Many people think that they are poor at math. But that is different from a real problem with quantification that affects an estimated 7 percent of the population (Haberstroh & Schulte-Korne, 2019). Although we may not be one of them, math difficulty affects us all: It exacts a high cost societally, in terms of educational investment and lost productivity.
“Not Good at Math”—When Is It More Than That?
Alex is 10 but still can’t add up to 10 correctly, even when counting with his fingers. Sam has spent every summer with tutors trying to help her retain math facts. They never stick. Except for this quantitative problem, Alex loves fixing all sorts of mechanical gadgets and would make a good engineer someday. Sam designs models in 3D and wants to grow up to be an architect. But engineering and architecture need a strong math foundation.
When the will and effort are there, and yet the child still struggles with math more than is typical, parents have to probe deeper. Can it be dyscalculia?
What Is Dyscalculia?
Dyscalculia, also known as a math learning disability, is a neurologically based impairment. The brain of a person with dyscalculia operates in non-typical ways when doing math.
Math involves many concepts, symbols, procedures, and applications. Thus, math ability is highly complex, and any part may not be functioning typically or efficiently in the brain. By extension, dyscalculia is not a unitary condition but varies from person to person. Neither is it a sign of low intelligence, laziness, or poor instruction, given its prevalence.
Signs of Dyscalculia Across Age Groups
Math ability occurs along a continuum. At one end, mathematically talented children show strong tendencies to quantify everything around them, even early in life. For example, they wonder how much water a football stadium can hold when they are there to watch a game. At the other end, a 5th grader with a math disability may still not know the answer to 5 x 2.
Mathematical knowledge is cumulative. Arithmetic operations (addition, subtraction, multiplication, and division) form the foundation for algebra, geometry, and calculus. Thus, missing some part of the foundation affects the learning of the higher levels.
The age groups below are expected to be able to do the following:
Preschool Through Kindergarten
Count forward from 1 to 10 automatically
Write and name each of the 10 numerals (0 to 9)
Pick out the bag with the largest number of lollipops from a group of bags holding 1-10 of them each
Elementary School—by 3rd Grade
Know up to the five times table
Add and subtract numbers with multiple digits
Basic understanding of fractions
Late Primary—by 5th Grade
Know up to the 10 times table
Multiply and divide with multiple-digit numbers
Solve basic part-whole concept problems involving time, money, and fractions
Daily Life—Adults
Copying dates, phone numbers, and ID numbers
Estimating the total for a restaurant bill
Keeping track of time and appointments
When Systems Break Down
Math development involves five functional brain systems: sensory-motor, linguistic, cognitive, psycho-social, and executive function [Berninger & Wolf, 2015]
Sensory-motor. Sensory-motor integration is important for developing calculation skills. Finger counting, tactile sensations in sequencing tasks, and even grapho-motor skills in digit writing all contribute to early math development.
Linguistic. Oral discussion and written expression assist understanding of math concepts. Mathematical knowledge is expressed in a way that is specific to this domain. Students have to learn how to “decode” mathematical language used in math textbooks and in their teachers’ classroom instruction. Also, real-world applications of math often involve word problems.
Cognitive. Cognitive processes include different kinds of thinking and memory. Math problem-solving calls upon many kinds of thinking. Math concepts and procedures, for example, have to be stored in memory and retrieved for problem solving. This involves long-term and short-term memory. Working memory is the mental space within which active manipulation of information occurs to derive an output, in this case, the math answer.
Psycho-social. Mathematical ability is sensitive to one’s sense of competence in this subject and the teacher-pupil relationship. Math anxiety is real and has been documented in research (Conlon et al., 2021).
Executive function. Attention and executive function are factors in math problem-solving. Executive function is related to the management of one’s own mental processes, as in focusing on a task at hand to complete it while suppressing the impulse to get distracted.
Academic Problems and Skills Essential Reads
In short, mathematical ability depends on the efficient operation of these interconnected brain systems. Given the complexity of these systems, any part may run inefficiently, impeding math learning and problem-solving.
New Technologies, New Solutions
Even typically developing children can fall behind in math for various reasons. This may be due to instructional gaps or other environmental factors that can be addressed. Such cases typically respond well to structured remediation.
But dyscalculia, as a specific learning disability, is a condition that does not resolve itself even with more practice. Dyscalculia still lacks a universally accepted definition that can be operationalized so we can determine the source(s) of difficulty for each person and correct it at its root.
This approach has been used for another neurological condition that often co-occurs with dyscalculia—dyslexia. The technology is already available to trace the linguistic difficulties underlying dyslexia to its source to resolve the disorder (May & Van Horne, 2025). Given the linguistic solution, the logical approach is to first determine whether the source of the math difficulty is also language-based before investigating the other four functional systems.
Perhaps new technologies will also allow us to solve dyscalculia by tackling the other functional systems in the same way. Technology is needed because of the large volume of data and computations for this systems approach.