Montessori Elementary Homeschool Blog - with documentation of our infant Montessori, toddler Montessori, and primary Montessori experiences; as well as preparation for the upcoming adolescent Montessori homeschool years.
Showing posts with label geometry. Show all posts
Showing posts with label geometry. Show all posts

Friday, January 22, 2016

Tessellations - Pattern Blocks - In Montessori

Tessellations are an awesome extension of the Montessori experiences. While not a "Montessori material", they are perfect for children of all ages.

There is one modification I make to them, to align them with Montessori principles: if they come with a set of design cards, I utilize any of the cards that show how the pieces form other pieces (this is akin to the constructive triangles material); and I remove all the cards that show designs.
The three cards on the right - we like those type for some self-guidance.
The two cards on the right - I prefer the children to discover those patterns for themselves. 

Why? Because the children should use the pieces to create their own designs and discover for themselves the variety of "pictures" they can form. I find too many times over that providing the design cards, locks a child's mind into design mode and less on creative pattern discovery.


Toys in a Montessori Home - Lower Elementary
Tessellation Patterns in our Co-Op

Informative and interesting site about Tessellations: Tessellations.org



Some 3-dimensional "tessellations" - the power of 2 in elementary and the power of 3 in adolescent mathematics.


Fractals extensions totally work off of here too!

Monday, June 15, 2015

Geometry Circles

In no particular order, some of the work Legoboy and I did together on geometry a while back.

This elementary Montessori work is done with a box of geometry sticks, the circumferences (half-circles), a pencil, some pushpins, and a geometry plane (corkboard with paper mounted on it).


the "plane"

drawing an arc - be sure to use a SHARP pencil!


















Wednesday, November 7, 2012

Command Cards - Elementary Montessori

This post started as a quick note about Geometry Command Cards, but quickly got off on other tangents as 3 ladies asked me related questions at the same time ;) Talk about coincidence! (or alignment of the moon or something!)


ORIGINAL POST: 
Fast drawing the concept on paper
From a command card for "two lines"
note the opposite direction of the stick work
showing mastery of the concept in a different layout
Just a quick post to say that I have added sample basic geometry command cards at the end of the following previous post:

Geometry Command Cards Original Post

This file includes additional pre-formatted pages to add your own additional ones; I have left it in Word so you can edit it as you like.

More advanced versions are being added to the Keys of the Universe Geometry album.





ADDING ON: 

NOT ALL CHILDREN need these command cards. Sometimes (in the case of my son) they are a great way to provide quick reviews for a slightly older homeschooled child without the benefit of having watched his peers doing the work, or helping younger ones, before moving on to more advanced work.

Sometimes a child just needs a little push into ways that he can work independently with a material.

In pure Montessori terms, the command cards should be presented only when needed to get work going, then pulled out as the children are finding ways to work independently and come up with their own ideas.

EDITING (11/27/2012) TO ADD this sentence:
*Writing* command cards is an excellent exercise for a child to develop skills in planning and organizing --- especially when there are many ideas going through his mind at once and he can't go all directions at once! So if a child hears a lesson and has 5 ideas, he can write out each of his ideas on a card - choose one to work on now, and now he has 4 ideas in back-up to pursue later that day, later that week, or just later in life.





Again - in the homeschool, I see more of a use for them from to time.
  • get work going
  • encourage working independently when toddlers and babies and teens or home businesses need a parent's attention
  • as review for that middle aged child (8-9) to review concepts not explored recently before moving on to more advanced work. 
  • As a way of monitoring work, combined with the work plan and work journal. 
  • I DO NOT recommend using as your child's sole source of inspiration for work. Use them judiciously. 



How do I feel about the curriculum cards created by Albanesi?
You are about to read a completely wide open, honest and blunt response.

You have been forewarned ;)
  • I think (my opinion!) they are ridiculously expensive for a homeschool (even though homeschoolers might have a greater use for them, supplementing the cards where 30-35 children are not present; but then you have to buy the materials too!? And still have the albums!? NO WAY!?)
  • And entirely unnecessary in such large quantities and sets for a classroom where there IS the influence of so many other children. 
  • These curriculum cards are not command cards so much as almost everything is done by the child, with very minimal work with the adult. This is NOT Montessori - this is independent learning - not really the same thing at all. And it is too "curriculum-like" to borrow my primary trainers term (for another Montessori-styled item) - it's not about following the child or meeting the child's needs of the moment. 
  • Yes, there are a couple of yahoo groups that are trying to do something like these sets for homeschool purposes. They (we, actually - since I am in on those groups), continue to hit brick walls because of these conflicting notions of what they are meant to be and how they are meant to be used. So yes, I have looked into these cards extensively. And a homeschool version is likely to be created at some point in the next year or two - but it won't be like what the original project set out to do. 
  • I do NOT recommend purchasing them, for home (expense) OR for school (appropriateness in the environment). If someone gifts them to you, then great - use them as you see fit. But don't spend your own money on them! 
How's that for an honest response? ;) 


Monday, October 29, 2012

Geometry Command Cards

Legoboy (new nickname for the blog ;) ) is working on the Geometry Command Cards, partially because he needs review on geometric concepts, partially because I need the materials checked before I offer them to others and partially so I can get some updated images to correct the incessantly annoying mathematics album files!

He is rushing through some of the work, but I thought I'd post some of it anyway :) 

Working on convergent and divergent lines: 

Reviewing the concept with the geometry sticks

parallel - the children are
neither happy nor sad
convergent - connecting of
paths - the children are SO happy!


divergent - paths are going two ways
the children are so sad!

Fast drawing the concept on paper
From a command card for "two lines"
note the opposite direction of the stick work
showing mastery of the concept in a different layout



BONUS:
ETA a link to the sample geometry command cards my son used above. These are also being added to the Keys of the Universe Geometry album, along with more advanced versions for older children. 

Friday, May 25, 2012

Tessellation Patterns

While there is no specifically AMI Montessori album page for tessellations - they are just plain fun! And when presented right, with the right materials, they fit right in with Montessori.

While we do not encourage the children to create images (we want them to explore the shape, and the function of each shape - not be focused on creating boats and flowers) - elementary children do utilize them to create images. I encourage the exploration of shape and function and steer them away from creating images until it is inevitable.

Some samples of our work:

a friend's toes

exploring different kinds of flowers

what if we just use hexagons? what would happen?
note: this particular mode teaches far more
 more than creating a flower teaches a child ;) 

she was exploring pure shape; filling in gaps with other shapes,
seeing where it would lead (this is a transition stage into
creating intentional images)

Purely exploring with shapes - and look at the beautiful pattern emerging!






Monday, March 5, 2012

Elementary Geometry Lesson

I have a deep respect for Dr. Steve Hughes, Assistant Professor of Neuro-psychology at The University of Minnesota.

This link takes you to a Geometry lesson told during one of his presentations at a Montessori school in Minnesota - a parent meeting.

Watch until 6:30 for the Geometry lesson (the rest goes through brain development).