Montessori math materials provide concrete ideas of math basics and the activities that use these materials have diverse educational functions. This materials support children in learning the logical foundations of math.

Montessori philosophy of education was introduced by an Italian physician Maria Montessori. The Montessori teaching technique is based on the self-oriented independent activities of the children. There are several academic materials in this education methodology. Mathematical concepts have particular space for Montessori material and these materials help the children in constructing the mathematical approach.

Here we highlight the 10 Montessori materials focusing on math concepts. This article will discuss the dual purpose of information based academic activities relating to the ideas of mathematics.

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**Building Concepts Through Montessori Math Materials **

Math is a science of natural science concepts. On the Montessori level, it is hard teaching these concepts to the kids. For the concrete study of mathematical concepts to the Montessori students, we require various study materials. A broad scope of math materials improves the thinking process in the tiny minds of early childhood. Abstract concepts built on concrete vision solidify the capacity of the concepts. Thus the math materials play a vital role in making the base of mathematical orientation.

These Montessori math materials support the Montessori teachers to build a strong foundation of math in the minds of their students. Hence Montessori math materials are necessary tools of learning math at an early age. Following pattern builds concepts through Montessori math materials:

- Montessori Materials bring in Activities
- Activities provide the basis for Concrete Display
- Concrete display make easy to understand Thinking Process
- Thinking process constructs Math Concepts
- Math Concepts help improving Intelligence of Kids

**Top 10 Montessori Math Materials for Early Childhood**

The following are the best 10 Montessori math materials:

**1. Sandpaper Numbers**

**Materials:** Ten green boards displaying numbers from 0 to 9, Scissors, glue, table etc.

**Core Purpose:** To teach students the symbols of numbers and to make them capable of identifying each number with ease and ability

**Activity Steps:** Here are the basic steps to execute the activity with sandpaper numbers:

- Call a student to work under guidance on the mathematical materials
- Place the sandpaper numbers on the table for identification and put the card box on workplace
- Keeping sandpaper numbers in order, remove the first three numbers and arrange them inverted on another corner
- Take up the first inverted card and draw the number while calling the number aloud. To the student on turn
- Then place the card left and repeat the procedure steps with the other cards to ensure the student for tracing the number
- Once the process is complete, set up the numbers to put back in the shelf
- Repeat the same procedure for the following three numbers and keep it continue for the last four numbers

**2. Spindle Boxes**

** Materials:** Two medium size wooden boxes, each box has five partitions, number cards, some colour threads to attach numbers

** Core Purpose:** Practicing counting, order assortment techniques of the numbers

** Activity Steps:** Following are the basic steps of using such math material:

- Divide the Montessori class students into two groups
- Handle over one box to each group
- Give various number cards to the groups
- Say them to put number cards in the partitions with some order
- Write some numbers on the board
- Ask the students to pick out the cards of such numbers
- Order the students to bring two or three cards equal to a sum
- Inquire the students to get two or three cards equivalent to a sum
- Manage such activities multiple times

**3. Beads Stair**

** Materials:** Beads of different colors, metallic wires for holding beads, tables, stands and papers etc.

** Core Purpose:** To teach arithmetic functions to the kids with ease and interest on focusing the activity-based learning

** Activity Steps:** Manage the beads stair game with the following core steps to adopt:

- Erect the beads on wires with different amount
- Tell the students to count beads on each metallic wire
- Put off the beads from one wire and add to the other wire
- Now kids will count the collected beads loudly
- This helps the kids in learning the addition
- Repeat the activity by emptying a wire from half of its beads
- This will teach them the subtraction process
- Put on the same number of beads in three wires
- Then replace the beads from the other two wires on a single wire
- This will teach the concept of multiplication
- Distribute the counted number of beads from one wire onto another equally
- This step will guide the children about division

**4. Hundred Board**

** Materials:** A board with hundred numbers engraved on it, forks to put out the numbers, extra numbers to put on in change, extra empty boards etc.

** Core Purpose:** To increase the interest of little students in math works through splendid activity of number board

** Activity Steps:** Following interesting procedure supports the children in performing this Montessori math activity:

- First of all color the chosen numbers on the board
- Cover the remaining numbers with flat cloth or paper
- Divide the board area in four regions for counting basics
- Help the kids to recognize even and odd numbers from each region
- Add the selected odd numbers to show an even number
- Teach the students to place different numbers in their natural order
- Try to locate that subtraction of odd numbers is also an even number
- Skip a number from the board and then ask the kids about that missing number
- Build up large numbers with small numbers of the hundred board

**5. Stamps Game**

** Materials:** Stamps, draw boxes, Markers, paper sheets etc.

** Core Purpose:** To build up the math activities through drawing of stamps for kids at an early age

** Activity Steps: **This stamp game for math Montessori learning has following core steps:

- Select three to four kids for the activity
- Give stamp box, markers and papers for writing the numbers to each student
- Ask one student to draw a stamp from the box and write its number on the paper
- Repeat the procedure with rest of the students in the same way
- Then repeat the drawing process with each student twice or thrice
- As the students complete their tasks, order them to add the written numbers
- Check the addition results of each student for accuracy
- After that guide the students to perform multiplication withdrawn stamps
- The activity also helps the students to learn subtraction or division

**6. Number Rods**

** Materials:** Smooth rods, various colors markers, rulers, small rubber bands etc.

** Core Purpose:** To make the Montessori students aware of the secondary math concepts like ratios or proportions

** Activity Steps:** This Montessori math game has following key steps to perform:

- Stand in front of the class with all materials arranged on a table
- Take a rod yourself and divide it into half and one third etc. by measuring with a ruler
- Do the same activity with another rod of the same length
- Tie up rubber band over the rods to separate into parts
- Shade each part in a different color for a proper recognition
- Tell the students that each part is a ratio to the whole rod
- Make them identify proportions of same color of a rod to the other rod
- Select four to five students of the class
- Hand over rods, markers, rubber bands and papers to each student
- Ask the students to repeat the actions you already performed
- Help the students in knowing different ratios and proportions with different rods

**7. Arithmetic Board**

** Materials:** Arithmetic board with all of its accessories, tokens, cards etc.

** Core Purpose:** to make simple arithmetic functions ease and evident for students of Montessori level

** Activity Steps:** Here we give the core procedure for arithmetic board activity:

- Start the activity with the youngest student at first and then the next in succession
- Put up a token and place it at the run up point of arithmetic board
- The first student takes a symbol card and a pair of number cards
- The numbers that the student draws are the activity numbers of the equation
- Ask the student to insert the symbol in between the two numbers equation
- Now call another student to solve the equation
- Get check the answer for accuracy from another student
- If the answer is wrong, the student will repeat thethe process with more numbers
- If the answer proves true then call the next student for performance
- The student that finishes the activity in the least time wins the game

**8. Bead Trays**

** Materials:** Beads of different colors and different sizes, five to six medium size trays, pencils, papers etc.

** Core Purpose:** To educate the children about necessary math activities with simple things in an exciting play mode

** Activity Steps:** To execute this Montessori grade math activity, kids perform the following steps:

- Take a bead tray and display it in front of the whole class on a table
- Place two empty trays on each side of the bead tray
- Call two students and let them separate the large size and small size beads
- One student picks small size beads and other one the large size beads
- In this way, both the students gather twenty to thirty beads in their trees
- By this, the students learn the concepts of greater and smaller
- Then ask two more students to come forward and arrange another tray on the table
- Say to first student to choose large beads of the same color up to a certain number
- Then allow the other student to pick the small size beads of the same color
- After that count the total beads to display addition process
- Repeat and modify the same procedure for subtraction, multiplication and division

**9. Place Value Mat**

** Materials:** Pace value mats, tracing papers, number cards, carbon pencils and papers etc.

** Core Purpose:** To provide the children an opportunity to add or subtract numbers with an ease of mind through place value recognition

** Activity Steps:** Following is the most used procedure for executing this activity

- Hand over place value mats to three to four students at a time
- Help them to create a number by placing cards in the place value box
- Let you try to get create number 7654 using place value technique
- Start at the first column of mat from left and hop to 7 and call it 7 thousand
- Then go to next column and hop to 6 while call you it as 6 hundred
- After that move to the other column and hop for 5 tens
- In the end, you reach the fourth column from left and hop to 5 units
- This creates a number containing five figures
- On to the next turn, produce another number in following the same steps
- Further more, add the two number with concerning place values
- Guide the kids to trace the answer in the related place value boxes
- In the final try, repeat the steps for subtraction process

**10. Circle of Operations**

** Materials:** A large circle of operations, drawing board, revolving apparatus etc.

** Core Purpose:** To make the students aware of the arithmetic operations through circle of operations with motives of interest and quest

** Activity Steps:** Here we enlist the activity steps in the line of math Montessori learning:

- Fix the circle of operations on the drawing board with the help of a revolving operation
- The circle of operations must contain five split round strips
- These round strips appear numbers, operations, numbers, equalities and results
- The order of circular rings appear from inside out
- Call a student to come forward to execute the activity
- Guide the student to choose a number on the innermost ring
- Then help him/her in selecting an arithmetic operation on the second ring
- The third ring will automatically place an equal sign
- Finally, ask the student to bring the answer number on the outermost ring in front of the equal sign
- If the answer is correct, then applause the student; otherwise guide for the exact answer
- Afterwards, the other students will perform the activity in the above order

**Conclusion:**

This article provides you with the top 10 Montessori math materials and concepts. These materials have the diversity of display and power of learning math-related concepts. Various categories of the materials assist the kids on multiple dimensions of learning math concepts.

Here the math concepts make use of concrete presentation of abstract ideas. The procedures and uses of the materials show natural sequences of easy to difficult schemes of thoughts. These ten important math materials possess some wide and visual trails of understanding. The children learn a lot of math-related concepts through these simple things. In short, this article presents the Montessori math materials for some easy and interesting study schemes for the children.