There are many methodologies for each multiplication and division problem. The method chosen may depend on the assessment design. For example, a timed multiplication test may heavily rely on distributive properties of multiplication, whereas an oral assessment may heavily rely on the base ten blocks. Nevertheless, students should have the freedom to implement unique algorithms. In this segment, Brooke displays an understanding of multiplication and division by applying a unique algorithm.

Reflection: Choose 1 of the following and reflect on your reaction to Brooke and one of the following. Assume a problem-solving environment in your discussion.

• Create routines and procedures that allow for students to develop algorithms.
• Discuss the type of questions required for students to create algorithms.
• Discuss the necessary wait time for students to create algorithms.
• Discuss the various environmental factors that are required for students to create algorithms.
• Have the students think of appropriate remedial work for students who cannot understand the algorithm for division