It is fairly common to hear parents explain a child’s struggles with maths as being an hereditary trait, and that the child is simply ‘not good at maths’.  But is this true?  I know of maths teachers who claim they can teach maths to ‘any’ child, and others who believe that early introduction to numbers and becoming comfortable and familiar with number manipulation is an essential foundation for later maths skills.

Tanya Evans, an associate professor in the School of Education and Human Development at the University of Virginia, is one who believes in this. Only a small percentage of people, she said, are inherently bad at math.

“When children or adults struggle with learning to read, the response is, ‘You can do this, and we will teach you how.’ But with math, it’s more of ‘Oh, you’re just not good at math,’ and that’s the end of it. It’s just accepted.”

Evans is a developmental cognitive neuroscientist, which means she studies brain architecture and function, specifically how brain development enables children to acquire the skills needed to be successful in the classroom.

Evans said early education places a heavy emphasis on literacy, with children first learning to read and then reading to learn. Math literacy, however, is not as emphasized.

“You need both skills throughout your life. You need to read, but you also need to make budgets, pay your bills and manage medication schedules,” she said. “There are numbers all around us, and when you’re uncomfortable with them, it makes life more difficult.”

She explains that part of the discomfort with math may be due to math anxiety, passed on to children from math-averse parents.

“There’s some really interesting work showing that parents’ anxiety around doing math and even teachers’ anxiety around doing math can actually influence their children or their students,” Evans said. “Pregnant women see signs in the doctor’s office telling them to read to their children every day and sing songs to them every day, to help with their learning. But no one says to talk about math with your kids every day.”

Bryan McKenzie, of the University of Virginia, discusses the question of maths anxiety in a recent paper.  Research claims that few people are truly bad at maths. Practicing everyday math skills, like adding up steps and comparing prices, can make people more comfortable with numbers.

Curious about how math is learned, Evans joined with colleagues from UVA, Vanderbilt University, Georgetown University and others in studying 109 schoolchildren in second, third and fourth grades over several years to determine foundational skills that support learning math.

The study compared skills that support declarative memory, which is based on facts like where the nation’s capital is located, with those that focus on procedures, such as how to ride a bicycle.

The children performed simple memory tasks, like recalling objects after being shown photos, which researchers then compared to their later performance on math’s assessments. They repeated these tasks over several years, which gave researchers insight into the relationship between these skills across development.

They found that declarative memory is correlated with math’s skills in second through fourth grade and is also predictive of future math skills. Better performance on declarative memory tasks in second grade predicted better math skills in fourth grade.

“This indicates that basic memory tasks support future math learning, which tells us that math learning goes beyond the things we typically think of as math skills—like numbers, patterns and problem-solving. Problem-solving skills are important too, but without a solid foundation, there’s nothing to build upon.”

Evans, along with another collaborator at Georgetown, Ian Lyons, is now investigating how these basic memory skills relate to math learning at the brain level. They’re using similar tasks as in the behavioural work, but this time while children are having their brains scanned using fMRI. This process will enable researchers to identify the neural overlap between memory and math brain circuitry and better understand the mechanisms driving these relationships.

“In the past, kids were expected to memorize their multiplication tables and other math facts, and now there’s a greater focus on problem solving and less on memorization,” she said.

So, how can parents help their children be better at math? How can they become better themselves? There are tried-and-true flashcards and new smartphone apps, but there are simple ways, too.

She suggests that parents make maths a part of daily activities from an early age.  Play matching memory games with them, count steps when out on a walk, or talk about the prices when shopping.

“Thinking about or practicing basic math helps you with higher-level math and improves your ability to quickly recall the math facts that are necessary to solve problems,” Evans said. “You can make math conversation part of daily life. And when you’re more comfortable with it, your children are as well.”

 

Provided by University of Virginia 

Image supplied by Freepik.

Martin Doherty, writing for The Conversation, says that at the age of about four, children reach important milestones in brain development.

One of these is a huge improvement in understanding others’ thoughts and feelings. This is the start of empathy.  Another is in spatial thinking—understanding how objects are positioned and related. This is the beginning of the ability to read maps.

Martin and his colleague, Catherine Sayer, conducted a study with 175 two to five-year-olds to explore how children are able to use scale models to figure out where something is in the real world. At about four, children are able to use a scale model of a room to work out where something is. We thought that this might result from children’s understanding of how one thing can represent something else. But we actually found that four-year-olds’ ability to use scale models came from their spatial abilities.

At the same age, children start to understand that someone’s behaviour is due to what that person believes, not necessarily what is really the case. This has interesting consequences.

If you’ve played hide-and-seek with young children, you may have noticed that they aren’t always very good at it. They love the ritual of looking in all the wrong places first, but beforehand they may tell you where they are going to hide, hide in the same place every time, or not be especially hidden.

After their fourth birthday, they get much better at hide and seek. They understand that the seeker looks in the wrong places because they don’t know where the hider is.

At about three to four children also start to tell lies. They realize they can make someone believe something that isn’t true.

Understanding symbols

Martin’s earlier research with fellow psychologist Josef Perner suggests that four-year-olds don’t just start to understand how others’ minds work. Figuring this out is part of the development of an understanding of “representation”—that symbols, like thoughts, words, or pictures, can be used to stand for something else.

Children start to think about how words relate to objects. This means, for instance, knowing that “animal” can refer to something you already have a name for, such as “rabbit”. This might help children learn the new word.

Their ability to use a understand the components of pictures also improves around this age. Very young children use a lot of trial and error to complete a jigsaw, picking up random pieces to see if they fit. By the time they are about four years old, they start to use the picture as a guide, trying to connect lines and match bits of colour, while checking the guide picture on the box lid.

Developmental experiments

Another ability children develop at around four is using scale models. A classic set of developmental experiments involved a model of a regular household room. The real room had typical furniture—sofa, table, cupboard and so on—and the model had miniature versions laid out in the same way.

Children were shown where something was hidden in the model and told to find an object hidden in “the same place” in the room. Children of around four can find the object using the identical layouts. If shown a sticker under a particular chair in the model room, for example, they can go straight to the “same” chair in the other room. This is the fundamental understanding required to read maps.

Adults see scale models and maps as representations. Maps represent a town or a country. A scale model of, say, the Eiffel Tower represents the real thing. At first, Martin suspected children’s ability to use scale models is more evidence of understanding representation at this age.

He was wrong. Instead, the researchers found that this ability is based on a development in children’s spatial abilities that also occurs at about four. This is the ability to think about spaces and where objects are within them. Spatial abilities help with maths skills, and good spatial ability is linked to an interest in science, technology, engineering and mathematics.

Their experiment was simple. They compared the model room task with a test of understanding how representation works. The two abilities develop around the same age, but they found they were not related. Children who could do one task couldn’t necessarily do the other.

They also had a test of purely spatial ability. Children who passed the model room task also passed the spatial task. So it looks like the model room task relied on children‘s spatial thinking.

They don’t yet know why two important but apparently unrelated abilities arise at the same time. Perhaps it’s related to changes in the growing brain at this  interesting age.

Provided by The Conversation

Image supplied by Freepik.