This paper surveys recent progress in our understanding of heat generation and transport in nanoscale transistors. Monte Carlo simulations show that under quasi-ballistic transport conditions, most Joule heat is generated in the device drain. Measurements and modeling find the device thermal resistance scales inversely with device size, reaching well over 100 K/mW for sub-100 nm transistors. This trend is partly also driven by decreased thermal conductivity of ultra-thin films, as well as the increased role of boundary thermal resistance. Somewhat surprisingly, the analysis shows that well-behaved GOI transistors ought to outperform SOI from a thermal viewpoint as well, highlighting the importance of electrothermal co-design at device length scales approaching 10 nm.