Students' Mathematical Noticing

Author:
Joanne LobatoSan Diego State University

Search for other papers by Joanne Lobato in
Current site
Google Scholar
PubMed
Close
,
Charles HohenseeUniversity of Delaware

Search for other papers by Charles Hohensee in
Current site
Google Scholar
PubMed
Close
, and
Bohdan RhodehamelSan Diego State University

Search for other papers by Bohdan Rhodehamel in
Current site
Google Scholar
PubMed
Close

Even in simple mathematical situations, there is an array of different mathematical features that students can attend to or notice. What students notice mathematically has consequences for their subsequent reasoning. By adapting work from both cognitive science and applied linguistics anthropology, we present a focusing framework, which treats noticing as a complex phenomenon that is distributed across individual cognition, social interactions, material resources, and normed practices. Specifically, this research demonstrates that different centers of focus emerged in two middle grades mathematics classes addressing the same content goals, which, in turn, were related conceptually to differences in student reasoning on subsequent interview tasks. Furthermore, differences in the discourse practices, features of the mathematical tasks, and the nature of the mathematical activity in the two classrooms were related to the different mathematical features that students appeared to notice.

Contributor Notes

Joanne Lobato, Department of Mathematics and Statistics and the Center for Research in Mathematics and Science Education, San Diego State University, 6475 Alvarado Road, Suite 206, San Diego, CA 92120; jlobato@mail.sdsu.edu

Charles Hohensee, School of Education, University of Delaware, 113 Willard Hall Education Building, Newark, DE 19716; hohensee@udel.edu

Bohdan Rhodehamel, Department of Mathematics and Statistics and the Center for Research in Mathematics and Science Education, San Diego State University, 6475 Alvarado Road, Suite 206, San Diego, CA 92120; brhodehamel@projects.sdsu.edu

(Corresponding author is Lobato jlobato@mail.sdsu.edu)
(Corresponding author is Hohensee hohensee@udel.edu)
(Corresponding author is Rhodehamel brhodehamel@projects.sdsu.edu)
  • Collapse
  • Expand
Journal for Research in Mathematics Education
All Time Past Year Past 30 Days
Abstract Views 460 242 20
Full Text Views 88 40 2
PDF Downloads 71 38 4
EPUB Downloads 0 0 0