Stamp Game — Long Multiplication Extension

The Stamp Game scales down the hierarchy of the Golden Beads. Multiplication becomes 'the same problem four times, then exchange'. Indirect aim: place-value multiplication, the algorithm of long multiplication, smooth transition to the Checkerboard.

• Framework: Montessori
• Unit: Mathematics
• Learning area: Multiplication
• Level: Ages 6-8

Objectives

• Multiply two-digit by one-digit numbers using stamps
• Record partial products and sum
• Exchange within categories (10 green units → 1 blue ten)
• Prepare for the Checkerboard and abstract multiplication

Materials

• Stamp Game set (green 1, blue 10, red 100, green 1000 stamps)
• Problem slips
• Recording paper

Instructions

1. Write the problem: 34 × 3. 2. Place three rows of 4 green and 3 blue stamps (three copies of 34). 3. Total green: 12 — exchange 10 for a blue; 2 green remain, +1 blue. 4. Total blue: 9 + 1 = 10 — exchange 10 for 1 red; 0 blue remain, 1 red. 5. Read the product: 102. 6. Record the process: 34 × 3 = 102. 7. Verify with a different method. 8. Progress to 234 × 3 with red and blue categories.

Educator tip

The Stamp Game is often a child's first sensorial encounter with exchanging in multiplication. Don't rush past the exchanges; each one is the arithmetic point.

Assessment

Observe accurate multiple-copy layout, correct exchanges, and transfer to written recording.

More from Mathematics

• Fraction Insets — Equivalencies
• Decimal Fraction Board — First Introduction
• Squaring Chain — Passage from Linear to Squared
• Cubing Chain of 5 — Linear to Cube
• Pythagorean Theorem — Sensorial Proof
• Algebraic Peg Board — Solving Linear Equations
• Fractions — Addition with Unlike Denominators
• Fractions — Multiplication