Mathematical Explanation Observational Checklist
1. Makes clear at the outset what is being explained, and why one starts there, and connects the explanation to the idea being explained.
2. Uses representation(s) accurately (algebraic, geometric, pictorial, etc.).
3. Defines terms as needed, and uses available definitions as needed.
4. Is calibrated to the context (considers the learner's level).
5. Links the language and diagrams clearly to the steps of the argument. Reviewer (this is you):
6. Strives to be as simple and clear as possible. Reviewee (this is them):
7. Deals with questions
8. Communicates with learners.
Reference Number Facet of explanation Observed Instance Ways in which the student did well How the student could improve  
    suitable unsuitable      
1 Identifies what is being expalined at the start          
2 Makes accurate representations          
3 Defines necessary terms          
4 Calibrated to learner's level          
5 Links steps to language and diagrams          
6 Appropriate Depth          
7 Deals with questions          
8 Communicates