Math

Number sense and counting

Concrete Materials, Number Recognition and Counting

In a Montessori classroom, the approach to number sense and counting is both hands-on and integrative, aimed at fostering a deep understanding of numerical concepts through exploration and interaction. Here's a breakdown of how these principles are typically applied:

1. Concrete Materials:

Montessori classrooms use a range of tactile materials to help children understand abstract mathematical concepts. Key materials include:

  • Number Rods: These are rods of varying lengths, each corresponding to a different number. They help children visually and physically grasp the concept of quantity and size.
  • Golden Beads: This material represents units, tens, hundreds, and thousands. Children can build numbers and perform arithmetic operations using these beads, providing a clear representation of place value.
  • Sandpaper Numbers: These are cards with numbers made of sandpaper that children trace with their fingers. This sensory activity helps them internalize the shapes of the numbers and their corresponding values.
  • Stamp Game: This tool allows children to perform addition, subtraction, multiplication, and division with a hands-on approach, using stamps and place value cards.

2. Sequential Learning:

At GVM, we introduce numerical concepts in a sequenced manner, building from simple to complex:

  • Introduction to Numbers: Children start by understanding the concept of quantity and simple counting. They might use materials like number rods or counters to practice counting objects and recognizing numbers.
  • Place Value: Once children grasp basic counting, they move on to understanding place value with materials like the Golden Beads. This stage helps them understand how numbers are built from units, tens, hundreds, etc.
  • Operations: With a solid foundation in place value, children learn addition, subtraction, multiplication, and division using appropriate Montessori materials. These materials provide a visual and tactile understanding of mathematical operations.

Overall, the number sense and counting aims to build a strong foundation for mathematical understanding through hands-on, engaging, and individualized learning experiences.

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