Comparing and Ordering Number

This trajectory is a combination of five related subtrajectories.

In Comparing, children learn to compare quantities (e.g., a group of 4 compared to a group of 5) first perceptually and then numerically, with increasing ability to ignore distracting characteristics, such as the size of the objects.

In Ordinal Number, children learn ordering a thing’s position in a series, which often (but not always) involves terms such as “first, second, third….”

In Comparing/ Ordering, children learn to put quantities in order.

In Numerosity Estimation, children learn to estimate the number in a group of objects with increasing ability to estimate quantities of larger numbers with more precision.

In Number Line Estimation, children build an increasing large and robust “mental number line.”

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Levels

  1. Comparison Senser: Foundations
  2. Early Comparison Corresponder
  3. Perceptual Comparer
  4. First-Second Ordinal Counter
  5. Early Comparer of Similar Items
  6. Early Comparer of Dissimilar Items
  7. Matching Comparer
  8. Counting Comparer (Same Size)
  9. Spatial Extent Estimator—Small/Big
  10. Counting Comparer (5)
  11. Mental Number Line to 5
  12. Serial Orderer to 5 (Comparing Number)
  13. Ordinal Counter
  14. Counting Comparer (10)
  15. Mental Number Line to 10
  16. Serial Orderer to 6+ (Comparing Number)
  17. Spatial Extent Estimator
  18. Place Value Comparer
  19. Mental Number Line to 100
  20. Scanning with Intuitive Quantification Estimator
  21. Mental Number Line to 1000
  22. Benchmarks Estimator
  23. Composition Estimator

Inclusive Teaching Approaches

As we continue to add to and improve the website, we consider a Universal Design to Learning (UDL) approach to make activities as broadly accessible as possible.
When we have specific ideas for additions to activities that would make that learning activity more accessible, we add those into a section on "adaptations" within activities.
Remember! The learning goal remains the same for all children. The adaptations are only added to ensure a larger group of children will be able to engage in the learning.
Learn more from our partners at STEMIE at https://stemielearningtrajectories.fpg.unc.edu. 

Special Thanks To

Institute of Education Sciences
Bill & Melinda Gates foundation
Heising Simons foundation
The research reported here was supported by the above funding agencies.
Any opinions expressed are those of the authors and do not represent the views of the agencies.