Montessori AMI Primary Guide
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Introduction
     
Numbers through Ten
  Number Rods
  Sandpaper Numbers
  Number Rods and Cards
  Spindle Boxes
  Concept of Zero
  Cards and Counters
  Memory Game
     
Decimal System
  Introduction to quantity
  Symbols
  Formation of Numbers
  Changing
  Addition
  Multiplication
  Substraction
  Division
  Stamp Game
  Dot Game
  Word Problems
     
Linear & Skip Counting
  Teens: Quanity
  Teens: Symbol
  Teens: Association
  Linear Counting
  Skip Counting
  Number Roll
     
Tables of Arithmetic
  Addition Snake Game
  Strip Board - exercises
  Addition Strip Board
  Addition Charts
  Substraction Snake Game
  Substraction Strip Board
  Substraction Charts
  Multiplication Bead
  Multiplication Board
  Multiplication Charts
  Unit Division Board
  Division Charts
     
Passage to Abstraction
  Small Bead Frame
  Wooden Hierarchical Material
  Large Bead Frame
  Racks and Tubes
     
Fractions
  Fractions
     
     
 

Teens: Association of Quantity and Symbol (1/2)

Materials

- Presentation 1:
Two boards similar to the teen boards but with the numbers 10 – 90 printed on them.
Nine bead bars of 10
                                               
- Presentation 2:
The ten boards
A set of loose cards from 1 – 9
Nine ten bars
Ten unit beads


Presentation 1

Terminology

  • Place all the beads at the top of the mat and then lay out the cards and boards in the same way as in the Teens Presentation.
  • Read all of the numbers on the board with the child. (The child will probably say: 1 ten, 2 ten, 3 ten, etc.)
  • Give the correct names (ten, twenty, thirty, etc) three at a time in a Three Period Lesson.
  • Once the child knows the names for all of the numbers, read through them forward and then backward with the child.
  • Emphasize that most of them end in “ty”. Look with the child at the numbers that do this: 20, 30, 40, 50, 60, 70, 80, 90. Tell the child that the “ty” tells us that there is a ten in the number. “40 tells us that there are 4 tens.”
Presentation 2

Boards and Beads


Layout of the mat and materials ready to begin the presentation

association of quantity and symbol - boads and beads
    • Take out and place all of the beads onto the mat. Then place the 1 card to make 11 in the top slot.
    • Place a ten-bar and a unit next to the cards. Have the child count and say how many there are.
    • Ask if that is what the cards say. Yes.
    • Have the child add on unit. Have him count the beads. (12) Ask if that is how many the cards say. No
    • Have the child change the cards to read 12.
    • Once you have made 14, show the child that we can simply point to the ten-bar and automatically know there are ten.
    • Repeat until the child has formed 19. 
    • When you reach 20 (made by a ten bar and ten unit beads), have the child take a ten and exchange it for the ten unit beads bar to make 2 tens.
    • Ask if the cards say 20. No. Take the 9 card out of the slot and ask if there is a place that says 20 (the second slot does).
    • Have the child bring the two ten-bars down next to the second slot.
    • Add a unit next to the two ten bars.
    • Have the child count: 10, 20, 21.
    • Ask if that is what the cards say. No. Have the child add the 1 card to the 20 to make 21.
    association - boards and beads picture 2
    • Repeat in this manner until 99.

    Purpose

    Presentation 1
    To teach the names twenty, thirty, forty, etc…and to
    show the child that twenty is two tens and so for the up to ninety.

    Presentation 2
    To teach sequence, the numbers from 11 to 99.

    Control of Error
    The child’s own knowledge.


    Age
    4 1/2 years onwards



    Teens: Association of Quantity and Symbol (2/2)

    Materials

    - Two boards each divided into five compartments. In nine of these compartments, a large 10 is printed in black.
    - A set of cards, on which are printed the figures 1 to 9, which will slide into the boards, covering the ‘0’.
    - One short bead stair – 1 red, 2 green, 3 pink, 4 yellow, 5 light blue, 6 purple, 7 white, 8 brown, 9 dark blue.
    - Nine bars of 10


    Presentation

    • Have the child unroll a long mat.
    • Show the child the material and have him bring over the material. Sit at the mat so it is vertically in front of you.
    • Place the two boards in a vertical line at the top of the mat.
    • Place all of the cards, in random order, to the right of the board.
    • Have the child also take out all of the beads used in the previous exercise. (See set-up below)


    • The directress makes 11 with the board and cards.
    • Have the child create 11 with the beads to the left of the board.
    • Repeat for numbers 12-19, with the directress making the numbers with the board and cards and having the child make the same number with the bead bars.
    • Have the child take out the cards and replace the beads.
    • Ask the child to make numbers 11-19 (randomly) by first making it with the beads and then with the card.
    • Have the child replace the material.
    • Ask the child to make the numbers 11-19 in order, this time giving him no spoken guides.
    • Ask the child, as you point to each number, “What is this?”
    • Count with the child 11-19 and then 19-11.
    • Have the child replace the material.

    Purpose

    To connect quantity, name, and symbol.

    Control of Error
    The child’s own knowledge.


    Age
    4 1/2 years onwards




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