I find theCartesian Product very interesting. For the problem how many different combinations you could get with 4 salads, 5 entrees and 6 desserts. I began writing all the different combinations out and was about ready to rip out my hair, luckily I consulted resources and read all about the Cartesian Product and it was simplified for me immediately.
It becomes as simple as multiplying all your outcomes together. Since math can seem like a waste of time for many students, it is so important to apply these concepts to their everyday lives. We can achieve this by providing times when this method may be used. They use the example of making colorful invitations and deciding which color combinations you would like to use. They break it down into steps for you: What does the situation involve, What has to be determined, What are the key data and conditions? By guiding students to think critically about problems, it forces them to think, and though it may be frustrating, in the end they will benefit from it.
I feel that for every concept being taught with regards to math it is crucial to provide examples of how this will benefit them in the real world. Also, try to make it apply to something tangible in their lives. The times that teachers did this for me made a huge difference and it is those things that I remember to this day. The days are long gone of worksheet after worksheet. We have to think of more creative ways to teach material so that not only our students comprehend it but also retain it.