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Students' Recognition and Representation of the Rate of Change in the Given Range of Intervals  

Lee, Dong Gu (Moonjung High School)
Shin, Jaehon (Korea National University of Education)
Publication Information
Journal of Educational Research in Mathematics / v.27, no.1, 2017 , pp. 1-22 More about this Journal
Abstract
This study investigated three $10^{th}$ grade students' concept of rate of change while they perceived changing values of given functions. We have conducted a teaching experiment consisting of 6 teaching episodes on how the students understood and expressed changing values of functions on certain intervals in accordance with the concept of rate of change. The result showed that the students did use the same word of 'rate of change' in their analysis of functions, but their understanding and expression of the word varied, which turned out to have diverse perceptions with regard to average rate of change. To consider these differences as qualitatively different levels might need further research, but we expect that this research will serve as a foundational study for further research in students' learning 'differential calculus' from the perspective of rate of change.
Keywords
covariational reasoning; function; rate; rate of change; average rate of change; instantaneous rate of change;
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