Different Thinking

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Throughout my time working with students and peers in mathematics I have noticed that many students tend to somehow think differently when attempting a problem; they may work through the problem differently or try different measures to solve the problem. Being a future teacher, I have been pondering how to teach with this in mind. Can we as teachers instruct so that all students may be able to reason through the mathematics differently?

Useless Information

Have you ever went through a day, whether through school or through work, and said to yourself, "Am I ever going to use this information?" I have been there many times! Sometimes it comes as a whole class which seems pointless, and sometimes it is just one section from a class. Nonetheless, most people find somethings that we learn, or even use, are useless.

Is There One Way To Teach?

http://www.theregister.co.uk/2015/01/19/alabama_league_table/

It seems that today in education many people have different ideas on how teachers should instruct their students. In fact, many of the non-educators who are involved with developing educational curriculum expect teachers to simply follow a specific guideline to teach. Is this the best way for great instruction? Should there be only one way to instruct in which every single teacher should follow?