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The boundary between arithmetic and algebra: conceptual understanding in two language systems

 

作者: Eon Harper,  

 

期刊: International Journal of Mathematical Education in Science and Technology  (Taylor Available online 1980)
卷期: Volume 11, issue 2  

页码: 237-243

 

ISSN:0020-739X

 

年代: 1980

 

DOI:10.1080/0020739800110215

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

120 pupils in years 1 to 5 from two grammar schools were interviewed using specially prepared tasks to study the variety of interpretations given to letters by adolescents. The results indicate that two distinct conceptual understandings of the role played by a letter in relation to geometrical data exist in pupils’ thinking. The two usages correspond respectively to an interpretation of the letter as an adjunct to conventional arithmetical symbols, and to the letter interpreted as an algebraic entity.

 

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