Geometric-measurement - Session 2: Length Learning Trajectory – Developmental progression

Part 1: Overview

video of math teacher

Overview

Session 1 launched work on length measurement by focusing on exploring length measurement, analyzing how length measurement is represented in standards for student learning, naming key concepts of measurement, and observing how these concepts show up in students’ early ideas about measurement.

Session 2 extends the work from Session 1. This session focuses on

  • Unpacking learning trajectories for length by watching students measure
  • Taking notes to support learning and note taking in teaching
  • Applying learning trajectories to work with students on the Broken Ruler Task

Key Points

Learning trajectories have three components:

  • the goal (e.g., the key concepts involved with measuring length)
  • the developmental progression (i.e., levels of thinking through which the typical child passes when learning these ideas), and
  • instruction (i.e., the ways teachers can support students’ learning of these ideas). The scientific approach to learning trajectories weaves together ideas and practices drawn from standards, curriculum, teaching, and assessment.

Session 1 focused on the “goal” of the learning trajectory for length; this session focuses on the developmental progression.

Menu

  • DTE Home
  • Geometric Measurement Home
  • Sessions
    • Session 1: Length Learning Trajectory – Mathematical goals
    • Session 2: Length Learning Trajectory – Developmental progression
    • Session 3: Length Learning Trajectory – Instructional tasks and teaching strategies
    • Session 4: Area Learning Trajectory – Mathematical goals
    • Session 5: Area Learning Trajectory – Developmental progression
    • Session 6: Area Learning Trajectory – Instructional tasks and teaching strategies
    • Session 7: Volume Learning Trajectory – Mathematical goals
    • Session 8: Volume Learning Trajectory – Developmental progression
    • Session 9: Volume Learning Trajectory – Instructional tasks and teaching strategies
    • Session 10: Connecting dimensions of measurement

Get in touch

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  • University of Michigan
    School of Education
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    Ann Arbor, Michigan 48109-1259

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