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
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