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"There are some basic properties of numbers any 3rd grader can tell you: Each number is represented by a single symbol, and followed by a single successor. Multiplication makes a number bigger; division makes it smaller. The problem is, none of those qualities-true of whole numbers-is true when it comes to fractions, one of the most chronically troublesome basic mathematics areas for children and adults alike. Now, as the Common Core State Standards push for earlier and deeper understanding of fractions, researchers and teachers are exploring ways to ensure students learn more than a sliver of the fractions pie."

"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"

"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

"Until this year, Ena Baxter, an English teacher at Hillcrest High School in Queens, would often have her 10th graders compose papers by summarizing a single piece of reading material... "