• Operations

    Inservice: Introducing +, – , x , ÷

    Getting started with solving addition, subtraction, multiplication, and division problems begins by asking teachers to rethink their existing ideas of teaching the operations and providing opportunities for teachers to see that
  • Operations

    What Children Know and Need to Learn about Operations

    Here is a brief account of how an understanding of the operations develops in the preschool years. Young children’s understanding of the operations develops out of their understanding of counting.
  • Operations

    Inservice: Building on Counting

    These guidelines can provide three or more hours on extending counting to operations.  It builds on participants’ knowledge of Counting Collections.
  • Operations

    Beginning Strategies for Problem Solving

    This piece explores the intuitive strategies that young children use to solve addition, subtraction, multiplication, and division problems.
  • Spatial Relations

    Preservice: Two Sessions

    As a preservice teacher educator working with students who are just beginning their preschool teaching careers, I have three main goals: (1) to help students draw on their own experiences
  • Operations

    Supporting Counting to Problem Solving

    This handout explores building on how young children count collections of objects to support them to reason about solving problems that involve operations. 
  • Operations

    “Fair Sharing and Sharing Fairly” Vignette

    We often think of mathematical development and socio-emotional development as two ships passing in the night, existing in the same ocean but not interacting. But, fair-sharing—the sharing of toys or
  • Operations

    “Context Matters” Vignette

    A vignette about teachers Makayla and Jaden draw on their knowledge of “development” to consider if children’s understanding of operations has an “order” to it.
  • Operations

    Using Picture Books: Addition and Subtraction

    Imagine that you, as a teacher, are preparing to read a book to a child or group of children and you want to use the story as an opportunity to
  • Operations

    Formative Assessment: It Adds Up

    A brief account of formative assessment approaches that help you learn what young children know about operations.