Math Fluency is a way to help students develop numeracy, which is the ability to use mathematical relationships to reason with numbers and numerical concepts. According to Pam Harris in Building Powerful Numeracy for Middle and High School Stuedents, numeracy has seven components: Flexibility, Efficiency, Accuracy, Creativity, Algorithms, Speed, and Mental Math.
Students develop flexibility to look at numbers and consider more than one way to solve the problem based on the number relationships.
Students gain the ability to understand which problems lend themselves to certain strategies, based on the numbers and operations involved, which helps build efficiency.
Accurate answers are produced with more confidence and regularity.
Being creative with numbers and looking for clever and sophisticated strategies is a central goal as students learn more about the relationships between numbers and operations.
Students will understand how place value is related to the standard algorithm.
The ability to reason using mental math is deepened.
Teachers are able to recognize when students are using strategies that are not efficient or when they have simply memorized a procedure.
Mathematical discourse opportunities abound, encouraging students to
Describe their own strategies
Compare strategies with each other
Teachers begin by modeling student thinking, which then becomes a tool for student thinking.
A range of strategies is presented, increasing understanding of big ideas in mathematics, along with a variety of ways to model the relationships.
Daily Math Fluency develops automaticity of basic facts which relies on thinking about the relationships among the facts.