Wednesday, February 1, 2012

Super Bowl Village People

Matt loves football, I'm generally fairly down with being a tourist (even though I DON'T love football), and the girls just get dragged wherever we go, so off we went to hang out at the 2012 Super Bowl Village, just up the road in Indianapolis, one day recently.

You get a welcome right up front--

--and ample driving directions downtown--

--which is a good thing, because just in case you were relying on turn-by-turn driving directions from Mapquest, you should know that some of the streets have been, um, festified:

There are a lot of activities downtown that cost money, but are also pretty cool--even I would have liked to go to the Super Bowl Experience to see the championship ring collection, and I DEFINITELY would have done the zip line--but it being Matt's day, and being that Matt's favorite thing to do in the world, other than watch football, is not spend money, we stuck entirely to the many free activities (okay, I would have bought a zip line ticket anyway, but they were all sold out for the day by the time we walked over there).

We posed:

We watched the ice sculptures being made:

We watched participants struggle through the Hundred-Yard Hamster Wheel, cheering them on with the cry, "Be the hamster! Be the hamster!":

And we goofed around on the football field set up just outside the stadium, just under the zip line with people passing hollering overhead every minute or so:

We didn't do everything, no, but we did pretty much all the free stuff, our Matt had a good time on his idea of the perfect budget, and we got away with plenty of time to hit the Children's Museum of Indianapolis and Trader Joe's.

Super Bowl Village, done and done!

Tuesday, January 31, 2012

Coloring Pages and Fine Motor Skills

We've been doing some "formal" handwriting study these past few weeks. It's true that this particular area of study is not so much child-led, since it comes from me noticing Willow struggle through writing something, only to end up frustrated that it took SO much work and was absolutely illegible, and taking the lead to insist that it's time. As a seven-year-old who's been reading since she was five, it's obviously been clear for years that her handwriting needs work, but she's never wanted to, and I've never pushed--until now. I'm feeling that now is finally the appropriate time, however, because when I did insist, Will did not argue.

My Will. Did not argue. The child who will throw a huge tantrum when I insist that she wear pants to the grocery store, or stop reading so that we can get ready to go to the ice cream shop, did not throw a tantrum about weeks and weeks of daily handwriting practice. Amazing and illuminating to behold, that is.

It's quite possible that Will simply didn't possess the level of fine motor skills necessary to pursue neat handwriting until recently, and pushing her would have been much more frustrating (for everyone!) and taken much longer to accomplish than it will now, when she's clearly mentally and physically ready. If she had been in public school, imagine how unhappy she and her kindergarten and first grade teachers would have been with each other!

I'll save the actual handwriting for another day (although if you're curious, I'm doing it myself and using Startwrite 6.0 to create custom copywork). What I wanted to tell you is that in addition to the copywork, I'm sneaking into the girls' days lots and lots of drawing--

--and lots and lots of coloring pages:

The kids are both thrilled about it because every day, they can tell me what kind of coloring pages they want--horses, dangerous mythical beasts, cats and dogs and unicorns!--and I'll find them online and print them out. For whatever reason, the kids haven't asked for and I haven't strewn coloring pages in a while, so they're novel again, and apparently hugely enjoyable, because the kiddos whip out pages and pages and pages each day.

Coloring pages? They're fine motor practice. My Syd, who's been scribbling with a perfect tripod grip since she could hold a chubby crayon, and has had neater handwriting than Willow for years now, colors in each little section with precision, but I've long noticed that Will prefers to paint great swaths of colors across the page, nearly regardless of borders and guiding lines. I've never pointed it out to her, but I've gradually noticed over the past few weeks, as we've been doing both handwriting copywork, drawing lessons with Daddy (more on that later, too), lots and lots of coloring pages, and also lots of these  that I purchased back when Sydney was a toddler who didn't know her numbers up to ten (vastly easy for the children now, and yet they still come back into favor every now and then), that her coloring in has become more precise. Her work isn't yet what you would call "inside the lines," but it's approximately so, these days, and her crayon movements are shorter, closer together, and more conscious of detail.

Mentally and physically ready for detail, my kid. We're also starting book reports this week, because when you're ready for detail, you're ready to perform critical analysis, mwaa-ha-ha!

Saturday, January 28, 2012

Dragon Dance the Rest of the Day

What started out on Chinese New Year as simply the perfect opportunity to get out the dragon puppet kits that I purchased on clearance from some big-box arts-and-crafts store long ago, so that the girls could make them, along with red cake, as our little celebration--

--turned into something else. It turned into this face:

And this face:

And then a lot of this dancing, to some Chinese children's folk music tuned into on Spotify:

How magical these kids are, to take a cheap-o out-of-the-package activity that I basically tossed at them just to clean off my shelves, the most half-assed New Year's celebration ever, and to make it into magic, too.

For the rest of the day, those two dragon puppets were The Greatest Things EVER in my daughters' eyes. They flew, they danced, they roamed upstairs and down, they played out elaborate roles in their pretend sagas:

Needless to say, math and handwriting and geography waited just fine until the next day.

P.S. I haven't seen the dragon puppets since. No doubt they were tossed down at the children's feet the moment that I called for dinner or bedtime, and, like the Velveteen Rabbit on Christmas Day, utterly forgotten. Children's magic...so wild, so fickle, so fey.

Friday, January 27, 2012

Montessori Math: Building Big Numbers with Base Ten Blocks

As we've casually, slowly, and happily meandered through our first couple of homeschool years, we've gradually evolved into ways that keep us happy, engaged, and productive. We're no longer the unschoolers that we were for over a year, and yet we still do not follow a curriculum, and, believing that play is still the most important work of my so-big seven-year-old and five-year-old, I still strictly limit the amount of formal, structured work that I ask my girls to perform each day.

In other words, no matter what you're doing with your own kids, you can feel free to agree that I'm doing it all wrong.

The girls' schoolwork is almost entirely guided by their interests--Ancient Egypt, werewolves, the desire to be in the next community fashion show, the desire to earn exactly enough money to buy herself a certain ipad app. I see my role as to surround the girls with all the resources at my disposal involving their interests, to guide them through formal study of their interests to deepen their knowledge (and thus appreciation) of these areas, and to set up and moderate as many hands-on, context-deepening, multiple-intelligence activities as is desired. We do this until their knowledge is, for the time being, sated, adding other areas of interest and focusing and re-focusing and coming back to former loves as the little ones wish.

Our number-building study came about when, for some reason, it kept coming about that Willow needed to add multi-digit numbers. She needed to add the tax to the list price of an ipad app to calculate how much money was going to come out of her piggy bank for it, then she had a lot of change to add up to see if she had enough, and when I did the math in front of her, talking her through the carrying the ten and such, it was mysterious and fascinating and something that must be learned!

We watched the Khan Academy video on addition with carrying for background, but obviously when it comes to actually mastering the skill, you've got to back that train on up. Here's the progression:
  1. Before she learns the shortcut, Will needs to understand the concept of carrying tens and hundreds to the next place value.
  2. Before she understands the concept of carrying tens and hundreds to the next place value, she needs to understand how numbers are built from hundreds and tens and units.
We've played with that second concept plenty, so that it was a comfy review for Willow before we moved onto the first concept (where we'll be for a while), but such regular review is very important, because not only does it continue to cement the concept, but it also aids contextualization--Will sees that multi-digit addition with carrying is built upon the concept that numbers have place value, and when we go back to this review again before we start subtraction with regrouping, she'll see it again.

To build numbers in a way that highlights their place value, in a way that internalizes the basic fact of each number, in a multi-sensory, hands-on way, you need two things: Montessori-style number cards, and a BIG set of Base Ten blocks. Base Ten blocks consist of one-centimeter-square unit blocks, ten-bar blocks that are ten centimeters long by one centimeter wide and represent "ten", hundred flats that are ten centimeters long by ten centimeters wide and represent "one hundred", and a thousand cube that's the size of a stack of ten hundred flats and represents "one thousand." We're happy with one regular set of Base Ten blocks, and an extra purchase of eight more thousand cubes, on account of I wanted nine of them total.

To start the number-building unit, Will cut out a few of the following math journal prompts, and glued them, one to a day, in her math journal:
Building Numbers With Base 10 Blocks Math Journal Prompts

She didn't do all of these prompts, but Sydney, when she finishes the patterning math stuff that's currently fascinating her and starts on number building, probably will.

Each day, Will reads the prompt in her math journal and gets out the appropriate supplies. To build the number 487, for instance, she first gets out our Montessori number cards. She chooses a 400 card, an 80 card, and a 7 card, and lays them out in her work area left to right. Next, she gets out her Base Ten blocks--

--and builds the number, with four hundred flats next to the 400 hundred card, 8 ten bars next to the 80, and 7 units next to the 7:


To finish, she stacks the number cards from biggest to smallest, and behold! The number appears:

We also own a set of Base Ten stamps, so that Willow can write the number and record how it's physically built right in her math journal:


On days when we didn't feel like dragging out all the blocks and the stamps and doing some elaborate math, Willow played with this Montessori number-building app to further reinforce her skills:

I like the step-by-step, physical building work involved in this activity because I want the concepts, and the ones that come beyond, to be something that the girls can mentally visualize. I think it helps them to actually, physically see what a thousand looks like, and to see that a big number is made up of so many thousands, and so many hundreds, and so on.

Here are the manipulatives that we're using:

Thursday, January 26, 2012

Teach Your Children Algebraic Notation!

Our family loves a casual game of chess. Matt and I are evenly matched--he's a more creative player, although I have a better structural knowledge of strategy--and Willow plays a great overall game for her age, although she hasn't yet mastered setting up a checkmate.

If you merely love a casual game of chess, then you likely don't need to learn algebraic notation, the method of recording the sequential chess moves of your entire game. If you find intellectual pleasure in chess, however, then you must learn algebraic notation, because I guarantee that you'll love what the knowledge of algebraic notation can open you up to. And if you have children who enjoy chess, then you must teach them algebraic notation, as well; not only is it a great precocious math skill, but otherwise they, too, are closed off from studying and mastering the game. The study of chess is full of just the sort of things that delight little children--tricky pawn tricks, secret strategies, patterns that carry you straight to checkmate if you only recognize them as they're unfolding, etc.

Here's a little of what you can do:

algebraic notation in action

Will's a reluctant writer, so don't tell her that this is writing practice! Finding a specific point on a grid is a crucial math skill, and translating the board's play to paper builds her three-dimensional visualization skills, which will be powerfully useful throughout her life, everywhere from performing high-level physics to nagivating her way on the highway one day.

I date-stamp her game notations just as I date-stamp all our schoolwork, and I have her write them in one spiral-bound steno notebook. When she's a more mature player, she'll be able to play these games back and alter the outcomes using better decision-making. Also--what a cute memento of a childhood!

replaying a game using notation

Of course, right now Will usually chooses to replay a game, using her notation, immediately upon its conclusion--this is called a Post-Mortem, and it's actually an important strategy in chess study, as you have the unique opportunity to study the board and recognize better/alternate moves while your reasoning for making the original moves is still fresh in your mind. In chess club or at a competition, your teacher or coach will go through the Post-Mortem with you, and it's also an opportunity for them to see where your skills stand--needless to say, this opportunity is lost if you don't know algebraic notation.

Will simply thinks it's fun to play both sides. Sneakily, the Post-Mortem also requires her to read and translate the algebraic notation back to the board, again strengthening her math, logic, and three-dimensional visualization skills.

re-playing famous games

Here, Willow and Matt are re-playing Bobby Fischer's The Immortal Game, with Matt (and later me, because Matt doesn't have the practice at algebraic notation that Will and I do and got overwhelmed, poor dear) calling out the moves using algebraic notation, and each player moving where the notation says to. This sounds dry, I know, but if you like chess it's actually really fun--the game moves fast, since you're not sitting and thinking up the moves yourself, and it's a GOOD game, because it's one that great players have played, with exciting tricks and tricky traps and fabulously bold machinations. Usually the game that you're reading through will be annotated, as well, to point out both the genius moves and the boneheaded ones, and it's fun to see.

When we do these re-plays, I always position Willow on the winning side, to give her practice at developing a checkmate. It's especially fun because, when a great game is playing out in front of you, even a little child can often see and exclaim over these genius or boneheaded moves--there was much outraged shouting during this particular match over Donald Byrne's dead-end strategy of simply moving his king back and forth in the endgame. It's an excellent model, because you can see how the center is developed and how the pawns get sacrificed and how truly excellent it is to fork your opponent's pieces. Several times, after Fischer did something amazing, we rewound the pieces and played it out again to better see how he set it up.

And yes, that's how we spent last Friday night. Do not judge.

studying chess problems

Will's not normally a kid who loves worksheets, but nevertheless these are fun for her, probably because of their novelty. Worksheets set up chess problems, from simple "What are the possible moves for the knight here?" to the more challenging "Find the mate in two moves" types. Since these worksheets abstract chess from the board-and-pieces manipulatives, they distill into some serious intellectual work--consider the difference between solving 19+24 with Base 10 manipulatives, and solving the same problem on paper! Many studious chess players can go one step further, and work these problems, and even entire chess games, entirely in their heads, the same way that you and I mentally solve 19+24.

Will's also a member of our community's scholastic chess club for children, which is nice because she can play with children her own age and has access to coaching that we otherwise wouldn't be able to afford. She's also a scholastic member of the USCF, which means that she receives a children's chess magazine quarterly and can earn rankings when she competes--a leg up in case she decides to get serious about competitive chess later in life. Sydney's not yet interested in chess, so it's divide and conquer so far: Matt attends chess club meetings with Will, and I accompany her to competition. I'm looking forward, though, to Sydney's inevitable decision to try chess out for herself--just think about how much more fun we'll have when this game is truly an activity that the entire family enjoys together!

Until then, it's something special that Will has with just her parents, which, of course, is also pretty great.

Wednesday, January 25, 2012

What I've Been Busy With




Whew! Now just two more orders to make tomorrow, and then I'm going to do something entirely non-productive.

Friday, January 20, 2012

The Third Biggest Milestone--

--lagging only behind toilet training and sleeping all night in their own bed (and, well, breathing on her own, but you can't count Syd milestones that way, lest you first count down a list of at least forty medical-related milestones, from 1. breathing on her own to 41. finally getting our insurance companies to cover her $200,000 hospital bill), is witnessing the children put on all their own snowgear, from snowpants with the elastic ankles and zipper up the front and overall straps, to snow boots that go under the elastic ankles, to sweaters that need to be buttoned or zipped, to the hat that's pulled on just right to keep hair out their eyes, to the coat that needs buttoning AND zipping, to both mittens, even that tricky second one that you have to put on with your other hand in a mitten!

Of course, it's handy to have a sister to assist you.