![The Mathematics Enthusiast](/assets/md5images/7e2d9a637c3682bb36cd0f857d0d5b10.gif)
Volume
7
Issue
2-3
Abstract
This paper reports on the strategies chosen by a group of sixth-grade students in an urban informal learning program as they worked to solve an open-ended, nonroutine task. In particular, the paper focuses on the ability of these students to rise above their previous, procedure-based misconceptions and arrive at a mathematically reasonable solution. Aspects of the problem task, the problem-solving environment, and, importantly, of the nature of the teacher’s interventions are analyzed to determine the conditions that encouraged students to approach mathematics as a logical, meaningful, sense-making activity.
First Page
307
Last Page
320
Recommended Citation
Mueller, Mary; Yankelewitz, Dina; and Maher, Carolyn
(2010)
"Rules Without Reason: Allowing Students to Rethink Previous Conceptions,"
The Mathematics Enthusiast: Vol. 7
:
No.
2
, Article 9.
DOI: https://doi.org/10.54870/1551-3440.1190
Available at:
https://scholarworks.umt.edu/tme/vol7/iss2/9
Digital Object Identifier (DOI)
10.54870/1551-3440.1190