Multi Base Material - Upper Elementary Mathematics

(UPDATED! For clarity and to add search results at the end)


We strive to be keys-based around here. I provide the keys and the opportunities, my son uses them to their fullest potential at the right times.

Great.

Until I won a giveaway through Alison's Montessori for a beautiful, non-essential, non-keys Power of 3 Cube. This is an *abstract* presentation in my album - it is not intended to utilize a material because at that point, the material becomes a crutch to the child. If the child needs a material at this point, the child *creates* the material himself.

So. We're using that one for sensorial exploration for now - as a puzzle - in lower elementary; then I will pull it from the available materials for upper elementary. It's a neat little "puzzle" so I'm ok with that.


But then I placed an order for our remaining Montessori materials several weeks ago. Received everything; then realized I still have a couple of small purchases to make. Oops. That company doesn't have those things anyway, so it's fine. I get my list ready and figure out how much money we'll need to save and I have it ready for the right time. Ok :)

But then I went and pulled this out of storage (given to us a while back - I'd tucked it away without thoroughly checking it beforehand). I thought it was the Non-Decimal Base Board, but I never thought to wonder what was in the BOX (non-decimal base board does not require a box).

This is the one sold at Alison's' - ours is identical, but I don't know where we got it.
It's pretty - it looks neat - but it is definitely NOT an essential material.
Why do companies sell the non-essentials and LEAVE OUT so many of the essentials? 

I am now the keys-based, flummoxed owner of TWO non-keys-based materials that I didn't know I was getting! ;)


I *thought* it was the board for Non-Decimal Bases. But it's not. And I have *nothing* in my albums for this Multi-Base material. Thus it could be a great work to do! But it is not keys-based - it is an extra. I am "ok" with that to an extent, but if I can't figure it out in under 30 seconds, with my experience and training, then is it really going to be necessary for the child?
NO.

But my son MIGHT be interested in it and it might make a FANTASTIC follow-up if that is where his interests go (no, the local educational requirements in our area will not require what this board teaches, so I can't even pull it in for that purpose!).

Wish I'd double-checked first! Because now I don't have the Non-Decimal Bases board - but that should be easy enough to just draw out on posterboard. And anyone else who needs Non-Decimal Bases Board and you've already made a chart for primary use of organizing the golden beads into their categories (that chart being another non-essential material that could be useful and even necessary in some cases - it is 4 columns, with a row at the top to designate that units, bars, squares or cubes go in a particular column)... Just use that! Fine. I'm good with that. Easy and cheap!


But what do I do with this Multi-Base material? I am flummoxed and, frankly, borderline annoyed - both at myself for not checking a long time ago and at companies for making this stuff. I am looking for an album page, a set of album pages - or someone to just tell me which company sells an album that has it - just to save me time figuring it out and making up the album page(s) myself.

Any ideas?


I have contacted 5 companies who sell it, of the 3 who have responded thus far, they have no idea either! So my next question is where did they get the instructions on how to make the material? Many of the discount places get their materials from the same place in China I am sure, but not everyone gets their stuff from there; so where did the original pattern come from?

It is very sad and very disheartening that the gray line between "essential" and "extra" (but could still be good) is so blurred, that there are sometimes "extras" that just aren't even good, but are still being called Montessori - but that is for other posts!


Downer post - sorry! It gets better tomorrow!


(UPDATE 12/29/12: All but two companies have responded back to me; I contacted 3 others who all responded. Not a one of them has any clue how to use this material, or even where the pattern actually came from. Wow.

This pdf document makes ONE reference to it:
Workshop
“How Mathematics forms the brain–Montessori and
Multi-base Material” by Ms Han Kamphuis, pedagogical
consultant at Nienhuis.

Thus it appears to be AMI, and it appears to be relatively new.

Not one AMI elementary training center has responded to my messages, to date. Not even the one I attended.)

Will update further as anything new comes up.

Dot Game Fun!

I love the dot game - I don't know what it is - all the dots maybe? Nah - it's the organization of it - the beauty of it - the essential teaching of it!

And it is the one time that markers are typically used in a Montessori class - if the dot game is kept in a glass frame or laminated and mounted - the children can use a dry erase marker and eraser and use it again and again!


Legoboy did it at school, and wanted it to do it at home (that year I alternated subbing at Montessori schools and working at home - and homeschooling - it was a crazy, but wonderful year!) --- well, I just printed it out and he filled it in. We downloaded this version from Montessori Materials - a great place for some of the printable materials.

Then I had to print more - because he just ate it up!

Here is his first one... It's so pretty! I wrote the first set of numbers and everything else was on him.

The children check off as they do a row, so they can track where they are. They connect up the dots to create a "bead-bar of ten"; then carrying over is noted in red the first several times they do it, to really reinforce the extra work that goes into carrying. But these are all concepts that are actually KNOWN - the child has been doing this work throughout use of the golden bead material - for Legoboy, it had been almost two years with the golden beads, probably a year and a half with carrying, before he actually did the dot game. 

Montessori works in baby steps - so there are only two new things here: 

1. doing the work ALL on paper, in typical addition format (on the right side) --- but connecting it back to their previous work of no more than 9 in any category! 
2. introduction of the comma. Until this time they have not really been using the comma. There are many adults (ahem, me) who try to sneak that comma in there sooner - before the child is ready (too many new things at once if it is introduced sooner!) and most of the time the adult doesn't even realize he or she is doing it! It's so instinctive! But we want the children to focus on place value, so we don't worry about the comma until around this time - this is close to the time they will also learn about millions with the wooden hierarchical material - so the next step is to be introduced to the repetition of the categories (unit, ten, hundred; unit of thousand, ten of thousand, hundred of thousand, etc.). 

This material is only used for addition although multiplication could be done on it. There is more other work for the child to do and the point here is the two points listed above. So further operations are not necessary. 

By the 3rd sheet of this work, the Dot Game turned into a balloon popping game - pop 1, pop 2, pop 3, etc. until number 10 was the biggest POP of them all! 

oh the days when it wasn't about battles and weapons.... it just balloons popping! How I miss those days ;) 

Mathematics Materials: A Photo Journey

I started two separate posts, but there is so much overlap here! The materials can be pricey or tricky to make at first, but, as noted, most of it goes for several years!


A photo journey of our primary mathematics materials:

Numbers 1-10 (the candle is for decoration, polishing,
and it makes a neat representative of the number 1 ;)
Basket underneath for golden bead collections.
Most of this material is JUST for primary.
(except the small bead frame!)

There is also a small bead frame- but if you know you are going to do elementary as well, get the large bead frame and use for both (that is what we did). The dot game is downloadable. Teens and tens boards can be made of paper and cardstock (that was ours!). The memorization charts can be downloaded.



A photo journey of both primary and elementary Montessori materials:

At-home multi-purpose use ;)
This material is used FOREVER in Montessori!
It is WORTH it to have every piece of it - do NOT skimp here. 

Mathematics mats - especially for primary

Circle fractions are for both primary AND elementary

Division with Racks and Tubes
Test Tube Division
Can be used in primary for short division
Elementary for short and long division
and the materials can be used SEVERAL other places as well

Golden bead material - 45 of each, 9 thousands
(only one non-AMI primary presentations needs
more than 9 thousands - and you can make those)

Decanomial bead bar box - we get away with one box
by adding a few bars of pony beads on colored pipe cleaners.
Primary and Elementary
AND you can use this material for SO MUCH - just pull from it what you need!

The stamp game, large bead frame - belong here. Also, get a negative snake game and you'll have all you need for all the snake games.




A photo journey of JUST elementary Montessori materials:

flat bead from for elementary only

Elementary: power of 2 cube
(power of 3 cube is NOT necessary)

Montessori Protractor - this one is 0 - 360
Another one goes 0 - 100
Both are necessary in some form. 

Fraction skittles for division.
Some albums have them in primary for another purpose.
They are intended for dividing fractions by fractions
at the elementary level. 

sample of squaring and cubing in elementary
all material comes from the bead cabinet

too pretty of a picture not to share!
all material comes from the bead cabinet

Decimal Checkerboard for multiplying decimal fractions (decimals)

There is more I have not yet pictured: the squaring and cubing material; the pegboards.

Mathematics is huge! The nice thing is that primary materials DO carry over; and there is a good deal of the elementary material that can be consolidated, or made of paper, cardstock, or other items around the house, along with a few basic purchases. Or is multi-purpose for both primary and elementary with slight modification.

While this area is the most intense, materials-wise, it is also the most efficacious of all the Montessori materials. It is worth every second and every penny! 

:) 

Multiplying Sum by a Sum

Legoboy loved this work intensely - for about 3 weeks. Then he's done. He found the shortcut of adding up the quantities within parentheses and then multiplying, so we had to move on to unknown quantities to keep him practicing the proper procedure!

The idea is to start with lower numbers, with bead bars within one set of parentheses and number cards in a second set of parentheses; then show proper procedure for multiplying each bead bar by each "command card", finding partial answers and later putting them all together into the final product. We turn over the multipliers (commands) not being used, so that we isolate just the one individual being used at the moment.

Talk about good habit-forming right from the beginning and before EVER doing the abstractly!

So. He LOVED the work. And he loves drawing. But for some reason, he always rushed through the few drawings he made of his work onto graph paper. Go figure! Here is a sample - he started off well except for parentheses ;) As Grandma says: Funny boy!
(ordinarily the partial answers are placed underneath their corresponding bead work - not to the right as he shows it here - but he likes to have all of his work of this sort fit onto one piece of paper when possible). He still had the final product on a different piece of paper which he then tucked away somewhere I can't find to show you all! He does that with his favorite work until he is ready to share. I can't complain! At least he wrote the numerical answer at the bottom :)

Sample of 2-sum by 3-sum

1 unit by a sum of 2 addends, then switch it around. 

sum by a sum - basic presentation :) 

Primary Language Materials: Photo Journey

In no particular order, language-related photos I have - some with materials we've made - some with materials we've purchased or borrowed or were gifted:

Zoology and Botany classification cards
with definitions
A few samples of these are nice to have in the classroom or homeschool
focus on keys, then add an interest or two
Thereafter, find outline pictures online and invite the child to
"do research" to find the names of the parts
(so books on the subject would be great!)

small movable alphabet -
punctuation marks are missing from these boxes
the backsides of each letter should have the capital as well
perhaps if I'd made them with the capitals,
Legoboy wouldn't have struggled with them as much ;)
****This material carries over into elementary -
have blue, red, and black on hand for sure*****

wooden grammar symbols - genius!
****Carries over to elementary!*****

Our original handmade metal insets
Not so metal - they are foamboard
do it again? I would either buy them or cut from wood
or from mat board (picture frame backing)
***ALTERNATIVE: just get the geometry cabinet and use
the shapes from those drawers!****

Now, we also had beautiful living books, focused on reality - with a variety of beautiful artwork (nothing cartoon-like).

We read from the Bible - not from Bible storybooks.

We did a lot of artwork, which helps with handwriting and strengthening those muscles, thus the fraction insets (circles, squares and triangles) were utilized in various setting (we did not have these at home at the time, but I wish we had!). The circle fractions begin in primary and continue into elementary mathematics, with the squares and triangles presented in elementary geography.

We spoke whole-language - real words, full sentences. Yes, we played silly word games at times, but our usual conversations were imbued with respect for the child's intelligence - something hard to fight against in our culture that uses the wrong verb tense and pronouns for the youngest children. Mother-ese is WONDERFUL - but it shouldn't be used on a 2 year old except briefly in silly-snuggle time for just a moment. ;) "Him so beautifuls" being not quite right for a child over a few months old who is absorbing the rules of language. hehe.


These things (pretend stories, awful artwork, poor language) won't destroy a child, but they sure won't build him up and they could certainly slow him down. Everyone who asks my advice because they have been doing these things and have older children - just adjust now. Slowly purge the old books by adding in or emphasizing the good ones; remove the least loved of the others first, and faze out the usual favorites. But save the good literature for elementary! (Beatrix Potter, Wind in the Willows, Fairy Tales --- these are all moral tales and have a profound place in elementary!) Speak in whole, rich language, with a large vocabulary - provide very simple and short explanations only when obviously needed (child asks). If the child says the wrong thing, such as "pretty kitty" instead of cat or kitten, you say, "Yes, this is a lovely cat (or kitten depending on the age of the cat!). So you are giving another name for pretty, teaching its meaning in context without needing a definition, AND providing the accurate word for the age of the creature. No correction necessary :)

Practical Life in Elementary - Primary works?

There are some primary practical life skills that can still be worked on in elementary - whether because the child needs extra practice or because there was no primary level experience - or because of a significant emotional event that causes a child to backslide a bit. In these cases, a specific tray for a specific skill could be set up. But clear it away as soon as it is no longer a work of meditation, development of concentration and skill practice. Once one of those three components falls away, remove the material and offer alternatives that use that skill and continue to develop concentration. We do NOT want the children "hiding" behind work or choosing work simply to be "busy". We do want them fulfilling their inner needs - and YES sometimes that means a simpler activity already mastered. We just need to have the proper balance of work options --- an older child wanting to do some simple pouring, could pour drinks for snack/meals, prepare various works for other children that require pouring, etc. At home, go play in the bathtub with some pouring items - and get clean in the meantime ;)

1st grader practicing pouring between two pitchers
Skill needed: not touching the pitchers to each other

For the most part in elementary, practical life just looks more practical. There are not a gazillion individual trays, one for each skill. BUT in addition to having perhaps 1 or 2 trays to work on a particular primary level skill, you might put together a basket or box of items that go with a research project or a chosen area of study - just to keep the materials together. One example might be a basket that has mapping skills pulled together as an activity box for the children. This would be more appropriate for at home rather than at school, where those same materials will be displayed differently (according to each school). At home: a nice activity basket :) 

World Puzzle Map at Home

Montessori teachers generally highly recommend not to have duplicate materials at home and at school.

For the most part, I agree.

But there are always moments that make you say, "hmm."

And this was one :)


Junior Legoboy (he had not yet discovered legos at this time of his life!) was in an AMI primary Montessori school for his 3 year old year. First thing of interest is that he started to write at home - writing out the letters to spell "thank you" on his after-Christmas cards - but he wouldn't write at home - OOPS! Meant to say *school* - he would NOT write at school - and it's not like we spent that much time at home that year for him to be distracted by duplicate materials at home. I had tucked away all of our Montessori materials so he would focus on them at school. But he just wouldn't write at school!


One day, at home, he pulled out a world puzzle map we had there (yes out of storage, without my permission), and proceeded to do work he'd seen the older children doing at school.

This photo became the cover of my sensorial album!
Please ignore his clothes hanging in the closet behind him ;) 

Assembling the puzzle outside of the frame,
with no outer border reference. 

So in this case, we certainly had moments where he went deeper with the work at home than he did at school. I'm not drawing any significant conclusions from these observations - just something to say, "hmmm."


Yes, this material was in my sensorial album - not a separate geography area. I had sensorial aspects of the world in sensorial, with the appropriate language activities in the language album. I personally found this layout to be SUCH a relief after having spent several years finagling with multiple subject albums - 4 was such a blessed relief! It certainly helped me to organize the patterns and connections in a way I just didn't "see" before despite the number of years in Montessori environments!

Long Bead Chains - Photo Journey

Just browsing through photos looking for something else, and thought, "I should share these!"

Counting up the 1000 chain!

Drawing it afterward - elementary children

sample of elementary work with the long chains

the lighting was bad ;) 

1000 chain from my student teaching days
I still have that skirt!
And I still remember the happiness of the boy
who worked on this presentations
- the TRUE self-esteem -
the pride he took in his work
the complete turn-around in his behavior
having been given some REAL work to do. 

5 1/2 year old SO PROUD of his BIG WORK
(this boy did this work BY HIMSELF!)
It was probably one of the most fulfilling things
he had done in his life to that date!)

Lego day!

The morning of the day I write this post, my son wrote me a note:

can you come to the m(iddle) of the f(l)oor?
He's not been writing much lately - and despite all the
wonderful Montessori materials - if he doesn't practice,
it's GONE! So spelling skills are OUT.
Every child has their thing - spelling is his.
No spelling bee champ here ;)
(do they have an "Abbreviation Bee?" hehe)

(he'd been leaving me a series of notes - I have a PILE of them next to my computer - he writes them on scrap paper, folds in half, sneaks up, drops them in my lap or on my hands and RUNS, diving behind the living room chair supposedly before I can see him!)

We LOVE these CDs - very educational and very interesting!
Each CD plays the entire song through about 3 times -
once continuous with narration
once with starting/stopping and further depth of explanation
once just straight through with no narration
And LOTS of extras in between ;) 

This was right after he wrote a note asking if we could listen to "Carnival of Animals" from Maestro Classics.

Well, it's Friday and most of his work from this week is already done - so why not? ;) 

By why the middle of the floor? Legoboy has spent the last two days' worth of free time creating a Lego game from scratch.

So we played. Who needs school? Who needs to work? We're listening to music and spending time together.

challenge cards and playing cards

Pieces to build figures and barracks within each field

I like this game. I don't care for Legos myself - I support his interest though - yet I'm winning! So I don't mind this game ;) I did need to call a break for a while so I could get on with more of my own work. We'll finish up this evening.

I love how much thought and effort he put into this game - so much so that handwriting and spelling suffered! But he is going back to make revisions - and in the playing of the game, he didn't get upset when something didn't work - he just either revised the rules in the moment because they needed to be done, or he made a quick list of items that needed adapting for future playing.

I am very proud of him for doing all this work :)




Shshshshsh! Don't tell him yet I found this blog this morning with a LEGO co-op plan - at Homegrown Learners. I am going to see if any local children want to join us for a short-term LEGO club in our home ;)

Maybe we'll combine with this 4-day LEGO lapbook at Walking by the Way.
Click here for her LEGO resources.



What would Dr. Montessori say about LEGOs? I don't know! They are plastic and she saw a much larger benefit to all-natural tools, and I'll admit I'm not always keen on the sound of them and they do GET EVERYWHERE (Legoboy usually works on a sheet which we then gather up and dump back into the big bin, after he pulls out the small pieces he wants to keep organized - that way, at least the LEGOs are partially contained and they don't make a terrible sound when he does work on tile floor).

They are really great for problem solving, engineering-type skills and just plain creativity.

Would I have them in the "school" area (whether a homeschool or a regular school)? NO! I would keep them separate from the usual learning materials, but I don't entirely consider them pure "toys" either. Much like our other "toys" they must have a strong reason to be here, in order to be allowed to take up space in our tiny home. So they are not frivolous play, but lead to creativity, imagination, problem solving and can be combined with other items.

Just my OWN two cents ;)

Your Business Math - Pet Store

As with all elementary Montessori work, the idea is to get the child exploring and learning of his own accord - provide him the keys and let him do the unlocking ;)

Along that vein, when Legoboy came across some information about Your Business Math, he was really excited! And started saving his money for it.

While business math is ideal for the adolescent age, there is nothing wrong with some sidework in the business world at the elementary age too!  They have three options: pet store, book store, or sports store. We have the e-book version of the pet store.

There is a bit of printing with the e-book, but it saved shelfspace and allowed us to just print what we need so I'm good ;) You can print straight from the pdf they send you or they have links on their website to download just the needed pages.

He got started on it the week before Thanksgiving and while he would be happy to fly right through it, I am intentionally slowing him down so that we truly focus in on each step of the process.

You work in "months" which take about an hour each to do if you fly straight through and a bit longer if you are more mindful.

As I said, he started to fly straight through, because
he was SO excited. He mis-spelled a word -
but he's corrected that since I took the photo.
I would have added more color, but
he preferred keeping it simple. 

We spent one evening just setting up. I sat at the computer and worked; he came to me for the next step to read the instructions, print as needed, then he was off. When he needed guidance he brought his binder to me and we worked through it. This way, I was "occupied" but available and would not fall to temptation to micro-manage. ;)

He chose a binder and some dividers; drew out a logo and selected a name for his store:

The first divider - all inventory sheets, order forms,
customer orders,, ledgers, etc. for each month
are behind their own tab. 

We like it. I wish it was a bit more intense, so we could more easily beef it up and make it a younger adolescent experience - but this is solidly 8-12 as their website specifies - and I could see most Montessori 11 and 12 years old wishing for more intensity.

The nice thing with families - is that each child can have their own store - the instructions are the same, the order details are different - and they can place orders with each other. There are other ways to provide variations, such as other family members placing pretend orders, choosing not to accept a program-provided order on moral grounds (ie one customer wants to feed his animal purchase to his other animal, so would you as a *pet* store owner want to allow that, etc). The instructions note when you should develop certain policies such as these. And there are certainly your own variations you can make as you like.

There are chance cards and cards for "additional in-store sales" (AISS cards). These also add some variations and allow for varying situations.

At the end of each month, profit and loss are calculated; as well as at the end of the year. Evaluate how things went, what worked, what didn't - and how would this all work in the real world.


Down-sides: 

• The ledger system is a single-line - good for some purposes, but some accounting records need double-entry - this might be an item to add to an adolescent experience, following using this program in elementary - build up complexity in increments. 
• The labels of debit and credit are incorrect - reflecting what your personal bank statement looks like rather than what a real business ledger account would look like. This is easy to fix by simply crossing them out and re-writing them - or leaving those words out altogether. It is also a good discussion point for the children - when is a debit "money in" and when it is "money out". 
• the orders have no actual dates, so we make them up. The program has you calculating all ledger entries at the end of each "month" instead of as it happens. This has benefits and drawbacks in the real world. Another discussion point for the children. 
• the chance and AISS cards can be a tad confusing - how to record them for example: if you had $450 in additional in-store sales, what inventory are you replacing? It doesn't say. So we chose to mark it down as services rendered - perhaps pet-boarding for the day or the weekend; or delivery service. We just have to ignore the other expenses (extra food used, gas, mileage) - this is where this is program is solidly elementary, but would not be appropriate for adolescence who want real world experience. So we make the adjustments, gain the experience and move on. 
• If a chance card says increase earnings by 10% - 10% of WHAT!? It doesn't say, so I created another set of chance cards, that when this sort of card is picked, he draws from the new stack to tell us the percentage of what - AISS, monthly profit/loss, total income for the month, etc. 

For what it is and what it purports to do, it is fun, lays a good foundation and introduces the practical purpose of various math concepts. Can't beat it! It would be great to see something for middle schoolers with more of the "trickiness" included - perhaps that is something to look forward to! 

Passing from One Square to Another

After our work with the cubing part 1 and part 2, I figured it was probably time to officially present "Passing From One Square to Another" since he'd already done the allegedly harder work of "Passing From One Cube to Another" (just subsequent passings at this point - not jumping two sizes).

rebuilding the square of pythagoras from primary
YES, this comes in a LOT in elementary
in particular using the bead bars! 

First he wanted to stack the squares to make a flat pyramid.
Then he turned them a bit to make them "fancy"
(think of all the art ideas a child could do with this work alone!)

Backwards order - he passed from square of 6 to 7;
then he passed from square of 5 to 8.
Hm. Looks like the binomial cube he said.
Then quickly added: but DIFFERENT colors!
(see previous posts on cubing to get the joke)

Displaying the originals with the finals. 

When we were done, we verbalized what we had done. We also noted that pattern on each side - for example, the square of 7 IS the square of 6 plus the square of 1, but with two rectangles add of 1 taken 6 times. The square of 8 IS the square of 5 plus the square of 3 plus 2 rectangles of 5 taken 3 times.

Now let's look at the values: the square of 7 (49) is the square of 6 (36) plus the square of 1 (1) plus those two 6x1 rectangles (12). It adds up!

Repeat with the second square. It still works!



Yep. We did the work out of order - some things are entirely ok to change up! This was all strong interest-driven and the main pre-requisites were in place - that's ALL that matters! We have plenty of time to review the concepts again and again to be sure of thorough understanding. (and see my previous posts this past week on that aha! moment when a child verbalizes something his actions have shown he's known for YEARS) ;)

Yes, scope and sequences are great - they get us organized - but feel free to diverge from it! Cover pre-reqs (could be informally) - that's all that matters!

God with No Hands - Some Follow-Ups

We first did the Story of God with No Hands when Legoboy was 5 1/2. He was just very, very ready for it!

But many people wonder - what do we do after? Follow the child? But how? What materials should I have ready?

Don't REQUIRE anything. Let it sit. Let it fizzle. Let it percolate. I promise in most cases, you won't be waiting long! If at all!

• Have ready everything you have demonstrated to the children - so the children can repeat. 
• Have lots of large paper on hand if they want to copy the charts. 
• Have beautiful colored pencils or watercolors on hand. 
• Have some flexibility in your schedule so you can hit up the library on any given day. 
• Keep an open, trusting mind - and have some questions of your own you'd like to research, perhaps side by side. 
• It is probably best to just have on hand what you need for the remaining geography album pages and don't worry about much else - because honestly, NO one can tell you where your child's interests will go - even I've been surprised by own son! 

My son's original interests were in the volcano (go figure!) but he didn't get into the parts of volcanoes like most children - he wanted to know about types of volcanoes, which necessitated learning some of the parts, but in a different way from a child who wants to directly know that information - and where active volcanoes sit today - and where inactive volcanoes sit. And could one be where we live. We then got into Pompeii. And two years later, our local museum hosted the Pompeii exhibit! Oh my! It was WONDERFUL! We went twice! He had other minor questions which were not as polarizing at the time.

And we moved into the other Great Lessons, instigating a study into ancient history. We began reading through Mystery of History in our own manner - reading a "lesson" each evening, creating an index card for it, then he could select any of the suggested activities from any of the listed age groups to do during school time in the coming week. Well, 2 1/2 years later, we've not quite finished the book because this study branched into Ancient Middle East, Ancient Egypt and Ancient Greece - leading to a study (when I say study, I mean reading lots of books and watching videos and having lots of discussions) of the multiple gods of their religion, leading to an interest in astronomy because of the connections of all those names, leading into a study of clocks and time-telling through history, back into astronomy. And then back into Ancient Civilizations (only reinforced since joining the level 3 atrium a year early). He really has little to no interest in modern history. Ah yes, then he discovered there were more suggested activities in Mystery of History, so he's gone back time and again to review the past stories and add more work in.

And one wonders why I post so little about the direct use of the Montessori materials ;) because it's ALL Montessori materials - the whole world! ;) 


In the meantime, we did another re-telling of the first Great Lesson when he was just past his 6th birthday, with follow-ups that time being the states of matter - heavily into the states of matter. Repeating ALL the demonstrations

At 6 1/2 to 7 1/2, with 2 more tellings during that time, the focus shifted to the layers of the earth, mostly focusing on different types of rocks. Here, he went back to the volcano to discover types of rocks around different types of volcanoes and the use of some of those rocks. Pumice and its uses; some volcanic rocks are great for closet deodorizers - put them in your closet or a polluted area, it soaks up all the smell and pollution and gets really heavy - put it out in the sunlight and the sun's rays burn out all the pollution and you can use the rocks again and again and again. He told me, "Let's buy me a bigger pair of shoes, so I can keep a stone of this stuff in each toe!" (he has raunchy-smelling feet!). I am purposely not telling you the name of this rock so you'll go look it up yourself ;) Isn't it interesting this type of rock would be spewed forth by the very volcano that it helps to "clean up". Kind of a nice balance to nature there, eh!?



Since then, he still continues to come for re-tellings of the original story - told just the same as the first time (with glass test tubes now) - and now he ponders questions of morality: how all these particles have particular laws, obey those laws, and the human race has these choices even though made from the same particles as everything else. He also ties in elements from the later Great Lessons and his own personal research, relating the particles to the planets, or to human peoples and their various methods of migration. His follow-ups these days are not as distinctly coming from just this one lesson, because he has the grand overview, told many times in the last 3 years and he is making connections and discoveries.


Some people suggest changing the story up from time to time - while focusing on just one small section has been a positive experience, I have not once had a positive experience with changing the story at all. The children seem to thrive on hearing the SAME story told over and over and over and over - much like when they were preschoolers! And each time they can listen in for a new detail, a new enticement, a new discovery, a new learning path, all from the same old story.


In upper elementary, children explore other creation stories and make comparisons, exploring how the culture and their stories tie together - what do all of these stories reveal about the Truth and about the ways of life of the people holding to their own story. At this time, it might be feasible for a child to re-write the Great Lesson, modifying it. Or they might enjoy coming back to an old friend.

Research in Lower Elementary

RESEARCH? At age SIX!? YES!!! Research at this age is as simple as asking a question and finding resources to answer that question - then just telling us the answer (or drawing it, or writing it out - or however the child wants to express himself). I guess that is the one requirement to research in the beginning: that they come up with an answer to the original question, even if they move on to other questions.

As they get older and are comfortable with knowing that they CAN do this research and that their questions WILL be honored, then we started with simple steps towards what we adults think of as research.

There is no one right way - except to follow a plan that is totally arbitrary to the child in front of you. Take a general guideline and adapt to the child's needs ;)

The first step for my son was encouraging him to write his answers in his own words. This lays the foundational skills for avoiding potential plagiarism. As he hit spots where he just couldn't do this own words because the others words were just SO wonderful and precise, I reminded him of quote marks to show the specific words of someone, and to put the name of the author and book in parentheses after his writing. Two years later, he is now footnoting these references.

When he starting getting into longer and longer research projects, he started writing his resources used on note cards. Then he could note page numbers of interesting bits of information for future referencing.

At age 8 1/2, he has not yet done full bibliographies with all the printing information --- did you at that age? Some people are aghast that Montessori at the elementary age encourages all this research, but not all the steps that you and I had in middle school and high school (and only minimally in elementary if at all!). When he puts a few paragraphs together, he does provide a list of his resources by title and author.

Speaking of plagiarizing and expectations - a girl at one of the local schools a year older than my son was talking about a report she had to write for school when she saw my son in the atrium doing some research on an ancient civilization. She saw him listing out his sources and where he got each bit of information - very loosely done but a step in the right direction. The two children talked a bit about research and I heard her comment, "I don't bother writing down where I got what, because I just copy sentences from different books and turn it in with a list of books I used." My son replied, "If you don't put direct copying into quotes, then it's not your work and you're stealing from that author who put a lot of work in that book!" (I never said those words to him! Not like that!) "Yeah, but I tell the teacher which books I used." "But if your report has your name on it, you're lying and saying it's your work when it's not. Just put it in quotes and say who said it - or say it in your own words. You wouldn't want to be a liar or thief!" She thought about it for a bit; walked away looking kind of angry and kind of sad; went back a little while later and asked him to show her what he meant. I didn't hear all the details, but I thought, "Wow - my son is really catching on!" And he wasn't being mean about things either (he can have a bit of an attitude so I was very proud of him in that moment).

Think BABY STEPS. Develop those habits in tiny steps at a very young age, and the work will just flow when they are older without having to unlearn old habits or develop new ones.



Use resources, aim for as many real experiences as possible, within research and without. This second one can't be overstated - you may not be able to take your child to an active volcano, so you may need to bring in videos or visit exhibits of as real-life as possible, but you can certainly get your children out into the community, talking to "experts", visiting those exhibits, sharing your stories of being at various places, touching the rocks that come from various types of volcanos, finding out what those rocks can DO for us, planning a real or pretend long-distance trip somewhere (and all the skills needed for that!), and definitely helping to plan real trips (errands, etc.). These skills are just part of real life and are not specific to Montessori ;) These things all help to develop planning skills, organizational skills, survival skills (even as basic as what to do if you are lost in a public place), and other life skills that we all want our children to have.

Real experiences :)

First Great Lesson: God With No Hands

This is one of those posts I'm not quite sure where to put. Perhaps I should really do a blog over at Keys of the Universe - but I'm not sure I can do one more blog ;)

So I'll do my best to focus this on OUR home and OUR co-op ;)

Many times, I have stated that I strongly prefer the AMI albums over AMS albums and I provide several reasons, repetitively ;) It is because I feel SO strongly about them! AMI albums are keys-based, so to use the First Great Lesson, there just won't be as many demonstrations the first time around. They USED to have a WHOLE BUNCH in the initial presentation, but over the years of careful observation, several of the demonstrations have been separated out from the first Great Lesson of God with No Hands, into their own follow-up album pages. Thus a child can focus more on the main points at hand, then have plenty of review later for follow-up and emphasis on new or additional points. States of Matter, Further States of Matter, and Attraction and Gravity are three such "additional" album pages. Hence those album pages are as brief as they are!


(I say "demonstrations" here and need to adapt my albums to say the same thing - these are truly demonstrations much more so than experiments - we know the outcome and we are seeking to demonstrate a scientific principle - when the children are working to answer a question, form a hypothesis, set up a test, see it through and evaluate, now THAT is an experiment ;) ).

AMI uses art-forms instead of photography
so the children get the emphasis on *impression*
thus providing opportunities within
their research for finding real photos
 of the various principles in action.
And it encourages the children to re-create,
thus encouraging creativity.
There are a variety of stylistic versions.
Keep them simple!

In our home, we stick with that. I at first thought I would add in all the great ideas from Miss Barbara's site (since I'd been reading that long before I had elementary training, and despite being overwhelmed by it all before going into any Montessori training, I thought it was still great and easily adaptable to my own family's needs)... but after observing and working in several Montessori classes during and after the elementary training, seeing the variety of ways the story was done, and the children's reactions....

Well, I stuck with my album page. It really hits home, focuses in, incites interests, and gets personal studying going. It didn't NEED anything else. Just those SIX demonstrations: see this link for the six.

And especially being at home, with an only child, and a part-time (one half-day a week) co-op, the minimal keys-based approach with lots of review just really made sense for us, allowing me to present in short bursts, leaving lots of time for follow-up and research, opportunity for me to observe and present another focal point of interest at the appropriate time, without feeling like I had to have to just *everything* in place at once, or (potentially) overwhelm the children with too  much information. Focus - concentration - didn't I spend all of primary focusing on keys - focus - and concentration development? ;)


So at almost age 6, my son received the first Great Lesson, along with two young ladies (ages 10 and 12 at the time) - and they were hooked!

I wish I had taken photos at the time - I didn't :(


I had my large charts from training - at-home versions are good at half that very large size - 12x18 or so is perfect when feasible, but I used what I had ;)


We also had some supplies from Magic School Bus science kits - the test tubes are not the best idea for later work when you want to hold a test tube over a heat source or place it in hot water (the plastic melts), but it all worked for the first Great Lesson. I love test tubes for demonstrating layers (introduction to density) because you such a small amount and the children LOVE to repeat this work! They can use SUCH control using just small quantities and pouring into the narrow tube - or using eyedropper to transfer various liquids - lots of fun! LOTS of concentration!

We changed up some of the stuff to be melted - I did not have time to find non-lead solder (a little goes a long way when you do buy it though - so it IS a worthy investment) so I think I used a chunk of plastic; and I used an old key for the non-descript metal (broke the rules there, but again, it is what I had!). Another alternative to the solder is that plastic craft stuff that you can melt in hot water then shape into what you want - a bit of that starting to truly melt is perfect. The idea is to use different items to demonstrate the principle at hand, without getting all technical and detailed. Display, and move on with the story.

I also subbed in quinoa for the bebes or iron shot - because it was on hand ;) No other reason! You want particles that can be seen as they roll over and around each other.



When the children have a question, write it down for them so they don't forget. These questions become their research.

RESEARCH? At age SIX!? YES!!! Research at this age is as simple as asking a question and finding resources to answer that question. As they get older and are comfortable with knowing that they CAN do this research and that their questions WILL be honored, then we started with simple steps towards what we adults think of as research. (more in the next post!)


Want to know our follow-ups to the first Great Lesson, the first time around? And other times? See two posts from now ;)

Cubing - Part 3 - Just exploring

After all was said and done, he really, really, really wanted to just build with the squares and cubes. Ok, I said - but you have to graph out your creations. He agreed and off he went:

The camera batteries died after that - and my own batteries were slowing down so I didn't replace the camera batteries until the next day. When he graphed this on paper, he did it two ways - straightening up the inside pieces as he worked:

1. straight down - so just the tops of each piece. He wasn't satisfied with this because it was a 3-d work. 
2. he tilted it and drew it out on the graph paper with diagonals in some of the boxes to show both the tops and the full fronts of each piece. That is better he said, but still tricky. He colored the sides in a darker shade of each color than the tops (outlining the tops of the white walls in gray, and coloring gray for the sides). 

So what did this work entail: 

• geometry
• art
• aesthetics
• architecture
• planning
• viewpoint adjustment

Good skills going on!