Sensorial Decanomial
Squares and rectangles laid out by size and colour until they complete the square of the decanomial. Where the bead version builds the multiplication table from quantities, this one builds it from shapes, so a child who cannot yet multiply can still discover that the arrangement is symmetrical and that every rectangle has a twin on the other side of the diagonal. A ten compartment beechwood box keeps the sets sorted, which is what makes a layout this large survive being interrupted. Wood with non toxic paint, for ages 3 to 6.
“The greatest sign of success for a teacher is to be able to say, 'The children are now working as if I did not exist.'”
The Sensorial Decanomial introduces algebraic thinking through color-coded wooden tiles that children manipulate to construct the decanomial square.
- Visual discrimination of size and color relationships in mathematical patterns
- Understanding of squared numbers through physical construction
- Recognition of algebraic formulas through concrete manipulation
- Development of systematic thinking and pattern recognition
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Each tile's distinct color represents a specific numerical value, allowing the child to physically build (a+b)² = a² + 2ab + b² without abstract symbols. The Sensorial Decanomial bridges sensorial exploration with mathematical abstraction by presenting algebraic relationships as visible, tangible patterns. Unlike abstract number work, these wooden tiles enable children to discover mathematical laws through their own construction and observation. The material's progression from sensorial pattern-building to recognizing algebraic formulas demonstrates Montessori's principle of moving from concrete to abstract understanding. By physically arranging the Sensorial Decanomial's tiles to form perfect squares and rectangles, children internalize mathematical relationships years before encountering formal algebra.
How to present it
Follow the Montessori method of presentation for optimal child development.
Place the Sensorial Decanomial box on a large work mat. Ensure ample floor space for building the complete square. Have a color chart reference available.
- 1
Sort all tiles by color into separate piles on the mat
Use the box compartments as sorting guides to maintain organization - 2
Begin with the red unit square, placing it in the top left corner
Always start construction from this fixed reference point - 3
Add the green rectangles (1x2) along the top and left edges
Match the unit side to the red square for proper orientation - 4
Continue building outward, following the color pattern for each value
Work systematically row by row rather than randomly placing tiles - 5
Complete the square by filling in all positions according to the pattern
Step back periodically to observe the emerging diagonal patterns
Every Child Is a Little Creator
Heritage
Since 1929
Brands used by
schools worldwide
European brands
AMI
Endorsed
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