The “Depth of Knowledge” scheme was developed by Dr. Norman Webb at the University of Wisconsin and is used in our primary math resource, “Bridges in Mathematics” as a basis for designing instruction and assessment.
In Lower Primary, we believe that students develop a deep understanding of math via exposure and practice with the FiveStrands of Mathematical Proficiency. These components work together, are interwoven and interdependent and form the overarching framework for our daily math practice.
Five Strands of Mathematical Proficiency
At HKIS, we develop students’ deep understanding of mathematics through meaningful exposure to and practice with the Five Strands of Mathematical Proficiency. These components work together and are interwoven and interdependent, forming the overarching framework for our daily mathematics instruction. The five strands describe what it truly means for a child to be successful in mathematics - ensuring that students not only learn mathematical skills, but also understand the ideas behind them, know how to approach and solve problems, explain their reasoning, and develop confidence and persistence as learners. By nurturing all five strands from an early age, we build a strong, balanced foundation in mathematics that supports deeper learning, flexible thinking, and a positive mindset toward math as students grow.
Conceptual Understanding: High achievers in mathematics understand the meaning of the operations and underlying math concepts of all areas of mathematics.
Productive Disposition: High achievers in mathematics are persistent.
Adaptive Reasoning: High achievers in mathematics can defend their thinking and critique the reasoning of others.
Strategic Competence: High achievers in mathematics are good problem posers and problem solvers.
Procedural Fluency: High achievers in mathematics can effectively, efficiently, and flexibly choose and use a variety of strategies to compute.