Motivated by the problem of tracking a direction in a decentralized way, we consider the general problem of cooperative learning in multiagent systems with time-varying connectivity and intermittent measurements. We propose a distributed learning protocol capable of learning an unknown vector mu from noisy measurements made independently by autonomous nodes. Our protocol is completely distributed and able to cope with the time-varying, unpredictable, and noisy nature of interagent communication, and intermittent noisy measurements of mu. Our main result bounds the learning speed of our protocol in terms of the size and combinatorial features of the (time-varying) networks connecting the nodes.