Montessori Approach to Mathematics

1. Mathematics
DMT 107
INTRODUCTION

2. Do we need Mathematics?..

3. Mathematics in the Nature

4. Mathematics in the Nature

5. Mathematics in the Nature
• Ability to estimate (weight, height, distance
etc.)
• Analysis of coherencies, dependences,
differences
• Perception of limits in the environment
• Sense of time
• Music
• Every day's activities

6. ACHIEVEMENTS
OF HUMAN’S CULTURE

7. ???

8. When to start learning
Mathematics?...

9. The Montessori Way to
Mathematics
 Child’s natural abilities:
- sensitivity for order
- sensitivity for precision
- necessity for knowledge of causality
- need to discoveries, experiments & exploration
- aspiration for cognition

10. The Montessori Way to
Mathematics
 Practical Life Exercises – development of
order, independence, eye-hand
coordination, concentration, capacity
concept, internalisation of new notions

11. The Montessori Way to
Mathematics
 Sensorial Education – experiences,
measurements, gradation, identify, finding
a rhythm, development of perception of
dimension, preparation for: Decimal
System and Linear Counting, Geometry,
Algebra

12. Before we start to teach…
To develop a child’s natural ability to learn
mathematical concepts, it is necessary to
remember about basic rights of
development:
 Absorbent Mind
 Freedom
 Sensitive Periods
 Prepared Environment

13. Before we start to teach…
Make sure, if the child is ready to:
 explore and accept the notion of
idealised things with isolated quantities
 practise in the requisite intellectual skills

14. Montessori Mathematics Materials
characteristics
 Concretizing the abstraction
 Opportunity to act & manipulate
 Interesting & attractive design for
the child
 Encouragement to discover, explore
and infer independently

15. Montessori Mathematics Materials
main aims
 Development of logical thinking
 Ability to abstraction
 Ability to generalisation
 Development of analysis
 Understanding of decimal system
 Using four basic mathematical
operations

16. ORGANISATION of Mathematics
in Montessori System
Group1 – INTRODUCTION TO NUMBERS
Number Rods
Sandpaper Numerals
Number Rods & Cards
Spindle Box
Cards & Counters
Number Games

17. ORGANISATION of Mathematics
in Montessori System
Group 2 – INTRODUCTION TO THE
POWER OF TEN
Introduction to the power of ten
Counting through
Recognising quantities
Linking symbols with quantities

18. ORGANISATION of Mathematics
in Montessori System
Group 3 – INTRODUCTION TO TEEN BOARD
Teaching 11-19 using Sequin Board A
Teaching 10, 20, 30… - 90 using Sequin
Board B
Teaching 11 – 99
Counting 100 square
and 1000 cube

19. ORGANISATION of Mathematics
in Montessori System
Group 4 – OPERATIONS WITH DECIMAL SYSTEM
Addition
Subtraction
Multiplication
Division

20. ORGANISATION of Mathematics
in Montessori System
Group 5 – INTRODUCTION TO RECORDING AND
ARTITHMETIC TABLES
Addition/Subtraction with small number
rods
Snake game
Addition/Subtraction/Multiplication with
short bead stairs
Addition/Subtraction strip board
Multiplication/Division board

21. ORGANISATION of Mathematics
in Montessori System
Group 6 – ABSTRACTION
Short Bead Frame
Simple Division

22. Conclusions…
Maria’s Montessori face on Italian banknote
= 1000 lires

23. Conclusions…
Montessori child’s happy face
= priceless…

25. Never ending Story…