• Journal of Digital Contents Society
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• v.10 no.2
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• pp.367-373
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• 2009

Computer programming education helps students understand abstract concepts better and solve given problems independently. Many previous studies on programming education have focused on procedural programming languages such as BASIC and C, but studies on objected-oriented program ming language like JAVA is rare. This paper examines how an architectural neural, objected-oriented JAVA programming study system can improve logical thinking ability and encourage self-led study and stimulate interests in computers among elementary school students. The system has been developed and is suitable for distributed Internet environment. The experiment results demonstrated that the objected-oriented programming education enhances logical thinking ability, exerts a positive impact on student achievement in math and science, and stimulate interests in computers.

• School Mathematics
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• v.18 no.1
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• pp.1-14
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• 2016

In this paper, in order to lay the foundation for clearly determining the scope of contents handled in elementary math textbooks in Korea, what may be issues are discussed with respect to the contents handled in the current math textbooks. First of all, handling of percent point, concave polygons, and possibilities of event that will happen are discussed, the handling of them can be a issue in the sense of inconsistencies to the curriculum. Next, handling of fractions attaching units of discrete quantities and fractions attaching 'times' are discussed, the handling of them can be a issue in the sense of gap between everyday life and definition in math textbooks. Finally, handling of representing natural numbers into fractions and the positional relationship of geometrical figures are discussed, the handling of them can be a issue in the sense of a logical jump. The following three implications obtained from these discussions are presented as conclusions. First, it is necessary to establish clearly the relationship of textbooks and curriculum. Second, it is necessary to give attention to using the way to define or deal with concepts in math textbooks mixed with the way to use them in everyday life. Third, it is necessary to identify and eliminate the logical jumps in math textbooks.

• Communications of Mathematical Education
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• v.36 no.4
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• pp.469-486
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• 2022

Counting occupies a fundamental and important position in mathematical learning due to its relation to number concepts and numeral operations. In particular, counting up to large numbers is an essential learning element in that it is structural counting that includes the understanding of place values as well as the one-to-one correspondence and cardinal principles required by counting when introducing number concepts in the early stages of number learning. This study aims to derive didactical implications by investigating the possibility of and the strategies for counting large numbers that is expected to have no students' experience because it is not composed of current textbook activities. To do this, 89 second-grade elementary school students who learned the three-digit numbers and experienced group-counting and skip-counting as textbook activities were provided with questions asking how many penguins were in a picture where 260 penguins were irregularly arranged and how to count. As a result of analyzing students' responses in terms of the correct answer rate, the strategy used, and their cognitive characteristics, the incorrect answer rate was very high, and the use of decimal principles, group-counting, counting by one, and partial sum strategies were confirmed. Based on these analysis results, several didactical implications were derived, including the need to include counting up to large numbers as textbook activities.

• The Mathematical Education
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• v.63 no.3
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• pp.393-409
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• 2024

The number line model, which intuitively marks numerical magnitudes in space, is widely utilized to help in understanding the magnitudes that fractions and decimals represent. The study analyzed 6^th graders' understanding of fractions and decimals, their problem solving strategies, and whether individual differences in the flexibility of various strategy uses are associated with the accuracy of numerical representation, calculation fluency, and overall mathematical achievement. As a result of the study, students showed relatively lower accuracy in representing fractions and decimals on a number line compared to natural numbers, especially for fractions with odd denominators compared to even denominators, and for two-digit decimals compared to three-digit decimals. Regarding strategy use, students primarily used benchmark, segmentation, and approximation strategies for fractions, and benchmark, rounding, and transformation strategies for decimals sequentially. Lastly, as students used various representation strategies for fractions, their accuracy in representing fractions and their overall mathematical achievement scores showed significantly better outcomes. Taken together, we suggest the need for careful instruction on different interpretations of fractions, the place value of decimals, and the meaning of zero in decimal places. Moreover, we discuss instructional methods that integrate the number line model and its diverse representation strategies to enhance students' understanding of fractions and decimals.

• Education of Primary School Mathematics
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• v.25 no.1
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• pp.57-79
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• 2022

Current mathematics It is necessary to ensure that ratio and proportion concept is not distorted or broken while being treated as if they were easy to teach and learn in school. Therefore, the purpose of this study is to analyze the activities presented in the textbook. Based on prior work, this study reinterpreted the proportional reasoning task from the proportional perspective of Beckmann and Izsak(2015) to the multiplicative structure of Vergnaud(1996) in four ways. This compared how they interpreted the multiplicative structure and relationships between two measurement spaces of ratio and rate units and proportional expression and proportional distribution units presented in the revised textbooks of 2007, 2009, and 2015 curriculum. First, the study found that the proportional reasoning task presented in the ratio and rate section varied by increasing both the ratio structure type and the proportional reasoning activity during the 2009 curriculum, but simplified the content by decreasing both the percentage structure type and the proportional reasoning activity. In addition, during the 2015 curriculum, the content was simplified by decreasing both the type of multiplicative structure of ratio and rate and the type of proportional reasoning, but both the type of multiplicative structure of percentage and the content varied. Second, the study found that, the proportional reasoning task presented in the proportional expression and proportional distribute sections was similar to the previous one, as both the type of multiplicative structure and the type of proportional reasoning strategy increased during the 2009 curriculum. In addition, during the 2015 curriculum, both the type of multiplicative structure and the activity of proportional reasoning increased, but the proportional distribution were similar to the previous one as there was no significant change in the type of multiplicative structure and proportional reasoning. Therefore, teachers need to make efforts to analyze the multiplicative structure and proportional reasoning strategies of the activities presented in the textbook and reconstruct them according to the concepts to teach them so that students can experience proportional reasoning in various situations.

• Education of Primary School Mathematics
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• v.11 no.1
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• pp.59-74
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• 2008

Mathematical knowledge is not exact definition but the supposition. Considering the nature of mathematics, realization of mathematics teaching which pursues critical thinking and rationality would be our problems. Accordingly, I set the subject of this study whether learning of constructivist discussion, which induces reflective thinking through communicating with others by expression with language of mathematical thinking in discussion, is effective against attitude on Mathematics and Mathematics achievement and study themes are as follows; A. Is learning of constructivist discussion effective against attitude on Mathematics? A-1. Is there any difference of self-conception on the subject between experimental group applied to learning of constructivist discussion and comparative group? A-2. Is there any difference of attitude on the subject between experimental group applied to learning of constructivist discussion and comparative group? A-3. Is there any difference of learning habits on the subject between experimental group applied to learning of constructivist discussion and comparative group? B. Is learning of constructivist discussion effective against mathematics achievement? The objects of study are 30 children of one class in the third grade of elementary school in Seoul for experimental group, and another one class with 30 children is comparative group. Study results and conclusion based on those results are as follows; First, students make reflective thinking through communication each other, therefore, instructor should create discussion environment for communication to express and form their mathematical thinking. Next, adaptability in student's mathematics activities and mathematical ideas should be permissible, and those should become divergent thinking. However, this study analyzed comparative results from only two each class having enrollment of thirty in the third grade. Accordingly, results from students in various grades and environment that are required to get more significant conclusion statistically.

• The Mathematical Education
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• v.56 no.1
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• pp.81-100
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• 2017

The concept of variable is a big idea to develop algebraic thinking. Variable has multiple meanings such as the unknown, a tool for generalization, and the relationship between varying quantities. In this study we analyzed in what ways the meanings of variable were presented in the current elementary mathematics textbooks and workbooks. The results showed that the most frequent meaning of variable was 'the unknown', 'a tool for generalization', and 'the relationship between varying quantities' in order. A close look at the results revealed that the same symbol was often used in representing different values of variable as the unknown. In taking variable as a tool for generalization, questions to provoke generalization were sometimes included not in the textbooks but in the teachers' manuals. The main focus in dealing with variable as the relationship between varying quantities was on finding out the dependent values compared to the independent ones. Building on these results, this study is expected to suggest implications for how to deal with variable concept in elementary mathematics instructional materials.

• School Mathematics
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• v.4 no.4
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• pp.633-642
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• 2002

This paper focuses on the concepts of a value of ratio and a rate in elementary school mathematics. Although the concept of a value of ratio can be distinguished meaningfully from that of a rate by phenomenological analyses, this distinction is impossible at the elementary school level. Two concepts tend to be treated as identical, therefore they need to be classified by the other methods. By analyzing the series of mathematics textbooks from the first curriculum to the present 7th curriculum, this paper investigated how two concepts have been transposed into the products of school mathematics. In addition, we discussed how the difference of two concepts in the changing process of definitions have been presented clearly to the students. As a result, this paper concluded that the difference of two concepts has not been developed clearly for elementary students in general, except the textbook by the 7th curriculum. The definitions of two concepts were described obscurely so that the students may confuse the concept of a value of ratio with that of a rate. The role of a value of ratio needs to be reconsidered when it is applied to set proportional expressions. Therefore, this paper suggests not adhering to the terminology ‘value of ratio’ to present the ratio as a quotient or the rate as a fractional representation in school mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.1
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• pp.1-18
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• 2011

The purpose of this study was to investigate the effects of estimation strategy on placing decimal point in multiplication and division of decimals. To examine the effects of improving calculation ability and reducing decimal point errors with this estimation strategy, the experimental research on operation with decimal was conducted. The operation group conducted the decimal point estimation strategy for operating decimal fractions, whereas the control group used the traditional method with the same test paper. The results obtained in this research are as follows; First, the estimation strategy with understanding a basic meaning of decimals was much more effective in calculation improvement than the algorithm study with repeated calculations. Second, the mathematical problem solving ability - including the whole procedure for solving the mathematical question - had no effects since the decimal point estimation strategy is normally performed after finishing problem solving strategy. Third, the estimation strategy showed positive effects on the calculation ability. Th Memorizing algorithm doesn't last long to the students, but the estimation strategy based on the concept and the position of decimal fraction affects continually to the students. Finally, the estimation strategy assisted the students in understanding the connection of the position of decimal points in the product with that in the multiplicand or the multiplier. Moreover, this strategy suggested to the students that there was relation between the placing decimal point of the quotient and that of the dividend.

• The Journal of the Convergence on Culture Technology
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• v.9 no.4
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• pp.95-103
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• 2023

This paper proposes an artificial intelligence convergence education program for teaching the main concept and principle of Support Vector Machines(SVM) at elementary schools. The developed program, based on Jeju's natural environment theme, explains the decision boundary and margin of SVM by vertical and parallel from 4th grade mathematics curriculum. As a result of applying the developed program to 3rd and 5th graders, most students intuitively inferred the location of the decision boundary. The overall performance accuracy and rate of reasonable inference of 5th graders were higher. However, in the self-evaluation of understanding, the average value was higher in the 3rd grade, contrary to the actual understanding. This was due to the fact that junior learners had a greater tendency to feel satisfaction and achievement. On the other hand, senior learners presented more meaningful post-class questions based on their motivation for further exploration. We would like to find effective ways for artificial intelligence convergence education for elementary school students.