Preschool · Ages 3 to 6

Foundational Numeracy & Heuristic Thinking

Strong number sense and early problem-solving — counting, number bonds, bar-model foundations and abacus strategies, at a 1:3 ratio.

What does the preschool maths programme cover?

Counting and number sense
Counting, reading and writing numbers from 1 to 100
Number bonds
How numbers break apart and combine — the root of mental maths
Addition and subtraction
Concrete, then pictorial, then abstract
Early bar-model concepts
The first steps of the model method used right through PSLE
Abacus strategies
Mental calculation techniques for speed and confidence
Shapes, patterns and comparing
Sorting, ordering and spotting what comes next

A look inside our preschool maths materials

Every child works through our own printed booklets and our in-house learning apps — all written and built here, and used in class. Browse a few real samples below (tap any page to see it full size).

Number Fun app: count the three dogs shown, then tap the matching number from four choices
Counting · Count & Match — children count what they see, then tap the number. The picture comes first and the symbol second, which is how number sense is actually built. From our Number Fun app.
Number Fun app: the numeral 3 is shown and the child taps letter tiles to spell the word three
Number words · Spell the Number — the numeral is shown and heard, and the child builds the word from letter tiles. Numeral, sound and spelling are learnt together rather than separately.
Printed tracing worksheet for 30 thirty and 40 forty with dotted numerals and base-ten rods
Writing numbers · Tracing to 100 — dotted numerals for correct formation, with the number word and base-ten rods alongside, so a child sees what “forty” is made of while learning to write it.
Printed number bonds worksheet: six part-whole circles for the number 8 with matching addition and subtraction sentences
Number bonds · Making 8 — each part-whole circle is paired with its addition and subtraction sentences, so children meet the two as one idea. This is the groundwork for bar models in Primary 1.
Printed worksheet: six two-digit addition sums set out in tens and ones columns with space to show working
Showing working · Tens and ones — sums are set out in columns from the start. Getting the answer matters less here than laying the working out properly, which is what Primary maths marks.
Position Finder app: six animals in a row with one highlighted, asking its position counted from the right
Ordinal numbers · Position Finder — counting from the right, not just the left, so position is understood rather than recited. From our Ordinal Numbers app.
Length Explorer app: a feather spanning 5 cm to 8 cm on a centimetre ruler, with the subtraction 8 minus 5 shown
Measuring · Reading a ruler — the object does not start at zero, so the child must subtract. The working is shown on screen. From our Length Explorer app.
Preschool maths worksheet: a bar graph of cats, dogs and ants with five questions asking how many of each and which has the most and the fewest
Reading data · Bar graphs — children read the value straight off each bar, then compare them: which has the most, which the fewest. Counting and comparing in one task, and the first step towards the graphs and tables of Primary maths.
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Common questions from parents

What is 'heuristic thinking', and why start it at preschool?

Heuristics are problem-solving strategies — drawing a picture, working step by step, spotting a pattern. Introducing them early matters because Singapore Primary maths is built around problem sums, not bare sums. A child taught to reason from age 4, rather than only to memorise, finds P1 word problems familiar instead of frightening.

How does Next Level Enrichment build number sense?

Through hands-on materials, visual models and games rather than worksheets alone, so numbers mean something concrete before they become symbols. At our 1:3 ratio, each child is assessed for genuine mastery before moving on — a child who has merely memorised the answer is easy to spot in a group of three, and impossible to spot in a class of twenty.

Is your programme aligned to MOE?

Yes — and beyond, for children who are able to learn faster. The MOE syllabus is our floor, not our ceiling: our preschool programmes do not cap a child's progress to match the rest of the group, and we do not sweep a struggling area under the carpet either. Every child is unique, so every child is individually coached, and we regularly update you on your child's progress.

Learning beyond the classroom

Your child can practise free at home with games aligned to the same MOE foundations we teach — all free, no sign-up.

Last updated: 2026-07-14. Syllabus coverage follows the Singapore MOE syllabuses.

Book a trial lesson at our Ang Mo Kio centre

Next Level Enrichment, Blk 709 Ang Mo Kio Ave 8, #02-2593, Singapore 560709. Message us and we will tell you honestly whether this programme is the right fit for your child.