Hidden Barriers in Mathematics Classrooms

When students struggle in mathematics, the difficulty is often assumed to come from the student. 

They are: 

• careless,

• distracted,

• unmotivated,

• weak in math, 

• "not trying hard enough,"

• or "just not a math person."

However, many barriers in mathematics classrooms are not actually located within the students. 

They are built into:

• task design,

• classroom routines,

• communication styles,

• pacing,

• sensory environments,

• and assumptions about what learning is "supposed" to look like. 

A student may fully understand a mathematical idea while simultaneously struggling to access the way mathematics is being presented.

These barriers are treated as "normal," causing them to become invisible.

Invisible barriers are especially powerful because students frequently blame themselves for them.

Instead of thinking: 

"This task is difficult."

Students often begin thinking:

"Something must be wrong with me."

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Mathematics is supposed to be challenging. Productive struggle, problem-solving, reasoning, and revising ideas are important parts of learning mathematics.

However, there is a difference between:

• struggling with mathematics

and

• struggling to access mathematics.

For example:

• A student decoding dense text is not necessarily struggling with proportional reasoning.

• A student overwhelmed by working memory demands is not necessarily struggling with algebraic thinking.

• A student trying to interpret unclear directions is not necessarily struggling with probability.

When barriers interfere with access, classrooms may unintentionally assess skills that were never meant to be the focus of the task.

Many mathematics classrooms reward speed as evidence of intelligence.

Students are praised for:

• finishing first,

• quickly recalling facts,

• solving problems mentally,

• or completing procedures quickly.

Over time, students absorb the message that "good at math" means:

• quick,

• certain,

• efficient,

• and automatic.

However, processing slowly does not mean a student is "bad at math."

Some students process carefully because they are:

• decoding text,

• organizing information,

• processing language,

• managing working memory,

• connecting representations,

• and monitoring errors.

I was almost always one of the last people still taking exams in college.
Even when I knew the material well.
Even when I ended up doing very well.
I just needed time. 

But classrooms often make slowness feel embarrassing. Students begin looking around the room, noticing who already finished, and quietly concluding that everyone else belongs there more naturally than they do. 

Mathematics is often treated as if it is "just numbers" or "numbers and symbols."

However, many mathematical tasks rely heavily on:

• reading,

• visual organization,

• locating information,

• switching between representations,

• and processing large amounts of information at once. 

Crowded worksheets, inconsistent formatting, lengthy directions, and overloaded visuals can dramatically increase cognitive load before mathematical reasoning even begins.

Students spend so much energy trying to find and organize information that they have fewer cognitive resources left for the mathematics itself.

Small design choices matter:

• spacing,

• chunking,

• consistent formatting,

• reducing unnecessary wording,

• visual organization,

• and explicit structure.

Accessibility is often built through small decisions repeated consistently. 

Students are rarely managing only one demand at a time.

A mathematics task may require students to:

• decode language,

• remember instructions,

• organize work,

• track steps,

• monitor errors,

• switch representations,

• ignore distractions,

• and manage time pressure

all while trying to reason mathematically.

These demands accumulate. 

Sometimes students are not failing because they do not understand the mathematics. They are overloaded. 

Sometimes overload looks like:

• losing track of steps,

• restarting repeatedly,

• accidentally skipping information,

• appearing distracted,

• making inconsistent errors,

• or shutting down.

Mathematics classrooms often rely on expectations that are never explicitly explained.

Students are expected to somehow know:

• what counts as “showing work,”

• how detailed explanations should be,

• what teachers mean by "justify your answer,"

• how to participate appropriately in group work,

• or what the teacher considers the “correct” interpretation of a question.

For some students, uncertainty around expectations becomes the main challenge.

They may spend more energy trying to figure out:

"What does the teacher want from me?"

than engaging with the mathematics itself. 

This is especially important for students who process language, communication, or social expectations differently.

Making expectations explicit does not lower standards. It reduces unnecessary uncertainty.

Sometimes the mathematics itself is not the hardest part.

Sometimes the hardest part is:

• starting,

• organizing,

• pacing,

• remembering materials,

• keeping track of steps,

• or maintaining attention long enough to finish.

Mathematics classrooms often require strong executive functioning while treating those skills as invisible expectations.

A student may deeply understand the content while still struggling to:

• begin tasks,

• organize multi-step thinking,

• manage time,

• or keep information stable long enough to complete the work.

And because these struggles happen around the mathematics rather than inside the mathematics itself, students are often labeled:

• lazy,

• careless,

• or unmotivated.

Classroom environments themselves can also create barriers.

Noise.
Movement.
Bright lights.
Crowded walls.
Constant interruptions.
Unpredictable transitions.

For some students, a classroom may require continuous sensory regulation before mathematical reasoning can even begin.

For some students, maintaining sensory regulation requires continuous effort before mathematical reasoning can even begin.

And because many classrooms are designed around the assumption that students should simply “adapt,” these barriers often remain invisible.

Students are expected to manage the environment silently.

Even when the environment is actively interfering with their ability to think.

Over time, repeated barriers shape how students see themselves.

At first, someone thinks:

"This assignment is difficult."

Eventually it becomes:

"I'm just bad at math."

Students who repeatedly struggle to access mathematics may begin to believe:

• they are lazy

• they are careless

• they are incapable

• they are “not math people”

This shift matters because mathematical identity influences:

• participation,

• persistence,

• confidence,

• willingness to take risks,

• and future opportunities.

Students remember classrooms that made them feel incapable just as strongly as they remember classrooms that helped them feel successful.

They remember classrooms that gave them room to think, struggle, question, and participate without constantly feeling wrong. 

The goal is not to make mathematics easier. The goal is to ensure students are able to engage with the mathematics itself rather than spending all of their energy navigating unnecessary obstacles.

Small changes matter:

• reducing visual clutter,

• making expectations explicit,

• allowing processing time,

• emphasizing reasoning over speed,

• supporting executive functioning,

• valuing multiple approaches,

• and creating safer opportunities for participation. 

These changes do not benefit only neurodivergent students. They often improve access for many learners.

Sometimes the greatest barrier in mathematics classrooms is not the mathematics itself. 

It is the assumption that there is only one acceptable way to think, learn, communicate, and demonstrate understanding.