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The end result of the facilitated math experience is that the student will have had his mastery needs met because he was able to fix a miscalculation, he was able to share his fix and feel safe about making mistakes and learning from them. This student is more likely to embed the concept into his mathematical schema.
FACT: Students do not need marks to be motivated. Most of the best work I have ever seen came from students who were not worried about evaluative handcuffs.