The three building blocks of moving from doing (concrete) to seeing (pictorial) to symbolic (abstract) are particularly important for math instruction. For tips on how to incorporate these critical building blocks from early learning to upper grades, and insights into why the blocks build deep mathematical understanding, please see my latest piece in Edutopia.
Nell McAnelly has taught mathematics at the high school and university levels for more than 30 years. She also served as co-director of the Louisiana State University Cain Center for STEM Literacy, where she directed a number of high-profile projects requiring expertise in the design and implementation of standards-based professional development and curriculum instruction for K–12 teachers. Most recently, Nell was Great Minds’ project director for the New York State Mathematics Curriculum Development Project (EngageNY), now known as Eureka Math.