Assessing Math Concepts
by Kathy Richardson

A K-3 Assessment Program promoting foundational understanding and mastery of the Critical Learning PhasesKathy Richardson has defined a Critical Learning Phase as a particular moment in a process at which a significant change or development occurs or a particular condition is reached. The Critical Learning Phase that a child has reached determines the way he or she is able to think with numbers and to use the numbers to solve problems. Classroom teachers can use their understanding of this to guide their instruction and ensure that children will be working at a level that is most appropriate, ensuring maximum growth and understanding.™. These formative assessments use brief student interviews to find out what children understand. Assessing Math Concepts identifies the Critical Learning Phases and helps teachers to meet each child at their level of understanding with appropriate instruction.

 The most effective way to meet standards is to work toward them by beginning wherever the child is. If we are to truly teach children, we must meet them at their level of understanding. Any other strategy simply wastes the child's time and prevents the development of the essential foundational understandings and skills needed for future success. 

— Kathy Richardson