Numerous examples of specifications grading systems have been published in the primary teaching and education literature of many individual disciplines. A recent scoping review by highlights alternative grading systems in STEM courses . examined the body of literature on contract grading and specifications grading in computer science courses . However, reviews of existing literature focused solely on describing implementations of specifications grading across all disciplines do not exist. Here we provide a review of publications describing the design and implementation of specifications grading systems in all disciplines across higher education. Our aims in this review are 1) to provide a resource for instructors designing their own specifications grading systems and 2) to build a roadmap for education researchers to facilitate collaboration with practitioners to study outcomes and impacts of specifications grading in higher education based on emergent themes in the current literature.