• 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.

• Journal of the Korean School Mathematics Society
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• v.7 no.1
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• pp.83-102
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• 2004

The purpose of this study was to investigate addition strategies of the 1st year elementary school students compared to the strategies recommended by the 7th national curriculum. We used interviewed children's worksheets to analyze the children's strategies. The results of the study showed that the formal strategies the textbook recommended and the children's strategies were so different. Teachers need to articulately comment two strategies when they teach mathematics in the classrooms.