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A student in your class says they can prove to you $25$ divided by $5$ equals $14$ using the three methods in the video below. Discuss the specific errors in reasoning that were made. Explain how you would correct the student's thinking. Be specific and give a clear example that correctly demonstrates the proper solution. You should first use a physical model of some sort for each method: draw a diagram, use objects, etc. Then, you may follow up by using a standard arithmetic algorithm. Do not just give an algorithm. your job is to CONVINCE the student how to appropriately do the calculation and$/$or check his or her work.

Comment on the solutions provided by your peers. Why is it necessary to change your point of view sometimes when teaching arithmetic operations to children?