Schools teach the model method because it makes structure visible before symbols arrive, and parents who leap ahead to algebra often confuse the child mid journey. Why the sequence exists.
By Marcus Toh · 2026-07-09
The model method exists because primary problem sums are structure puzzles wearing story costumes: parts and wholes, before and after, one quantity compared to another. A bar model makes that structure visible on paper before the child has the symbolic machinery to write it as equations, and the drawing itself is the reasoning, which is exactly what the PSLE mark scheme pays for when it awards method marks for correct working.
The handover to algebra is designed, not accidental. The secondary syllabus organises content into Number and Algebra as its first strand, per SEAB's 4052 syllabus, and a child who spent primary school seeing unknowns as bars slides naturally into seeing them as x, because the bar was the x all along, drawn instead of written.
I meet the same well meaning damage every year: a parent who was good at maths teaches their P5 child to solve problem sums with simultaneous equations, and by the time the child reaches me they can follow neither the school's models nor the parent's algebra, because they were handed two languages before they could think in one. The frustration is real on both sides, and it started as love.
Here is the reassurance behind the advice: the model method is not slower maths, it is thinking made visible, and the students who draw clean models at P6 are precisely the ones who find Secondary 1 algebra almost boringly easy, because substituting a letter for a bar is a small step when the structure is already understood. So trust the sequence, ask to see the bars, and if you want to accelerate something, accelerate the narration, the child explaining their model out loud, because explanation is where understanding compounds fastest.
No specific method is mandated: the mark scheme rewards correct method shown, whatever its form, but models are the method the child has been taught for six years, so they are almost always the fastest correct working a P6 can produce under exam time.
Formal algebraic manipulation belongs to secondary school, where Number and Algebra leads the syllabus strands, and students bound for Additional Mathematics at upper secondary build from there into functions, polynomials and calculus.
Usually it signals the models were taught as decoration rather than tool: a child who sees the bars unlock answers stops resenting them, so the fix is a run of problems where the model visibly does the work, which is exactly what a good teacher or tutor stages deliberately.