Table-Driven Trigger Management (TDTM) is a tool to manage the code in Salesforce and control how Apex behaves5. TDTM allows the consultant to easily rearrange the order of things via a table in the Salesforce interface (hence, the "Table-Driven" in TDTM)6. With TDTM, the consultant can tell the Apex trigger: do X first, then Y, then Z, without writing any code6. TDTM is part of the Education Data Architecture (EDA) and can be accessed from EDA Settings5. Reference:
5: Table-Driven Trigger Management (TDTM) Overview - Salesforce7
6: Table-Driven Trigger Management and Why it Matters8