1. ISTQB® Certified Tester, Usability Testing Syllabus (Version 2018):
Section 3.3.2, Roles in Usability Reviews and Testing: This section defines the moderator's role: "The moderator is the person who leads a usability test session... The moderator gives the test participant the tasks and may ask questions." This act of "giving" the tasks involves defining their scope and goal for the participant. The syllabus explicitly assigns other tasks to other roles: "The usability test analyst is responsible for developing the usability test cases (i.e., the tasks)...", "The observer’s main responsibility is to... log their behavior...", and "The test manager is responsible for... creating the usability test plan...".
2. Rubin, J., & Chisnell, D. (2008). Handbook of usability testing: How to plan, design, and conduct effective tests (2nd ed.). John Wiley & Sons.
Chapter 14, Facilitating a Test Session: This chapter details the facilitator's (moderator's) responsibilities during the session, which include "Briefing the participant on the procedure and their role" and "Reading the scenarios to the participant." This act of briefing and reading scenarios is the practical application of defining the tasks for the participant.
3. Dumas, J. S., & Redish, J. C. (1999). A practical guide to usability testing. Intellect books.
Chapter 11, Conducting the Usability Test: The authors describe the test administrator's (moderator's) role, stating, "The administrator presents each task to the user..." (p. 299). This presentation is a form of defining the task within the context of the test session, distinguishing it from the planning and logging activities.