The Profile of a Mathematician includes a child's Number Sense & Fluency, Content Growth and the child's behaviors related to the Mathematical Practices. All three components of the Profile of a Mathematician are important when developing a student's mathematical conceptual and procedural understanding.
Conceptual understanding- Students understand mathematical ideas and the why behind the mathematics; as well as the ability to transfer knowledge into new situations and apply it to new contexts.
Procedural understanding- Students rely on the memorization of steps and formulas to answer questions. Students can rarely make deep connections to other math concepts if only using procedures without conceptual understanding. Our goal in DCS is for students to build procedural fluency from their conceptual understanding.