Mathematics is the number one reason expat children fail the Jeanine Manuel entry tests. Not French. Not English. Mathematics. This fact surprises most families, especially those whose children perform well in math at their current schools. But the issue is not whether a student is "good at math." The issue is that what counts as "doing math" varies dramatically from one educational system to another, and the French system -- which is the reference framework for EJM's tests -- operates on principles that are fundamentally different from what most international students have been trained in.
Having worked with over 1,600 students across virtually every major educational system, I have seen this collision play out hundreds of times. The pattern is consistent: a bright, capable student walks into the math test confident, encounters problems that look superficially familiar, begins solving them the way they have always solved math problems -- and fails. Not because they lack intelligence or knowledge, but because they lack the methodology the test demands.
The philosophical divide: proof versus procedure
To understand the math gap, you must understand a philosophical difference that runs deep in how different countries teach mathematics.
In the French system, mathematics is a discipline of demonstration. The central act of doing math is not computing an answer. It is constructing a proof. From college (middle school) onward, French students are trained to approach every problem as an exercise in logical argumentation. They must state their hypotheses, identify applicable theorems by name, build a chain of justified reasoning, and arrive at a conclusion that is the logical consequence of the preceding steps. The answer itself is almost secondary. What matters is the proof.
This philosophy produces a very specific kind of mathematical writing. A French math paper looks like a structured argument. Each line follows from the previous one. Transitional words ("donc," "or," "d'ou," "ainsi") signal the logical connections. Theorems are cited explicitly: "D'apres le theoreme de Pythagore..." or "En appliquant le theoreme de Thales..." The student demonstrates not just that they can solve the problem, but that they understand why each step works.
How other systems teach math differently
The American approach: procedural fluency
American math education, particularly at the middle and high school level, emphasizes procedural fluency. Students learn algorithms: steps to follow to get answers. Factor this polynomial. Solve this equation. Find the value of x. The focus is on getting the right answer efficiently. Proofs exist in the curriculum (typically in a geometry course), but they are one unit among many, not the foundational methodology that pervades every topic.
The result: American-educated students can often solve the same problems as their French counterparts, but they cannot explain why their solution works in the structured, rigorous format the French system demands. They arrive at the right answer via intuition and pattern recognition. On a French test, where the proof is worth more than the answer, this approach leaves them exposed.
The IB/MYP approach: conceptual understanding with technological support
The International Baccalaureate, particularly through the Middle Years Programme, emphasizes conceptual understanding. Students explore mathematical ideas, make connections between topics, and develop inquiry-based thinking. In principle, this is excellent mathematics education.
The problem for EJM applicants is twofold. First, the IB permits -- and often encourages -- calculator use, including graphing calculators. Students develop a dependency on technology for operations that French students perform mentally. Second, the IB does not train students in the formal proof structures that the French system considers fundamental. A student can develop deep conceptual understanding in the IB and still be unable to write a French-style demonstration.
The British approach: formula application and pattern recognition
The British system (GCSE and A-Level) trains students to apply formulas to problems. Mathematics is structured around topic areas -- algebra, geometry, statistics, number -- with an emphasis on efficient problem-solving. The exam format is typically short-answer questions, sometimes with a few marks allocated for "showing working."
But "showing working" in the British system means something very different from "writing a proof" in the French system. A British student's working might show three lines of calculation. A French student's proof for the same problem might fill half a page, with explicit citations of properties and theorems at every step. The expectations are not comparable.
Concrete examples: where the gap becomes visible
Geometric proofs
Consider a classic problem: proving that two triangles are similar. An American or British student might identify the similarity visually, note the equal angles, and state the conclusion. A French student is expected to:
- State the configuration: "Let ABC and DEF be two triangles such that..."
- Identify the relevant property: "We will show that the triangles are similar by demonstrating that their corresponding angles are equal."
- Calculate or prove each angle equality explicitly, citing the theorems used (alternate interior angles, properties of parallel lines, etc.)
- Apply the similarity criterion by name: "D'apres le critere AA de similitude des triangles..."
- State the conclusion: "Donc les triangles ABC et DEF sont semblables."
An international student who writes "the triangles are similar because the angles are equal" has given the right answer. On a French test, they receive minimal credit because they have not demonstrated why the angles are equal or which criterion of similarity they are applying.
Algebraic identities
French math curricula place heavy emphasis on algebraic identities (identites remarquables): (a+b)^2 = a^2 + 2ab + b^2, (a-b)^2 = a^2 - 2ab + b^2, (a+b)(a-b) = a^2 - b^2. Students must recognize these patterns instantly and apply them in both directions (expansion and factoring). They must also cite which identity they are using.
In many international curricula, these identities are covered but not drilled with the same intensity. Students may know them in principle but struggle to recognize them quickly in disguised forms. On a timed EJM test with no calculator, this fluency gap translates directly into lost points and lost time.
Function study
The French approach to functions is highly formalized. By the end of 3eme (roughly 9th grade), French students are expected to study a function systematically: determine its domain, calculate its derivative (in later years), study its variations, complete a "tableau de variations" (variation table), and interpret the results graphically. This structured methodology for analyzing functions is specific to the French curriculum and largely absent from other systems at equivalent age levels.
An international student entering Seconde at EJM will be expected to handle functions with this level of formalism. If they have been trained in a system that treats functions more intuitively -- plotting them on a graphing calculator, reading off values, sketching approximate graphs -- the gap is significant.
The EJM test format: no hiding places
The format of EJM's math test amplifies every one of these gaps. There are no multiple-choice questions. Every problem requires a written response. Every step must be justified. Partial credit exists, but only for correct reasoning, not for correct answers arrived at through unclear methods.
The test is calculator-free. For a student who has spent years relying on a TI-84 or a Casio for basic arithmetic, this is a genuine shock. Operations with fractions, mental arithmetic with larger numbers, square root estimations, trigonometric values from memory -- all of this must be done by hand, quickly and accurately.
Time pressure is real. The test is designed to be completable, but only for students who work with fluency and efficiency. A student who must stop and think about how to format their proof, or who second-guesses their mental arithmetic, will not finish. And an incomplete paper, regardless of how strong the completed sections are, will score lower than a complete paper with minor errors.
The EJM math test does not ask "can you do math?" It asks "can you do math the French way, by hand, under pressure, with every step justified?" For most international students, the honest answer is: not yet.
The 3-6 month bridging plan
The math gap is real, but it is bridgeable. With systematic preparation over 3 to 6 months, most capable students can learn to perform mathematics to the French standard. Here is how.
Month 1: Diagnostic and methodology foundation
Begin with a precise assessment of where the student stands against the French curriculum. Identify specific content gaps (topics not yet covered) and methodology gaps (topics known but not presentable in French format). Simultaneously, begin training the student in French mathematical writing conventions: how to structure a proof, how to cite theorems, how to use transition words, how to present calculations vertically.
Month 2: Content remediation
Address the specific content gaps identified in the diagnostic. For most international students, this means intensive work on: algebraic identities and factoring techniques, geometric theorems and their formal statements, function study methodology, and basic trigonometry (without calculator). Every exercise must be completed in French mathematical format, not just solved.
Month 3: Integration and speed
The student now has the knowledge and the methodology. The challenge is performing under time pressure. This month focuses on timed exercises that progressively build speed. The student learns to allocate time across problems, to recognize when to move on, and to maintain proof quality even when pressed for time.
Months 4-6 (if available): Simulations and refinement
Full-length practice tests under exam conditions. Each test is debriefed in detail: what went wrong, why, and what the correction is. Error patterns are tracked across simulations. If the student consistently loses points on geometry proofs, that area receives additional targeted work. If mental arithmetic is slowing them down, drill sessions are intensified.
The additional months also provide a buffer for the unexpected. Some students hit a plateau in month 3 and need extra time to push through. Others discover a gap that was not initially apparent. Having six months instead of three means the preparation can absorb these setbacks without compromising the final result.
What parents need to understand
The math gap is not a reflection of your child's intelligence or potential. It is a reflection of curricular divergence. A student who excels in math at an American school in London, a British school in Singapore, or an IB school in Dubai is not "bad at math." They have simply been trained in a different tradition. The French tradition demands something specific -- structured proof, formal rigor, calculator-free computation -- and that specificity requires specific preparation.
The worst thing a family can do is assume that because their child is strong in math, they do not need preparation. This assumption is responsible for more failed EJM tests than any other single factor. The second worst thing is to start preparing too late. Three months is the minimum. Six months is prudent. Less than three months is a gamble, and at a 10-15% baseline admission rate, gambling is not a strategy.
For a complete breakdown of all three tests (math, French, and English), see our comprehensive entry test guide. For the step-by-step preparation methodology, read how to prepare for the Jeanine Manuel entry test. And for broader strategies to strengthen every aspect of a Jeanine Manuel application, see our article on maximizing your chances of admission.