Legoboy has been helping me in a BIG way of late...
Not only has he been taking photographs, learning to edit them, and all that photography entails, he has been bringing me food while I sit on the couch working and provides a series of snuggles and kisses to keep me focused and motivated.
And testing everything out for me, for you, for your children.
Ok, so anyone on Facebook the last 2 days knows that I was LOOKING for distractions. Sometimes when something is on the to-do list for a LONG time, it kind of takes over. The to-do list needs that item on it, it cannot, will not, never will budge - even an inch.
Thus, it was physically painful to do one hour's worth of work to finish up the Elementary Montessori Art Album for my wonderfully patient Keys of the Universe participants - it only took me 14 hours.
All day, our last full vacation day at Grandma and Papa's to boot. I thought that would be enough motivation to finish that last hour's work before the boys woke up.
Nope. So much for vacation (for the record, I don't know how to take a vacation, just to be clear).
But at long last.
Here it is!!!!
The e-mail announcement that just went out:
I am so excited to share a new addition to the Keys of the Universe
Album set - the art album is ready! It includes slightly modified
presentations from the primary albums (EPL, Language, Sensorial) with
additional album pages, skills and notes for the elementary child. What
key skills lay the foundation for a strong elementary experience that
allows for creativity and self-expression at all ages, especially in
adolescence (Margaret Homfray noted in one of her lectures the necessity
of teaching basic handskills to the younger children, so that they are
not "learning" a new basic skill during the emotional adolescent years,
when all they should be focusing on is expressing themselves with those
basic skills.
Table of contents is here:
http://keysoftheuniverse.com/albums/ (click on the title of the Art album)
The art album is packaged with the music album here:
http://keysoftheuniverse.com/elementary/course/view.php?id=71
with Online Support (access to discussion community, downloadable
materials, resource sharing, etc.) here:
http://keysoftheuniverse.com/elementary/course/view.php?id=65
Or individually at Garden of Francis:
to print or download:
http://gardenoffrancis.com/index.php?main_page=product_info&cPath=27_24&products_id=274
to download:
http://gardenoffrancis.com/index.php?main_page=product_info&cPath=27_24&products_id=268
Living a Montessori Homeschool Life is like following a series of rabbit trails - they are all part of the same creation, with plenty of surprises along the way! We experienced infancy, toddler, primary Montessori and adolescent Montessori together - homeschool and life. My son LIVED. Come share the journey with us!
Montessori Elementary Homeschool Blog - with documentation of our infant Montessori, toddler Montessori, and primary Montessori experiences; as well as preparation for the upcoming adolescent Montessori homeschool years.
Tuesday, July 15, 2014
Saturday, May 17, 2014
Weather Studies - Attention versus Interest
Some history:
Years ago, my mother gave my son a "workbook" with the Sesame Street character Elmo. The book went through quantities of 1-10, colors and probably a few other concepts I can't remember. At age 3, Legoboy loved it. He was "doing school" as he had seen many of my daycare children doing their homework - mostly he just colored it in. A year later, he picked it up again and carefully filled out each page, only occasionally asking me for clarification on the instructions (yet insisting he couldn't read, rather insisting he was just "figuring it out from the pictures" - ok, maybe. Doubtful.).
When my elementary trainers found out my son was using a workbook (let's forget the part where they know I am a devout Catholic, I intended to homeschool him, and all the things they did NOT know about our home lifestyle (attachment parenting, Montessori materials at home even when he attended a Montessori school - yeah, I was the black sheep of the training already ;) ) ---- there were no uncertain terms about the damage I was doing to my son. My response: he enjoys it, he learned all that information from real life experiences so this was just consolidation, and it was a gift meaning it is not something I intentionally purchased nor intended to use on a regular basis. NOT going to hurt him!
The response: arsenic is deadly in small portions.
I just raised my eyebrow and smiled that mom-smile-of-death that says "Don't even go there."
History part 2: See this post on how we utilize the local educational expectations (public school standards) in our home - namely the age-equivalent of 3rd and 6th grades.
Flash forward to the present-day:
Legoboy finds out that the local public school kids know something about weather studies - a topic that has never drawn his interest. This past week, however, it drew his *attention* - and in the Montessori-world, that is close enough to interest, with a slightly different response.
See, he tells me, "Just the facts, please. Basically, I just want to have a conversation. Can we do something along the lines of a lightunit?"
(yes Legoboy uses the word "basically" at the start of many sentences - all drawn out - baaaasssiklyyy)
Oh - and what is a lightunit? Close family friends of ours utilize a curriculum from Christian Light Publishers. Each subject for each year is broken down into 10 workbooks, that they call lightunits. We have utilized components here and there over the years; for several months, due to personal circumstances, we had to get away from the directly Montessori materials for a while, during a time it was less easy for him to plan out his own studies to work on away from home - so we used specific topics of lightunits to fill in the gaps. And then, not every lesson, not every page within a lesson, and not always every question on a page.
Lightunits are designed to be as child-independent as possible. MANY people tell me, "see it's just like Montessori." Ummmm. That's not Montessori at all, actually; Montessori has a connection between real-life, face to face human beings sharing information and experiences, then the child planning his own follow-up studies in cooperation with the adult who guides his work and assures that proper hands-on real life experiences are available to meet the needs of the particular child before him, something no published step-by-step curriculum can replicate. (but by then, the person who thinks CLE and Montessori are alike is already off doing something else)
While thorough, and the CLE curriculum does trust that a child can learn more abstract concepts if presented properly at a younger age - therefore a curriculum I feel is much more age-appropriate than most - let's just say there was utter relief to come back home to using the Montessori albums full-time.
On to Weather:
Well, we happened to have some of the science lightunits boxed up - and sure enough, in the level 4 set was a lightunit on nothing more perfect than "Weather." The demonstrations within use very basic at-home materials (absolutely nothing fancy until you need the thermometer with Celsius and Fahrenheit (can be two separate thermometers, but they need to measure down into cold temps as well as warmer temps - but our home thermometers that go that high are for cooking - and our cold temp ones aren't aligned well enough for the activity that needs it --- so I printed a chart to cover that part).
And I have to admit. There is something comforting on the part of the adult to hand a child a workbook and say "do such and such pages" (I've not actually had to say to him, since this was his choice); check it when he's done; light conversation and move on. It's so easy. And I don't have materials to prepare, I can DO anything else but sit with him to show him how things work.
But 1) no human connection.
2) I'm not with him - might as well send him to school.
3) If he hasn't truly learned it, I'll spend MORE time working with him - or he'll spend MORE time in remediation than if he'd learned it well, with the proper real-life experience to begin with.
4) Definitely better to go with the Montessori materials and presentations - sure, the child might get the concept quickly, but the child's time is not wasted, true mastery is achieved and you have time for doing "attention vs interest" things via workbook ;)
In my mind, I believe he has learned the material. But has he really? He's not extending the knowledge any further than using the vocabulary words appropriately (look at all that precipitation!), like he would with his other studies.
But again - this was an "attention to" a topic, not an "interest in". His goals seem accomplished; the upcoming public school standard on weather will be fulfilled. And perhaps he will come back around to it and do his own thing later. He has the keys he needs (via the elementary Montessori geography album - work of air, work of water, sun and earth...).
I think I am reticent about this because 1) his typical studies are intense and deep and there are clear signs he is really getting it.
2) while I trust the information in the book, it was just ONE source of information - and we are much more of primary source people here, utilizing a wide variety of resources when primary sources are harder to obtain or understand.
But I will force myself to let this one go.
- Legoboy set a goal;
- he found suitable resources to meet that goal;
- and he achieved his goal.
So yeah. We did a workbook. Well, HE did a workbook. I guess I see it as more of a study guide. Since it is one teeny tiny component of a much larger homeschool and life and experience, he knows that should he have true interest, he can always delve deeper.
How would I have responded if this were a true interest? At this age (10), it's not even so much MY response as my SUPPORT:
- Look to the related key album pages for some review, specifically with weather in mind
- Library trip for books and other resources they have
- Netflix, educational websites for interesting videos
- Noted the weather throughout a day, from one day to the next, start noting patterns including temperatures, barometer readings, etc.
- Watch weather reports on the news
- Read through weather websites: wunderground.com is useful
- Through all of that, different types of severe weather would have come up - probably inciting some type of interest in a particular form: hurricanes or tornadoes or the like. Study them - watch StormChasers, etc.
- Somewhere in all of that, we probably would have come up with some good demonstrations or even experiments to try out. We'd then check for materials and try them out.
- Etc.
Monday, May 12, 2014
Negative Snake Game - Signed Numbers - Upper Elementary
He wanted to build a snake that would definitely be negative - gray - and deep negative - lots of gray.
But see - he is actually just slightly beyond this work. He is 10, but started this work in lower elementary - he was just ready (LOVE that about Montessori ;) ). He needed (and requested) review before we move into operations with signed numbers (negative numbers) and it has been a while since he has worked with the negative snake game. (see disclaimer regarding the name of this material at the end of this post).
Thus, being this work is not a challenge for him, he MADE it a challenge. Instead of bringing down two bead bars at a time and doing this work based on math facts and number lines, he found various patterns:
Well, hey, he's using his math facts ;)
When he wrote the work on paper, before beginning to change the color of the snake, he grouped together each "set" of positive and negative bars, writing -16 for a -4, -7, -5; then writing +12 for +9, +3; etc.
He did this whole process with two snakes - which is a lot. One long snake is usually sufficient - providing a worksheet full of math facts, but he very clearly stated he wanted practice, he wanted good photo ops (to him, these are fantastic photos ;) ), and he wanted to prove his smarts. He said that. Goof.
(Again, I emphasize: ONE long snake is sufficient for one day. Really.)
***Disclaimer: My AMI albums have the following snake games:
1) Addition Snake Game - primary
2) Subtraction Snake Game - primary
(children can review these in lower elementary)
3) Negative Snake Game - later lower elementary or early upper elementary; other signed numbers work can come later
I have heard of other snake games, but these all seem to be one of the following:
1) an extension of one of the snake games listed above
2) a form of verification on one of the snake games listed above
3) unnecessary for most children
4) another NAME for one of the snake games listed above (I have seen the subtraction snake game for the primary level called the "negative snake game" - which makes no sense, because we are subtracting at that point, not "adding negative numbers")
Link to Montessori Nugget on Snake Game names.
So he did.
But see - he is actually just slightly beyond this work. He is 10, but started this work in lower elementary - he was just ready (LOVE that about Montessori ;) ). He needed (and requested) review before we move into operations with signed numbers (negative numbers) and it has been a while since he has worked with the negative snake game. (see disclaimer regarding the name of this material at the end of this post).
Thus, being this work is not a challenge for him, he MADE it a challenge. Instead of bringing down two bead bars at a time and doing this work based on math facts and number lines, he found various patterns:
- all positives/negatives that cancel each other out - eradicate and move on
- grouping together a series of negatives, getting one answer (such as negative 38), then grouping together some positives and balancing it out
- groups of beads (3-bar and 4-bar in positives, eradicate those with a negative 7-bar
- verified by finding all those matches again, grabbing them in matching groups rather than aligning one positive and one negative - definitely a sign he's beyond the work ;)
Well, hey, he's using his math facts ;)
When he wrote the work on paper, before beginning to change the color of the snake, he grouped together each "set" of positive and negative bars, writing -16 for a -4, -7, -5; then writing +12 for +9, +3; etc.
His idea: use the underside of the boxes for the bead stairs. Glue felt underneath the boxes, he says. |
Final answer. |
I started to sort the bars to actually match; then realized, better to show what Legoboy actually does ;) |
So the final value of the snake is the positive (colored beads) matched against the negative beads; what is leftover from either side should match what the snake turned into. |
He did this whole process with two snakes - which is a lot. One long snake is usually sufficient - providing a worksheet full of math facts, but he very clearly stated he wanted practice, he wanted good photo ops (to him, these are fantastic photos ;) ), and he wanted to prove his smarts. He said that. Goof.
(Again, I emphasize: ONE long snake is sufficient for one day. Really.)
***Disclaimer: My AMI albums have the following snake games:
1) Addition Snake Game - primary
2) Subtraction Snake Game - primary
(children can review these in lower elementary)
3) Negative Snake Game - later lower elementary or early upper elementary; other signed numbers work can come later
I have heard of other snake games, but these all seem to be one of the following:
1) an extension of one of the snake games listed above
2) a form of verification on one of the snake games listed above
3) unnecessary for most children
4) another NAME for one of the snake games listed above (I have seen the subtraction snake game for the primary level called the "negative snake game" - which makes no sense, because we are subtracting at that point, not "adding negative numbers")
Link to Montessori Nugget on Snake Game names.
Tuesday, May 6, 2014
Montessori Guide Cards - Mathematics and Geometry
Legoboy has been busy-busy-busy.
He is an awesome reviewer (read: nitty-picky, tedious, tough audience to please) - as he has combed through the mathematics guide cards I have been developing while adding illustrations to, editing and clarifying points in the elementary Montessori mathematics album. One chapter at a time and it is getting done! Yay!
These guide cards are to be used for follow-up work. I moved away from calling them Montessori task cards or Montessori work cards as others have similar items listed... because these ones do NOT provide specific math problems to solve, instead focusing on "select several addition fraction problems to solve. Write them on your paper, use the materials to solve, and note your answers." Or "select several division problems with a zero in the middle of the 3-digit divisor". In this way, the child is still working on specific skills but is not limited by an outside authority.
There is so much flexibility with these cards - the adult can add a card with some sample problems (one of the fraction cards requires it, to keep the initial work within the scope of the material), add cards or notes to utilize specific pages in other resources; the child himself can add these ideas, or add questions to research, ideas for research, note favorite areas of study, etc. Legoboy has come up with some ideas - and my 3 adult reviewers have as well.
Geometry is done - as one complete file only (not divided by chapters).
Mathematics is half-done (through chapter 6) but those who purchase the entire set or the later chapters today, will receive them as I get my final reviews back from (darling!) Legoboy --- there is only so much he can do with some of it, because he is only just starting some of the later chapters, so this last part will go even quicker. By this time next week, all chapters will be done.
They print out with 2 cards on a page - cut in half - plenty of room for adding further ideas or illustrations as needed.
Legoboy really-really-really wants me to point out that an individual child could use these for recording SOME work (not bigger work and not items that need graph paper - but some work).
;)
Garden of Francis - Keys of the Universe Elementary Montessori Downloadable and Printables
Note: if you have paid for access to Keys of the Universe online support, you have a 75% discount code to use ;)
Other subjects are upcoming! Geography, Music, Biology, Language, History
He is an awesome reviewer (read: nitty-picky, tedious, tough audience to please) - as he has combed through the mathematics guide cards I have been developing while adding illustrations to, editing and clarifying points in the elementary Montessori mathematics album. One chapter at a time and it is getting done! Yay!
These guide cards are to be used for follow-up work. I moved away from calling them Montessori task cards or Montessori work cards as others have similar items listed... because these ones do NOT provide specific math problems to solve, instead focusing on "select several addition fraction problems to solve. Write them on your paper, use the materials to solve, and note your answers." Or "select several division problems with a zero in the middle of the 3-digit divisor". In this way, the child is still working on specific skills but is not limited by an outside authority.
There is so much flexibility with these cards - the adult can add a card with some sample problems (one of the fraction cards requires it, to keep the initial work within the scope of the material), add cards or notes to utilize specific pages in other resources; the child himself can add these ideas, or add questions to research, ideas for research, note favorite areas of study, etc. Legoboy has come up with some ideas - and my 3 adult reviewers have as well.
Geometry is done - as one complete file only (not divided by chapters).
Mathematics is half-done (through chapter 6) but those who purchase the entire set or the later chapters today, will receive them as I get my final reviews back from (darling!) Legoboy --- there is only so much he can do with some of it, because he is only just starting some of the later chapters, so this last part will go even quicker. By this time next week, all chapters will be done.
They print out with 2 cards on a page - cut in half - plenty of room for adding further ideas or illustrations as needed.
Legoboy really-really-really wants me to point out that an individual child could use these for recording SOME work (not bigger work and not items that need graph paper - but some work).
;)
Garden of Francis - Keys of the Universe Elementary Montessori Downloadable and Printables
Note: if you have paid for access to Keys of the Universe online support, you have a 75% discount code to use ;)
Other subjects are upcoming! Geography, Music, Biology, Language, History
Friday, April 11, 2014
School Days - Botany, EPL, Language, Geography/History
We have been so way-laid from our plans these last few months as you will see with our botany studies... but I feel like we have utilized this season of Lent to really freshen up and clear out. So now, we can focus on things we love to do :)
Practical Life:
Legoboy got right onto his morning chores, clearing up corners that he'd not quite done just properly the last few days. He even vacuumed (an extra). He must think it's almost time for his birthday ;) Actually, he has really begun to appreciate having a clean home where he can spread out his Lego projects and still find everything.
He arranged the prayer table a new way - with only a week to go until the start of Holy Week, he wants to be ready for some planning he has been doing for the Triduum. He lit the candles for prayer time and replace the old with new.
Botany:
I wanted to replant our herbs in October or November, start the seedlings then, so that they could benefit from our south-facing balcony window through the winter and be strong hardy plants by now.
All of our herbs except marshmallow did NOT make the full cycle of life from our last planting. :(
Yeah. Um. Or not. Here it is April - we finally got them in.
According to our plans from last time, we made some changes:
Practical Life Moment (as if herbs aren't practical ;) ) --- he went down to check the mail....
And we got our package from a Mountain Rose Herbs giveaway - I love winning giveaways!!! In this giveaway, we received a package of dried herbs: marshmallow root, chicory root, astragalus root powder, milk thistle seed, and burdock root --- all of which go along quite nicely with this month's Herbal Roots Zine which is on chicory. Many times, we can't do all of the recipes because we don't have the ingredients on hand. No excuse this time ;) So when we get to actually reading the Zine next week, we'll have what we need. Yay!
Our herbal studies have really gone deep. I blame Montessori on that. I can't imagine having time or energy to explore the options and make any basic herb-learning selection if we used any other curriculum. Using Montessori, this IS our botany studies (after the basic lessons). I know I gush about that freedom of time we have - but it is SO true! We worked out a plan today to choose one day a week to be our herb day - it could be reading the Zine and doing some of the activities, doing activities or watching videos from the various newsletters we are signed up for (Learning Herbs, Herbal Roots Zine, are the two that come to mind right away), doing or creating something from the kids herbal books he has, doing a recipe from the Mountain Rose Herbs catalogs (because they have recipes in there --- teas, foods, medicines, candies, you name it!).
Mathematics:
We are taking a short break from the Montessori lessons while I create the follow-up cards for the upper elementary portions - I want him to work on these sections from the beginning, rather than what he's been doing (reviewing the lower elementary follow-up cards for typos and logic).
We played Act Your Wage again today and discussed some variations to try out next time. I'll post how all that goes ;)
I then assigned him some real life word problems of a sort, using our home finances as the foundation. It is amazing the insights he comes up with by "handing over" the finances to him. Not that he is really doing our home finances, but allowing him real life participation in real numbers and real situations, he sometimes comes up with ideas or asks just the right question to get me thinking of something better. And he finds the applicable Scripture passages when it comes to certain situations as well. He is the one to coin the phrase I have used a lot frequently: "the wife is to increase what the husband provides for the family". Well, that is perhaps a topic for our Catholic Hearts blog, but it ties in so well with our Montessori studies of real life, real experiences, inter-connecting all areas of school and life.
With these word problems, he has been looking at basic interest rates, savings rates, expenses, ways to expand our budget, etc. Utilizing both math skills, as well as logic, problem solving and ethics.
Geography/History:
As an upper elementary student he is really delving into exploring the various beliefs about the origins of the earth and the early history of humankind. Last year, he explored various creation myths from around the world; he wants to get that book again from the library - I will post about when we do because it is recommended in the elementary Montessori albums and he wants to create some sort of analysis of the similarities amongst each one, as well as the differences - then see what those differences have to do with the culture the story came from.
Today he read a chapter from a book he has on Creation vs. Evolution.
Language:
We finally had our discussion on what a debate is, how it works, no winners/losers yet how we can analyze a person's evidence as well as the presentation of that evidence. Look at the questions still unanswered and how many debates prompt people to do their own research.
All of this ties into his earth origins studies, because of the recent Nye/Ham debate (the link is creation perspective but I am short on time and can't find a link without a "bias") - we own the DVD - I watched part of it online but didn't have time to finish. We'll be watching the debate soon, tracking the evidence each one puts forth and see how well each one does in responding to the other.
Practical Life:
Legoboy got right onto his morning chores, clearing up corners that he'd not quite done just properly the last few days. He even vacuumed (an extra). He must think it's almost time for his birthday ;) Actually, he has really begun to appreciate having a clean home where he can spread out his Lego projects and still find everything.
He arranged the prayer table a new way - with only a week to go until the start of Holy Week, he wants to be ready for some planning he has been doing for the Triduum. He lit the candles for prayer time and replace the old with new.
Botany:
I wanted to replant our herbs in October or November, start the seedlings then, so that they could benefit from our south-facing balcony window through the winter and be strong hardy plants by now.
All of our herbs except marshmallow did NOT make the full cycle of life from our last planting. :(
Yeah. Um. Or not. Here it is April - we finally got them in.
According to our plans from last time, we made some changes:
- use a seed starter within the egg cartons
- make holes in the bottom of the cartons for the roots to not have to through so much thickness of cardboard (even soaked, many of the roots worked their way between the layers of cardboard, but not all the way OUT --- even after watering only the soil to attract the roots to the soil.
- place the egg cartons in the seedling planters immediately (well, they now have holes in them after all)
- place directly in a warm window (we don't get as much direct sunlight right now, but a friend has a sun-lamp to loan us if needed)
- use this blue rack that has been making the rounds (we've used it for home stuff, Montessori stuff, in an atrium, in a Montessori co-op, in Legoboy's bedroom, and now into the living room stacked tall and narrow) --- it really helps all the plants reach the light, uses vertical space and not our entire floor space or play area.
After getting this all squared away, Legoboy wanted to listen to some of the Herb Fairy stories again (Herb Fairies is currently offering a free herb cookbook and will soon open up their yearly Herb Fairy adventures ---- we are SO NOT into "fairies" and the like in our home, but we love this learning adventure!). We chose the one about roses today. Oh! All the things that a rose plant can help with! And the candy from the fruit! (actually you can make candy from the petals too, but the story didn't share that part - which means there is SO much more to learn about all the herbs we've been studying!). So we listened while I worked on tracing figures for a Garden of Francis order and Legoboy built some Lego structures.
Practical Life Moment (as if herbs aren't practical ;) ) --- he went down to check the mail....
And we got our package from a Mountain Rose Herbs giveaway - I love winning giveaways!!! In this giveaway, we received a package of dried herbs: marshmallow root, chicory root, astragalus root powder, milk thistle seed, and burdock root --- all of which go along quite nicely with this month's Herbal Roots Zine which is on chicory. Many times, we can't do all of the recipes because we don't have the ingredients on hand. No excuse this time ;) So when we get to actually reading the Zine next week, we'll have what we need. Yay!
Our herbal studies have really gone deep. I blame Montessori on that. I can't imagine having time or energy to explore the options and make any basic herb-learning selection if we used any other curriculum. Using Montessori, this IS our botany studies (after the basic lessons). I know I gush about that freedom of time we have - but it is SO true! We worked out a plan today to choose one day a week to be our herb day - it could be reading the Zine and doing some of the activities, doing activities or watching videos from the various newsletters we are signed up for (Learning Herbs, Herbal Roots Zine, are the two that come to mind right away), doing or creating something from the kids herbal books he has, doing a recipe from the Mountain Rose Herbs catalogs (because they have recipes in there --- teas, foods, medicines, candies, you name it!).
Mathematics:
We are taking a short break from the Montessori lessons while I create the follow-up cards for the upper elementary portions - I want him to work on these sections from the beginning, rather than what he's been doing (reviewing the lower elementary follow-up cards for typos and logic).
We played Act Your Wage again today and discussed some variations to try out next time. I'll post how all that goes ;)
I then assigned him some real life word problems of a sort, using our home finances as the foundation. It is amazing the insights he comes up with by "handing over" the finances to him. Not that he is really doing our home finances, but allowing him real life participation in real numbers and real situations, he sometimes comes up with ideas or asks just the right question to get me thinking of something better. And he finds the applicable Scripture passages when it comes to certain situations as well. He is the one to coin the phrase I have used a lot frequently: "the wife is to increase what the husband provides for the family". Well, that is perhaps a topic for our Catholic Hearts blog, but it ties in so well with our Montessori studies of real life, real experiences, inter-connecting all areas of school and life.
With these word problems, he has been looking at basic interest rates, savings rates, expenses, ways to expand our budget, etc. Utilizing both math skills, as well as logic, problem solving and ethics.
Geography/History:
As an upper elementary student he is really delving into exploring the various beliefs about the origins of the earth and the early history of humankind. Last year, he explored various creation myths from around the world; he wants to get that book again from the library - I will post about when we do because it is recommended in the elementary Montessori albums and he wants to create some sort of analysis of the similarities amongst each one, as well as the differences - then see what those differences have to do with the culture the story came from.
Today he read a chapter from a book he has on Creation vs. Evolution.
Language:
We finally had our discussion on what a debate is, how it works, no winners/losers yet how we can analyze a person's evidence as well as the presentation of that evidence. Look at the questions still unanswered and how many debates prompt people to do their own research.
All of this ties into his earth origins studies, because of the recent Nye/Ham debate (the link is creation perspective but I am short on time and can't find a link without a "bias") - we own the DVD - I watched part of it online but didn't have time to finish. We'll be watching the debate soon, tracking the evidence each one puts forth and see how well each one does in responding to the other.
Thursday, April 10, 2014
Happy Birthday Legoboy!
The Goof ;)
Decorating his door for his party |
Birthday Strawberry Angel Food Cake (instead of shortcake - and it's whole wheat flour) |
His favorite gift - no surprise ;) |
Monday, April 7, 2014
Personal Finances and Montessori
It is never too early for a child to experience the reality of finances - indeed, the sooner they experience this very real aspect of most modern cultures, the more comfortable they are maintaining their value systems with it and the more likely they are to be creative throughout life in various economic situations.
Montessori does not specifically address "here is an album page about personal finances" - what DO we have in primary Montessori and elementary Montessori?
- decimal fractions - with extensions to include local currency
- language nomenclature - on monetary units
- economic geography - studying the trades and interactions of current times (can be extended to historical and imaginative cultures as well)
- story problems/word problems using money and goods exchanges
- Goings Out - using real money and real exchanges in real every-day life. Planning purchases, planning errands, looking at gas prices and driving routes, reality of putting too many miles on the car needlessly, shopping around for the best balance of price and quality for services needed or desired, etc. Just living real life - and involving all family members.
Doesn't sound like much, but it lays a strong foundation for each family to take those skills and experiences and proceed forward with their own value system in their own family unit.
What have we incorporated into our Montessori experience to get into finances?
Financial Peace Jr. - just the kit; we did not use the storybooks ourselves, but did borrow a couple from a friend. They are good for very young children; they did not go over very well with Legoboy at age 7 and 8. He said, "Yeah, I got that already." I felt it was pretty simplistic for Legoboy personally, because he'd been doing the envelope system of give/spend/save using upcycled parmesan cheese containers, since he was about 3. However, I do think the stories were good reinforcement of the lessons we'd been naturally experiencing his whole life. Ages 3-12 - I like it, but wish it had "more" for the 7-12 children who have had these lessons earlier on. I looked into the high school program he has, but it is more than what we need for a 10 year old boy.
Your Business Math (Charlotte Mason style) - We wrote about the start of Legoboy's pet store here. This has been a great use of percentages, taxes, etc. We've been taking it slowly - and have a few months to go yet. Taking it slower than anticipated has actually benefited us because he can go back to his Montessori lessons, go deeper, then come back to this with new insight. He's even gone back and reviewed a couple of past months to see, "What could I have done different?" or "Oh! Now I see how that part works!"
Just living it - I have involved Legoboy on some level or another in our family finances from the beginning. Frankly, if this step is all a homeschool family does, GREAT! And it is entirely Montessori: real life, real experiences, real discussions, sharing of the family value system. Perfect! In infancy and toddlerhood, the child sees the transactions happening and the parent can verbalize what is happening - "we need $15 to give to the cashier to purchase this food" or whatever it is. In preschool, children can receive a small allowance (Legoboy started with 3 dimes each week: save, spend, give (church)). It is AMAZING how quickly he caught on. He saw a coloring book he wanted at Target. It was 99 cents plus tax. I told him he had his own money now and he could save up for it. When we got home that day, he asked me to write down how many dimes he would need to buy it. I told him "10" (I'd pay the sales tax to keep things simple for him). He TRACED 10 dimes on a piece of paper; then placed a dime on each circle as he got it (only the spend/save ones - he still gave a dime each week to church). When he had 10 filled in, he asked if we could go back. He talked about it off and on during that time of saving up, but he didn't harp on it, and he didn't ask if we could go back until he had them all.
When we got there, that particular coloring book was gone, but he found another one at the same price that was suitable and he purchased that one instead. With his own money. I won't say he was "proud of himself" because I didn't get that impression; but he definitely seemed confident in himself, patient (he didn't stare at the chart he'd made for hours on end - just looked once in a while), and he definitely cared for that coloring book.
At 5, he moved up to 3 quarters a week .Later, I introduced the idea of doing extra work for money. By 7, he didn't get a routine allowance, but he did have opportunities to earn money. Recently, approaching age 10, we discussed the idea that all that he does helps Mom earn money for the household, and yes he should have a share in that, in addition to having his clothing, food and educational needs met. He has always earned his own money for Legos, tae-kwon-do belt tests (I cover the uniforms since this is required "clothing") and tournaments, extra books (though it is interesting to see how much I include under "homeschooling" ;) ), and some other entertainment. Now, we have worked out a daily system with his daily chores and expectations where he doesn't get paid to DO them, but he does have to pay me from that money each day when I have to remind him or the tasks weren't accomplished (thus taking my time away from earning household income, or contributing to the amount of work I have to do to keep the household running - so he's "paying me" for my time spent).
He really takes true appropriate pride in his work. He even said to me one evening, "I am really happy I have to work for the things I purchase. I like gifts, but if everything was given to me I wouldn't be happy - I'd be lazy and not satisfied with anything. But I know how much work I put into having the things I have. They are really mine because I worked for them."
Our most recent addition to the personal finances education experiences:
Act Your Wage - We purchased ours through Homeschool Buyers Co-op (a great place to be if you can control what you purchase - only buy what you would have anyway, just at a discount price!).
This game is great for the 8+ crowd who have some solid basic financial foundation. There is not a lot of math involved - adding and subtracting - comparing greater than versus less than; doubling the emergency fund size. I have read some reviews that suggest it would be boring for adults; and maybe I see that. For our Montessori elementary and adolescent children though? I recommend it quite strongly!
This was a slightly early birthday gift for my big 10 year old young man (ack - I did NOT just type that!!! he is getting too old!) - and of course we had to cancel our plans for a couple of hours and play the game, then discuss/critique it and now write this post.
Indeed, as I think about the parts that others have written low reviews on - and ways to make it more satisfying for adults --- there are so many ways to utilize house rules for easier or harder (use fewer debt cards for younger children; more for older; have some choices built-in; etc.). Modify!
As I look over the few state standards that contain information on personal finances, look over the college level courses I took in accounting, business management and personal finances.... I truly feel that we have really followed a good path. This game is an excellent step along the way; with a high school level course in basic business management or personal finances (both of which fit right in with the Montessori adolescent model!), I am truly satisfied that my son will leave his adolescent years with a solid foundation. The choices he makes will be his own, but I will have given him all that I can.
Yay! Some satisfaction as we hit the double digits!
;)
Saturday, March 29, 2014
Work Journals as Homeschool Proof
UPDATE 2:
The Real Question:
If the only requirements are "equivalent subjects to the local schools" (the state will not define the word "equivalent" - to give homeschoolers more rights) and "attendance of 180 days per school year" (the state, for the same reason above, will not define "attendance" or "school year" - each private school and homeschool can define their own school year, their own attendance, and their own equivalency to local school subjects) starting at age 7 until the child graduates (the state fully supports a parent-issued diploma based on the parent's own graduation requirements) ---- what is the best way to document those requirements while only providing the minimum. Each of these things must be shown upon request.
Solution 1: a list of numbers 1-180 - checked for each day of attendance, noting the "school year" only
(because even a marked calendar actually gives the days/dates of attendance - as the work journal idea presented below --- too much information)
It is pretty obvious if a child can have a generic conversation on the same topics the local kids would study - so that one is a verbal proof.
Solution 2: same as above, but not even noting the school year other than the child's grade level? Or is that too much too?
How can we document attendance without giving more than "attendance"?
I am seriously looking for ideas here! I appreciate the 3 private e-mails I received, but the question wasn't really addressed, which is why I post this second update ;)
UPDATE:
I am pondering my post below. But I am keeping it up - for the sake of conversation - of working out the best plan for those who Montessori homeschool - or even unschool.
Clarification --- Three families in my state that I know of have been visited by DCS in the last 2 months. Each family uses some form of Montessori - and all had a work journal of the basic type that has the date and the name of the work done (not necessarily *what* that work is - such as "bead chain 9" - no description of what it is). With lawyers in place, meetings in their homes with the DCS person, the one thing they each shared with me that they appreciated having (so they didn't have to do anything else) was having that work journal to show *that* schoolwork was done on that day. No way could the DCS person know what the work done even was (and legally couldn't even ask). Apparently one of the lawyers involved also homeschools - and they were ok with the sharing of the basic work journal.
MBT has fantastic comments below - regarding NOT giving more than requested. The trouble in our state is, "what shows what is requested?" Yes, I appreciate the lack of definition of attendance, but how do you show proof of something that has no definition? Each family has to figure out how to do that and NOT provide more than necessary. These families made a particular choice and it worked well for them. Some families just print out a calendar and write the letter "S" on each day school was done. In our family, we school every single day of the week. Pick up any calendar and those are our school days. I wonder if a DCS agent would believe me. But there's my son's attendance record. Every - single - day - of - the - year.
Maybe I am putting this out there so someone else can answer the question for me. What evidence is the bare minimum for showing attendance in a state that doesn't define attendance, but requires 180 days of it - and no other legislation on homeschooling? Is a basic work journal too much? Certainly can be questioned less. How much does this depend on the definition of attendance? A calendar marking school days isn't in the definition either. And that is where the real conundrum lies - for me.
The original post:
Let's pretend you live in a state that only requires attendance in school for 180 days - but the state won't define attendance for private school (and considers homeschools to be private schools).
Portfolios are great; community testimonial that your child is brilliant is great.
But you know what makes life SO MUCH EASIER when someone knocks on the door to question your child's absence from school (presence at home during school hours) ?
Hand them the child's DATED work journal. The contents (style, lay-out) don't matter, but the dates do.
Let me say - it is SO much easier to SAVE those, keep them in ONE place (not hidden somewhere in the piles of papers and boxes of papers that a certain Lego-loving Fiend likes to collect) - then it is to go back and use a calendar to note that school was done on enough days to count for 180.
Do you realize how questionable that looks!? But a work journal, obviously written in different handwriting styles on different days with different writing utensils - so much more believable.
Reality-check: 180 days is half the calendar year. We have school on some level or another every, single, day. 365 days a year. Even Sundays are music (Traditional Latin Mass choir or Novus Ordo chants); Latin with a bit of Greek thrown in; community service (altar serving); history (personal Bible study looking at the historical development); logic (the games we play together later in the day) and literature (Once Upon a Time lovers in this household - and we are always going back and discussing the original tales included in the series as well as the Disney versions - and many times other versions - compare/contrast, discuss the moral implications, changes through time according to culture, what components are the same in all versions because of universal truths, etc.).
Yeah, even Sundays count as school ;) And that's just what we do every Sunday - let alone what we do on only some Sundays (cooking to take food to others in need; art projects of a wide variety).
So, we have 180 days covered in less than the first 6 months of each year.
Of late, I have NOT been as adamant about the work journal as I should be; he does keep a notebook with study ideas, project ideas, he does have his work plan (his organization of the ideas in his head, the requirements he has to meet to attain the goals he has set for himself, and our family projects) and he works from that to move forward with his own work. He does not track dates these days. He should.
So there you have it. Bad idea on my part to not track anything (I don't even have a calendar printed out with "s" on it for every day). We'd need credible proof of 180 days of schooling this school year and last - and a not-quite-10-year-old reading and holding intellectual conversations on high school level literature, doing typical middle school math, pseudo-expert on Ancient Egypt, Ancient Greece and Ancient Israel, running his own small business on Etsy ---- not proof enough of adequate homeschooling.
Not when it is only attendance that counts.
Sigh.
Sunday, March 23, 2014
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:
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
Biology
Language
Mathematics
Geometry
History
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).
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
|
Subscribe to:
Posts (Atom)