Math is logic, sequence, order, and the extrapolation of truth. In the Montessori philosophy it's stated that

It is the

The exercises in the math area offer the children the 'keys' that they will need to send them on the road to further exploration and maturation of the mathematical mind. The ways in which the

Math in the primary classroom is made up of many little details that form a whole, but each detail is complete unto itself. All

The Decimal System introduces the child to the bead
materials and the associated cards for each category. The child learns
that zero can give a greater value to a number, and he also learns the
language of the larger numbers. The Collective Exercises show the child
how to change (10 units/ones changes for 1 ten), and gives the child a
sensorial impression of addition, multiplication, subtraction, division,
and the relationship between the operations.

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The section on Teens and Tens parallels the work
with Association of Beads and Cards. The child learns to associate
quantities, names, and symbols of the teens and tens. As well, the child
is introduced to the colors of each individual bead bar which is
important for future exercises. This section finishes off by
consolidating the child's knowledge when he works on the linear and skip
counting of the square and cube chains from the bead cabinet.

The Exploration and Memorization of Tables

This
section focuses on the exploration and memorization of addition,
subtraction, multiplication, and division tables. The tables that the
children learn are limited in the fact that any given category of a
question is not above the number nine. The materials in this area give
the child the opportunity to explore essential number combinations for
each mathematical operation and continue to move the child towards less
concrete materials.

These
materials allow the child to re-examine all the concepts he has already
learned. The child begins to realize that the materials hinder his
efficiency and that he no longer requires the materials to do the
operations. When the child reaches this point, he can now think
abstractly.

**Fractions**

The last section of the math area introduces the child to fractions and has the child explore the materials in order to discover the rules of each fraction operation.

The last section of the math area introduces the child to fractions and has the child explore the materials in order to discover the rules of each fraction operation.

If you are
homeschooling your child and wish to have a little more theory,
step-by-step
direction on the presentation, and suggested age of when to present the
Montessori Math materials you can purchase our Math Teaching Manual.

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**Numbers to Ten**

**
Decimal System**

**
**

**
Teens and Tens**

**The Exploration and Memorization of Tables**

**
Transitional
Materials**

**Fractions**

- Number Rods
- Sandpaper Numbers
- Number Rods and Cards
- Spindle Boxes
- Numbers and counters
- Memory Game of Numbers

- Presentation with Beads
- Presentation with Cards
- Association of Beads and Cards
- Formation of Complex Numbers with Beads
- Changing Exercise - Bank Game
- Addition - Collective Exercise
- Multiplication - Collective Exercise
- Subtraction - Collective Exercise
- Short Division - Collective Exercise
- Long Division with Bows - Collective Exercise
- The Stamp Game - Addition
- The Stamp Game - Multiplication
- The Stamp Game - Subtraction
- The Stamp Game - Division
- The Dot Game

- 11 to 19 Beads Only
- Teen Boards
- Teen Boards and Beads
- Ten Boards and Beads
- Linear Counting 100 to 1000 Chains
- Skip Counting

- Snake Game - Addition
- Addition Strip Board with Charts #1 and #2
- Addition Work Chart #3
- Addition Work Chart #4
- Addition Work Chart $5
- Addition Work Chart #6
- Negative Snake Game - Subtraction
- Negative Strip Board with Subtraction Chart #1
- Subtraction Work Chart #2
- Subtraction Work Chart #3
- Multiplication with bead Bars
- Multiplication Board with Control Charts #1 and #2
- Multiplication Work Chart #3
- Multiplication Work Chart #4
- Multiplication Work Chart #5
- Unit Division Board
- Division Charts #1 and #2

- Small Bead Frame
- Large Bead Frame
- Short & Long Division with Racks & Tubes

- Introduction to Fractions
- Addition of Fractions
- Subtraction of Fractions
- Multiplication of Fractions
- Division of Fractions