Mathematics

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Montessori Approach to Mathematics

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Mathematics

  1. 1. Mathematics DMT 107 INTRODUCTION
  2. 2. Do we need Mathematics?..
  3. 3. Mathematics in the Nature
  4. 4. Mathematics in the Nature
  5. 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. 6. ACHIEVEMENTSOF HUMAN’S CULTURE
  7. 7. ???
  8. 8. When to start learning Mathematics?...
  9. 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. 10. The Montessori Way to Mathematics Practical Life Exercises – development of order, independence, eye-hand coordination, concentration, capacity concept, internalisation of new notions
  11. 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. 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. 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. 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. 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. 16. ORGANISATION of Mathematics in Montessori SystemGroup1 – INTRODUCTION TO NUMBERS Number Rods Sandpaper Numerals Number Rods & Cards Spindle Box Cards & Counters Number Games
  17. 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. 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. 19. ORGANISATION of Mathematics in Montessori SystemGroup 4 – OPERATIONS WITH DECIMAL SYSTEMAdditionSubtractionMultiplicationDivision
  20. 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. 21. ORGANISATION of Mathematics in Montessori System Group 6 – ABSTRACTIONShort Bead FrameSimple Division
  22. 22. Conclusions…Maria’s Montessori face on Italian banknote = 1000 lires
  23. 23. Conclusions…Montessori child’s happy face = priceless…
  24. 24. Never ending Story…

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