This list from the JMM 2013 Minicourse Teaching and Assessing Mathematical Communication characterizes effective writing and presentations that employ mathematical ideas but are not strictly about mathematics.
- Logic of argument is correct and valid
- Concrete examples are employed that clearly illustrate important points
- Details are on-point and relevant to the topic
- Creative blending of ideas and forms connects ideas across disciplines
- Mathematical ideas employed are relevant to the argument
- The argument is clearly and correctly outlined and expressed; the thesis is clear
- The paper/presentation is structured in a sensible way, and all sections are on-point and clearly related to the argument
- Technical vocabulary employed is correct and audience-appropriate
- Grammar, spelling, etc., are correct and do not detract from argument
