Last Week's Definition: The process of developing effective relationships to coordinate the strengths of individuals in a group to accomplish a significant community goal, while employing appropriate emotional and strategic approaches in varying situations in order to work towards the overall goal in an ever-changing global society.
This Week's Definition: The process of taking initiative to develop
effective relationships to coordinate the strengths of individuals in a group to accomplish a significant community goal, while employing appropriate emotional and strategic approaches in varying situations in order to work towards the overall goal in an ever-changing global society.
Analysis of the differences in the definitions: The only change I made in this week's definition compared to last week's was the phrase "taking initiative" because I've realized that is a major component that has been missing from my definition. "Even more important, neither of them leaves himself out of the equation in his assessment of his team. In both cases, their willingness to 'go first'... made a difference" (Kegan, Lahey, 2009). The act of stepping up and making the first move is what separates leaders from followers. Those who lead are the ones who act first, they set the example (whether it be a good or bad one) while those who follow wait for someone else to move first and show them the way.
Reference:
Kegan, R., & Lahey, L. L. (2009). "We Never Had a Language for It" Immunity to Change: How to overcome it and unlock the potential in yourself and your organization (pp. 61 - 84). Boston: Harvard Business Press.

Nice work, generally. Try not to use disembodied quotations like you do with the reference to Kegan and Lahey (2009) in your analysis. Introduce it by saying something like, "As Kegan and Lahey (2009) indicate, a leader should never, '...[leave] himself out of the equation...'" This will improve your readability and help contextualize the quotation for your reader.
Grade: 9 out of 10
Clarity of the new definition: 2 points out of 2 possible
Thoughtfulness of the analysis: 6 points out of 6 possible
Grammar, spelling, and APA style: 1 point out of 2 possible