Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends
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; and knowing and flexibly using different properties of operations and objects.
They justify their conclusions, communicate them to others, and respond to the arguments of others.
In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptio
Mathematically proficient students at various grade levels are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve p
roblems. They are able to use technological tools to explore and deepen their understanding of concepts.
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.
For the first time, elementary-school students—who today mostly learn writing by constructing personal narratives, memoirs, and small works of fiction—will be required to write informative and persuasive essays. By high school, students will be expected to produce mature and thoughtful essays, not just in English class but in history and science classes as well.
I love this, because usually when a student cannot write, everyone (including fellow teachers) simply point fingers at the English teachers and blame us.
Where does the information for the Nation's Report Card come from?
he new writing standards are meant to reverse a pedagogical pendulum that has swung too far, favoring self-expression and emotion over lucid communication.