The increasing interest in early childhood mathematics education for decades has increased the need for empirically supported pedagogical strategies. However, there is little agreement on how early math might best be taught. We draw from the empirical literature to paint a picture of research-based and research-validated pedagogical approaches and strategies for teaching early math. Most approaches share core characteristics, including concern for childrenâs interests and engagement and for working on content matched to childrenâs level of thinking. Learning trajectories are an especially useful organizing structure because they combine and integrate educational goals, development of childrenâs thinking, and empirically supported pedagogical strategies. Therefore, they help teachers interpret what the child is doing, thinking, and constructing, and offer instructional activities that extend childrenâs mathematical thinking. Simultaneously, teachers can see instructional strategies from the childâs perspective, offering meaningful and joyful opportunities to engage in learning.