MATHS ADVANCE BLOG

For many parents, hiring a tutor feels like a sensible way to support progress in maths. Extra time, individual attention, and expert guidance all sound unambiguously positive. Yet the impact varies enormously, and the often quoted two-sigma effect of individual tuition is a significant simplification of a more complex reality. 

What is at least as important as the quantity of tuition is how the time is used. A helpful way to think about tutoring is as something that changes what a pupil is able to do during their lessons in school. From that perspective, the role of a tutor looks quite different depending on the learner. In this post I will focus on tuition for high-attaining learners.

For pupils who are already confident and successful in maths, tutoring is often used to accelerate through the curriculum. In practice, however, this is rarely necessary, and the benefits are often lost due to future lesson time being less productive.

I am fortunate to teach classes significantly above average attainment. These pupils do not require pre-exposure to understand concepts on first explanation: they are perfectly capable of hitting the ground running. Some of these learners, however, have tutors who have already been through content them before it has been taught by me. For the teacher, however, this creates a lack of certainty about the level of competence of the learner. Has the tutor covered all aspects of this topic with the learner? Have they extended beyond learning how to solve quadratic equations by factorisation into solving with use of the formula which is often taught later?

There is a risk that the teacher, lacking clear information about the learner’s level of understanding, provides work that is either too easy or too difficult. In my opinion, accelerated tuition for high-attaining learners could often be called lazy tuition. What these tutors should be doing is working behind the teacher, ensuring all details have been understood, and providing opportunities for enrichment and stretch and challenge which lessons may not be able to accommodate. This content is more difficult to provide, however, so if your child is receiving enrichment and stretch and challenge your tutor is almost certainly worth their fee. 

The key point is that for high-attaining learners, the limiting factor is rarely pace: it is depth. These pupils benefit far more from opportunities to explore ideas, make connections, and tackle problems that do not immediately yield to familiar methods.

There is, however, a caveat. Some pupils are genuinely self-motivated, reflective learners who enjoy independent progression and are able to connect ideas for themselves. In such cases, limited acceleration can be productive, but it works precisely because the pupil, not the tutor, is doing the intellectual work.

For parents of high-attaining learners, it is worth looking beyond visible markers of progress such as speed or curriculum coverage. A more revealing question is whether tutoring is helping a child engage more thoughtfully and confidently in lessons, or simply reducing the intellectual demand placed on them. In many cases, depth rather than acceleration is what sustains both progress and enjoyment in mathematics.