This article promotes the use of mathematically appropriate, engaging and challenging tasks to support learning that is worthwhile. The authors share insights from a three-lesson design experiment and the three tasks along with the results from their implementation are explored.

This article presents 10 practical teaching procedures to encourage students to develop formal reasoning skills. A twelfth-grade English course is used as an example. Procedures include pretesting, sequencing instruction, providing students with concrete experiences, discussing reasoning patterns and forms of argumentation, assigning argumentative…