Why Teach This Early?
Number sense develops best through hands-on experience with quantities. Children who count real objects develop stronger math intuition than those who learn numbers abstractly. The ages 2-5 are critical for developing mathematical thinking.
Progressive Sub-Goals
Introduction
Counts objects to 10 with one-to-one correspondence
💡 Tip: Count everything: stairs, grapes, toys. Touch each object as you count together. This builds one-to-one correspondence - the foundation of number sense.
Developing
Counts to 20 and recognizes written numerals
💡 Tip: Point out numbers everywhere: house numbers, prices, clocks. Use number puzzles and magnetic numbers. Sing counting songs.
Mastery
Performs simple addition and subtraction with objects
💡 Tip: Use physical objects: "You have 3 grapes, I give you 2 more, how many?" Make it concrete before abstract. Use fingers for counting.
Teaching Tips
- 1Count everything in daily life: stairs, toys, snacks
- 2Use physical objects to make numbers concrete
- 3Sing counting songs and read counting books
- 4Play board games that involve counting spaces
Global Context
Singapore math curriculum emphasizes concrete-pictorial-abstract progression from early childhood. Japanese soroban (abacus) training begins at age 4. Countries with strong math outcomes start number sense development early.
Learning Resources
The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan by Amy Alznauer
View on AmazonArithmetic for Parents: A Book for Grown-Ups About Children's Mathematics by Ron Aharoni
View on AmazonRelated Skills to Explore
#11 Object Permanence
Cognitive & Strategic • Age 0 (0-12 months)
Tracks objects with eyes as they move
#12 Sensory Exploration
Cognitive & Strategic • Age 0 (0-12 months)
Explores objects with hands and mouth
#13 Cause & Effect Understanding
Cognitive & Strategic • Age 0 (0-12 months)
Accidentally discovers actions have effects
#47 Dressing
Practical Life • Ages 2-3
Puts on loose-fitting clothes with minimal help
#48 Personal Hygiene
Practical Life • Ages 2-3
Washes hands and face independently
#49 Toilet Independence
Practical Life • Ages 2-3
Recognizes need to use toilet and communicates it