nasim asghary; fatemeh zahra heidari
Abstract
The purpose of this study was to investigate how to construct algebraic concepts in the third chapter of the 7th grade’s mathematical book, based on the theoretical frameworks of Sfard and Tall. This research is quality type and the content analysis method was used. This study in terms of purpose, ...
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The purpose of this study was to investigate how to construct algebraic concepts in the third chapter of the 7th grade’s mathematical book, based on the theoretical frameworks of Sfard and Tall. This research is quality type and the content analysis method was used. This study in terms of purpose, is in applied research group and in terms of collecting and controlling variables in non-experimental research group. This chapter consists four sections of numerical patterns, algebraic expressions, numerical value of an algebraic expression, and equation. This study have been investigated how to construct algebraic concepts of variable and algebraic expressions, using the theoretical frameworks of Sfard and Tall. the research findings Indicates that the educational process of algebraic concepts in the book, is being performing in a way that the condensation stage (the second stage in the construction of the concept) has inefficiently been implemented so that quickly passed to the reification stage (the third stage in the construction of the concept), it means that enough time was not spend on and even some time, it overlooked. Also, according to the Gray & Tall theory, the construction of the concept has remained in the procedural stage and has not reached the last stage. Therefore, according to theories of concept construction, there is no structural and conceptual understanding of variables and algebraic expressions.
