Using real world applications is changing the problem (what are you trying to solve).

My issue is teaching how you solve the problem.

As an example the indian method to teach multiplication is to draw lines equal to the first number, then perpendicular lines equal to the second and then count the points they bisect (e.g. draw 3 horizontal and 3 vertical lines and they cross 9 times).

Lastly I coach people in Agile (its a way of delivering stuff). An Agile team is brought together because a Product Owner has a problem and a vision on how to solve it.

The biggest factor in motivating a team and getting high performance is the product owners passion for their vision. You can have the most interesting problem in the world, if the product owner doesn't care neither does the team.

I suspect the same is true of teaching