Example 1: Co-Craft Questions

Present Situation: Teachers presents a situation - a context or a stem for a problem, with or without values included. (Example: A bird is flying at 30 mph)
Students Write: Students write down possible mathematical questions that might be asked about the situation. These should be questions that they think are answerable by doing math. They can also be questions about the situation, information that might be missing, and even about assumptions that they think are important. (1-2 minutes).
Pairs Compares: In pairs, students compare their questions. (1-2 minutes).
Students Share: Students are invited to share their questions, with some brief discussion. (2-3 minutes).
Reveal Questions: The actual questions students are expected to work on are revealed, and students are set to work.

Example 2: Co-Craft Problems

Pairs Create New Problems: Students get into pairs and co-create problems similar to a given task.
Students Solve Their Own Problems: Students solve their own problems before trading them with other pairs
Exchange Problems: Students solve other pairs' problems, and check solutions and methods with the pair who created each problem.
Topic Support: Teacher can provide possible topics of interest to students, or brainstorm as a whole class for 2 minutes before pairing.

Present Representation: Teacher presents a mathematical representation (graph, equestion, function, table, etc.) with no labels.
Students Write: Students write stories or situations that correspond to the mathematical representation.
Pairs Compare: Students explain how events in their partner's story or aspects of their partner's situation correspond to specific parts of the mathematical representation. They can ask clarifying questions or for more detail to do this.
Revise Stories: Students revise their stories adding details and clarification where needed.

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