum of elementary school and robot programming were analyzed and then a robot integrated mathematics program was developed. The developed program was applied to the mathematics education of an elementary school year 5 over 16 times. The result of the study showed that the experimental group which used the robot integrated program has better learning attitude and problem solving skills than the group which used the traditional method. The result also showed that the mathematics activities that used robot programming contributed to developing problem solving skills and provided positive mathematics learning experience.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.89-105
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• 2022

In this research, in order to obtain teaching/learning implications for effective use of questions when teaching number and operation area, the types of questions presented in chapters of number and operation area of 2015 revised elementary math textbooks and the function of questions were compared and analyzed by grade cluster. As a result of this research, the types of questions presented in chapters of number and operation area showed a high percentage of occurrences in the order of reasoning questions, factual questions, and open questions not calling for reasoning in common by grade cluster. And reasoning questions were predominant in all grade clusters. In addition, in all grade clasters, the proportion of questions acting as a function to help guess, invention, and solving problems and questions acting as a function to help mathematical reasoning were relatively high. As such, it can be inferred that the types and functions of the questions presented in chapters of number and operation area are related to the characteristics of the learning content by grade cluster. This research will be able to contribute to the preparation of advanced teaching/learning plans by providing reference materials in the questions when teaching number and operation area.

• School Mathematics
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• v.6 no.4
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• pp.345-359
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• 2004

Many researchers have studied students' error patterns in learning mathematics but the results haven't much effected on teaching situation. This paper is to find out how the results have been reflected on 6th and 7th Korean elementary school mathematics textbooks, workbooks, and teachers' guide books. The focuses of analysis are the four; (a)Type of materials, (b)Type of problems, (c)Type of errors and number of rela- ted problems, and (d)organization and explanation type. Results indicate that both 6th and 7th materials don't use effectively students' error patterns to teach computation, in particular, 7th textbooks scarcely treat them. It suggests that we should grope a way to use the fruitful results of this area to teach mathematics effectively.

• Journal of Educational Research in Mathematics
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• v.9 no.1
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• pp.121-132
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• 1999

We have compared Korean and American mathematics curriculums in 5 areas: whole number(concepts and its operations); geometry; pattern and relations; measurements; statistics and probability. We have found significant differences in geometry area. Korean curriculums contain simple planar figures (circles, triangles, rectangles, and squres) and some of the spatial figures until 3rd grades. But in America they learn various planar and spatial fugures(cone, pyramid, triangular prism, etc) since the 1st grade starts. They also start the 1st grade by dealing with topological concepts like open/closed, inside/outside, order, etc. As the grade goes on, students learn other geometrical concepts like congruence, symmetry, 3-dimensional views. We also found that American curriculum focuses on students' activities and courages communication through projects, groupwork, journal writing, etc. It's also superior in respects of motivation, and connections with real life and other subjects. Korean curriculum needs more improvements in these aspects. Furthermore for lower graders reviewing sections need to be enhanced for feedback.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.149-168
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• 2014

Growing in its size, the contents of the teaching-learning programs for mathematically gifted children from A program in Seoul Metropolitan Office of Education were examined in terms of the individual subjects provided through the courses of gifted education programs, and it was evaluated based on the revised version of the existing module. As a result, the educational objectives of teaching-learning program were clear, differentiated and obtainable. Among the program, the advanced parts were more than the selective parts, which mainly consisted of numbers and calculation, shapes, regularity and problem solving parts and had latest contents of research in balance. Additionally, every part of the program needs mathematical and creative thinking and approach and has proper evaluation index for problem solving. The presented materials in the programs are specific and appropriate, though some of them did not suggest the evaluation index for cultivating personality and value clearly and the reference books. The teaching-learning programs were focusing on problem-based learning and cooperative learning and using performance assessment for evaluation.

• Communications of Mathematical Education
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• v.24 no.2
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• pp.385-413
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• 2010

The purpose of this study is to set appropriate targets for school-year levels and types of mathematical communication. First, I classify mathematical communication into four types as Discourse, Representation, Operation and Complex and refer to them collectively as the 'D.R.O.C pattern'. I have listed achievement factors based on the D.R.O.C pattern hearing opinions from specialists to set a target, then set a final target after a 2nd survey with specialists and teachers. I have set targets for mathematical communication in elementary schools suitable to its status and students' levels in our country. In NCTM(2000), standards of communication were presented only from kindergarten to 12th grade students, and, for four separate grade bands(prekindergarten through grade 2, grades 3-5, grades 6-8, grades 9-12), they presented characteristics of the same age group through analysis of classes where communication was active and the stated roles of teachers were suitable to the characteristics of each school year. In this study, in order to make the findings accessible to teachers in the field, I have classified types into Discourse, Representation, Operation and Complex (D.R.O.C Pattern) according to method of delivery, and presented achievement factors in detail for low, middle and high grades within each type. Though it may be premature to set firm targets and achievement factors for each school year group, we hope to raise the possibility of applying them in the field by presenting targets and achievement factors in detail for mathematical communication.

• Education of Primary School Mathematics
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• v.19 no.1
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• pp.61-78
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• 2016

The purpose of this study was to investigate the perceptions and perspectives on meanings and use of manipulatives in mathematics lessons. For the investigation, the researcher reviewed related literature and analyzed the perceptions of preservice teachers on the meanings and use of manipulatives in mathematics lessons. The participants were 75 preservice elementary school teachers who took a teaching practice course at the 1st or the 2nd semester in 2015. These preservice teachers observed mathematics lessons for two weeks during the student teaching periods. They were requested to observed the use of manipulatives in mathematics lessons and wrote about their ideas on the meanings and use of manipulatives. Result of the research was that the perceptions on the meanings and use of manipulatives from the preservice teachers' perspectives are as follows. Manipulatives in mathematics lessons were self-made or pre-made manufactures. The using time of manipulatives during lessons varies, and the teachers provide the manipulatives with contexts. Providing in-depth observation during a teaching practice course is allowed opportunities for preservice teachers to reflect their mathematics teaching and learning methods in the classroom.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.1
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• pp.17-37
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• 2015

In this paper, we compared and analyzed the Korean National Mathematics textbooks of the 2007 amendment curriculum and the Harcourt Math in America focused on fractions and decimals. To summarize the results of the analysis are as follows. First, both textbooks introduce fractions to the meaning of parts-whole concept, but the Harcourt Math is stronger than that of Korean Mathematics textbooks in the concept of unit fractions as a generator of fractions. Second, the fractions can be considered trivial materials - a fraction representing 1 whole, a fraction with it's denominator is 1 - were more clearly represented in our US textbooks than those of our Korean textbooks. Third, in the introduction of the term relating to the fractions, Korea is a strong point of view of the classification of fractions than the point of view of representation in comparison with the case of the United States. Fourth, the equivalent fraction and equivalent decimal concepts were described more detail in the United States of textbooks than those of the case of Korean textbooks. Finally, the approaches of fraction and decimal concepts were introduced more mathematically in the case of the United States than those of the case of Korean textbooks.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.827-842
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• 2010

In this paper, actual didactical transposition and dramatization of designing patterns presented in 4th grade mathematics curriculum is critically reviewed. Patterns in designing patterns are not wallpaper patterns generally. The method of designing new patterns using unit given pattern are not the same as the method of designing wallpaper patterns. In the viewpoint of not designing wallpaper patterns, the context of designing new patterns using unit given pattern is said to be putting transparent stickers. In this paper, on the premise of this characteristics, the shape of unit given pattern, the method of designing new patterns using unit given pattern, and the rule of putting unit given patterns continually are critically discussed. The shape of unit given pattern have to be square actually. In designing new patterns using unit given pattern, if the regularities of designing new patterns can be presented, any regularity is fine. Even though the relationship between new patterns and wallpapers designed by using unit given pattern is not clear, in that these two patterns can not be unrelated, designing new patterns using unit given pattern could be an example of wrong elementarization(Freudenthal, 1973).