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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 days activities
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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
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The Montessori Way to Mathematics Practical Life Exercises – development of order, independence, eye-hand coordination, concentration, capacity concept, internalisation of new notions
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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
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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
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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
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Montessori Mathematics Materials characteristics Concretizing the abstraction Opportunity to act & manipulate Interesting & attractive design for the child Encouragement to discover, explore and infer independently
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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
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ORGANISATION of Mathematics in Montessori SystemGroup1 – INTRODUCTION TO NUMBERS Number Rods Sandpaper Numerals Number Rods & Cards Spindle Box Cards & Counters Number Games
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ORGANISATION of Mathematics in Montessori System Group 2 – INTRODUCTION TO THE POWER OF TENIntroduction to the power of tenCounting throughRecognising quantitiesLinking symbols with quantities
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ORGANISATION of Mathematics in Montessori System Group 3 – INTRODUCTION TO TEEN BOARDTeaching 11-19 using Sequin Board ATeaching 10, 20, 30… - 90 using SequinBoard BTeaching 11 – 99Counting 100 squareand 1000 cube
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ORGANISATION of Mathematics in Montessori SystemGroup 4 – OPERATIONS WITH DECIMAL SYSTEMAdditionSubtractionMultiplicationDivision
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ORGANISATION of Mathematics in Montessori System Group 5 – INTRODUCTION TO RECORDING AND ARTITHMETIC TABLESAddition/Subtraction with small numberrodsSnake gameAddition/Subtraction/Multiplication withshort bead stairsAddition/Subtraction strip boardMultiplication/Division board
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ORGANISATION of Mathematics in Montessori System Group 6 – ABSTRACTIONShort Bead FrameSimple Division
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Conclusions…Maria’s Montessori face on Italian banknote = 1000 lires
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Conclusions…Montessori child’s happy face = priceless…
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