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MONTESSORI INSPIRED : Geometry, Math, Invention

 Geometry, math and invention are languages
 used to explore and manipulate, to theorize
 and create, real objects in a real world. These 
studies make much more sense and are 
more interesting when they are presented with 
manipulative materials, or related to real
problems and situations in a child's life. 

This is the small bead frame, and it is a bit more abstract than the stamp game. As students add/multiply and subtract, they must make exchanges when needed. Note the place value colors are still the same.

In the Montessori elementary class 
stories are told and experiments carried out
 to show children how humans used their
 imagination to solve problems and  come 
up with great inventions-the use of fire,
 measuring the earth, compasses, boats, 
and many others. They see how inventions, 
geometry and math came about as the
 result of progress, to meet specific needs.

We give manipulative materials in 
all areas of math and leave it to
each child to decide when he is ready 
to work without materials-in the abstract. 
Children of this age love to reach back
 into history with their imaginations and 
reconstruct these needs and solutions
and the creation of systems of learning. 

When children are given this solid, 
material foundation, and see the 
relationship of geometry and math to 
the real world, it makes it easier for them,
 in later years, to spend long periods of
 time working on paper. This is because
they know that these steps are just 
that-steps which will take them
to a new level of understanding in the
 exciting world of math and science. 
Angels graphics
Pinegreenwoods Montessori