Can ‘number sense’ be taught?

First graders with poor “number sense” rarely catch up in math skills, concludes a University of Missouri study. But it’s not clear how parents or preschools can teach number sense.

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.

Math learning disabilities often aren’t diagnosed till fifth grade, much too late, says Dr. Kathy Mann Koepke, of NIH’s National Institute of Child Health and Human Development.

David Geary, who conducted the Missouri study, thinks parents can help children develop number sense before they start school.  NIH’s Mann Koepke urges parents to talk to young children about “magnitude, numbers, distance, shapes as soon as they’re born.”

– 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,

However, researchers don’t really know why some kids get that 3, three and xxx are the same thing and others don’t. Children with poor phonemic awareness need to work harder to distinguish the sounds in a word. Perhaps some kids need to work harder — or differently — to see mathematical relationships.

 

A walking ray of sunshine (and failure)

“This year, I have been blessed with a student who may be the nicest kid I’ve ever taught,” writes Exasperated Educator, who teaches in New York City.

Always prepared with an ear-to-ear smile and enormous enthusiasm, he is friendly to everyone even the mean kids. . . . No matter how challenging the lesson is for him, he works hard to understand. He is a walking ray of sunshine.

She’s also got a student who can process information in the moment, but can’t retain anything.

I model it. I give him manipulatives. I’ve had other students tutor him. I’ve given him extra homework. I’ve given him no homework. I’ve let him investigate the topic using videos or computer games. I’ve kept him at lunch for private tutoring. If he does understand the lesson, it lasts only a short while and certainly not into the next day.

It’s the same kid. As much as she likes him, she worries his inevitable failure will make it harder for her to be labeled an “effective” teacher. She resents that — and hates herself for thinking of this warm-hearted boy as a problem.

Value-added analysis is supposed to account for this kind of student: He’s maintaining his previous rate of growth — none — in her class. Whether it actually works like that is another story.  Exasperated doesn’t say if he’s been diagnosed with a learning disability. Inability to retain information should qualify him for an Individualized Education Program, though that’s no magic cure.

Carnival of Homeschooling

Since today is the Festival of All Saints, the Carnival of Homeschooling has a “saintly” theme.

Host Homeschool Buzz writes about a very tough year trying to teach a not-so-saintly fourth grader with a previously undiagnosed learning disability. Kathy Kuhl’s Homeschooling Your Struggling Learner was a big help.

Brat is not a learning disability

Brat is not a learning disability, writes Ricochet.

“Just because you are unwilling to go along with the program and follow the rules doesn’t mean that I have to go out of my way to make up work you will miss while sitting in time out.”

Special ed: Diagnoses vs. education

Miriam Freedman, author of Fixing Special Education questions “the need for expensive and extensive diagnoses” of “specific learning disability” (SLD) in an Education Week interview.

Instead of ever more detailed diagnostic reports, let’s focus our scarce public resources on improving teaching for all students, including students with disabilities, through ‘best practices,’ diagnostic teaching, targeted instruction, meaningful standards and accountability, and the response to intervention (RtI) model, especially in the early grades. Let’s focus on teaching all students how to read, write and do math first.

Half of special education students are supposed to have a SLD, usually a reading problem. When students are taught well, fewer end up with a learning disability diagnosis.