The Method
Five founding principles govern every engagement.
A method is not a catalogue of tricks. It is the patient order in which one learns to learn — the sequence by which a mind, lesson after lesson, comes to inhabit its own instruments.
Diagnostic and personal plan
An initial interview, a written assessment, an individual programme. No two pupils are treated alike.
Every engagement begins with a precise mapping of strengths and weaknesses. This first session, complimentary and without obligation, lasts between thirty minutes and one hour, and gives rise to a written summary delivered to parents before any formal commitment. The document records the firm ground, the blind spots, the working habits, and the measured gap between the present level and the stated objective.
The diagnostic determines everything that follows. To dust general support over the syllabus, without first identifying the origin of errors, is to treat symptoms without ever opening the right book. A blueprint always outperforms a succession of indistinct lessons; it allows efforts to be sequenced, battles to be chosen, and the pupil's time to be invested where the return is greatest.
The written plan sets out the termly milestones, the competencies to be acquired, the reference texts, the rhythm of sessions and the modalities of assessment. It is revisable at any time, but its very existence already changes the nature of the collaboration: the pupil knows what is expected of him, and the parents have a compass.
« Know thyself » — inscribed at the entrance to the temple at Delphi.
Mastery of fundamentals
A refusal of exercise drills without theoretical grounding. Theorems, proofs and structuring concepts are worked through to deep integration, beyond mere memorisation.
How many pupils fail in classes préparatoires because they have never, in their lives, proven the convergence of a geometric series. How many arrive in MPSI without knowing what a ring is, nor why the commutativity of multiplication is no universal given. The foundation supports the entire edifice; a Terminale syllabus skimmed too quickly produces a painful first preparatory year, and a poor first year makes the second unbearable.
In the Méthode Riviera, we return without embarrassment to the definitions, replay the proofs, and draw the figures by hand until the mathematical object ceases to be a word and becomes an intuition. This sometimes seems slow. It is, in truth, the most profitable investment a scientific pupil will ever make.
The same rigour governs physics — truly understanding what a field is, what a dimension is, what a conserved quantity is — and computer science, in which the mechanics of data structures must always precede the mastery of algorithms.
« Festina lente » — Make haste, slowly.
Architecture of reasoning
Explicit teaching of mental schemas, classical heuristics, and the argumentative structures proper to each scientific discipline. The pupil learns to recognise the nature of a problem before seeking its solution.
A strong mathematician is not the one who knows more theorems than others: it is the one who recognises, within a few seconds, the pattern of an exercise. When one has watched hundreds of examination papers go past, one ceases to see them as a collection of riddles; one sees them as variations of some twenty deep structures. It is this meta-competence that distinguishes the top of the class.
It is a competence that can be transmitted. It is not acquired by solitary practice alone. It is transmitted by a teacher who names what he is doing as he does it — who says aloud, "here I recognise a linear differential equation with non-constant coefficients, so I write the general form and then look for a particular solution by variation of the constant" — rather than writing the answer in silence on the board.
The pupil who has spent a year hearing reasoning made explicit eventually appropriates it. It is this passage from conscious imitation to spontaneous mastery that makes all the difference in front of an examination paper.
« One does not think in words; one thinks in structures. »
Deliberate practice
Graded exercises, corrected one by one with rigour. The keeping of a written register of recurring errors, transforming each identified weakness into a point of systematic attention.
Deliberate practice — long studied by Anders Ericsson — has nothing to do with the mere repetition of exercises. It assumes a difficulty pitched just above the present level, immediate feedback on the quality of the reasoning, and focused attention during short but dense sessions. It is the opposite of the pupil who "does past papers for two hours" while drifting on his telephone every six minutes.
In the Méthode Riviera, every exercise is selected, dated, corrected. Errors are not merely flagged: they are recorded in a register kept by the pupil himself, which becomes, after a few months, the most valuable document of his year. This register turns the same error, encountered repeatedly, into a personal point of vigilance — which in turn will eventually disappear, replaced by others.
The work is measured, its quality privileged over its quantity. One exercise well done is worth ten exercises rushed.
« Pluribus minus est melius » — Less, but better done.
Examination preparation
Examination strategy, time management, oral performance, mental hygiene. The entrance examinations to the elite scientific programmes are disciplines in their own right, to be worked with the same method as the syllabuses themselves.
A competition paper is a piece of work — short, legible, well-tended — addressed to an examiner who will read two hundred others before yours. It is to be cultivated as such: the choice of questions, the ordering of answers, the economy of writing, the highlighting of results, the cleanliness of figures. Many brilliant pupils lose ten marks for want of having understood this dimension.
The oral is a performance. There is a posture, a voice, a speed of speech, a way of taking the chalk and tracing the axes of a coordinate system. The orals of the ENS and Polytechnique demand bodily mastery as much as mathematical mastery. This is to be worked on — and worked on early, from the end of the first preparatory year for the strongest pupils.
Mental hygiene, finally, is to be worked on as one trains an athlete on the eve of competition. Sleep, nutrition, time management, anticipation of fatigue, pre-examination rituals. The Méthode Riviera covers this dimension entirely; it considers that a sound preparation is also, and perhaps above all, an education in oneself.
« Mens sana in corpore sano » — A sound mind in a sound body.
See how the method applies to your child.
The initial educational assessment is a thirty-minute interview, complimentary and without commitment. It is the only way to know whether the engagement makes sense.