first, I will excerpt the definition of each of the process groups from the PMBOK guide::
Executing Process Group The Executing Process Group consists of those processes performed to complete the work defined in the project management plan to satisfy the project specifications. This Process Group involves coordinating people and resources, managing stakeholder expectations, as well as integrating and performing the activities of the project in accordance with the project management plan.
Monitoring and Controlling Process Group The Monitoring and Controlling Process Group consists of those processes required to track, review, and orchestrate the progress and performance of the project; identify any areas in which changes to the plan are required; and initiate the corresponding changes.
Based on the above definitions and given the nature and activities in managing project team (performance appraisal and conflict management, etc.), I think this process falls more under the Executing process group than the monitoring and controlling process group as coordinating people is more of execution and day to day activity rather than just monitoring. remember PMs stay 90% of their time communicating with project stakeholders which includes the team members.
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This interview with Simona Fallavollita (LinkedIn Profile) was recorded at the magnificient Project Management Institute (PMI)® Global Conference 2017 in Chicago, Illinois. We discuss the how, what, why and when of the changes that are coming to the PMP exam.