International School Maths vs. Local Curriculum Maths: What I See Teaching in Both Worlds

I teach Mandarin and Chinese Humanities at an international school. I also tutor privately, and a significant portion of my private students are local-school children whose parents contact me for supplementary academic support. My primary specialism is language. But because Chinese education formed my mathematical sensibility, and because several of my private students come specifically for maths support at their parents' request, I have spent the past decade as an attentive observer of how two quite different school systems approach the same subject.

What follows is observation, not research. I am a teacher, not an education academic. But nine years of watching children move through both systems — and tutoring the ones who are struggling in one or the other — has given me a perspective I find useful and one I have not often seen articulated clearly.

My international school students

The students I teach at school are in a full IB framework. In the primary years, mathematics is part of an inquiry-based model: concepts are introduced through investigation, children are encouraged to discover patterns, manipulative materials are used extensively, and the emphasis is on understanding why procedures work rather than drilling how to execute them.

The strengths of this approach are real and visible. My students at school tend to have strong conceptual flexibility. They can approach novel problem types without panicking. They can explain their reasoning in words. They are comfortable with estimation and approximation — with the idea that a mathematical answer can be "about right" before it is exactly right. Several of my older students show genuine mathematical curiosity, the willingness to wonder about a problem before solving it.

The weaknesses I observe are equally real. Computational fluency is often lower than I would expect. Students who can beautifully explain the concept of division sometimes struggle to execute long division reliably. Students who understand place value conceptually sometimes make basic arithmetic errors that undermine otherwise correct problem-solving. When the number work itself is effortful, the cognitive load of managing it can crowd out the strategic thinking that the inquiry approach was designed to develop.

My local-school tutoring students

The local school students I tutor privately have been formed by a different mathematical culture. The curriculum is more structured, more sequenced, and more explicitly procedural. There is more drilling. The multiplication tables are expected to be known automatically. Word problems follow recognised formats that are practised extensively. Exam performance is the explicit target.

The computational fluency I see in these students is, on average, noticeably higher than in my international school students of the same age. A local P4 student can typically calculate faster and with fewer errors than an international P4 student. The procedural repertoire — the set of methods for solving particular problem types — is more extensive and more practised.

The weaknesses I observe are complementary to the international school weaknesses. When a problem type is unfamiliar, some of these students struggle to approach it without a known method to follow. The flexibility that comes from inquiry learning — the willingness to try something, see what happens, adjust — is less consistently present. There is also, in some of these students, a relationship with mathematical error that is more anxious than I would like. Getting things wrong has higher stakes in their educational culture, and this shapes how they approach uncertainty.

The gap that creates problems in each case

For international school students who proceed to IB Mathematics (or A-levels or SATs) at secondary level: the conceptual flexibility that the primary years developed is an asset, but if the computational foundations are not secure, the more demanding content of secondary mathematics produces difficulty. Integration by parts, for example, requires not just understanding the concept but executing calculations reliably and at speed. A conceptually strong student with shaky arithmetic is at a genuine disadvantage.

For local school students who enter international university programmes or professions that require mathematical reasoning beyond examination formats: the procedural fluency is an asset, but if conceptual flexibility has not been cultivated, unfamiliar problem types can be destabilising. The engineer who can calculate quickly but struggles when the problem doesn't match a known type is a recognisable figure.

What I actually suggest to parents

The parents of my international school students who come to me worried about maths: work on computational fluency at home, separated from the inquiry culture of school. Multiplication tables, mental arithmetic games, regular practice with the four operations in simple formats. This need not undermine the conceptual work happening at school. It supplements it.

The parents of my local school students who are anxious about their children's mathematical development: look for opportunities to explore mathematics outside the examination frame. Problems without a known solution path. Mathematical puzzles where the fun is the process rather than the answer. Conversations about why a method works, not only whether it produces the right answer. These soften the rigidity that over-reliance on procedure can create.

Both of these recommendations amount to the same underlying principle: a mathematically capable student needs both fluency and flexibility. The systems, taken alone, tend to develop one at the expense of the other. The parent who understands this has a map. The task is to provide what the system leaves out.

This is, I think, a reasonable role for attentive parents to play. The systems are not going to converge anytime soon. The child sits in one of them and needs what the other one has. Someone has to notice that gap and fill it, thoughtfully and without drama, before the gap becomes a problem.