Choosing a Maths tutor: university student, teacher or level specialist?

When choosing a Maths tutor, status is a clue, not a verdict. A very strong university student can be excellent with a collège student; an experienced teacher can be particularly useful for diagnosing recurring mistakes; a specialist in a given level can bring a very fine command of what a class or an exam expects. The right choice depends above all on four things: the student’s actual level, the type of block, the tutor’s mathematical command and their ability to turn that command into explanations the student can understand and then reuse alone.

Start by defining the student’s real need

Comparing CVs before defining the problem often leads to choosing on the prestige of a degree, years of experience or a well-turned introduction. Yet a student stuck on fractions in cinquième (the second year of collège), a lycée student who understands the lesson but cannot get started on an exercise, and a student in classes préparatoires (CPGE, the preparatory classes for the grandes écoles) preparing for a competitive exam do not need the same kind of support.

So start by stating the need in one sentence: “The student is at this level, is mainly stuck on this type of task, and we want to achieve this observable change.” For example: “In seconde (the first year of lycée), she knows the formulas but cannot choose which one to use in a problem” is far more useful than “she’s bad at Maths”.

The diagnosis must also distinguish a gap in knowledge, a reasoning difficulty, a problem of method and a lack of practice. These mechanisms can add up. Our article on difficulties in Maths goes deeper into this diagnosis before you compare profiles.

Once the problem has been defined, the tutor’s status becomes one criterion among others. The right question is no longer “university student or teacher?” but “which of these profiles has the most useful skills for this specific need?”.

University student, teacher or level specialist: what each profile can offer

In this article, “level specialist” does not refer to an official status: it means a tutor whose work or experience is particularly focused on one level, curriculum or type of exam. This distinction matters, because the label alone proves nothing. You always need to look at what it actually covers.

Profile	What they can offer	Situations where they may be relevant	What to check
University student	Very good command of recently studied concepts, closeness to certain ways of working, possible ability to explain in language close to the student’s.	Collège or lycée, targeted catch-up, exercises, study skills, preparing for a test, when their mathematical level clearly exceeds the level being taught.	That they do not merely know how to solve problems: they must be able to diagnose the mistake, slow down, rephrase and let the student search.
Teacher	Teaching experience, repeated exposure to students’ mistakes and knowledge of different ways of presenting a concept.	Persistent difficulties, a need to rebuild the basics, a student who has already received several explanations without understanding, structured school follow-up.	That their classroom experience transfers well to one-to-one tutoring and that they genuinely adapt the session to this student.
Level specialist	In-depth knowledge of the concepts, typical difficulties, requirements and pace specific to the level they regularly support.	Terminale (the final year of lycée) with a precise goal, classes préparatoires, higher education, competitive exams, or situations where the level’s requirements become very specific.	The reality of this specialisation: recent experience, levels actually supported, command of the concepts and teaching ability.

No row of the table is a hierarchy. A university student can be better than a teacher for a given student; a teacher can be more suitable than a highly specialised expert if the main challenge is rebuilding a simple concept; a specialist can be decisive when the level requires very particular depth or automatic skills.

Mastering Maths and being able to explain it are two different skills

This is probably the most important criterion to keep in mind. Being able to write a proof, solve a problem quickly or having completed demanding studies in mathematics does not automatically guarantee the ability to identify why a student is making a mistake.

Research in mathematics education distinguishes precisely between content knowledge and pedagogical content knowledge, that is, the knowledge used to teach a subject: understanding students’ frequent difficulties, choosing a suitable representation or finding another way to explain. A systematic review published in 2025 in ZDM – Mathematics Education, covering 237 studies, identifies in particular two recurring components: knowledge of learning difficulties and knowledge of the strategies or representations for teaching a concept.

The work of the COACTIV project points in the same direction. A study of secondary school mathematics teachers distinguishes mathematical content knowledge from pedagogical content knowledge and links the latter to student progress. This does not allow private tutors to be ranked directly — the participants studied were teachers in a school setting — but it supports an essential idea for families: academic level is not enough to judge the quality of an explanation. You can consult the COACTIV study published in ZDM – Mathematics Education.

In practice, ask less “what is your degree?” than “what do you do when a student doesn’t understand your first explanation?”. The answer often reveals more about teaching practice: changing the example, getting the student to put things into words, going back to a prerequisite, using a different representation or offering an exercise that pinpoints exactly the step where the reasoning breaks down.

The concrete criteria to compare on a profile

The degree remains useful, but as an indicator of subject mastery, not as a final mark. To compare two Maths tutors, look at several signals together.

• The levels actually taught. A profile that excels in advanced mathematics is not automatically the most relevant for rebuilding collège basics. Conversely, a goal in classes préparatoires or higher education requires sufficient command of the content concerned.
• Academic background. It lets you check that the tutor has a foundation consistent with the concepts they offer to teach. On its own, however, it says nothing about their teaching.
• Experience of the level. Ask what kinds of students and difficulties the tutor actually supports, rather than looking only at a number of years of experience.
• How they talk about the need. A serious tutor should seek to understand the level, the mistakes, the goal and the context before offering a ready-made method.
• The ability to explain their approach. They should be able to say how they check that a concept has been understood and how they respond if the student succeeds with help but then gets stuck alone.
• Possible continuity. Availability, regularity, work between sessions and follow-up should be examined if the support is to last several weeks or months.

In the NOEO tutor directory, profiles let you compare in particular subjects, declared levels, background, experience and rate. NOEO checks the application before the profile goes online; tutors declare the subjects and levels they teach. This helps you filter, but does not replace your own judgement on the fit with the student.

Another signal can complement the CV: feedback from sessions. The NOEO Assessment distinguishes in particular reviews from families, feedback after sessions and certain signals linked to keeping commitments. It should be read together with the detail available on the profile rather than as an absolute ranking of tutors.

What to check during the first sessions?

The best test of a tutor is not their title: it is what happens when the student hesitates. The first sessions should let you observe concrete behaviour.

1. The tutor looks for the source of the mistake. They do not just correct the result; they try to understand the step of reasoning that is causing the problem.
2. They know how to rephrase. If a first explanation fails, they do not simply repeat the same sentence more slowly.
3. They get the student working. A session in which the tutor solves everything can feel smooth without allowing you to check the student’s independence.
4. They check understanding. Asking the student to explain a method, redo a similar exercise or justify a step is more informative than a simple “did you understand?”.
5. They adjust what comes next. The next session should take into account the mistakes observed, the work done and what is still fragile.

On NOEO, the journey before, during and after the session makes it possible in particular to keep the documents and the session report, with the work to prepare and the follow-up elements filled in according to the session. This kind of record helps distinguish a positive impression from progress that is genuinely observable over time.

The signs that a tutor is — or is not — a good fit

A suitable tutor is not necessarily recognised by an immediate rise in marks. A test depends on many variables, and solid progress can begin with something less spectacular: the student is better at identifying what they don’t understand, starts an exercise without waiting for a hint, explains a method in their own words or repeats the same mistake less often.

Conversely, some signs should ring alarm bells: the tutor does most of the exercises in the student’s place; sessions all look the same without taking the difficulties encountered into account; they cannot explain the source of mistakes; the student always says “I understand” during the session but remains unable to redo a comparable exercise alone; or the tutor keeps using exactly the same approach despite a lack of progress.

There is no universal number of sessions after which you should change. A personality clash or a clearly insufficient level may be visible from the start. In less obvious cases, treat the first sessions as a diagnostic period: the tutor should be able to specify what is blocking, adapt their approach and show which indicators will be used to judge what follows. If these elements remain absent and the same difficulties recur with no change of strategy, changing tutor becomes reasonable.

How to compare profiles without relying only on degrees

The most effective way is to start from a concrete scenario. For a collège student who has built up gaps in algebra, a university student with a broad command of the curriculum can be an excellent choice if they know how to go back to prerequisites and get the student to put their mistakes into words. For a terminale student aiming high in the Maths specialty, regular experience of that level and its types of problem carries more weight. For a student in classes préparatoires, familiarity with the level, the depth of the concepts and the pace of work can become decisive.

The reasoning remains the same in all three cases: sufficient level + ability to diagnose + adapted explanation + consistent follow-up. The degree mainly helps document the first term of the equation. The first sessions make it possible to check the other three.

If you are hesitating between several profiles, start by comparing those who actually teach Maths at the level concerned, then read their background and experience before looking at the signals from their sessions. You can browse the tutors available on NOEO and shortlist two or three profiles that fit the student’s need. The aim is not to find the most impressive CV, but the tutor with whom the student understands better, works more on their own and knows precisely what they need to improve between two sessions.