How to practise maths effectively: a guide for students and parents

Why more practice does not always mean more progress

Most students who struggle with mathematics are not short of effort. They sit with a textbook, work through a page of similar questions, get most of them right, and feel prepared. A week later the same topic appears in a test and the method has gone. The problem is rarely ability. It is the way the practice was organised.

Learning research has a fairly consistent message here: the kind of practice that feels smooth in the moment is often the kind that is forgotten fastest. Practice that feels slightly harder, because you have to recall a method rather than copy it, tends to last. The habits below put that idea to work and need nothing more than a notebook and a timer.

Keep sessions short and regular

Twenty focused minutes on five days of the week is usually worth more than a two-hour session on Sunday. Short sessions are easier to start, easier to fit around school, and they give the brain several chances to revisit material instead of one.

A useful structure for a 20-minute session:

• 3 minutes: two or three questions from an older topic, done from memory.
• 12 minutes: practice on the current topic, starting easy and getting harder.
• 5 minutes: check answers, and write any mistake into a mistake log (see below).

Parents can help most by protecting the time and place rather than by supervising every question. A consistent slot, such as straight after a snack or before dinner, removes the daily negotiation about whether practice will happen.

Recall before you reread

When a student opens their notes to revise, the natural instinct is to reread worked examples. Rereading feels productive because everything looks familiar, but recognising a method is not the same as being able to produce it.

Instead, close the notes and try a question first. If you get stuck, look at the example only for the step you need, then close it again and finish on your own. This is often called retrieval practice: the effort of pulling a method out of memory is what strengthens it. Getting a question wrong after a genuine attempt, and then seeing the correction, is still far more useful than reading the answer first.

Space topics out and mix them up

Textbook exercises usually group twenty questions on the same skill together. That is fine when a topic is brand new, but once the basic method is understood, blocked practice hides an important skill: recognising which method a question needs.

Two adjustments help:

• Spacing: return to a topic a few days later, then a week later, then a few weeks later, instead of finishing it once and moving on for good.
• Mixing (sometimes called interleaving): once several topics have been learned, combine them in one set so that fractions, percentages and ratio questions appear side by side. The student has to decide what each question is asking before solving it, which is exactly what an exam requires.

Mixed practice feels harder and produces more mistakes during the session. That is expected, and it is the reason it works.

Keep a mistake log

A mistake log is a simple notebook page with three columns: the question, what went wrong, and the correct idea in the student's own words. Over a few weeks it becomes the most valuable revision document a student owns, because it lists exactly the gaps that matter for them.

When writing an entry, be specific about the type of error:

• Concept error: did not understand why a method works, for example adding denominators when adding fractions.
• Procedure error: knew the idea but missed a step, such as forgetting to change the inequality sign when dividing by a negative number.
• Careless error: a slip in arithmetic or copying. These are worth logging too, because patterns appear, such as sign errors under time pressure.

Before a test, redo the questions from the log without looking at the answers.

Make progress visible, but measure the right thing

Motivation grows when students can see that effort is paying off. Useful signals include fewer repeated mistakes in the log, solving a type of question without looking at notes, and moving up a difficulty level. A raw count of questions completed is less useful, because it rewards speed through easy material.

Scores and rankings can motivate some learners and discourage others. Comparing a student against their own earlier attempts is usually safer than comparing them against classmates, especially for a learner who is still rebuilding confidence.

When to ask for help

If the same concept error appears in the log three or more times, more practice of the same kind is unlikely to fix it. That is the moment to go back to an earlier building block, ask a teacher to explain it differently, or look at a worked example step by step. Gaps in mathematics compound, so a short detour to fix a foundation usually saves time later.

These habits are the same ideas we design around in EasyTough, our mathematics practice platform: short activities at a suitable difficulty, immediate feedback, and progress signals that point to the next skill. They work just as well with a pencil and paper.