Skip To Main Content

Utility Navs Container

Breadcrumb

Mathematical Proficiency

Strands of Proficiency
A detailed illustration of a braided rope symbolizing proficiency. At the top, six individual strands are labeled: %22Conceptual Understanding,%22 %22Productive Disposition,%22 %22Procedural Fluency,%22 %22Adaptive Reasoning,%22 %22Strategic Competence,%22 and %22Adaptive Reasoning%22 (emphasizing its fundamental role). The strands gradually intertwine into a single, strong braid as they descend. Each strand is clearly labeled at the top where they are separate, but the labels disappear as the strands intertwine, symbolizing the integration of these components into a cohesive whole. At the base of the rope, the fully braided section represents robust proficiency.

Mathematical proficiency is essential for learning mathematics successfully. It is a comprehensive term that includes multiple interconnected components that work together to build a strong foundation in mathematics.

The National Council of Teachers of Mathematics (NCTM) defines mathematical proficiency as being five interwoven and interdependent strands.  These strands provide a framework for understanding the multifaceted nature of mathematical learning and performance:

  1. Conceptual Understanding: Comprehending mathematical concepts, operations, and relations.
  2. Procedural Fluency: Skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.
  3. Strategic Competence: Ability to formulate, represent, and solve mathematical problems.
  4. Adaptive Reasoning: Capacity for logical thought, reflection, explanation, and justification.
  5. Productive Disposition: Habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one's own efficacy.

These strands emphasize that mathematical proficiency is not just about performing calculations correctly but also involves understanding concepts, solving problems, reasoning logically, and maintaining a positive attitude toward mathematics.

By fostering these components of mathematical proficiency, educators can help students develop a well-rounded and deep understanding of mathematics, preparing them for future academic and real-world challenges. This approach aligns with our mission to build upon our current strengths while continually enhancing the mathematics program to empower every student to excel.

For a deeper understanding of these components and their significance in mathematical education, you can refer to the following resources: