COG 3: Number Sense of Quantity

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Definition: Child shows developing understanding of number and quantity

COG 3 Number sense of quantity

View video examples of the developmental levels for DRDP (2015) COG 3 below: Responding Earlier, Responding Later, Exploring Earlier, Exploring Later, Building Earlier, Buidling Middle, Building Later, Integrating Earlier

 

 

Responding Earlier

Responds to people or objects in basic ways

Possible Examples

  • Looks at objects that are hanging from a mobile.
  • Calms in response to a familiar adult’s touch.
  • Turns toward a familiar adult’s voice.
Source: California Department of Education. 2009. California Infant/Toddler Learning and Development Foundations Series. https://www.cdevideos.org/.

Responding Later

Responds to changes
in the number of
objects observed or
interacted with

Possible Examples

  • Attends to one moving toy on a mobile, then to another.
  • Grasps one toy, and then lets go of it while reaching for another toy that has been introduced by a familiar adult.
  • Holds an object in each hand, and then touches the two objects

Source: California Department of Education. 2016.

Exploring Earlier

Demonstrates awareness of quantity

Possible Examples

  • Communicates, “More,” during lunch.
  • Dumps small cars out of a bucket.
  • Gestures for more when playing with play dough.
  • Shows excitement when an adult offers another book.
 

Exploring Later

Uses number names, but not always correctly, in situations related to number or quantity

Possible Examples

  • Communicates, “Dos,” [“Two,” in Spanish] and holds up two cups in the play kitchen.
  • Communicates, “One, two, five, one, two,” while pointing randomly to objects in a group.
  • Signs, “Two,” in response to the question of “How old are you?”
 

Building Earlier

Identifies small
quantities without
counting, up to three

Possible Examples

  • Communicates a desire for two apple slices after noticing that a peer has two apple slices.
  • Communicates, “Three dogs,” while looking at a picture of three dogs.
  • Communicates, “Now I have one bear and you have one,” while giving a peer a stuffed bear.

 

Source: California Department of Education. 2016.

Building Middle

Counts up to five objects using one-to-one 
correspondence;
and
Recites numbers in order, one through ten

Possible Examples

  • Counts out loud, “一, 二, 三, 四, 五,” [“One, two, three, four, five,” in Chinese] saying the next number as the next cup is placed on the table.
  • Chants numbers from one to 10 in order while waiting for a tricycle.
  • Counts, “One, two, three,” out loud while pointing to each of three squares on a light box.

Source: California Department of Education. 2016.

Building Later

Shows understanding
that the last number
counted is the total
number of objects in
the group

Possible Examples

  • Counts ducks in a storybook, “One, two, three, four, five,” and then communicates that there are five.
  • Communicates that there are six rocks after counting a collection of six rocks.
  • Counts four pencils and says, “Apat,” [“Four,” in Tagalog] when asked how many pencils there are.

 

Source: California Department of Education. 2016.

Integrating Earlier

Solves simple everyday problems involving numbers by counting up to 10 objects using one-to-one correspondence;
and
Recites numbers correctly, up to 20

Possible Examples

  • Counts six chairs, then counts seven children, and communicates,“We need one more chair.”
  • Counts accurately to 20 while marching.
  • Counts on fingers to determine how many napkins to get so that each child at a table of six has one.

Source: California Department of Education. 2016.