The standards call for learning mathematical content in the context of real-world situations, using mathematics to solve problems, and developing "habits of mind" that foster mastery of mathematics content as well as mathematical understanding. CCSS Math.
Estándares Estatales Comunes de Matemáticas
The CA CCSS for ELA/Literacy help build creativity and innovation, critical thinking and problem solving, collaboration, and communication. CCSS English.
The Next Generation Science Standards (NGSS) www.nextgenscience.org
How the Common Core Will Affect Mathematics and English Language Arts in Grades 3-12 Across America
-- the K–12 Center at ETS