Clip 41/43: Standard 6: Attend to Precision Graphing Quadratics Part 3
Overview
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 calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context...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 this clip, he pushes a group of students for a higher order of thinking that can advance the conversation. He observes, "I want the answer to model what mathematical thinking should look and sound like. It should have reasons, it should maybe point the way towards the generalization or trajectory or a strategy to be in the service of some mathematics that's a little bit bigger."