• Operations

    Formative Assessment: It Adds Up

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

    Making Sense of Problem Types

    Considering how a young child would intuitively approach word problems helps us to explore the range of problem types within addition, subtraction, multiplication, and division.
  • 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

    The Mathematics of Operations

    An accessible overview of the mathematics of operations. Patterning, decomposition, place value, and equivalence are all key ideas underlying an understanding of operations.
  • Operations

    Professor Ginsboo: Operations

    This story is written not for children, but for prospective and practicing teachers. It takes the child’s point of view about operations and presents the adventure in an amusing manner that will
  • Operations

    Beginning with Multiplication and Division

    Multiplication and division are often considered to be too mathematically complex for young children. However, we see that young children engage in multiplicative reasoning as they play and that their
  • Operations

    Counting on Operations

    Children have intuitive ideas about operating on number from a very early age. This piece helps us begin to think about the ways in which young children encounter operations in
  • Operations

    Analyzing the Thinking Underlying Wrong Answers

    One of our main goals is to help participants understand the importance of assessing children’s thinking. This activity engages participants in bug detection and analysis; that is, figuring out the thinking
  • 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

    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