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A Review of the Role of Domain in Representational Activities for Forming the Concept of Linear Functions  

Kim, Jin-Hwan (Department of Mathematics Education, Yeungnam University)
Publication Information
Communications of Mathematical Education / v.24, no.1, 2010 , pp. 49-65 More about this Journal
Abstract
The purpose of this study is to encourage the role of domain to consider the teaching of the concept of functions in modeling real situations. To do this, it is analyzed that how to introduce the concept of functions and linear functions in textbooks treated in the 1st grade and the 2nd grade of middle school. This study also reviewed the role of domain in representational activities for modeling real situations using linear functions. In these reviews, it found that many textbooks do not consider the domain in the equations of functions and these graphs and several text books used linear functions for modeling real situations which are not represented by linear functions contextually. It is concluded that the domain of function is an important concept that will be considered any representational activities for functions.
Keywords
function; linear function; domain; concept definition; concept image; representation;
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