I think the availability of solutions to the homework online does give people advantages when looking at the homework part of the grade, but the fact of the matter is when those people take exams they are not as prepared as people who actually take the time to do the homework instead of copying it.
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Usually I would agree, however, personally I have gained a lot from having solutions posted online. Though I use it as a tool to help me when I am stuck and I have no direction on how to solve a problem. I use it as a self tutoring system, which helps me learn the processes of the specific math problems and helps me overall with my understanding. I know that you do not want students merely using the 'cookie cutter' method, but I think that the majority of students would benefit from such a resource.
