Developing Mathematical Ideas (DMI): Number and Operations

Education Northwest offers professional development in the DMI curriculum that helps teachers examine the major ideas of K–6 mathematics and learn how children develop those ideas. Participants read and discuss classroom cases that illustrate student thinking as described by their teachers; explore mathematics; share and discuss the work of their own students; view and discuss videotapes of mathematics classrooms; write their own classroom cases; analyze lessons taken from innovative elementary mathematics curricula; and read overviews of related research.

Participants can choose from the following courses:

  • Number and Operations, Part 1: Building a System of Tens
  • Number and Operations, Part 2: Making Meaning for Operations
  • Number and Operations, Part 3: Reasoning Algebraically About Operations

What Participants Will Learn

Number and Operations, Part 1: Building a System of Tens
Participants explore the base-ten structure of the number system, consider how that structure is exploited in multidigit computational procedures, and examine how basic concepts of whole numbers reappear when working with decimals.

Number and Operations, Part 2: Making Meaning for Operations
Participants examine the actions and situations modeled by the four basic operations. The seminar begins with a view of young children's counting strategies as they encounter word problems, moves to an examination of the four basic operations on whole numbers, and revisits the operations in the context of rational numbers.

Number and Operations, Part 3: Reasoning Algebraically About Operations
Participants explore methods by which students work with numbers to formulate generalizations about operations. By expanding students' understanding of the properties that underlie the number systems introduced in the elementary grades, they will be prepared to think algebraically for success in middle school and beyond.

Format

Each DMI seminar comprises eight, three-hour sessions that can be delivered in a series of workshops.