Some Common Core principles for mathematics are maintaining focus and coherence throughout a lesson, emphasizing connections between the content of lessons and practice, and raising expectations to improve mathematical fluency and conceptual understanding. The Common Core also strongly suggests that teachers provide students with examples of math use in real-world, practical applications.
The Common Core emphasis on focus supports a narrow lesson plan that students can integrate with other subjects and knowledge. Coherence allows for seamless transitions between focused material to provide a logical flow to new subjects.
The Common Core principles also encourage teachers to design in-class practice and outside homework in a way that connects the overall lesson plan with individual practice work. Such a connection allows for more integrated lesson plans and cohesion throughout the year, according to the Common Core principles.
Emphasizing higher levels of conceptual understanding ensures that rather than learning mathematical principles by rote, students understand the origin of such concepts and how they apply to the bigger mathematical and real-world picture. According to Common Core standards, fluency is shorthand for the speed and accuracy with which students can complete problems and explain mathematical concepts.
Real-world applications of mathematical concepts allow students to carry their knowledge with them to the workplace, the community and everyday life.