Curriculum / subject
Conceptual Mathematics
Ages 6 to 10Academic Core
Mathematics where the child understands why before drilling how: multiplication as arrays, fractions as fair shares, measurement with real tools.
What this subject teaches
Child explains multiplication using objects or drawings, solves two-step word problems from daily life, and measures length and weight with real instruments.
Real-world applications
Shopping and budgeting, cooking measurements, building and making things, and every quantitative field from trade to engineering.
Modules
Multiplication You Can Touch
The child builds multiplication from repeated groups and arrays using bottle caps, discovering that 3 x 4 and 4 x 3 make the same rectangle.
Fair Shares: Fractions on the Plate
Fractions begin as fairness: halves, quarters, and thirds discovered by sharing real food and objects equally.
Measuring the House
The child measures real things with hands, feet, string, and then rulers, discovering why the world needed standard units.
Shop Math: Word Problems from Real Life
Two-step word problems built from the family's actual shopping, so mathematics is a tool for daily life rather than a worksheet trap.
Books and training material
Recommended books and material: - Maths on the Back of an Envelope by Rob Eastaway (any edition, widely available online) - Khan Academy Arithmetic course (free, khanacademy.org) - Locally: any Oxford Countdown level 2 or 3 as practice support, roughly 500 to 800 PKR at Urdu Bazaar or online book sellers