Great work, group!
Karen (Mikira) - Good idea to add more context. You identified the main problem--the redundancy caused by too many adverbs ("happily" is implied in the man's smiling, and "smoothly" is already contained in the verb glided; both can be cut). You might just trim a couple of words from your last sentence: "The boy watched Mr. Lucas demonstrate how it worked, grinning as it glided across the room and land just short of his teacher’s feet."
Judith (Winter Wren) - Nice work--you really tightened the passage down to the bare essentials, getting rid of the redundancy and passive voice. We lost the color of the sky, but I agree with you that it's probably not vital and could be placed in another spot if it's relevant to the story.
Jessica (JL Platt) - Great job of identifying and eliminating the wordiness/reporting in this passage. You might need to keep the last sentence to show context (that the character cares what the woman thinks of him and they shared some kind of relationship). But it could be tightened to eliminate the reporting: "He couldn't stand to see pity in her eyes."
Umit - Good work. Yes, the main problems were wordiness, reporting, and those two transition words that were too formal for this register. I also agree with both of your examples of redundancy. You've tightened it up, and I like how you substituted a question for the reporting in the first sentence to engage the reader more.