MERI - University of Haifa understanding tasks

Posing problems using parameter spaces; an approach to assessing skills and understanding I prefer to think in terms of skills as being able to answer problems using only the tools (actions) of a single representation - I think of performing such actions as "executing procedures". I prefer to think of understanding as being able to map the elements of the mathematical object and the actions one takes on it across at least two different complementary representations - specifically this means to interpret how the tools of one representation are related to the tools of the other representations and how each aspect of the object in one representation is represented in the others. These materials are devoted to a study of posing problems in which a parameter space provides a complementary representation to more traditional representations of mathematical objects and actions. This collection of applets is drawn from the mathMINDhabits [sites.google.com/site/mathmindhabits] archive. The archive is designed for teachers of mathematics who want to deepen their understanding of the mathematics they teach and that their students are expected to learn.
MERI - University of Haifa understanding tasks