Task Examples

Any contextualized problem that needs to be interpreted, equated, and then solved, can be modeled as a task, which makes use of generic subtasks such as:

stating relations between problem variables;
solving equations, and systems of equations;
simplifying algebraic expressions;
symbolic computing (e.g., computing derivatives, anti-derivatives, and limits);
performing short deductions and proofs (see an example here) ;
filling-in tables with function values. This is a very general task that can, for instance, be specialized to filling-in a table with the first and second derivatives' signs of some function, or else filling-in a table with the symbolic description of monotonicity and concavities of a given function in a given interval partition;
draw the graph of a function. The student uses a graphical interface to sketch the graph of a one variable function;
make some geometric graphical construction (see an example here).

Tasks listed above are constructed by experts to be used by teachers. Combining them, the teacher can build complex multiple step problems, which automatically benefit from their components rich feedback.

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