Algebra
Each of the ideas here has, of course, an algebraic version, and, depending on the sophistication of the student, the functions involved (at least the continuous ones), can be represented by a formula. Some of our earlier work involved students who already knew some algebra, so they were in a position of building understandings that they could, after the fact, express algebraically. Our current work involves studying how students who do not know algebra, can learn the algebra as a modeling tool by trying to symbolically represent motion and other change situations.


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