Clip 43/43: Standard 6: Attend to Precision Graphing Quadratics Part 8

Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful about specifying units of measure, and labeling axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions.

Carlos Cabana works with his high school English language learning students on algebraic reasoning and multiple representations around parabolas. In the first clip, Cabana analyzes a group's work in terms of logical flow and carefulness of organization, trying to make a guess about what they really understand. In the second clip, a student group demonstrates that they have mastered the conceptual pieces and are engaged in moving to the next step; Cabana works with them, trying to assess the extent to which they see the conceptual whole.

See this video in the context of an entire lesson.

(Parts 8 & 9)