Young children reason about the four operations (yes, even multiplication and division!).

Why and What of Operations

Why engaging with operations is crucial for children’s early mathematics learning.

Mathematics of Operations

Several different approaches to explicating the important mathematics that underlies the content area of operations

Development of Children's Thinking on Operations

Videos of children, activities for prospective and practicing teachers, and readings that portray the development of an understanding of operations

Assessing Operations

Materials designed to explain and illustrate the importance of the formative assessment of children’s thinking on operations.

Supporting Classroom Practice

Resources that teacher educators can use to support teachers to develop classroom practice that engages young children in operations.


Fictionalized but very real examples of participants' experiences in learning to teach, and teaching, early math.

Getting Started

Teacher educators are invited to use these materials flexibly, with varied settings, amounts of time, and participants. We present a variety of possible ways of getting started with these resources.