• Journal of the Korean School Mathematics Society
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• v.7 no.2
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• pp.99-116
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• 2004

This study investigates the concept of irrational number which middle school students begin to learn for the first time in their learning mathematics. Further, this explores how that concept is being taught, how much students understand that concept and things that students have difficulty in understanding relating to the concept of irrational number. Thus we try to figure out how the concept of irrational number should be taught for the most effective students' understanding. Thus, we want to provide some suggestions for teaching and learning irrationals numbers.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.3
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• pp.431-456
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• 2016

The purpose of this study is to investigate the appropriate time of introduction and the usage of the number line, in order to suggest the right point of learning the number concept to the elementary school students. For the efficient achievement of this purpose, we investigated the mathematical models for constructing the number concept such as number line, empty number line and double number line, counting and development of number concept. Then, we conducted case study on the time of introduction and the usage of the number line. Finally, we analyzed the result. First, there is need for adjustment to conduct the introduction of the number line from the second year of elementary school, so to help the students understand the continuing number concept through the understanding on the metaphorical concept of the number line. Second, there is the need of positive introduction and the use on the mathematical models; empty number line which helps to draw various thinking strategy visually through the process of operations such as addition and subtraction; the division into equal part and division by equal part in which multiplicative comparative situation or division takes place; the double number line which helps to understand the rate or proportional distribution. Finally, when adopting the number line, the empty number line, or the double number line, we suggested the necessity of learning about elaborate guidance and the usage in order to fully understand the metaphorical concept of the number line.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.193-213
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• 2016

This study has two goals. The First is to develop and apply a step-by-step program and the degree to which students' mathematical skills. The second is to analyze mathematical attitude change around the first grade students was done. The program for learning complement number is composed of series of 5 steps and 11 classes. Play for learning complement number, taking into account the difficulty of the learning steps 1-5 are organized. First step is composed of the classes which fragmented pieces of shapes to complete the entire geometry with fun activities for the entire part of the concept of learning and it maintenance concepts and can naturally learn by associating step. In second step, tools to take advantage of the real world and collecting the conservative concept. 3rd steps is to repair the mathematical concept of the parish in the learning stage of expansion. 4th step is halrigalri, number cards, making ten games etc. 5th step is to verify the concept of complement number and number operation ability. The concept of complement number through fun activities can improve students' mathematical skills, and mathematical attitude change. Early in the program, students use the finger to throw acid in the process. Simple addition and subtraction calculations may take a long time and error, but more and more we progress through the program using the fingers is eliminated and a more complex form calculations was not difficult to act out.

• Communications of Mathematical Education
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• v.31 no.1
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• pp.85-101
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• 2017

The purpose of this study is to investigate how elementary school students understand and use the number line relating number concept and what is the main problem in the learning process. For the efficient achievement of this purpose, we investigated how the number line metaphor is related to the number concept and considered the role of the number line on Freudenthal's number concept teaching theory. The test conducted to find the degree of understanding and difficulty on using the number line by actual elementary school students consisted of two questions ; to find appropriate number corresponding to the given number on the number line and to identify contents of chapters about the use of number line on each grade. It was found that many students couldn't solve the problem represented by the number line though they could solve the problem represented by other ways such as number track and pictures. The only difference between the two problems was the way of representation, and they had same contents and structure. This study tried to figure out the meaning of this phenomenon. Also, by using various teaching-learning method (number track, pictures, empty number line, and double number line etc.), this study was aimed to provide the way to help learning 'related number concept' and to solve the difficulty on understanding the number line.

• Korean Journal of Child Studies
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• v.25 no.1
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• pp.1-12
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• 2004

This study investigated the relations of children's age, intelligence, and the concept of conservation to their learning of English. Ten 4-year-old children from 1 child-care center and 13 7-year-old children from 1 elementary school were tested after completion of 8 sessions of experimental English classes. Children's intelligence was measured by K-WPPSI for 4-year olds and K-WISC for 7-year-olds. Children were tested for number and liquid conservations. A Korean teacher with 11 years of experience of teaching children at American elementary schools taught the 2 groups with the same subjects and methods. Data were analysed by independent samples t-test, Mann-Whitney U test, and Pearson's r. The results showed that children's age and the concept of conservation were related to English learning. No statistically significant relationship with IQ was found.

• Proceedings of the KIEE Conference
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• 1989.07a
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• pp.495-499
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• 1989

Concept is the set of selected neurons in a stable state of a neurel network. The Recognitron uses a parallel feedback structure to support concept learning. A number of clusters can exist in response to a given input, each of which make up a selective neuron. There are supervised and unsupervised learnig methods in concept teaming. In this paper, we have chosen unsupervised learning. Also, a new concept called relaxational learning has been introduced to stop runaway weights

• Journal of Korean Elementary Science Education
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• v.35 no.3
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• pp.377-387
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• 2016

Whether textbooks faithfully reflect the curriculum contents is an important educational issue. The previous studies on the textbooks did not analyze the relationship described in the textbooks or the structure. In this regard, this study aims to analyze how the concept of life science area in the elementary school science textbooks developed on the basis of the 2009 revised curriculum is linked. In addition, it seeks to analyze how the concept presented in the learning content achievement standards of the curriculum is connected to other concepts. Towards this end, the conceptual linkage of eight units in the life science domain of elementary school science textbooks based on the 2009 revised curriculum was analyzed. The contents of the life science domain in the science textbooks were analyzed through a semantic network analysis, and the semantic network on the concept linked to the one described in curriculum's learning objectives was also analyzed. The results are as follows: 1) It will be difficult for students to understand the concept due to the complexity of the semantic network resulting from a number of concepts. 2) The curriculum's learning objectives presented in the curriculum are not faithfully reflected in the textbooks. 3) The textbooks are described on the basis of specific curriculum's learning objectives. Based on the findings of this study, the number of concepts described in the elementary school science textbooks needs to be significantly reduced so that the concepts can be meaningfully linked to each other.

• Journal of The Korean Association For Science Education
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• v.23 no.6
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• pp.627-633
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• 2003

This study is to investigate the level and connection of learning concepts related to metabolism presented in life science textbooks developed according to the national common basic curriculum. One kind of elementary school, and three kinds of middle school and high school science textbooks were analysed. The gross number of concepts related to metabolism was 42 in elementary, 149 in middle and 126 in high school science textbooks. The number of concepts was much more different by school than by publisher. Ratio of the number of concrete versus formal concepts decreased gradationally by grade, but the number of learning concepts increased radically by grade. Thus, it is implied that science learning concepts are presented considering the number of concepts as well as cognitive level of learner, and unit and content are constructed on the connection among them in developing science curriculum and textbooks.

• Journal of the Korea Society of Computer and Information
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• v.14 no.6
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• pp.99-106
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• 2009

Over recent decades, concept mapping has been used as a valuable Learning and Teaching tool. A number of studies have shown a positive impact on student learning. One of the disadvantages of this technique has been that assessing them or providing feedback to students is time consuming. We aim here to introduce ways of reducing the complexity of using concept map techniques in online activities. Several types of scoring methods for the concept map based assessment have been developed. In this paper, we describe the development of an automatic assessment system that implements those techniques. We contribute a design that uses semantic web technologies for both the management and the scoring of the concept maps.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.309-331
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• 2007

Mathematics education starts from learning the concept of number. How the children at the beginning of school age learn the concept of natural number is therefore important for their future mathematics education. Since ancient Greek period, the concept of natural number has reflected various mathematical-philosophical points of view at each period and has been discussed ceaselessly. The concept of natural number is hard to define. Since 19th century, it has also been widely discussed in psychology and education on how to teach the concept of natural number to the children at the beginning of school age. Most of the works, however, were focused on limited aspects of natural number concept. This study aims to show the best way to teach the children at the beginning of school age the various aspects of natural number concept based on activistic perspective, which played a crucial role in modern mathematics education. With this purpose, I investigated the theory of the activistic construction of knowledge and the construction of natural number concept through activity, and activistic approaches about instruction in natural number concept made by Kant, Dewey, Piaget, Davydov and Freudenthal. In addition, I also discussed various aspects of natural number concept in historical and mathematical-philosophical points of view. Based on this investigation, I tried to find out existing problems in instructing natural number to primary school children in the 7th National Curriculum and aimed to provide a new solution to improve present problems based on activistic approaches. And based on activistic perspective, I conducted an experiment using Cuisenaire colour rods and showed that even the children at the beginning of school age can acquire the various aspects of natural number concept efficiently. To sum up, in this thesis, I analyzed epistemological background on activistic construction of natural number concept and presented activistic approach method to teach various aspects of natural number concept to the children at the beginning of school age based on activism.