Distributed runtime verification (DRV) addresses the problem of checking the correctness of distributed systems during execution, coping with partial knowledge, dynamic topologies, and the absence of global time. These challenges are particularly prominent in proximity-based networks, such as those arising in IoT and Far Edge computing scenarios, where large numbers of devices interact through local communication. This tutorial presents an approach to DRV based on Aggregate Programming (AP), a paradigm for designing distributed collective systems via high-level abstractions over computational fields. We show how temporal and spatial properties (expressed in past-CTL and SLCS, respectively) can be systematically compiled into aggregate monitors grounded in the eXchange Calculus and executed using the FCPP C++ framework and simulator for AP. The tutorial combines conceptual foundations with practical guidance: participants learn how to specify spatio-temporal properties, generate corresponding monitors, and execute them in a 3D simulation environment. Examples are drawn from ongoing industrial collaborations and research projects, which we use to illustrate realistic monitoring scenarios and motivate open challenges for AP-based DRV.