• National Association for Education of Young Children

Children develop math concepts and skills very early in life. From the moment they are born, babies begin to form ideas about math through everyday experiences and, most important, through interactions with trusted adults. Language—how we talk with infants and toddlers about math ideas like more, empty, and full—matters.

#### Math is everywhere!

We use basic math language all the time, without realizing it. For example, when we separate clothes by color, we’re using the math concepts of sorting and classifying. When we keep score during a game and determine how much our team is ahead or behind (number and operations), or give someone directions to get from one place to another (spatial relationships)—that’s math. We constantly use comparison words (measurement) such as big and little and use patterns to explain the order of daily routines and activities (“We brush our teeth after breakfast”). With our children, we play games and sing songs that use numbers and counting (such as ”One, Two, Buckle My Shoe”).

Even without our support, infants and toddlers use math concepts to make sense of their world. For example, infants like Maya signal when they want more food. More is one of the first math concepts understood by children. Babies tell us—often dramatically—that they know the difference between familiar and unfamiliar adults (sorting and classifying). Toddlers try to climb into boxes of various sizes (spatial relationships) and say words and phrases from familiar stories or songs that use repetition (patterns).

We can make the math that occurs in daily life visible to children through math talk. Each day offers us countless opportunities to help children deepen their understanding of math concepts. The more we talk math, the better chance infants and toddlers have to build a positive attitude toward math learning and learning in general.

#### Basic math concepts

When we are aware of early math concepts, we can be more thoughtful in our everyday interactions with infants and toddlers. Here are five basic math concepts that can be woven into our everyday conversations with infants and toddlers.

1. Number and operations—understanding the concept of number, quantity, order, ways of representing numbers, one-to-one correspondence (that one object corresponds to one number), and counting.

• “You have two eyes, and so does your bear. Let’s count:--1, 2.”
• “I have more crackers than you do. See, I have 1, 2, 3,  and you have 1, 2. I’m going to eat one of mine. Now I have the same as you!”
• “That’s the third time I’ve heard you say mama. You’ve said mama three times!”

2. Shapes and spatial relationships (geometry)—recognizing and naming shapes, understanding the physical relationship between yourself and other objects and the relationships between objects.

• “Look, Jason went under the climber and Aliyah is on top!”
• “You’re sitting next to your brother.”
• “Some of the crackers we have today are square, and some are round.”

3. Measurement—size, weight, quantity, volume, and time.

• “Moving that chair is hard. It’s heavy.”
• “Your nap lasted a long time today!”
•  “Let’s count how many steps it takes to reach the mailbox.”

4. Patterns, relationships, and change—recognizing (seeing the relationships that make up a pattern) and/or creating repetitions of objects, events, colors, lines, textures, and sounds; understanding that things change over time and that change can be described with math words. These are the basic building blocks of algebra!

• “Daddy has stripes on his shirt—white, blue, white, blue, white, blue.”
• ”Let’s clap to the beat of this song.”
• “I put the blocks in the bucket; you dump them out. I put the blocks back in the bucket; you dump them out!”
• “Our plant looks taller today. I think it grew overnight.”

5. Collecting and organizing information—gathering, sorting, classifying, and analyzing information (data) to help make sense of what is happening in the environment.

• “Let’s put the big lid on the big bowl and the small lid on the small bowl.”
• “You always smile when Mommy sings to you!”
• “Let’s put the dolls in the basket and the balls in the box.”

#### Try it

• Talk math with your child as a matter of routine. For example, diapering, meal and bath times, neighborhood walks, and shopping trips are ideal times to count, point out shapes and sizes, talk about patterns, and describe how things are the same and different.
• Make a list of math talk words and phrases. Post it on the refrigerator or somewhere else handy to remind you to take advantage of math talk opportunities.

Math talk enriches everyday learning experiences for infants and toddlers. You’ll be surprised at how much they know and can learn. Your math talk today can help your children be successful in math as they get older.

Source: Adapted from a Rocking and Rolling column written by Jan Greenberg and published in the May 2012 issue of Young Children. The full article is available at www.naeyc.org/yc/files/yc/file/201205/RockingAndRolling_YC0512.pdf.

For more information on early math learning, see the joint position statement of NAEYC and NCTM (National Council of Teachers of Mathematics): “Early Childhood Mathematics: Promoting Good Beginnings” (2002, updated 2010) at www.naeyc.org/positionstatements/ mathematics.