This document discusses strategies for teaching math pedagogy based on research. It summarizes Jerome Bruner's research showing students build understanding by moving from concrete to pictorial to abstract representations. Richard Skemp's research found relational understanding through concepts like quantity and correspondence leads to better long-term learning than instrumental understanding through procedures alone. Zoltan Dienes' research showed exposing students to concepts through multiple materials enhances conceptual understanding. The document then discusses strategies for teaching number bonds, place value, and addition and subtraction in Grades 1-3.