id: 06618987
dt: j
an: 2016e.00816
au: Ellis, Amy B.; Ozgur, Zekiye; Kulow, Torrey; Dogan, Muhammed F.; Amidon,
Joel
ti: An exponential growth learning trajectory: students’ emerging
understanding of exponential growth through covariation.
so: Math. Think. Learn. 18, No. 3, 151-181 (2016).
py: 2016
pu: Taylor \& Francis (Routledge), Philadelphia, PA
la: EN
cc: I20 C30
ut: learning trajectories; exponential growth
ci:
li: doi:10.1080/10986065.2016.1183090
ab: Summary: This article presents an Exponential Growth Learning Trajectory
(EGLT), a trajectory identifying and characterizing middle grade
students’ initial and developing understanding of exponential growth
as a result of an instructional emphasis on covariation. The EGLT
explicates students’ thinking and learning over time in relation to a
set of tasks and activities developed to engender a view of exponential
growth as a relation between two continuously covarying quantities.
Developed out of two teaching experiments with early adolescents, the
EGLT identifies three major stages of students’ conceptual
development: prefunctional reasoning, the covariation view, and the
correspondence view. The learning trajectory is presented along with
three individual students’ progressions through the trajectory as a
way to illustrate the variation present in how the participants made
sense of ideas about exponential growth.
rv: