Neutron and nuclear beta decay provide our most precise characterization of the charged weak currents for quarks. These measurements establish the definitive values for the Standard Model coupling constants between up and down quarks and provide sensitive probes for Beyond Standard Model (BSM) physics as well. Because the neutron is a "mixed decay", with both Fermi (vector) and Gamow-Teller (axial-vector) amplitudes, measurement of two different "observables" are required to independently determine the coupling constants which govern the decay. One of these observables is the neutron decay rate, or mean lifetime, and the other is an angular correlation. This seminar will focus on the angular correlation measurements, presenting the status of the global data set and reviewing some of the aspects of the experimental approaches currently underway. In particular we will discuss some of the technical challenges and progress for the Nab experiment, where detailed characterization of the detector systems -- highly segmented, 1 mm thick PIN diodes -- is essential to achieve the target uncertainties.