1P plus 4R equals 5D: An Equation for Deepening Mathematical Understanding

  • 1P plus 4R equals 5D: An Equation for Deepening Mathematical Understanding

    Alan Hackbarth, Margaret Wilsman
    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.