Dueling Speakers
You are attending a teachers’ conference focusing specifically on division of fractions.
The first speaker says:
Here is an example for dividing: I have ft of lumber and I cut it into foot-sized pieces, how many pieces can I make? (In essence: How many make ?)
The second speaker says:
Here is an example for dividing: I have ft of lumber and need four pieces. How long will each piece be?
Which speaker is right?
Identify each of their approaches to division and draw a corresponding
visual model.