Early number sense plays role in later math skills

WASHINGTON — We know a lot about how babies learn to talk, and youngsters learn to read. Now scientists are unraveling the earliest building blocks of math — and what children know about numbers as they begin first grade seems to play a big role in how well they do everyday calculations later on.

The findings have specialists considering steps that parents might take to spur math abilities, just like they do to try to raise a good reader.

This isn’t only about trying to improve the nation’s math scores and attract kids to become engineers. It’s far more basic.

Consider: How rapidly can you calculate a tip? Do the fractions to double a recipe? Know how many quarters and dimes the cashier should hand back as your change?

About 1 in 5 adults in the U.S. lacks the math competence expected of a middle-schooler, meaning they have trouble with those ordinary tasks and aren’t qualified for many of today’s jobs.

“It’s not just, can you do well in school? It’s how well can you do in your life,” says Dr. Kathy Mann Koepke of the National Institutes of Health, which is funding much of this research into math cognition. “We are in the midst of math all the time.”

A new study shows trouble can start early.

University of Missouri researchers tested 180 seventh-graders. Those who lagged behind their peers in a test of core math skills needed to function as adults were the same kids who’d had the least number sense or fluency way back when they started first grade.

“The gap they started with, they don’t close it,” says Dr. David Geary, a cognitive psychologist who leads the study that is tracking children from kindergarten to high school in the Columbia, Mo., school system. “They’re not catching up” to the kids who started ahead.

If first grade sounds pretty young to be predicting math ability, well, no one expects tots to be scribbling sums. But this number sense, or what Geary more precisely terms “number system knowledge,” turns out to be a fundamental skill that students continually build on, much more than the simple ability to count.

What’s involved? Understanding that numbers represent different quantities — that three dots is the same as the numeral “3” or the word “three.” Grasping magnitude — that 23 is bigger than 17. Getting the concept that numbers can be broken into parts — that 5 is the same as 2 and 3, or 4 and 1. Showing on a number line that the difference between 10 and 12 is the same as the difference between 20 and 22.

Factors such as IQ and attention span didn’t explain why some first-graders did better than others. Now Geary is studying if something that youngsters learn in preschool offers an advantage.

There’s other evidence that math matters early in life. Numerous studies with young babies and a variety of animals show that a related ability — to estimate numbers without counting — is intuitive, sort of hard-wired in the brain, says Mann Koepke, of NIH’s National Institute of Child Health and Human Development. That’s the ability that lets you choose the shortest grocery check-out line at a glance, or that guides a bird to the bush with the most berries.

Number system knowledge is more sophisticated, and the Missouri study shows children who start elementary school without those concepts “seem to struggle enormously,” says Mann Koepke, who wasn’t part of that research.

While schools tend to focus on math problems around third grade, and math learning disabilities often are diagnosed by fifth grade, the new findings suggest “the need to intervene is much earlier than we ever used to think,” she adds.

Exactly how to intervene still is being studied, sure to be a topic when NIH brings experts together this spring to assess what’s known about math cognition.

But Geary sees a strong parallel with reading. Scientists have long known that preschoolers who know the names of letters and can better distinguish what sounds those letters make go on to read more easily. So parents today are advised to read to their children from birth, and many youngsters’ books use rhyming to focus on sounds.

Likewise for math, “kids need to know number words” early on, he says.

NIH’s Mann Koepke agrees, and offers some tips:

—Don’t teach your toddler to count solely by reciting numbers. Attach numbers to a noun — “Here are five crayons: One crayon, two crayons…” or say “I need to buy two yogurts” as you pick them from the store shelf — so they’ll absorb the quantity concept.

—Talk about distance: How many steps to your ball? The swing is farther away; it takes more steps.

—Describe shapes: The ellipse is round like a circle but flatter.

—As they grow, show children how math is part of daily life, as you make change, or measure ingredients, or decide how soon to leave for a destination 10 miles away,

“We should be talking to our children about magnitude, numbers, distance, shapes as soon as they’re born,” she contends. “More than likely, this is a positive influence on their brain function.”

Talk to us

> Give us your news tips.

> Send us a letter to the editor.

> More Herald contact information.

More in Local News

A firefighter stands in silence before a panel bearing the names of L. John Regelbrugge and Kris Regelbrugge during the ten-year remembrance of the Oso landslide on Friday, March 22, 2024, at the Oso Landslide Memorial in Oso, Washington. (Ryan Berry / The Herald)
‘Flood of emotions’ as Oso Landslide Memorial opens on 10th anniversary

Friends, family and first responders held a moment of silence at 10:37 a.m. at the new 2-acre memorial off Highway 530.

Julie Petersen poses for a photo with images of her sister Christina Jefferds and Jefferds’ grand daughter Sanoah Violet Huestis next to a memorial for Sanoah at her home on March 20, 2024 in Arlington, Washington. Peterson wears her sister’s favorite color and one of her bangles. (Annie Barker / The Herald)
‘It just all came down’: An oral history of the Oso mudslide

Ten years later, The Daily Herald spoke with dozens of people — first responders, family, survivors — touched by the deadliest slide in U.S. history.

Victims of the Oso mudslide on March 22, 2014. (Courtesy photos)
Remembering the 43 lives lost in the Oso mudslide

The slide wiped out a neighborhood along Highway 530 in 2014. “Even though you feel like you’re alone in your grief, you’re really not.”

Director Lucia Schmit, right, and Deputy Director Dara Salmon inside the Snohomish County Department of Emergency Management on Friday, March 8, 2024, in Everett, Washington. (Ryan Berry / The Herald)
How Oso slide changed local emergency response ‘on virtually every level’

“In a decade, we have just really, really advanced,” through hard-earned lessons applied to the pandemic, floods and opioids.

Ron and Gail Thompson at their home on Monday, March 4, 2024 in Oso, Washington. (Olivia Vanni / The Herald)
In shadow of scarred Oso hillside, mudslide’s wounds still feel fresh

Locals reflected on living with grief and finding meaning in the wake of a catastrophe “nothing like you can ever imagine” in 2014.

Everett mall renderings from Brixton Capital. (Photo provided by the City of Everett)
Topgolf at the Everett Mall? Mayor’s hint still unconfirmed

After Cassie Franklin’s annual address, rumors circled about what “top” entertainment tenant could be landing at Everett Mall.

Everett
Everett man sentenced to 3 years of probation for mutilating animals

In 2022, neighbors reported Blayne Perez, 35, was shooting and torturing wildlife in north Everett.

Dorothy Crossman rides up on her bike to turn in her ballot  on Tuesday, Aug. 1, 2023 in Everett, Washington. (Olivia Vanni / The Herald)
Everett leaders plan to ask voters for property tax increase

City officials will spend weeks hammering out details of a ballot measure, as Everett faces a $12.6 million deficit.

Starbucks employee Zach Gabelein outside of the Mill Creek location where he works on Friday, Feb. 23, 2024 in Mill Creek, Washington. (Olivia Vanni / The Herald)
Mill Creek Starbucks votes 21-1 to form union

“We obviously are kind of on the high of that win,” store bargaining delegate Zach Gabelein said.

Lynnwood police respond to a collision on highway 99 at 176 street SW. (Photo provided by Lynnwood Police)
Police: Teen in stolen car flees cops, causes crash in Lynnwood

The crash blocked traffic for over an hour at 176th Street SW. The boy, 16, was arrested on felony warrants.

The view of Mountain Loop Mine out the window of a second floor classroom at Fairmount Elementary on Wednesday, Jan. 10, 2024 in Everett, Washington. (Olivia Vanni / The Herald)
County: Everett mining yard violated order to halt work next to school

At least 10 reports accused OMA Construction of violating a stop-work order next to Fairmount Elementary. A judge will hear the case.

Imagine Children's Museum's incoming CEO, Elizabeth "Elee" Wood. (Photo provided by Imagine Children's Museum)
Imagine Children’s Museum in Everett to welcome new CEO

Nancy Johnson, who has led Imagine Children’s Museum in Everett for 25 years, will retire in June.

Support local journalism

If you value local news, make a gift now to support the trusted journalism you get in The Daily Herald. Donations processed in this system are not tax deductible.