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Mathematics

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Montessori Approach to Mathematics

Montessori Approach to Mathematics


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Transcript

  • 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 days activities
  • 6. ACHIEVEMENTSOF 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 SystemGroup1 – 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 TENIntroduction to the power of tenCounting throughRecognising quantitiesLinking symbols with quantities
  • 18. 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
  • 19. ORGANISATION of Mathematics in Montessori SystemGroup 4 – OPERATIONS WITH DECIMAL SYSTEMAdditionSubtractionMultiplicationDivision
  • 20. 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
  • 21. ORGANISATION of Mathematics in Montessori System Group 6 – ABSTRACTIONShort Bead FrameSimple Division
  • 22. Conclusions…Maria’s Montessori face on Italian banknote = 1000 lires
  • 23. Conclusions…Montessori child’s happy face = priceless…
  • 24. Never ending Story…