The Montessori binomial cube is a material that is presented as a sensory material in Casa dei Bambini to be then taken up in the primary school in the study of algebra.
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Montessori binomial cube – content:
1 blue cube
1 red cube
3 black and blue blocks,
3 black and red blocks.
All blocks are inserted in a wooden container with lid, and removable sides. The cover contains the building model. The 8 blocks fit together in a binomial model, forming a concrete representation of the algebraic formula (a + b) ³. The factors of the equation are represented by colored cubes and prisms:
(a+b)³ = a³+3 a²b+3 ab²+b³
Younger children can explore the binomial cube, as sensory activity of visual discrimination of color and form. This can serve as an indirect preparation for algebra and mathematics.
1 cube 4x4x4 red
1 cube 3x3x3 blue
3 parallelepipeds 4x4x3 red e black
3 parallelepipeds 3x3x4 blue e black
(all faces 4 × 4 are red, all faces 3 × 3 are blue, all faces 4 × 3 are black).
here the tutorial to make the Montessori binomial cube on their own: Montessori binomial cube tutorial
Montessori binomial cube – Presentation
Materials needed: a Montessori binomial cube
1. The teacher asks the child to join her in the exercise,
2. then he brings the box to the table and sits beside to the child, to his non-dominant side.
3. He takes off the lid and places it beside the cube with the drawing visible to the child. Then he pulls the four sides of the box, allowing the child’s vision of the binomial cube. Of course if you have a box with removable sides, you’ll have to remove the binomial cube and place it on the table.
4. To observe the binomial cube in all its visible faces, we get up together and do a slow walk around the table.
5. Teacher and child sitting back and slowly the teacher decomposes the cube: first removes along the four blocks that form the top layer of the cube and puts it as it is in front of the child.
6. Then he isolates the red cube, then the black and red parallelepipeds (right of the red cube), then the black and blue parallelepipeds and finally the blue cube.
7. After a time dedicated to observation, the teacher reconstructs the cube, starting with the red cube to end up with the blue cube. All colors side must match.
8. The child can repeat the exercise.
When using this material, the teacher and the child always use the correct name of each part composing it, it is called thus to the binomial cube, cube and parallelepiped.
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Disclaimer: “Per redigere questa mia presentazione ho utilizzato i miei album e appunti personali e consultato vari album di altri autori e articoli nel web. Per leggere online o acquistare le copie legali di tali opere consultate segui i link:
– Sensorial primary guide di Infomontessori.com
– Album for ages 3-6 – Sensorial di montessoriteacherscollective (Moteaco)
– Montessori teacher album – Sensorial di Montessorialbum.com
– Sensorial album di wikisori.org
– The casa 2,5-6 years – sensorial di montessoricommons
– Sensorial development di montessoriworld.org
– Albanesi Montessori notes – The binomial cube
– Module 3: Exercises of sensory development di Montitute.com
– Sensorial teacher manual di khtmontessori.com
– Primary class curriculum – second year di mymontessorihouse.com
– Sensorial teaching manual – primary ages di montessoriprintshop
– Early childhood curruculum – Montessori sensorial manual di montessoritraining.net
– Sensorial Manual Infant and Toddler e Sensorial Manual Early Childhood di themontessoriparent.com, che ha suggerito l’aggiunta di questo disclaimer in accordo con la sua politica di copyright.
Ho inoltre consultato i testi di riferimento di Maria Montessori per gli esercizi sensoriali:
Il Metodo della Pedagogia Scientifica applicato all’educazione infantile nelle case dei bambini
La scoperta del bambino
Per una bibliografia completa delle opere di Maria Montessori vai qui.