1P plus 4R equals 5D: An Equation for Deepening Mathematical Understanding
Alan Hackbarth, Margaret Wilsman
September 2008, Volume 14, Issue 2, Page 122
Illustrates mathematical discussions that can occur with students in the classroom. Example discussions focus on the relationships of events within a problem, connects the ways chosen to represent those relationships, and shows their equivalence. A deep understanding does not necessarily result from being able to represent a mathematical situation in multiple ways. Even when representations are similar or contain errors, when a group of learners contribute to the pool of possibilities, they enter into discussions that may lead to deeper understanding.
Math Coordinator / Coach