• Operations

    Extending Counting to Operations: Getting Started

    The following activity helps participants notice and support children’s sense-making about the actions involved in the operations: joining, separating, comparing and even grouping (multiplication and division).
  • Operations

    Extending Counting to Operations: Archie & Caro

    Attending to the nuance of children’s responses enables teachers to figure out what children understand and what questions and supports can help them extend their thinking. Figuring out which questions
  • 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

    Classroom Videos: Operations

    This page includes more video resources related to the development of operations and how teachers can engage young children in operations.
  • 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

    “Context Matters” Activity

    This activity provides participants with an opportunity to explore children’s development in operations as children solve problems that arise through play and interactions throughout the day.
  • 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

    “Fair-Sharing and Sharing Fairly” Activity

    This activity provides participants with an opportunity to explore children’s early abilities in fair-sharing and to explore their own beliefs and attitudes about supporting children’s mathematical and socio-emotional development.
  • 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

    Preservice: Two Sessions

    These guidelines can provide six or more hours on early mathematics (focus on shapes and spatial relations) in a three-unit semester preschool curriculum course. It can be broken into shorter segments.