And the Equation is........

During class today I was reminded once again how people look differently at problems and come to solve them in different ways. Today, as I worked with my table groups and then watched others present to the class, I learned that we all approach problems and "see" the math very differently. I immediately see patterns and am challenged with finding the correct equation, my partner was able to figure out an equation instantly. So I was able to learn from her and the others and soon realized that there are many ways to solve a math problem. This is something that I will have to keep in mind when teaching my own class; that just because I have a way of solving a problem, I need to keep in mind that my students may see it differently. This could become an implication within my class if I let it, but I am certain that I will be open to the realization that "my way" is not the only way. My question would be if I allow a student to present to the class how they solved it, will that in turn confuse other students? I don't think it would as long as I explain that this is just one way to go about it.... but you never know....