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.

Wednesday, December 19, 2012

Decimal Fractions - Introduction - Lego Style!


Legoboy figured out that if you're ok with "girly" pink LEGOs, you could easily make this material entirely yourself!

The day I presented the introduction to him, I needed a crown for the unit bead. He was more than happy to oblige! This crown came from the Kingdoms Lego sets.

The Unit is the KING of the decimal system.
Everything centers around him.
I bet he's a toddler ;) hehehe


Materials for this work: 
  • Decimal Fraction board - printable onto a couple sheets of cardstock and attached - or both mounted onto posterboard. Montessori Homeschooling has it for free, or it is available other places for free or purchase. (I recommend this set of 2 files from this site; ask me about the other files) - EASY
  • decimal colored beads - pull them from the long division work (racks and tubes; test tubes) - just a few as these are not used often - EASY
  • 1 cm cubes in blue, red, green, light blue, light pink, and light green - this is where the Legos come in! Use the 1x1 bricks! EASY if Legos; medium difficulty if needing to paint/stain them. Just buy a bunch to toss into a plastic bag with some paint or stain - shake around - scoop out with a tiny wire colander or even just a fork - lay out on wax paper to dry. ;) 
  • white number cards for the decimal numbers, that when placed on the board the 0 fits in the units place; the decimal point is on the line; the next digit is in the tenths column and so on, with each digit in its appropriate column. The font colored according to its category. MEDIUM difficulty - if you buy the board and the numbers together you're set; otherwise, perhaps someone could develop an easy download for the board AND the numbers so they coordinate!
  • You will also need the gray number cards from the Bank Game (elementary Bank Game - the one with only cards) - EASY
  • For one part of the introduction you'll want the white decimal cards from the Bank Game as well - EASY
  • and finally several black hole punches to use as decimal points - EASY
  • There is one candelabra that could be made on the spot - a wonderful art extension for the children to then re-create on their own, because yours won't be all pretty and fancy! (wink-wink, hint-hint - do not make it pretty and fancy) - EASY-MEDIUM
  • For later work, you will want some skittles - pull from the stamp game or the long division work - or draw a skittle on a piece of paper! EASY!

So you see - once you get to this work, the only new material is the board itself, a few black hole punches, its own number cards, and the cubes. None of these are tricky to make! 





Tuesday, December 18, 2012

UPDATED past post: Fraction Materials


I recently updated this post on superfluous Montessori materials. Mostly just tweaks.

But I added the information below about the fractions materials and thought it deserved its own post because of the strong emotional response that has been sent my way when I calmly say, "This material is unnecessary." So yes, here I am a bit more emotional ;) Because I really stand behind the Montessori principles involved.


As I state in my other post, I am not intending to offend anyone, but I know this will sound that way to some people. Please consider the Montessori principles at hand; the century that has passed with consistent observations and the development of album pages appropriate to the various stages of childhood. While not everything may be solidly set in stone, the youngest ages do have a very firm foundation. It is the adolescent age where we are still playing with the details.


Fraction sets for 1/11 through 1/20 - there is a keys-based presentation for helping the children work with fraction above 1/10. If a child is given the material for fractions 1/11 and higher, he is losing out on the opportunity to explore on an abstract level. He will always be hindered in his work because he was given "the fish" when he needed directions on "using the fishing pole".

I have had 3 moms tell me their 5 or 6 year old was SO STRONGLY into fractions and since the child was SO young, this hands-on material would be appropriate for them. NO! Can I say that loud enough!? NO!!! NO! NO! NO!
(before we go on: my son at age 4 1/2 was there too - ALL things fractions! a "fraction genius" even! I really thought I had a guru on my hands - and I was ready to feed that guru-ness wherever it took us, but something happened...)


There is a reason that fractions are in the primary album for children ages 5 and 6 - BECAUSE they have an intense interest! So we are already feeding that interest! But we are feeding that interest by providing the FOUNDATION. A STRONG foundation in the basic facts and uses of fractions.

Then if your child is truly a fractions-genius and his interest hasn't yet waned (most children's intense interest in fractions wanes for a year or two, because they 1) need to consolidate and 2) are moving on to other areas of development and 3) there is just so much else to DO) - there are a series of elementary level presentations that are worked on FIRST (and the little genius can certainly do them all in 1st grade if he wants! rather than spread them across 1st-3rd), before you even get to the need for doing 1/11 and beyond. Once you get to the presentation for 1/11 and beyond - WE DON'T STOP AT 1/20! We go to 1/100 and 1/360 and BEYOND even that! So when a child is ready - he's READY! And we don't hold him back! But we lay the foundation FIRST.

Therefore the fractions materials for 1/11 through 1/20 are superfluous at best; a hindrance and a crutch at worst. Don't bother with them!


SUMMARY:
If a child is a fraction genius and it HOLDS, then he has all the primary presentations AND all the elementary work at his fingertips, before he is presented with how to address fraction smaller than 1/10 --- and at that point, a true fraction genius, will be entirely ready for that materials that are provided, or he will be genius enough to make his own material - thus consolidating and applying the fraction concepts at hand in a much more efficacious manner than just handing him the material.

:)

It all works out in the end :)