Learning Trajectories in Mathematics. A Foundation for Standards, Curriculum, Assessment, and Instruction. Consortium for Policy Research in Education (CPRE). Prepared by Phil Daro CCSS, member of lead writing team Frederic A. Mosher CPRE, Sr. Research Consultant Tom Corcoran
Learning Trajectories in Mathematics
A Foundation for Standards, Curriculum, Assessment, and Instruction
Shape Composing Trajectory
Based on Doug Clements’ & Julie Sarama’s in Engaging Young Children In Mathematics (2004).
3. Shape composer: More advanced. Chooses shapes with certain angles and length of sides. “I know that will fit!”
4. Substitution composer: yet more advanced. Can take hexagon outline and fill it in different ways to make a hexagon with pattern blocks.
to develop instructional tasks that:
The blank puzzle illustrates the type of structure that will challenge and help a child move their skills along the trajectory
Picture Maker Example