The Recognition of Novices on Algebraic Expressions

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  • 代数初学者の文字式に対する認識
  • ダイスウ ショガクシャ ノ モジシキ ニ タイスル ニンシキ

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Abstract

The purpose of this study was to investigate the recognitions of novices on algebraic expressions and the relationships between recognitions and error patterns. A set of interviews was conducted on 14 students in the seventh grade. The subjects were asked to formulate algebraic expressions and to explain the difficulties in formulating algebraic expressions. The results indicated that there were six categories in their recognitions; the nature of algebraic answers, notations in algebra, the means of letters, generalization, monitoring, and the incompetence. It was also suggested that measuring the nature of algebraic answers and the means of letters was especially useful to assess the extent of students' understandings of algebraic expressions.

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