Most advice on getting better at math is encouragement: practise more, believe in yourself, ask questions. All true and none of it a plan. Here is a plan. It works for a fourth grader, a high school student and an adult, because the thing that makes math hard is the same at every age: a gap somewhere in the chain, and practice aimed at the wrong place.
The plan, in five steps
1. Find the gap. Take a problem you cannot do. Ask: what would I need to be able to do in order to do this? Test that. If you cannot do it either, ask the same question again. Keep going until you reach something you can do. The gap is the step just above that, and it is usually two or three years below the problem you started with. This takes an evening and it is the most valuable evening in the whole process.
2. Close the gap first. Spend a week or three on that one skill, with nothing else. It feels like going backwards. It is the only thing that goes forwards.
3. Practise daily, in short sessions, by doing. Twenty minutes a day, every day. Not reading the textbook: doing problems. Cover the worked example and redo it; then five more without looking. Spread over days, practice is remembered; crammed into one evening, it is gone in a week.
4. Write every step and check every answer. One step per line. Then put the answer back into the question. This is slow for a week and then it is not, and it removes the most common kind of lost mark.
5. Get help with the one thing that will not shift. If a skill stays wrong after two weeks of honest practice, someone needs to watch you do it. The error is usually visible in thirty seconds to a person who knows what to look for, and invisible to you.
Why each of these matters, and why math is hard in the first place, is in why is math so hard.
A fix for each common weakness
| The weakness | What it looks like | The fix |
|---|---|---|
| Number facts | Still counting on fingers for 7 + 8; multiplication tables slow | Five minutes a day of timed facts, one table or one family at a time, until instant. The 21 hard tables facts are most of the job |
| Fractions | Adding denominators; "flip and multiply" without knowing why | Fractions as pieces of a whole, drawn, for a week; then the four operations with a reason for each rule |
| Negative numbers | Sign errors in every algebra problem | A number line on the desk; ten mixed questions a day for two weeks |
| Word problems | Can do the sum, cannot find it | Read it twice, say what is happening before any numbers, draw it, write what is asked, then calculate |
| Algebra | Letters as labels; the equals sign as "the answer comes next" | A balance picture; one equation per line; a self-check is in why am I bad at algebra |
| Speed | Right answers, out of time | Accuracy first, then timing a little at a time; speed comes from automatic facts, not from hurrying |
| Tests | Fine at home, blank in the exam | Practise under mild time pressure weekly; learn the checking routine cold so there is something to do when the mind goes blank |
| Showing work | Right answers, lost method marks | Write every step for two weeks even when it feels silly; mark schemes pay for steps |
How fast to expect progress
| Week | What you should notice |
|---|---|
| 1 | The gap found; practice feels easy because it is below your level |
| 2 to 3 | The gap closing; fewer "I can't"; homework quicker |
| 4 to 6 | The current topic making sense; a better quiz or test |
| 8 to 12 | A grade moving, because grades are averages and take time |
If week 4 arrives and nothing has changed, the practice is on the wrong thing. Go back further.
By age
A child, Grades 1 to 5. The gap is usually number facts, place value or fractions. Objects before numerals, every time. Ten minutes a day, as a game where possible, with a parent. Never writing as a punishment. Progress at this age is slow week to week and obvious over a term.
Middle school, Grades 6 to 8. The years when arithmetic becomes algebra, and the years when most lifelong gaps are made. Test the Grade 5 skills first: fractions, decimals, negative numbers. Then one step per line in everything.
High school. A bad year in Algebra 2 or Geometry is nearly always a middle-school gap exposed. Fix it alongside the course, not instead of it, and work the course a little ahead of the class so lessons become revision. Start help in the first month a unit goes wrong.
An adult. You have the same gap you had at school, plus years without practice and a belief that you are bad at math. Drop the belief; it is a label, not a diagnosis. Start where it stopped making sense, often fractions or the first algebra, with a good free course or a workbook, done rather than read. Adults learn the reasons behind methods faster than children and progress is quick once the gap is found.
Three things that do not work
- Reading the textbook. It feels like studying and produces nothing. Do problems.
- More of the current chapter when the problem is three years back. The effort lands in the wrong place.
- Long weekend sessions. Four hours on Sunday is remembered worse than twenty minutes on six days.
When to get a tutor, and what kind
Get one when a skill will not shift after two weeks of honest daily practice, when the gap is more than a year wide, or when there is a date, such as an exam, that does not leave time for trial and error. The right kind of tutor starts by finding the gap, teaches backwards from it, and watches you work rather than explaining for the hour. The kinds, and what each is for, are in different types of tutors.
Where to get help
A 1-on-1 online class with a tutor who holds a master's in mathematics: the gap found in the first class, closed first, then the current course a unit ahead of school, with every line of working read. For 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
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2How to get better at math fast?
3How to get better at math as an adult?
4How to get better at math in high school?
5How long does it take to get better at math?
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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.