Comparing 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.”

Inclusive Teaching Approaches

We are working with our partners at the STEM Innovation for Inclusion in Early Education (STEMI2E2) Center to improve engagement opportunities for young children with disabilities (0-5). 

Accessibility for Diverse Educators 

  • Almost all of the videos on our website have closed captions in English and Spanish for the deaf and hard of hearing.
  • Most of our videos can also be accessed with a voiceover describing the scene for those with vision impairments. Click on the Accessibility toggle in the bottom right corner.

Accessibility for Children 

Learn how to incorperate Comparing Numbers across the whole day in Routines, and find accomodations for diverse learners in all levels of Comparing Numbers in Teaching Strategies. 

We have also created new activities or updated previous activities with new features that support engagement for all children. Features of the activities include intentionally inclusive design, accommodations for specific disabilities, questions for caregiver and early interventionist reflection on development, and ideas for learning in everyday routines. We have started by developing activities for infants and toddlers, with plans to add more at the older levels in the future. New inclusive activities for Counting are linked below (and also embedded in the site, at their respective trajectory level).

Which has More?- Early Comparer, Perceptual Compare

Find My Home?- Many-to-One Corresponder, One-to-One Corresponder 

General accommodation recommendations can be accessed in our Inclusion resources, linked here

Read more about the STEMIIEE center here at their website

Special Thanks To

Institute of Education Sciences
The research reported here was supported by the Institute of Education Sciences, U.S. Department of Education, through grant numbers R305K050157, R305A120813, R305A110188, and R305A150243. to the University of Denver. The opinions expressed are those of the authors and do not represent views of the Institute or the U.S. Department of Education.