Additionally he has taught many modules and short courses in social theory, research design, questionnaire design, scaling, sampling, scientific method and history of science.

Williams has an extensive publishing record in philosophy of social research, including: Introduction to Philosophy of Social Research (with Tim May, Routledge, 1996), Knowing the Social World (with Tim May, OUP, 1998), Science and Social Science (Routledge, 2000), Making Sense of Social Research (SAGE, 2003), Philosophical Foundations of Social Research (SAGE, 2006), Teaching Quantitative Methods (with Geoff Payne, SAGE, 2011) Objectivity and Subjectivity in Social Research (with Gayle Letherby and John Scott, SAGE, 2012) and The SAGE Handbook of Innovations in Social Research (with W Paul Voght, SAGE, 2014).