Montessori Mathematics

Introduction the Numerals 1- 10

1. The Number Rods

2. The Sandpaper Numerals

3. The Number Rods & Cards

• Presentation 1 – show the child a rod and ask for corresponding cards

• Presentation 2 – show the child a card and ask him to fetch the rod

• Presentation 3 – Ask child to find the ‘one’ rod and prop the card against the rod

• Presentation 4 – As in P3 the child finds the ‘one’ card and then the rod

1. The Spindle Box

2. Cards and Counters

3. Number Games

Introduction of the Decimal System

The Golden Beads (the concrete)

1. Teaching the names of the power of ten

2. Counting through

3. Recognising quantities

The Large Number Cards (the abstract)

1. Teaching the written symbol of the power of ten

2. Counting through

3. Recognising quantities

4. Linking concrete & abstract

5. The bird’s eye view

6. Combining quantities & symbols

Linear Counting (11 – 99)

1. Introduction of the Short Bead stair

Understanding 11 – 19

1. Learning the names of the quantities 11-19

2. Learning the written symbols 11 – 19 using Sequin Board A

3. Combining quantities 11 – 19 using Sequin Board A

Understanding 10 – 90

1. Learning the names of the quantities 10 – 90 using Sequin Board B

2. Learning the written symbols 10 – 90 using the Sequin Board B

3. Combining quantities & written symbols 10 – 90 using the Sequin Board B

Understanding 11 – 99

1. Teaching the names of the numerals 11 – 99

Bead Chains

1. 100 Bead Chain

2. 1000 Bead Chain

Decimal System Operations

1. Addition

• Addition without changing (static addition)

• Changing games

• Addition with changing (dynamic addition)

1. Multiplication

• Multiplication without changing (static)

• Multiplication with changing (dynamic)

1. Subtraction

• Subtraction without changing(static)

• Subtraction with changing (dynamic)

1. Division

• Division without changing (static)

• Division with changing (dynamic)

• Division with remainder

Composition and decomposition of the numbers 1 – 10

1. Addition with Number Rods

2. Subtractions with Number rods

3. The snake game

Introduction to recording

1. Operation using short Bead Stair

2. Addition using the short bead stair with series card

3. Subtraction using the short bead stair with series

card

1. Multiplication using the short bead stair with series

card

Operation with Board

1. Addition board exercise 1 with table sum

2. Addition board exercise 2 (or number families)

3. Subtraction strip board with able sum

4. Multiplication board using table sum card

Individual sums

1. Using the golden beads operation

2. Stamp game