Castillo-Garsow, Johnson, & Moore (2013)

Chunky and Smooth Images of Change

The article Chunky and Smooth Images of Change was written by Carlos Castillo-Garsow, Heather Johnson, and Kevin Moore and published in For the Learning of Mathematics in 2013. The article is available to subscribers of FLM at http://flm-journal.org/.

Abstract

Characterizing how quantities change (or vary) in tandem has been an important historical focus in mathematics that extends into the current teaching of mathematics. Thus, how students conceptualize quantities that change in tandem becomes critical to their mathematical development. In this paper, we propose two images of change: chunky and smooth. Chunky images of change are based in imagining change as occurring countable and completed amounts, whereas smooth images of change are based in imagining a continually changing experience. Using empirical examples of student work, we illustrate these images of change and their implications.

Also

APA

Castillo-Garsow, C., Johnson, H. L., & Moore, K. C. (2013). Chunky and smooth images of change. For the Learning of Mathematics, 33(3), 31–37.

BibTeX

@article{Castillo-Garsow2013,
author = {Castillo-Garsow, Carlos and Johnson, Heather Lynn and Moore, Kevin C.},
journal = {For the Learning of Mathematics},
number = {3},
pages = {31--37},
title = {{Chunky and smooth images of change}},
volume = {33},
year = {2013}
}