Knowledge Hub ยท Article 159 ยท Maths

Why is math so hard? The seven real reasons (it is cumulative, it is abstract, it is taught too fast, it is practised wrong, anxiety, working memory, and sometimes dyscalculia), why it is hard for some people and not others, what helps with ADHD, and what to do about each reason

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Article 159 ยท Maths

"Why is math so hard" is searched by students at night, by adults who still feel the old dread, and by parents watching a child who was fine until this year. The honest answer is that math is not hard in one way; it is hard in seven, and most people have two or three of them. Find yours and the problem becomes specific, and specific problems can be fixed.

1. Math is cumulative

This is the big one. In history, missing a unit on the Romans does not stop you understanding the French Revolution. In math, missing fractions stops you understanding ratios, which stops you understanding algebra, which stops you understanding everything after algebra. The subject is a chain, and one broken link makes every later link feel impossible.

Worse, the gap is invisible from inside. A student failing Algebra 2 feels that Algebra 2 is hard. The real problem may be Grade 5 fractions, and nobody is looking there. This is why "study harder" so often does nothing: the effort goes into the current chapter instead of the missing link.

What to do: go backwards until it makes sense. Take a problem you cannot do and ask what you would need to know to do it, then test that, then the thing underneath that. The gap is usually two or three years back. A short self-check for algebra is in why am I bad at algebra.

2. Math is abstract

Numbers are already an abstraction; letters standing for numbers are an abstraction of an abstraction; functions, and later limits, go further still. Every level asks you to treat the previous level's ideas as objects, and some students are rushed through a level before it has become solid enough to build on.

What to do: make it concrete first, every time. Objects before numerals for a child; a drawn balance before "do the same to both sides"; a graph before a formula. The best math teachers at every level do this, and a student can do it alone.

3. It is taught faster than most people learn it

A school year has a syllabus to cover, and the class moves on whether or not everyone has got it. Research on mastery learning has found for decades that most students can learn most of the curriculum if given the time; what varies between students is mostly how long they need. Classrooms cannot give that time, so the slower learners of a topic are left with a gap, and gaps are cumulative (see reason 1).

What to do: accept that pace, not ability, is the issue, and buy the time back: ten minutes a day on the current topic before it moves on, or help with the one topic that did not land.

4. It is practised wrong

Most students "study" math by rereading notes and worked examples. It feels productive and does almost nothing, because understanding an example is not the same as being able to produce the method. Math is a skill, like a language or an instrument, and skills come only from doing.

What to do: cover the worked example and redo it. Then do five more without looking. Short sessions on several days beat one long session; the spacing effect is one of the most reliable findings in all of psychology.

5. Math anxiety

Fear of math is real and common, and it is not just a feeling: anxiety takes up the working memory that the calculation needs, so an anxious student actually performs worse than they know how to. Timed tests and being called on make it worse. It is learned, often early, from a bad experience or from an adult who said "I was never good at math either".

What to do: separate practice from performance. Practise untimed until a method is secure, then add time slowly. Learn the checking routine so well that there is something to do when the mind goes blank. And stop saying you are a math person or not; the research is clear that the belief itself changes results.

6. Working memory

Doing a multi-step problem means holding several things in mind at once: where you are in the method, the intermediate results, what the question asked. Working memory varies between people and is smaller in children, and it is reduced by anxiety, tiredness and distraction. Students with ADHD feel this most: the ideas are not harder for them, but holding and checking the steps is.

What to do: take the load off memory and put it on paper. One step per line. Write the intermediate result. Underline what the question asks before starting. Short sessions with breaks. What works specifically for students with ADHD is in online tutoring for ADHD students.

7. Sometimes, dyscalculia

About 5 to 7 percent of people have dyscalculia, a specific difficulty with numbers in the way dyslexia is a specific difficulty with reading. The signs are lifelong: number facts that never become automatic despite practice, trouble telling which of two numbers is larger, difficulty with time, estimation and left and right. It is not laziness and not low intelligence, and it is under-diagnosed.

What to do: if the signs have been there since the start and practice has not shifted them, ask the school or a psychologist about an assessment. Math is still learnable with dyscalculia; it needs different methods, more time and, often, a calculator for the arithmetic.

Which reason is yours?

If this sounds like you The likely reason
"I understood it in class and couldn't do the homework" 4: practised by watching, not doing
"I was fine until this year" 1: a gap that this year's topic finally exposed, or 3: this year's pace
"I can do it at home and blank in tests" 5: anxiety
"I know the method but I lose track halfway through" 6: working memory
"What does x even mean?" 2: an abstraction level that was rushed
"Numbers have never made sense, ever, even counting" 7: ask about dyscalculia
"I'm just not a math person" Usually 1 and 5 together, with a label on top

Most people find two rows that fit. That is the whole problem, and it is smaller than "math".

What this means in practice

Math being hard is not evidence about you. It is cumulative, abstract, taught at a fixed pace and practised badly almost everywhere, and those four alone would make it hard for anyone. The students it looks easy for are, nearly always, the ones with no gap in the chain. Finding and closing the gap is specific work, and a plan for it, at any age, is in how to get better at math.

Where to get help

A 1-on-1 online class with a tutor who holds a master's in mathematics does the one thing a classroom cannot: it watches you work, finds the broken link, and teaches that first. The first class is a diagnosis; the plan after it names the gaps. For school students from Grade 3 to calculus, and for adults returning to math. The free 30-minute first class is a real lesson on the problem you bring.

Questions parents ask

1Why is math so hard?
Mostly because it is cumulative. Every topic is built on earlier ones, so a gap from years ago makes everything after it feel impossible, and the gap is invisible from inside. Add that math is abstract, that classes move faster than most people learn, and that most students practise by reading worked examples instead of doing problems, and it feels hard to nearly everyone at some point. Ability is rarely the reason.
2Why is math so hard for me but easy for others?
Usually because the others have no gaps in the chain and you have one or two. Math feels easy when every step is automatic and impossible when one is not, and the people it looks easy for have simply never missed a step, or fixed theirs early. Differences in working memory and in math anxiety also matter; raw mathematical ability matters far less than it looks.
3Why is math so hard for people with ADHD?
Because math punishes exactly what ADHD makes hard: holding several steps in mind at once, sustained attention through a long calculation, and careful checking. The ideas are not harder for a student with ADHD; the execution is. Short sessions, one step per line, written working, and frequent checking help more than extra hours.
4Is it normal to find math hard?
Yes. Most people find math hard at some point, and in most countries the majority of adults report having struggled with it at school. What separates people who end up comfortable with math from those who do not is usually whether someone found their specific gap and fixed it, not talent.
5Why is math hard to learn as an adult?
Adults have the same gaps they had at school, plus years without practice and often a fixed belief that they are bad at it. The good news is that adults learn the reasons behind methods faster than children, and once the old gap is found, progress is quick. Start from the point where it stopped making sense, not from where you think an adult should be.

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written by

Shobha

Founder and lead tutor, Science with Shobha

Teaching maths, science and English to children online since 2018. 500+ students, 20+ tutors, families in nine countries.

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