|3||Mathematics is correct, both conceptually and in the details; Mathematics presented makes sense; Defines unfamiliar terminology, notation; Clearly states assumptions and/or necessary conditions for formulas and theorems.||Points out the difficult parts of the material; Probes beyond the surface material; Focus is on big concepts more than on rote skills; Discussion sets this portion of the material in context.||Actively involves audience; There is evidence of effort in preparation; Speaks clearly and audibly; Clearly writes important points on the board/overhead; Pace is appropriate.|
|2||Occasional details incorrect; Some notation not explained; Unclear explanation(s).||Concepts not presented clearly; Insufficient attention given to deeper aspects of content.||Low interactivity or little evidence of preparation; Erases board too quickly.|
|1||Frequent conceptual errors; Some errors left uncorrected; Snarls in details; Explanations incoherent.||Mainly rote computations; Basic definitions restated; Material presented in isolation.||No interaction; No evidence of preparation; Incorrect or insufficient use of board/overhead; Pacing way off.|
1 The tenth point is awarded for creativity/poise.
It can take the form of humor or an unusual idea or solution or a beautiful