Upper Elementary in AMI

Upper Elementary in AMI

Every once in a while I hear that AMI does not "seem to have much for the 9-12 year old." I have to admit I am perplexed by that statement. As a mother of an almost 10 year old boy who is in the middle of upper elementary right now and "started" elementary a bit "early"... well, he's still pretty busy. On the one hand, I am entirely amazed at what we have accomplished, but we also started elementary at 5 1/2 (giving us more time) and he's an only child of a single mom who runs two businesses from her home and off/on has part-time work outside the home (read that as: lots of free time to avoid school work and play with Legos instead). On the other hand, now the DEEP work is part and parcel of our everyday lives, I can't imagine adding anything MORE to what we do ;)


Here is what I see when I look at AMI albums compared to other albums, in no particular order:

• AMI albums have a general presumption that a child has done all or most of the work in the primary albums. 
• A child not coming primary IS given remediation sections in mathematics and language to "bridge" into elementary without that previous background. These DO NOT repeat the primary albums, nor do they take as long. A normally developing 6 year old starting elementary Montessori can anticipate being less than a "year behind" his peers by the 3rd year of elementary, and likely not even that much. I say "behind" in quotes, because no child is truly behind - he is where he is and we work with the child in that place (this is what following the child means - following his NEEDS).
  
• I personally strongly encourage use of the sensorial album with new elementary children; utilizing the presentations as "challenges" rather than presented work. It generally takes less than a month of daily sensorial activities to lay a strong foundation (while doing other subject areas of interest/need). But that is just my personal experience speaking.
• In general, AMI has fewer materials, with more use of the same material in a variety of ways, going deeper with the one material rather than spreading out to more materials.
  
• AMI lays the foundation and expectation for a child to go deeper with his work, ask his own questions, seek out answers and collaborate with others. There are cues along the way, begun in primary and continued throughout elementary - we do not provide all the child's math problems for example, but provide prompts of the sort of math problems to create on his own - we can monitor his work and prompt areas that need attention.
  
• Upper elementary (ages 9-12) does not entirely repeat 6-9 - but all concepts are reviewed. Since personal research is encouraged from the get-go, by the time a child is in upper elementary, he should really be going much deeper with his work. Review concepts in history, for example, and most if not all upper elementary students should be delving into their own personal study of local national history, state/province history, and another area of choice (generally children have an area of history they flourish in - GO with it).
  
• AMI does NOT bog a child down or remove his imagination, creativity, or passion for learning by dictating every single study he does. AMI provides keys - a foundation and a framework - then provides guides for following particular interests (Goings Outs, history question charts, reading great literature and delving into the language used, music experiences with the tone bars, economic geography, etc.). If a particular child or family has a particular interest or value, there is now time to follow that particular pursuit because you do not have 6 hours of schoolwork dictated to you for every day of upper elementary.
  
• AMI does not utilize some materials in lower elementary that WERE used in primary, that some other albums say are still necessary at lower elementary (some of these items, such as the small bead frame, are not even used in AMI remedial mathematics at the elementary level - yet it is a "crucial" material in other elementary albums --- all those concepts can be covered with the large bead frame and NOT slow a child down) ---- thus beginning to go deeper, sooner and freeing up time/effort at the upper end of the age spectrum, when children in the well-run AMI schools DO get into algebra in 6th grade (not ALL children do! even at the best top-notch schools - again, we follow the child --- but here is another point: many children do NOT get to all the presentations in the math album and have more to do as they enter the adolescent plane of development.... so how can there not be enough in math?)
• I can ALMOST see the concern in language - there is less "dictated" - there are less "direct lessons". This is a benefit to the child if they have done most or all of the official lessons in the language album before getting to upper elementary. Now they can explore IDEAS, delve into speech, debate, drama, writing papers in one style, then re-writing in another style for comparison ---- hitting on all those extensions of the early album pages that they weren't ready for in lower elementary or didn't have time for (because of all the personal research they were doing).
  

In summary, AMI is so RICH with the actual keys and with the individual paths of the children, that the only thing I can fathom in trying to understand "there's just not much there for an upper elementary child" is that "there is just not much there for an upper elementary child's parent to directly teach (if all the "lower elementary" work is done)". If all the lower elementary isn't done - well, there is what an upper elementary child can jump into, have fun and explore!



If a child has done ALL of the suggested work for the lower elementary child, here is a generic (not near as detailed as it could be) run-down of the work for an upper elementary child:
(please keep in mind that most children will not get to all suggested topics in lower elementary, because their interests and needs are elsewhere; some will delve into upper elementary topics earlier, but will need to get the other topics later)
(music is not included here - follow the child entirely on this one)

Geography

Chapter I: Creation of the Earth/Idea of the Universe

God with No Hands - experiments - follow-ups

Additional Creation stories

Composition of the Earth

Further Details of the Composition of the Earth (stages)

Formation of the Mountains

Chapter II: Nature of the Elements

Further States of Matter

Different Ways of Combining

Separation, Saturation, Super-saturation

Attraction and Gravity

Extensions of all of the above

Chapter III: The Sun and the Earth

Time Zone Chart

Tilt of the Axis: Solstice, etc

Seasons and the Two Tropics: terminology from tilt

Chapter IV: The Work of Air

Review entire chapter; cover anything missed; select follow-ups to research

Chapter V: The Work of Water

The River

The Rains - Erosion

Ocean Waves

Ice

Spread of Vegetation

People in Different Zones

Chapter VI: Human Geography

Human Geography (Economy)

Overview of Local Government

Follow-Ups

Study of Natural Resources - Introductions

What is Produced and Where

Study of Consumption

Study of Consumption - Follow-Up (extensive)

Comparison of Production and Consumption

Imports and Exports:

Volume of World Trade

World Commerce

FINAL NOTES: Children should be studying in areas of interest (astronomy, physics, geology, etc.) Topics of less interest will be covered in middle/high school.

Biology

Biology – Botany and Zoology

Botany Experiments and Exploration

Story Material

Dissection of Animals

Biology: Classification

Kingdom Vegetalia: Classification

Genera

Familes: Continuing Classification

Geneaology of the Plant

Tree of Classification:

Kingdom Animalia: Classification

Biology: Ecology

Ecosystems - variety

Language

Chapter I: History of Language

The Story of Communication in Signs

The History of Written Language

The History of Spoken Language

Chapter II: Grammar and Syntax

Compound Words - Conversations

Additional Grammar Symbols

Verbs - Simple Tense: Present

Verbs - Simple Tense: Past

Verbs - Auxiliary Verbs

Verbs - Simple Tense: Future

Verbs - The Perfect Tenses

Verbs - The Infinitive and Moods

Verbs - Negative Form of the Verb

LA: Simple Sent w Extensions - box 2

LA: Simple Sent w Extensions - on paper

LA: Verbal & Nominal Predicates (linking verbs)

Elliptical Sentences

Order of Sentences

Voice of the Verb

Voice of the Verb - Dictation

Transitive and Intransitive Verbs

Compound Sentences

Complex Sentences - Adjective Clauses

Complex Sentences - Adverbial Clauses

Complex Sentences - Noun Clauses - Direct

Complex Sentences - Noun Clauses - Indirect

Complex Sentences - Noun Clauses - Subject

Complex Sentences: Degrees of Dependence

Chapter III: Written Language

Written Language Part I & 2

Historical Investigation

Heraldry

Runes

Calligraphy

Decoration

Illustration

Illumination

Variety of paper

Exploration of grammar books

The Content of Children’s Work

Factual Writing - Various forms

Imaginative Writing - Various forms

Research and Note-Taking

Chapter IV: Spoken Language

Discussion

Reports

Speeches

Debates

Poetry Reading

Dialogue

Dialogue 2: Interviews

Chapter V: Literature

Introduction to Literature

Linguistic writing research

History of English Literature - research

Book of Kells

Chaucer

Etymology

Songs and Verse

Beowulf

Hymn of Caedman

Anglo-Saxon Chronicle

American Literature

include selections in the classroom

studies of authors and lives

Children’s Literature

older literature selections (pre 1900s)

1900s literature selections

Children’s Literature in the United States

Read and listen to books

Timelines

Biographies of authors

Goings Out related to literature

Other explorations

Chapter VI: Style

Style

Mathematics

Operations

Group Division

Group Division & Word Problems

Decimal Fractions

Relative Size of Terms/Numbers

Division of a Decimal Fraction by a Decimal Fraction

Leading to Abstraction of Multiplication of Decimal Fractions

Division of a Decimal Fraction on Paper

Squaring and Cubing

Squaring with a Hierarchical Value: stages

Pass From One Cube to Another

Cubing a Binomial

Cubing a Trinomial

Cubing a Quadrinomial

Cubing a Trinomial having Numerical Value

The Story of the Three Kings

Cubing a Number with Decimal Value

Square Roots

Square Roots - Abstraction stages

Special Cases - stages

Square Roots: review process and rules

Cube Roots

Cube Roots: Review concept and rule

Other Topics

Signed Numbers: Negative Snake Game

Signed Numbers: Operations (stages)

Powers of 2

Powers of 3: Full work

Powers of 2 and 3: Combined

Powers of 10

Operations Using Exponential Notation

Expanded Power Notation - Intro and Operations

Word Problems

Distance/Velocity/Time

Principal/Interest/Rate/Time

Non-Decimal Bases: Intro and Operations

Conversion of Number Bases

Balancing an Equation using operations

Solve for Unknown: Operations

Algebra Word Problems

Solve for Two Unknowns

All stages in upper elementary typically

Geometry

I. Introduction to Geometry

Various Geometry Stories from History

II. Congruency, Similarity, Equivalency I

Review all concepts in Upper Elementary

IX. Equivalency III

Equivalency with Iron Material: stages

Euclid’s Plate

X. Area

Concept of Area

Deriving Formulae with the Yellow Material: stages

Deriving Formulae with the Iron Material: stages

XI. Circle I

The Circle Nomenclature

Relationship Between Lines and Circumferences

Relationships Between Two Circumferences

XII. Circle II

Area of a Circle (stages)

Relationship Between the Apothem and Side of a Plane Figure

XIII. Solid Geometry

Concept of Volume

Equivalence as Related to Solid Figures

Three Important Dimensions

Equivalence Between Prisms with Various Bases

Derivation of the Formula

Solids of Rotation

Volume of the Pyramid

Volume of the Cylinder and Cone

Polyhedrons

Lateral and Total Surface Area of Solids

FINAL NOTES: Use 6th year to review and consolidate all concepts

History

The Coming of Life Story with Timeline

The Black Strip

Fundamental Needs of Human Beings – Charts --- some portions start in year 4

History Question Charts

Three Phases of History

Second Timeline of Human Beings

Migration Charts

Four River Civilizations

New World Civilizations

Timeline of Civilizations

Timelines for Memorization

American History (National History)

Clock

Personal Timeline

Calendar

BC-AD Timeline

Learning to Read - changing the words on the page

As my son was allegedly "learning" to read, he would make some of the following changes to words on the page:


"three angles" on the page, he says, "triangle"
"Holy Trinity" on the page, he says "God" (or vice versa)
"Mary" on the page, he says "Mother of God"

His mind was seeing the words and interpreting them - and the words coming out of his mouth were on the same topic, and appropriate, but NOT what was on the page.


Makes me wonder ---- all these years later.... is it possible my son was already reading at 2 and 3, but because he wasn't speaking, he wasn't sharing what he was reading (and Montessori does not require reading out loud from the youngest children - they should read and match labels with objects, follow commands, etc. - other ways of showing their comprehension ---- or practicing the words away from the adult and reading the words aloud when comfortable).


I wonder if some of our angst could have been spared if I had adjusted my in-the-moment expectations and just trusted that he COULD read (even when he was reading aloud, then afterward saying he couldn't read because some girl at school told him he couldn't).....

Album Tables of Contents

My Keys of the World website is in transition right now - I thought the sub-folders were working but they are not.... so no-one can purchase on that site! And that means that all the Montessori album tables of contents are NOT available....

So for the time being, I am posted them here:
http://montessoritrails.blogspot.com/p/keys-albums.html

--- a new page on this blog. Albums are available at Garden of Francis (all ages) and Keys of the Universe Elementary (elementary and adolescent; individual albums or complete set).

REVIEW POST: Primary Grade Challenge Math - Zaccaro

(UPDATE 10/28/14: We have added Upper Elementary Challenge Math to our repertoire and couldn't be happier :) See the associated Montessori Trail post.)


Legoboy has another New Love:

Challenge Math by Zaccaro

We are starting with this one - covering grades 1-4 for "gifted children".

I ended up purchasing the entire of books in this series for several reasons:

1. looking for a good set of word problems to review earlier concepts
2. Montessori math and geometry do not align with any other available curriculum (I group the Montessori-inspired curricula options somewhere in the middle)
3. Something just didn't sit right with me concerning the other options. They are useful; I will not say don't use them (especially if they are working great for you! Keep going with what works!) - but there was a mis-match for our family, my principles and my understanding of Montessori. 
4. This set of books (there are several in the series) are designed for gifted children - children of younger ages who have particular gifts that correspond with typically older children. 
5. I wanted to review them for the sake of other families looking for a resource to fill a similar need. 
6. This series also includes some of those allegedly missing concepts, perfectly tying them into the included album pages (associating money with decimal fractions, converting into percents, etc. (NOTE: Please do not flame me in comments regarding missing concepts - I've covered this topic before, I am not saying Montessori is wrong, and I'm not saying the concepts aren't there - I am fully trained, I know where the concepts are and where they fit in. Comments of a flaming nature will be removed. I'm done with flaming when I speak peacefully. Thank you for speaking respectfully.)

Word Problems: 

     A few people have shared a few solutions to the dearth of word problems - and the lack of time to create their own (and my lack of time to create my own!) for each and every concept. Especially in a sporadic co-op/tutoring, mostly homeschooled by himself situation, there just aren't classmates around to pull up the caliber - and I am one person unable to cover everything (stop laughing!). ;) 

Montessori Mathematics and Geometry Studies: 

     Montessori math and geometry use hands-on materials to bring the children to the point of abstraction. In some areas, it seems that the children hold on to the materials longer than their public school counterparts, but once they release the materials, they are almost always ahead in conceptual understanding. Where we have children not able to apply the concepts, we have a situation where the adult likely didn't assure the child was working with appropriately challenging work and likely didn't ensure there were appropriate real life word problems and experiences available. 

Not sitting right: 

     What is about the other options that didn't sit right? I think because they are geared towards public school curriculum, several of the options have already been re-written to correspond to Common Core (the dumbing down of our country's children), and I just don't want to participate. 

     In addition, I really wanted something that more closely resembled Montessori. Life of Fred is a great complement to Montessori elementary mathematics but there are few word problems. 

     I think this is my main thing - I don't want to dig into 4th grade books to find word problems to give to a 1st grader, just to find math skills that fit.  

Young Age - Older Work: 

     Isn't that the mis-match of Montessori to other expectations again? 

Perhaps my reason are the same thing over and over - with different words: I wanted something that better corresponds what we are doing as compared to constantly tweaking, reading, adjusting, pulling "7th grade" materials for a 2nd grader who isn't "special" in that way, but simply has been given the tools to go deep with his understanding.... I was (and am!) tired of tweaking already!!!!

What we are using: 

     Legoboy is 1st year upper elementary, or 4th year elementary - and I would NOT say he is gifted in this way. However, he has received the keys provided through Montessori throughout his life. As a "4th grader", we started with the primary level book to review past concepts - kind of catch up in the word problem category. We did great for 1st-3rd grade, but I'm done tweaking (have I said that yet!?) and I have to be done looking too. 

Legoboy loves it! He is actually working out the math in his head or on paper as needed, then he challenges me with it. Even with Life of Fred, I have to "encourage" him to record any work, or answer out loud. He just wants to read the story (although he can do the math in the books). 

How it is set up: 

Each chapter contains some background/how-to-solve information on a particular topic - most is review for Legoboy, some is new or said in a new way. Then there are 4 pages of problems - 1-2 page(s) for each "level". The chapters can be done in any order, but easier concepts are towards the beginning. Chapters can cover a variety of topics but are generally somewhat grouped together.

The four core books we will be using are the following: 

1. Primary Challenge Math - grades 1-4: Includes chapters on Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. This book includes topics that Montessori has in upper elementary. Guess what? That tells me it is likely to trust a child's abilities and correspond well. I am NOT disappointed. 
2. Upper Elementary Challenge Math - grades 3-5 (this is available for pre-order, shipping in April)
3. Challenge Math - grades 4-9: Includes chapters on Astronomy, Algebra, Problem Solving, Percents, Fractions, Decimals, Ratio & Proportions, Physics, Statistics, Probability, Metric System, Perimeters, Area, Volumes, Trigonometry, Calculus
4. Real World Algebra - grades 4-9: Includes chapters on Language of Algebra, Geometry and Algebra, Proportions and Algebra, Physics, Levers, Pythagorean Theorem, Percents and Algebra, Simultaneous Equations, Algebra and Money

We also have the following that at first skim have been great: 

• Becoming a Problem Solving Genius: A Handbook of Math Strategies
• 10 Things All Future Mathematicians and Scientists Must Know (but are rarely taught)
• 25 Real Life Math Investigations That Will Astound Teachers and Students
• Scammed by Statistics: How we are lied to, cheated and manipulated by statistics and why you should care

I am working on something of a correlation between the AMI mathematics album and these books - slowly creating a correlation. I will share this on the Keys of the Universe Discussion Community in Excel format and will likely post it on this blog at some point in pdf format (this will happen faster if those who are interested, let me know - I'll prioritize it ;) ). 

Sample - Chapter 4 - On Money

 

 

Online Presence

Keeping it Real

(was scheduled for the 21st, then I wanted to post about the economic geography stamps, so I've rescheduled this for the 26th).

A recent visitor to (apparently) all of my websites/blogs noted something interesting:

With the exception of Garden of Francis (which uses a minimal amount of stock photography), I use absolutely NO stock photos. All of the photography is either genuinely my own, came with the blog template (such as this one with the geese in the background), or is utilized from NASA's site (with proper permissions given/received).

Yes, that is MY son (Legoboy!) walking down that lane of trees at Grandma and Papa's home in the right side-bar of this blog.

Yes, that is me and my son enjoying dessert at (his great-)grandmother's 90th birthday party in my "profile" picture seen in various places (like the bottom of this blog in the footer above the flags).

I kind of noticed this "lack of stock" before - and I've had friends and web developers tell me I "need more photos of children" on my various sites, because it makes people feel cozier, more comfortable.

Well.... I do have photos of children - but 1) minimal 2) appropriately located 3) NO names. I do NOT have photos of children on any sites I am "selling" something (except my son, with me).

Contrary to efficient marketing practices? Perhaps. But I'm honest. I am not going to use a child to sell you something that doesn't stand on its own as useful for you.

And I want my sites to be "real" to ME. If I can't be real to myself, how can I be real with you?


There IS something off-putting (for me) when I visit a site that has a lot of stock photography - or minimal stock photography, but that's all they have - especially when I've seen some of it before or something similar. Interestingly enough, one popular Montessori album website has a particular stock photo up that actually VERY closely resembles a photo that came up on my Garden of Francis error page recently when the server was down. WE-IRD!  (no, the error page was not linking to anything Montessori related - it was simply putting up a rotation of education-related stock photos - and the photo was different enough to know it didn't COME from the other site - they are obviously both stock photos).

It is also off-putting to be on a Montessori album website and have only stock imagery - not even photos of Montessori materials or children in a Montessori classroom - but truly, stock photos that have nothing to do with Montessori.

I'd rather be on a site with no photos, than know that all the images I am looking at are "generic". Alternate, sub-reality or some such description comes to mind.

With that said, a couple of my sites could definitely use MORE images - just real ones ;) My sites are far from perfect!

"School Days" postings....

MBT keeps catching me ;)

I'm always sad that you don't do "school days" posts from your house. 

Why don't I? I've been asking myself a similar questions for a couple of years now. I'll post on projects, I'll post on studies, and I did do something of a sample day a while back (wow! Just pulled it up - it's from 2 years ago this month! and it was nothing 'special' but it was typical).


But really, looking at the previous post..... that's our days. We're pretty relaxed about specifics, but rigid about expectations - I expect the concepts to be mastered while balancing the reality of my son's needs. I run two businesses out of my home, teach in the atrium 5 days a week, tutor ever-changing groups of children; he has tae-kwon-do, his Lego projects and his books and games that he wants to get to, so he gets his chores done, works on his school projects mixed in with his other personal projects - and it all just sort of happens. Not always on MY time table (how many times it is 11 at night and I wanted to give a new presentation that day and need to hold off another day? Yeah, that has happened many more times than I care to admit), but when the presentation happens, it is always the "right" time.


Summary??? We just don't have "school time" - it is all mixed into our entire day. If I give a new presentation at 9 in the morning or 9 at night, is just based on our very-similar-to-unschooling approach. I have the responsibility to give him the keys; he has the responsibility to learn those keys, assure his "local educational requirements" (for this year: MY requirements) are covered; then he has the freedom to follow his interests along with the corresponding responsibility TO follow his interests, go deeper - and not just "slack off".

We have a routine, rather than a schedule.


There is one major difference between now and 3 years ago: at upper elementary, it is almost ALL projects now. Or studies of some sort. Less "new presentation on a specific skill" and more "develop the use of this skill previously learned". 

From 1st year of lower elementary -
life and school are "one"
Interestingly enough - without the Montessori materials
becoming "toys", they are part of our every-moment lives

For example in math: doing more difficult and/or more practical life mathematics problems, creating notebooks of the Primary Challenge Math (review post coming soon), working on his Pet Store math project (took a LONG hiatus when the computer holding that file fried - just pulled it off the hard drive last week).... We do have math presentations yet to do - in several chapters, but I know the reality is, I present the keys, we find a real life application for it and we review the concepts as needed. If we finish before adolescence, great (I think we will....); if we don't, there IS some wiggle room. Even if we continue to review concepts and go deeper, I fully anticipate we will have begun every topic/presentation before adolescence.

In language, he is "done" with the album, but needs some review with the sentence analysis work (mostly so I can check materials I am developing, but also for his own review), he reads and studies literature to no end, and he is increasing his depth of writing skills, he is practicing calligraphy --- but the official lessons are "done". He does need to get into a book discussion group of some sort (think "Junior Great Books" style would be perfect!). We'll continue to review the Great Lesson there. He is also doing Cover Story and writing some of his own creations.

In history, he is still going deeper and deeper with ancient history (LOVES IT!) and slowly plugging his way through US History (a huge bore for him - this has been a LONG process). He has also been going deeper with the history work in the Catechesis of the Good Shepherd atrium, getting more into typological studies, History of Israel and more. At least this work is pulling him more and more into closer-to-modern times. We'll get there... right? ;)  He is technically "done" with this album as well - but review presentations and going deeper with particular topics are always a necessary thing, even in the classroom. Now is the time for his own personal studies and interests.

In music, we are definitely "behind" --- too much else going on. NEED to get those tone bars set up at home! But he continues with the piano (slowly - he is mostly self-taught, so it's taking time), loves to sing, we analyze music, he loves classical music, and all things Lord of the Rings/Hobbit movies.

Biology - we're still going strong on the herbs. We're in need of doing the more complex scientific classification material; otherwise we've done the album a couple of times and will cycle through it again, going into deeper studies - with full-on animal dissections, using the microscope, and....

finishing up remaining suggested experiments/demonstrations in the biology and geography albums. We could probably work on some more memorization of things like state capitals, but we play a lot of geography games. And we do have some economic geography and a few presentations remaining in each of the chapters (except the first 2?) but honestly - not just very much "new" here - what is left is review and going deeper.

Geometry - we DO need to finish up the last couple of chapters. We just kind of stopped at one point. Interest is there - my own time is not. Area and volume concepts need to be thoroughly reviewed and solidified - all else is there.


Wow. Did I just say all that? He'd be in 1st year upper elementary at a Montessori school right now. With 2 more years to go after this one.



We are right now living exactly what I've been saying in all sorts of places: the AMI albums have allowed us to learn the keys, explore personal interests, have time for real life and relationships with other people, without having to worry about "getting it all in". Sure, there are areas I feel behind in - but I know the depth we've gone to, the amount of time Legoboy has spent in productive personal pursuits - and I'm not worried about it. I thought I was, but now I write all of this out - I'm not.

Non-AMI albums tend to have so much "more", but I'm not convinced they encourage the depth, the personal interest or the true follow-up work --- and I've seen so many families who could benefit from continued Montessori go elsewhere because they were either 1) overwhelmed with the number of presentations/materials or 2) underwhelmed at the response of the children.
And a recent survey of sections such as "human geography" (which includes economic geography) demonstrates that what is truly meaningful to the children to build up cosmic education and "peace education" - just isn't there in other albums. No wonder people keep asking me about the peace education components - I don't have them, because they are all deeply integrated into all of the albums I have.

The math album is HUGE and goes so much deeper than any other Montessori album - the concern there always seems to be on "fitting it all in". There is wiggle room, but again, if we are focusing on the keys, encouraging the children to go deep, create their own problems (with structured guidance from the adult), then they are truly mastering the concepts and CAN move forward at their own pace. If they finish before adolescence, great; otherwise, there is some time.

My son has had time for so many academic personal studies outside the Montessori albums, because he was given the keys, expected to master them, then set free to just BE himself.

To reiterate a point from above, because it is so often missed: I expect mastery of skills presented - and I expect that Legoboy will follow his interests and go deep with this studies. It is an inherent expectation, that when not present, does allow the children to fall into shallow work and never really reaching their own potentials. I expect it (in my words AND my actions), I assure the tools are available to make it happen and get out of the way when needed. :)


You know - part of this unschooling-feel is our school space. We don't have a school room or a school space. We have a home. We have an 850 square foot apartment with a library in my bedroom, sewing, tons of felt, wood-storage (the wood-cutting happens elsewhere), garden in the living room, school materials throughout every --- single -- room (Sh!! Our dissection specimens are in one of our kitchen cupboards - NOT anywhere near food, I promise), Legos (oh dear! do we HAVE Legos), art supplies, books everywhere. And yet, only the bedrooms are "cluttered" - the other rooms are just "full". My living room floor I keep clear. I need space somewhere to just breathe! I will post a "school-home" tour soon ;)

I WANT a dedicated room for school materials, even if we use it for other stuff too - just one place to display all things school. I sometimes wonder if I were ever granted such a gift, would I even utilize it as such - because we DO see all things we do as life-education. Maybe I don't want to change. I say I do. I think I do. But maybe... I don't?


Hm. ;)

Montessori Economic Geography Stamps - Now Available!

The Economic Geography Stamps are now available for pre-order at Garden of Francis. (click here)
UPDATE! They are NOW available for sale!!!


Shipping NOW! They will begin shipping out prior to March 1. I am taking pre-orders to see if it is worth purchasing the tackle-boxes and the wood holders in bulk, or just buy a few at a time as I need them.

My son is so excited! 

(ok, I am too!)

I am so happy to be offering these for substantially less than the ONLY other set available anywhere online that I can find - and they correspond with our KotU geography album!




By the way, side-note: if, as we are using them, anyone wants a different stamp image made, the process I'll be using can very easily accommodate this! In fact, after this first batch of these ones, I am going to look into making stamps of other images for other themes.





Montessori Elementary Economic Geography Stamps - corresponding with the Keys of the Universe Montessori Elementary Geography Album chapter on Economic Geography.


Each  polymer (not rubber, but like rubber) stamp image measures 3/4 inch at its widest; mounted on a 1 inch square cube - with the image imprinted on the top of each cube for easy reference.


Select which set you would like: the core set contains 26 images of mineral, plant and animal resources; the supplementary set contains 14 additional images in more specific items.


Each corresponding tackle-box comes with a cardstock print-out of the included images for that set.


CONTENTS CORRESPOND WITH AMI MONTESSORI ELEMENTARY TRAINING ALBUMS. And are most specifically designed for Keys of the Universe albums.


Purchase your own ink pads according to the color designations of your choice (see the elementary Montessori geography album for further details).


APRIL 2020: Links updated

AMI Primary into Elementary

My Boys' Teacher over at What DID We Do All Day? had this to say in a recent post on sentence analysis:

That's one thing I've never liked much about AMI albums.  The primary albums are so relaxed and breezy and "some of this is advanced work and you might not get to it."  Then the elementary albums are all stern business and like "the child should have covered all that in primary."  

She is picking up on this far more than I did - but I also went straight from Primary training (academic year) into Elementary training (multi-summer - so I started elementary a few weeks after graduating from primary, moving across the country in the between-time) --- and the training centers are probably (?) the two geographically closest centers to one another (don't quote me on that!). I don't know if that had anything to do with it, but with the general Montessori culture of that entire area of the country being AMI-flavor because of the wide-spread communities of Montessori that build up around training centers, I think it raises the calibre more than a bit. Also, the city of my elementary training has a large community of AMI public Montessori schools - they have a whole public Montessori school system! So I am sure THAT raises the calibre quite a bit.

Even in primary training, doing my observations (10 locations required, more preferred) and student teaching (2 locations), I did get the sense that "most" children DO indeed finish the primary albums - or come really, really close. Again - culture of the area? Plethora of elementary Montessori options, so the schools are preparing the children more?

Within elementary training, I also picked up on the early elementary work in each area of "what to do if a child comes in without ample primary experience". So for me, the flow was there, regardless if the children had the primary experience or not. And I can easily pick up with the elementary album and modify as needed - but that might be me.

So I got the transition part for every area. And don't personally see the disconnect as much (I'm not saying it's not there - it's just not as clear to me).


In all areas except ONE.

Clock Time.


In primary we were told, "This is an elementary work, but we could do some language exploration with it." In elementary we were told, "This should have been mastered in primary with basic math functions with time to practice now."

Seriously!?

I submitted self-designed album pages to the assistant of my primary training course because she said she was looking to put something together - in hopes of collaborating to get some great album pages going. She never did anything with it (she was busy, to give her credit) - and I figured I would get the work in the elementary albums. Then... I didn't.


I have to admit - I felt cheated. But that could be tied into the reality of the training center I was at.
(new post coming on!)

Working-Mom Montessori: Shifting the Clock: This is Painful!

I never quite this post finished - because the title of this post is SO true!

I am naturally a night-owl - I do my best work in the evening hours after most people should be in bed and the world is quiet. I like to use my daytimes for being active and social.

I can sleep 4-7 hours a night (going to bed at midnight or 3 am), with a half-hour cat nap in mid-afternoon and life is wonderful. Get me up before the sun though - and life ain't so pretty.


I spent the first week SO incredibly fatigued all - day - long. I didn't know how I would get through the whole month. Turns out, a touch of almond oil infused with peppermint oil on each temple and real peppermint oil chapstick (coconut oil with aloe vera and peppermint oil) were all I needed to get rid of the fatigue-headache and help me re-set the sleep/wake rhythm for the time being. NIC!


The children and staff I have worked with this past month have been wonderful - I have offered my services to continue being the main sub for this particular classroom the rest of the year as needed. But hitting the brick wall of fatigue at 7:30 at night is SO not cool.

The nice thing is - I am so incredibly tired, I'm in bed by 9 every night, and am awake shortly before the 6 am alarm to be on the road by 6:30. I have all prepped the night before so mornings are VERY streamlined, involving VERY little (any?) thinking process at all.

This all means, I am sleeping far more than I usually do - and despite all of that, I ended up sick ALL MONTH.

I am fighting against my own natural rhythm and I am surrounded by germs I'm not yet accustomed to. I have had a drink with me that varies by the week: peppermint tea, warm lemonade, or plain water (each option with honey, echinacea, and maple syrup). I spent one week eating almost nothing but garlic to get rid of a painful sinus infection. While all my remedies/precautions helped, they didn't stop everything from hitting me - but they certainly helped me stay on task with the needed energy and focus. I have enjoyed each of the 4 snow days received during the month (ending up in bed, sleeping off illness each time!).

CAVEAT: When I say "past month", I mean to say "January". It turns out I added an additional (almost) full week (one more ice/snow day off - spent at home catching up on all sorts of little things - like washing 4 1/2 weeks worth of laundry. By hand.) of subbing.


In the end, I love every moment of teaching; and I will love every moment of being home again on my own schedule.

Adolescent Algebra - and More

UPDATE 2019: This review is for the original Algebra for the Adolescent. Mike Waski has now published a second version, in two volumes (one for lower and one for older adolescents) and has separated out the Geometry to its own album entirely. Please visit The Math Institute to learn about all the resources for adolescent math studies!

The algebra album has new lessons and even more photos than before, from all that I hear. And the first two chapters of the Geometry album? Yep. Spectacular!


Original Post:

At long last, there is an "album" for the adolescent age - at least for mathematics - and OH does it COVER mathematics!
Signed Numbers, Graphing, Lines, Inverse Operations, Inequalities, Exponents, Combining Like Terms, Factoring, Absolute Value, Binomial Theorem, Quadratics, Transformations, Sequences, Functions, Exponential and Logarithmic Functions, Polynomials, Trigonometry, Complex Numbers, Further Work (Matrices, Vectors, Conic Sections), Calculus - ALL get their own chapters!

Then Geometry (a whole section on Euclid) and Arithmetic (one page description of what to do) each get an appendix. 

It is perfect! I love it! I can't wait to delve into it with my son (well, yes, I can, because I don't want him to grow up TOO fast; but I am also SO satisfied we have the perfect resource for the middle school and possibly early high school years).

It arrived via UPS yesterday. Yes, I paid $16 and change for shipping. I didn't feel like contacting them to have them send it media mail. I probably could have driven and picked it up for less, but it saved time. (Edit: 8/20/2019 - Shipping prices are different now with the new website, see links below)

It comes printed on front/back, 3-hole punched, ready for a binder....

Or 2 binders. I didn't want that many pages in one thick binder. So I split it, noting the chapter headings contained in each. It comes with two printed cover pages (presumably a "cover" and a "title" page, so I split those to the binders).

Fully Illustrated!!!

If you are familiar with Montessori math (NAMTA presumes you have training when you purchase this album), you will be able to follow along very quickly; the introduction chapter provides a good outline for how to work through the material with the children - not in linear fashion. There is also a flow chart in the appendix which shows initial presentation (everyone gets one way or another), suggested follow-up presentations (not everyone "needs" - some things the child needs to demonstrate understanding one way or another; some things are entirely optional) and the ultimate key experiences (all children should get to those ones).

If you are new to Montessori math, the wordy introduction might be overwhelming but will be VERY helpful.

The materials list is decent, although it lists chapter number rather than presentation needed for (but, ahem, that is more information than the Keys of the Universe albums provide - only listing the material and not even the chapter or specific album page it is used for. Yes that organization is in progress! ). 

GUESS WHAT!? Those expensive wooden squares and cubes we elementary Montessori homeschoolers keep balking at the price for a few small elementary presentations!? And think we might just going to skip? Yeah. They're in here! I am so happy - it means more work with them, more use of a somewhat expensive material - and more fuel for my adamant stance that we don't need "more" materials - we just need to go DEEPER with what we have.
(for the record, I did try to think of cheaper alternatives; in the end, I went with the wooden set from IFIT - I am 100% pleased and I know I can re-sell them if/when the time comes)

Indeed, there are very few new materials, comparatively speaking; most of which can be hand-made, with instructions included; or find relatively easy alternates. 

Other elementary materials include (I'm not promising I am covering it all here - there could be more as I'm just browsing quickly down the list): 

• Geometry sticks
• fraction circles
• bead bars, squares, cubes
• wooden cubing material (noted above)
• Powers of 2 and 3 (AMI only includes the power of 2 at elementary; but the power of 3 is available)
• Second and Third Pythagorean Insets
• Binomial Cube (my friend! the link here is about the trinomial, but the concepts apply)
• Checkerboard
• Pegboard
• Fourth and Fifth Power Material (not included in AMI KotU albums - other albums may use these???)
• Special Triangle Box (the box of 12 blue right-angle triangles)
• Yellow Material (area and volume)
• Large and Small Solids

Drawbacks:

• no page numbers noted in the table of contents. ANNOYING. 
• needs tabs to find the chapters (because of no page numbers) - easy enough fix. 

This album covers a LOT of ground at just over 800 pages. I could imagine using this material for the equivalent of 7th, 8th AND 9th grades, with possibly some of it being a foundation for additional high school studies - it gets into trigonometry, etc. We may very likely do this album for middle school, then see about placement testing or other testing into/out of high school math courses (or seeing how Life of Fred fits into the whole thing when the time comes - I cannot yet say if there are enough credit-hours here for which courses on a high school transcript - I need more time with it, comparing directly with actual trig coursebooks, for example).
EDIT: after attending his workshop, there are portions here that are solidly high school. This album set goes all the way through. 

I highly recommend picking up this resource when your elementary child is around age 10 - so you can have time to get organized with it ---- the author suggests that some of the work could begin in elementary with a ready-child; and the AMI albums (including KotU) have work that COULD bridge into adolescence. So you'll want some time to get a feel for it and find what path your child will need.


From a Facebook post in 2015:

A tidbit for anyone who owns the Montessori Algebra for the Adolescent album/book by Michael Waski ----
pg 221 has a typo he wants corrected: it should say "multiplication over addition" in the next to last line.

And get this - the algebra tiles that are used a LOT? They can be made out of foam-sheets (not foam board - that would be too thick - just the foam sheets that can easily be cut by hand! Awesome stuff. (the algebra tiles include the "green/gray counters" and "skittles" noted in the album)

Links for it (non-affiliate):
The Math Institute (also has some of the materials available for sale)
Table of Contents (will be updated soon)
Samples (will be updated)


I am writing this review on a snow/ice day with lots and lots and lots to do around our home - so I know I've not covered everything I'd've liked to cover. Please ask any and all questions and I'll respond with what is pertinent to what people want to know :)

Caveat: I cannot answer how this album aligns with following any elementary albums besides the AMI ones, because I have only seen tiny portions of non-AMI upper elementary albums.



6/15/2019: Updating to reflect a longer-term link for purchase and to note: GEOMETRY is now available as well!

Adolescent Algebra-Plus Album

I just bought this with part of my subbing income:

http://www.montessori-namta.org/Print-Publications/Adolescent-Readings/Montessori-Algebra-for-the-Adolescent

It will arrive in a couple of days.

I'll let you know my follow-up thoughts after this coming weekend.


My initial thoughts based on TOC and several samples:
I like it. It seems to follow quite well on the AMI elementary mathematics album; a 12-13 year old could finish up the end of the AMI elementary album as needed, then move into this album.

I'm not sure there are many illustrations though. I have been able to follow the samples based on my knowledge and experience with the AMI elementary mathematics album.
UPDATE: Plenty of illustrations! Woohoo!


More thoughts to come. Curl up with some warm peppermint tea and my favorite blanket in my cozy chair that I've not seen for a few months now (it's buried - time to resurrect it!).


(for the record, my final thoughts won't be for a few years yet - not until my son finishes it - and he's only just about to be 10 - so it will be a while ;) ).