Early Childhood – What are the Binomial and Trinomial Cubes?

Early Childhood Binomial Cube
The binomial cube, when first introduced to the child, is presented as a challenging, three-dimensional puzzle. The cube is made up of a number of colored blocks, which fit together in a specific way. Assembling it uses a child’s fine-motor skills and requires the ability to discriminate between the blocks based on multiple characteristics. Unlike Montessori’s iconic pink tower, for example, the binomial cube does not isolate only one quality. Some blocks have one color, others have two. Some blocks are cubes, while others are rectangular prisms. While the pink tower blocks vary only in size, the binomial cube’s blocks vary in color, size, and shape! This makes the binomial cube a more complex sensorial material, and it requires organized thinking to master. The binomial cube’s big brother, the trinomial cube, is a child’s more complex next step.
Like other sensorial materials, the binomial and trinomial cubes are self correcting: when properly assembled, the blocks form a cube that fits perfectly inside of its wooden box! Even if the cube is built outside of its box, visual cues alert the child to any errors they might have made.
 
Children return to the cubes time after time, manipulating them with a focused sense of purpose. After a child has mastered building the binomial or trinomial cube inside of the box, he may then try building it outside of the box, or building each layer separately in order to observe similarities in patterns. Over time, the child’s familiarity with the cube’s physical aspects will lead to an internalized understanding of the abstract concepts the cube represents. #concretetoabstract #handsonlearning #binomialcube #trinomialcube #sensorial #preparationformath #tma #montessori #privateschool #arlingtontx #arlington #texas #infant #nido #toddler #earlychildhood #kindergarten #elementary #education #privateeducation #themontessoriacademy #themontessoriacademyofarlington

Early Childhood – Bank Game

Early Childhood Bank Game, The Montessori Academy of Arlington, Private School Arlington TX

Early Childhood – Bank Game

The Montessori materials share certain qualities: they are hands-on, beautiful, and self-correcting. They isolate concepts to be explored and they allow children to understand independently whether they have done the work “correctly.” Many of the materials also include implicit lessons, concepts that are consistently applied in the design of the lessons such that certain relationships are internalized for children before they are ever explicitly taught.
 
For example, the materials throughout the Sensorial area are presented in series of tens, in which each cylinder or cube or prism differs from its neighbor by a value of ten and in which there are ten of any of those pieces. The Pink Tower, for example, is a series of cubes from 1cm in width to 10cms in width, with each cube 1/10th smaller than its larger neighbor. This orderly internalization of the relationships of tens is an implicit foundation for the Base Ten system, the relationships of numbers in our most commonly used number system. Children learn that units can be counted up to 9, but that once you have counted the tenth of a series, you are working with a new kind of set. Whether you are counting units or tens or hundreds or thousands, you can only count 9 of those things before you have to bump up to the next kind. Nine units plus one equals one ten. Nine tens plus one ten equals one hundred, and so on.
 
Working with larger numbers, then, is far more manageable for young children in our classrooms. We know they are motivated to operate large numbers (just ask your child how many jelly beans he or she thinks are appropriate for dessert- you are likely to hear something like, “One majillion and eighteen.”) The Golden Beads, then, allow children to combine their internalized understanding of the Base Ten system with materials that let them count very very high. The result is work with naturally motivating materials that supports their developing understanding of numeracy and mathematical operations.
#sensorial #math #handsonlearning #alwayslearning #tma #montessori #privateschool #arlingtontx #arlington #texas #infant #nido #toddler #earlychildhood #preschool #kindergarten #elementary #education #privateeducation

Education for parents too!

Learning about the oceans

Does this sound familiar?

Parent, “What did you do in school today?”

Child, “I don’t remember.” or, “Nothing.”

If you are like most parents, you have had this same conversation with your child day after day. Try using one of these “lead-ins” instead and see if you receive a more informative response.

  • What was the best/worst thing that happened at school today?
  • Tell me something that made you laugh today.
  • How did you help someone today?
  • How did somebody help you today?
  • When were you the happiest/saddest today?
  • Tell me one thing that you learned today.
  • Who would you like to play with at recess that you’ve never played with before?
  • Tell me something good that happened today.
  • What word did your teacher say the most today?
  • What do you think you should get to do more of at school?
  • What do you think you should do less of at school?
  • Who in your class do you think you could be nicer to?
  • Where (what) do you play the most at recess?
  • Who is the funniest person in your class? Why is he/she so funny?
  • What was your favorite part of lunch (or snack)?
  • If you got to be the teacher tomorrow, what would you do?
  • Tell me about 2 different times that you used a pencil (paint brush, crayon, etc.) today?

If you ask questions like these, you may hear about great work like this!

Phonograms, The Montessori Academy of Arlington, Private School Arlington TX