Standard 2: Reason abstractly and quantitatively
{"Image DocumentName": "Standard 2: Reason abstractly and quantitatively", "Image ImageDescription": "Standard 2: Reason abstractly and quantitatively. What do mathematically proficient students do? Make sense of quantities and relationships. Able to decontextualize. Abstract a given situation. Represent it symbolically. Manipulate the representing symbols. Able to contextualize. Pause during manipulation process. Probe the referents for symbols involved. Here\u2019s what Standard 2 looks like. Do you agree with this list of student behaviors? What will students need in order to do this? What will teachers need to do this? (Allow time for discussion) (ADDITIONAL TRAINER NOTES ON STANDARD 2. THESE ARE TO BE USED AS A TRAINER RESOURCE.) Mathematically proficient students: Make sense of quantities and their relationships in problem situations. Bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize \u2013 abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents \u2013 and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of: Creating a coherent representation of the problem at hand. Considering the units involved. Attending to the meaning of quantities, not just how to compute them. Knowing and flexibly using different properties of operations and objects. (CLICK)", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}