Participation is essential to learning for the particular reason of you can learn on how they do it and how they came up with that type of conclusions. One example is during recitations there are different ways on how they can solve a certain problem and then when there are more participants the more learnings and more ways can be formulated.
During Participations it is never wrong to make mistakes and no I am not telling you to make mistakes all the time. It is alright too make mistakes, nobody is perfect the more you commit mistakes the more you are growing and learning.
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