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"Steve Leinwand, Sue O'Connell, Pamela Weber Harris and other math leaders examine the Standards for Mathematical Practice. 'A deeper understanding of these eight practices enables us to envision what it means for our students to be mathematically proficient, and to select teaching practices that shift our teaching from a focus on content to a focus on application and understanding. The Standards for Mathematical Practice are actually the heart and soul of the Common Core State Standards. Sue O'Connell and John SanGiovanni from Putting the Practices Into Action"

"From our beginning in 2000, TextProject has supported teachers with research and practical advice about how to provide readers the right kinds of texts, with special focus on text complexity. Now, the Common Core State Standards (CCSS) represents the first time that a standards document has paid special attention to text complexity, as Standard 10 is devoted specifically to increasing students' capacity with complex text from grades 2 through 12. To support reading skills needed for college and career success as of high school graduation, the CCSS proposes a staircase of text complexity."

A focus on NGSS

"Until the release of the Common Core State Standards, many educators didn't realize that writing skills need to develop incrementally, with the work that students do at one grade level standing on the shoulders of prior learning. It would be hard to achieve this high level of craft and knowledge if students weren't moving steadily along a spiralling curriculum, practicing and extending skills in each type of writing each year. After all, in math, teachers agree on content and ensure that students move up the grade levels with the essential skills that teachers agreed upon. That same focus on writing as content, as a set of skills, will move grade levels of students forward, rather than individuals who happened to get this teacher or that. Writing will needto be given its due, starting in kindergarten and continuing throughout the grades."-LUCY CALKINS

"A professor at Stanford's Graduate School of Education has launched a new free math curriculum designed to help engage students more deeply in math. Dubbed the "Week of Inspirational Math," the program is aimed at students in grades 5-9 and includes five lessons, one for each day in a week, featuring math problems designed to be fun and engaging along with videos with positive messages about math. Teachers using the curriculum will also be able to join a network offering additional support and resources throughout the school year. "We want to give kids inspirational math tasks that help them see math as a lovely subject of beautiful patterns and deep inquiry," said Jo Boaler, the program's designer, in a prepared statement. "And we want teachers to see what happens when kids are really engaged in math." Boaler said she hopes teachers will use the program at the beginning of the school year to give students a positive experience right off the bat and set the tone for the rest of the year, but the program can be used at any point. "The lessons address five key areas of math: geometry, algebra, numbers, patterns and connections," according to a news release. "The problems are so-called 'low floor, high ceiling' tasks that are accessible to all students but can be solved in different ways to challenge those just being introduced to the topics as well as high achievers. They also emphasize different messages: Mistakes help you grow, for example, and it's not how fast you complete a task that's important but how deeply you understand it." The Common Core-aligned program is the latest offering from YouCubed at Stanford, a program Boaler helped launch that aims to make new research into math learning accessible to teachers and parents. "We're researching and using new brain science to find out how best people learn," said Boaler, in a prepared statement. "Then, we're giving teachers things they can actually do in their classroom based on this research." The program

Grammar instruction may have waned in some classrooms starting in the early 2000s, largely because the high-stakes tests required by the No Child Left Behind law didn't assess grammar specifically. But with most states now using the Common Core State Standards, there's some thought that grammar is making a comeback-along with perennial debates about how best to teach it. "We are asking kids to dive into complex texts and understand them, so we need to teach them how to read complex sentences," said Chris Hayes, a veteran elementary teacher in Washoe County, Nev. And that requires deep knowledge of grammar.