Watch Telescoping Sums enacted with middle school students.
Watch Elisabeth enact Contemplate then Calculate with her high school students at the Academy for Innovative Technology. You can watch a longer version of this video here.
Resources for this task, called Windmill, are available on the Fostering Math Practices website (free registration required).
The instructional routine Contemplate then Calculate was developed by Amy Lucenta and Grace Kelemanik of Fostering Math Practices; with their support we have developed resources so that teachers can use this routine in their classrooms.
Contemplate then Calculate has these five main parts:
- Develop a Shortcut/Strategy
- Share and Study Shortcuts/Strategies