When "Not Engaged" Really Means "Overloaded": Why Students Disengage From Mathematics
By Esther White, Founder of Maths Australia and creator of the I-CRAVE Maths® Methodology
A report released in July 2025 by the National Center for Learning Disabilities followed more than one hundred young adults with learning disabilities who had left high school early, or seriously considered it. Nearly nine in ten said they struggled to focus in class. More than half missed ten or more days of school in a single year.
Read quickly, those numbers describe disengaged students. But the report's lead researcher offered a different lens: when students seem anxious, disengaged or unsupported, it isn't necessarily a sign of failure on their part. It can be a sign that the system around them needs to change.
I want to bring that idea straight into the mathematics classroom, because this is where I see the pattern most often. The student who cannot get started. The one who hands in half a page after forty minutes of a lesson. The one who always seems to be somewhere else during the numeracy block.
For years, our instinct as educators has been to describe students like these as unmotivated, distracted or simply not engaged. I want to suggest a different question. Could some of these students actually be overloaded?
When "Not Engaged" Can Mean "Overloaded"
Cognitive load theory gives us a useful way to think about this. Working memory, the mental space we use to actively think something through, is limited. Everything a student learns has to pass through this narrow space as new understanding develops.
When a task asks working memory to hold more than it can manage, learning does not simply slow down. It can stop. Importantly, this has nothing to do with effort or motivation. It is a question of capacity.
Picture a student working through fraction division who looks distracted and unfocused. It is possible she is not engaged. It is also possible she is spending everything her working memory can hold trying to reconstruct a procedure from last week that was never quite secure, while also trying to take in today’s new content. Picture a student who seems reluctant to attempt a worded problem. He may lack confidence. He may also lack the background knowledge or vocabulary to access what is being asked of him. Picture a student who looks checked out during independent practice. She may be doing very little maths, or she may be working hard just to hold fragile, half-remembered information together, with little capacity left for the mathematics itself.
None of this means every disengaged student is overloaded. Some students genuinely are unmotivated in a given moment, for reasons that have nothing to do with cognitive load. But when "not engaged" becomes our only explanation, we can miss the students for whom the real story is that the lesson is asking more of them than their working memory can currently give.
Why Old Gaps Make New Mathematics Harder
This matters most when foundational understanding is shaky, because gaps in earlier learning do not stay quietly in the past. They can resurface every time new mathematics depends on them.
Take subtraction with regrouping. A student with a secure, automatic sense of place value experiences a problem like 342 minus 167 as a small number of manageable steps, because that foundational knowledge is already compressed and ready to use. A student without that foundation may have to hold the meaning of every digit, every exchange, and the procedure itself in mind at the same time, while also trying to learn the new steps being taught. The task looks identical on the page. For some students, it is a very different cognitive experience.
Something similar can happen when students meet multiplication or division before they understand the structure underneath it, or when they are asked to multiply fractions without a genuine sense of what a fraction represents. In each case, a student without the underlying concept is not just missing a fact. They can end up trying to build new understanding on a foundation that will not hold their weight, while simultaneously attempting to reconstruct what should already be secure.
Mathematical language adds its own load here too. A word problem is a comprehension task before it is a mathematics task. A student without a secure grasp of terms like difference, product or altogether is effectively solving two problems with one working memory: what the question is asking, and what the mathematics within it requires. For students who already find language demanding, precise mathematical vocabulary is often what makes the mathematics itself accessible.
What Changes When We Teach Differently
If overload is often the hidden driver behind these behaviours, good instructional design has one central job: protect working memory from unnecessary demands, so whatever capacity a student has can go toward genuine understanding.
This is the strongest argument I know for explicit, well-sequenced teaching. Reviewing what students already know before introducing something new. Breaking new content into small, manageable steps. Modelling thoroughly before expecting independent work. Checking understanding often enough that a misconception is caught while it is still small, rather than left to compound. None of this is about slowing students down for its own sake. It is about making sure no single step asks for more than a student’s current understanding can support.
It is also why novice learners generally need more guidance than we sometimes assume. Experienced mathematicians can often work through an unfamiliar problem with very little direction, because they already have a rich, organised store of prior knowledge to draw on. A student who is still building that knowledge does not have the same resource to lean on, so it is unreasonable to expect them to discover mathematical structure largely unaided. This is not an argument against genuine mathematical reasoning. It is an argument about order: guidance first, so real understanding has the chance to form, and independence once that understanding exists to support it.
Concrete materials belong in this picture for the same reason, particularly while a concept is still forming. A well-chosen physical model that a student can manipulate, paired with a clear visual representation, precise mathematical language and explicit teacher modelling, can reduce the number of new ideas a student needs to hold in mind at once. This is the real case for multi-sensory mathematics teaching. It is not sensory variety for its own sake. It is that a carefully combined concrete material, image, physical interaction and explanation can carry more meaning together than any one of them could alone, while asking less of working memory to get there. Consistency matters too. A student who meets a different representation every lesson has to relearn it each time, rather than build steadily on what they already recognise.
How I-CRAVE Maths® Puts This Into Practice
I built the I-CRAVE Maths® Methodology to turn this thinking into something a teacher can apply, lesson by lesson.
It begins with Identify: finding out precisely what a student already understands and where their understanding starts to break down, rather than working from a general impression that they are "behind." From there, Concrete experiences make an idea tangible, and Representational models help a student see its structure, each building on what came before. Abstract notation is introduced only once the underlying idea genuinely has meaning for the student, so symbols are never simply marks on a page. Verbal asks students to explain their own thinking, because putting an idea into words is part of how understanding settles into place. Explicit ties the whole sequence together: clear modelling, guided practice, and enough time before independence is expected.
No stage substitutes for mastery of the one before it. A student moved on to multiplying fractions without a secure sense of what a fraction is has been asked to build on ground that will not hold, and the result is predictable: avoidance, frustration, and a growing belief that mathematics simply isn’t for them.
This is also why identifying gaps precisely matters so much. A student does not need to relearn everything, only the specific piece that was never secured, taught again in a way that removes unnecessary load and lets genuine understanding take root.
Confidence Follows Understanding, Not the Other Way Around
It is tempting to think we can talk a struggling student into feeling more confident about mathematics. In practice, confidence tends to work the other way around. Students come to believe they can succeed at mathematics because they have already done so, repeatedly and genuinely, not primarily because they have been told they are capable.
This is also the case for pace. Research on mastery learning points to a consistent finding: students who are supported to properly consolidate a concept before moving on, rather than progressing simply because the timetable has moved on, tend to achieve more and retain it for longer. This does not mean lowering expectations. It means making sure the foundation for the next concept is genuinely there before we build on it.
The connection back to cognitive load is direct. When earlier learning has not been consolidated, a student has to spend precious working-memory capacity reconstructing it, at the very moment they are meant to be absorbing something new. Push the curriculum forward regardless, and that student does not simply fall a little further behind. They face increasingly complex mathematics while still holding together material that was never secure in the first place, and the load can compound.
A Different Question to Ask
Before we decide that a student "just isn’t engaged" in mathematics, it is worth pausing to ask what might be happening underneath the behaviour we are seeing.
What does this student genuinely understand? Where did that understanding start to become fragile? Are we asking them to take on new mathematics before the foundation beneath it is secure?
Sometimes the answer is not more worksheets, more repetition, or telling a student to concentrate harder. It can be returning to the point where understanding first became shaky, making the mathematics concrete and accessible again, teaching it explicitly, and giving the student genuine time to reach mastery before we ask for more.
Many of our students with learning disabilities and learning difficulties are not the ones who need to change. Often, it is our instruction that does. Give a struggling student mathematics teaching that respects what their working memory can actually hold, and what looked like disengagement can begin to give way to something else: a student who can finally think in mathematics, rather than simply endure it.
Ready to Make a Difference?
When a student is struggling with mathematics, knowing where understanding has broken down and what to do next can make all the difference.
This is exactly why we've developed our new Numeracy Intervention Training at Maths Australia. It's designed to give teachers, tutors and education professionals practical, evidence-based strategies to identify learning gaps, teach concepts explicitly and sequentially, and use the I-CRAVE Maths® Methodology to help students build genuine mathematical understanding, mastery and confidence.
If you're supporting students who are struggling, disengaging or simply not progressing in maths, I'd love to help you build the knowledge and confidence to know where to start and what to do next.
Explore our Numeracy Intervention Training and discover how you can help students build understanding, confidence and lasting success in maths.
References
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Fuchs, L. S., Seethaler, P. M., Sterba, S. K., Craddock, C., Fuchs, D., Compton, D. L., Geary, D. C., & Changas, P. (2021). Closing the word-problem achievement gap in first grade: Schema-based word-problem intervention with embedded language comprehension instruction. Journal of Educational Psychology, 113(1), 86–103. https://doi.org/10.1037/edu0000467
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National Center for Learning Disabilities, The GRAD Partnership, & WestEd. (2025). Succeeding in high school & beyond: Insights and action for supporting students with learning disabilities. National Center for Learning Disabilities. https://ncld.org/succeeding-in-high-school-beyond/
National Center for Education Evaluation and Regional Assistance. (2021). Assisting students struggling with mathematics: Intervention in the elementary grades (WWC 2021006). Institute of Education Sciences, U.S. Department of Education. https://ies.ed.gov/ncee/WWC/Docs/PracticeGuide/WWC2021006-Math-PG.pdf
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