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Analysis on cognitive characteristics of factorizing process in the perspective of structure sense
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  • Journal title : The Mathematical Education
  • Volume 54, Issue 4,  2015, pp.365-383
  • Publisher : Korea Society of Mathematical Education
  • DOI : 10.7468/mathedu.2015.54.4.365
 Title & Authors
Analysis on cognitive characteristics of factorizing process in the perspective of structure sense
Chang, Hyewon; Kang, Jeonggi;
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 Abstract
Factorization asks the recognition of the structure of polynomials, compared to polynomial expansion with process characteristic. Therefore it makes students experience a lot of difficulties. This study aims to figure out causes of the difficulties by identifying students` cognitive characteristics in factorizing in the perspective of `structure sense`. To do this, we gave six factorizing problems of three types to middle school students and selected six participants as interviewees based on the test results. They were classified into two categories, structure sense and non-structure sense. Through this interview, we figured out the interviewee`s cognitive characteristics and the causes of difficulty in the perspective of structure sense. Furthermore, we suggested some didactical implications for encouraging structure sense in factorizing by identifying assistances and obstacles for recognition of structures.
 Keywords
structure sense;factorization;polynomial expansion;process;object;APOS theory;
 Language
Korean
 Cited by
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