An Example of BYOM Activity

An illustrative example of a typical BYOM activity is the following:

• The teacher presents the students with a problem: How many ways are there to arrange 5 different books on a shelf?
• The students try to solve the problem by themselves, using their own methods and strategies. They may use trial and error, drawing, counting, or other techniques.
• The teacher guides the students to share their solutions and compare them with each other. The teacher helps the students to notice patterns, similarities, and differences in their solutions.
• The teacher introduces the concept of factorial notation, which is a way of writing the product of consecutive natural numbers. For example,

  5! = 5 x 4 x 3 x 2 x 1 = 120

  

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  The teacher explains how this notation can be used to find the number of ways to arrange n different objects in order.

• The teacher asks the students to apply the factorial notation to solve the original problem and other similar problems. For example, how many ways are there to arrange 6 different books on a shelf? How many ways are there to arrange 4 different books on a shelf?
• The teacher asks the students to reflect on what they learned and how they learned it. The teacher also asks the students to think of other situations where factorial notation can be useful.