Monday, February 7, 2011

Math Monday - Multiplication Review

Over the weekend I put together a little unit study for Becky on multiplication.  We've covered this before, of course, in little stops and starts but it's February now which means the end of the year testing to 'show progress' is looming in front of us.  And she hasn't done much multiplying in math for a while.  So I'm trying to come up with something engaging that will refresh her memory and deepen her understanding.

I thought I'd start off with some fun worksheets that use arrays to get the idea of multiplication across.

Then I thought we'd do some multiplication tables. ( I just think the internet is so amazing, how I can just do a simple search and come up with such a variety of fantastic resources for teaching something.  Life is good!)
Fun-flap Facts: Multiplication
Finally, I found this fun little hands on way to practice one's times tables.

Sunday, February 6, 2011

Murder in the Cathedral by T.S.Eliot - Book 5

Murder in the Cathedral

Once again, I'm not sure if this really qualifies for my 52 Books in 52 Weeks Challenge.  I think I have a vague memory of reading this back in college.  And it is shorter than 100 pages.  However, I'm including it anyway, because 1)  I read it 2) It's a classic!

Murder in the Cathedral is a play that T.S.Eliot wrote for a religious occasion.  It is written in a way that very conscientiously copies an Ancient Greek Tragedy.  Most of the play is written as a poem in Eliot's unparalleled style;  moving, uncannily accurate, yet at the same time, mysterious in its power.  What a poet!  I love Eliot because although he is modern, he hearkens back to when poetry was truly accessible to the unsophisticated reader.  You can read him at so many levels and yet he packs a wallop.

The play begins when St. Thomas a Becket is returning to England after seven years in exile in France.  The women of Canterbury act as the chorus would in a Greek play, setting the scene and the mood, which is full of foreboding.  This continues through the play.  There is danger in air.  Thomas is long-awaited and beloved of the people of Canterbury but they fear for his life.  Thomas had realized that he can no longer hide in France but must come back to shepherd his flock.  The King, Henry II, was his great friend back when he was secular and served as the king's Chancellor.  However, after Henry made him Archbishop (in hopes of controlling the church's power in England) Thomas experiences a conversion and becomes a devoted Christian, much to the ire of the king.

There's no real action to speak of here, except at the very moment when Thomas is murdered.  Before this we have the women of Canterbury talking, the priests of Canterbury's response to news of his return, greeting him and then trying to protect him when they realize there's an attempt being made on his life.  There are four tempters, abstract beings, who come in and are devices through which it is revealed to us Thomas' thoughts as he reacts to each of their temptations. We know Thomas struggles with a love of worldly success and pride.  The great temptation for Thomas is becoming a martyr for his own vainglory instead of for Christ.  One dominant theme throughout the play is that Thomas doesn't choose martyrdom but rather bravely meets his inevitable fate in accepting his martyrdom.

Eliot is brilliant in that the language leading up to the murder is written in highly evocative poetry.  Once the murder happens, which is the only real action of the play and in full, brutal view of the audience, the language switches to prose.  The four knights, who've just stabbed Thomas to death, turn and talk to the audience in tones that are very ordinary, reasonable and overly polite.  They talk rather like tired political men in a parliamentary debate discussing some minor issue.  It is actually funny!  And yet it conveys how worldly, blind, banal and self-serving our earthly realm is.  One sees immediately how Thomas was truly otherworldly and Christlike.

The end of the play is very emotional.  Instead of being bleak, as everything was leading up to the terrible sin of murder, a sense of light breaks through.  Everyone is deeply inspired by Thomas' great example.  The universal need for God's mercy becomes a palpable one.  In the end one feels spiritual strength because Thomas was strong.

There is so much to this play.  The metaphors, the deeper spiritual meanings, the religious references abound! I was glad to revisit it. Really I had so little memory of the first time I read it, it was like I had never read it before!  I highly recommend it.  I would love to see it performed somewhere.

Saturday, February 5, 2011

Just a Few Odds and Ends

I started a page for resources that look good for next year.

I am growing to appreciate this resource more and more.

I just ordered some stuff from this website, including a study guide for Chesterton's St. Francis of Assisi, a book Josh and I will start reading this week.  And it just so happens Hannah is in Assisi right now!  Kismet!

Here's a youtube video of Assisi:

http://www.youtube.com/watch?v=D7zSbO7I0ks

Friday, February 4, 2011

Unschooling Moments of the Week - 2/4/11

I think I'll do this report by student:

Butterfly Knife
Josh, 15 year old - my most un-unschooled child at this point.  Things he prefers to do on his own - read web comics and play videogames.  This week he also started reading the second book in the Discworld series on his Kindle (Rick gave him one for Christmas).  He also loves to play with his butterfly knife.  He got a stunt one, also for Christmas.  The stunt one isn't actually sharp, so he can practice all his cool knife tricks without cutting off his hand or anything.  For his schoolish stuff - the stuff he says he wants to do because one day he does think he wants to go to college (but frankly, doesn't seem all that motivated in the moment):

  • Took a home Biology test for his Bio class, and handed it in on Tuesday.  He also read and did vocabulary cards for Biology.  Attended Biology SAT study group.
  • He did Geometry at Kahn Academy. (which is fast becoming one of our favorite places on the web).  I'm not sure how far he's gotten though.  Probably should ask him that!
  • He did some more on line Driver's Education.
  • He read but didn't quite finish chapter 6 of The History of the Church.  
  • He read Murder in the Cathedral by T.S. Eliot
  • We did a practice National Latin Exam and attended Latin class.
  • He attended his CLC group Wednesday night.  Something he really looks forward to each week.
  • Hopefully he'll attend gym class today.
Product Details
 A really good book!

Sean, 12 year old.  Had a really good week.  He loved working with his older brother Will.  They got really into the whole fairy tale thing.  Sean, who has complained about reading for any sustained period of time except if it was comic books spent an hour reading Gwinna and Grimm's Fairy Tales each day.  He also enjoyed doing math with Kahn Academy.  They have dumped Saxon in favor of this (at least for this week), they started at the beginning with Arithmetic to make sure Sean gets all the concepts thoroughly.  Sean's also worked on Latin (completed Chapter 28 of Latin for Children A) and did some cursive as well as some dictation from WWE3.  For fun he went sledding with Becky and played Bananagrams with me.  But mostly for fun he obsessed on the new DS3 that is coming out in March and also he played a lot of videogames.  He drew his self-imposed number of comics and posted them on his Deviantart account.  He also really enjoyed the brain teasers at Kahn academy this week.

Becky, 9 years old.  Becky was really resistant to anything formal this week.  She didn't go to art because she said she had a scratchy throat but that turned out to be nothing.  It seems like she just got a bad start to the week and never quite got traction after that.  She did like doing her cursive penmanship.  She's gotten very good at it.  We did a wee bit of Latin but she just wasn't into it.  She seemed especially interested in spelling this week, insisting that I put up new spelling rules on our cabinet wall of learning.

She had fun playing with fraction manipulatives for a bit.  I had gotten the manipulatives out but had to go do something in another room for a while.  When I came back Sean was explaining all about fractions to her, so I didn't have to do that for her!  She already knew some stuff anyway.  She watched a lot of PBS kids this week, more than usual.  She did a lot of sledding at the beginning of the week.  She liked curling up with me and playing Scrabble with me on the ipad.  She loves all the read alouds we are doing currently and begs for more.  

At one point she tried to devise her own maze.  She wanted to make it really difficult but found that it was difficult to make a difficult maze!



Will, 18 year old, had a great week.  He got up and went to daily mass a couple of times.  He set up his next CLEP test on Western Civ. I for 2/22.  He did lots of music practice and lots of reading on music and made it to both music lessons this week.  He's studying the book of Samuel on his own.  He even made it to the gym once or twice. Plus he's been doing a great job teaching Sean math and literature.

Hannah, 20 year old, continues to be in Rome, Italy where she is not putting enough entries on her blog to satisfy her family!  I hear she's reading things like the Phaedo and Oedipus Rex and the like and doing neat things like scavenger hunts around Rome and attending wine tasting parties.  Ah, the life!

Books this week:  Read Bible History - we are up to Daniel in the Lion's Den.  For The Story of the Romans we've read about Cincinnatus and Camillus.  In Mathematicians are People, Too, we read about Sir Isaac Newton.  Rick is still reading The Begger Queen by Lloyd Alexander.  I'm still reading David Copperfield out loud to everyone (it's gonna take forever!).  We're up to the part when David meets up with Steerforth again in London and goes home to meet his mother.  We've just been introduced to Miss Dartle.  The family is trying to decide if they like Steerforth or not.  They mostly do, whereas I just want to shout at David, "No, no!  Don't introduce him to Em'ly!"  I'm still reading Hitty to Becky.  She's made it back to New England again, only to be lost in a hayloft.  And Will is reading Wayside School to both Becky and Sean and doing it in a very dramatic and funny way.  He seems to do this late at night when I am already in bed.  I hear lots of shouts of laughter coming from Becky's bedroom.  This gets Becky and Sean very wired at night, so they don't go to sleep until very late.  Sigh.  But I don't have the heart to stop it, because William will be gone away to school next year and our hearts will be broken.  Sob.

Butterfly knife image http://www.darrelralph.com/ddr_knives_balisongs_balisong1.htm

Thursday, February 3, 2011

Unschooling and the Three Stages of the Classical Trivium

If you talk to folks who have been reading Dorothy Sayers' essay, The Lost Tools of Learning, or if you are familiar with The Well Trained Mind or other classical homeschooling programs, you have probably heard about how the student's development is broken down into three stages or the Trivium:  grammar, logic and rhetoric.

 Grammar is the time when a child loves repetition and to memorize things.  Classical ed uses this propensity or 'poll-parrot' stage to fill the child's mind with all sorts of information.  They see this as going from parts to whole, which is a hallmark of classical pedagogy. The child might just be memorizing things they may not grasp now, but later when they are able, they'll fill in the connections.

The logic stage is the problem-solving phase, where a child enjoys puzzling things out, asking why and making connections.

Finally there is the rhetorical stage where the student learns to process all this knowledge and then express it in a precise, eloquent and persuasive way.

Observing my own kids, I have witnessed these three stages and I think they are quite accurate in describing a child's development.  However, I've come to disagree with how classical educators use these natural propensities to further their quest for a classical education for children.  To my mind, classical educators meaning well, and in their determination to be 'rigorous,' grab that natural tendency of the child to repetition or to reason or to express and then they wring any individuality out of it.  They overload that natural tendency by trying to push too much memorization or logic or rhetoric on the student.  Really, it is as if they didn't really trust that the tendency in the first place, the thing they are basing their approach on.  They seem to come at it with gangbusters and practically demolish any shred of it!  In other words, the teacher/parent steps in and takes over, trampling over the natural tendency.  Instead of sensitively cultivating the tendency, they bludgeon it to death!

I've also seen parents say:  Okay, my child will be in 5th grade next year, time to move onto the logic stage.  As if every child automatically develops into the next stage in lock step order.  These stages are supposed to be based on the child's development, not on some book pulled off the shelf!

My thoughts are these:  if it is natural, why push?  When my kids were little they loved to hear me read poetry and then try to memorize it themselves.  Or they'd play a song over and over again so they could memorize the words.  My middle son enjoyed learning the times tables.  He was quite proud of himself for getting them down so quickly.  I hear many parents complain about how their kids just don't have their math facts down at the ripe old age of 8 or something.  Hmmm, what happened to that poll parrot stage?  How come this memorization isn't coming so naturally?  Perhaps it is because it is being pushed on the child or perhaps the parent is more attuned to what Sayers says but isn't picking up clues from their own child.

I think some kids stay in that poll parrot stage later than others.  I think that stage can overlap quite considerably with the logic stage.  Also, I think some kids like to memorize different types of things.  While all humans are hardwired to learn language by mimicking (which is what the whole poll-parrot idea comes from), I don't think memorizing abstract paradigms of Latin declensions or times tables has anything to do with how a child learn's speech.  The former is imposed on the child, the latter is done by the child freely and within the context of something meaningful like wanting to communicate to his mother, memorizing a picture book that delights him or learning a song he likes.  Context is important here.  But classical educators usually don't care about the context, feeling it can come later.  I don't think that works with every child, frankly.  I think one reason why the program Latin for Children works so well for us, is that it puts Latin paradigms in another sort of context.  For instance chanting the conjugation of amo, amas, amat to the tune of The Mexican Hat Dance.  Or remembering vocabulary words because of the  charade-like gestures that accompany the words.

I have been watching my now 12 year son move into the logic stage.  It started with a sudden fascination with Sudukos and now he has gotten into brain teasers at Khan Academy.  He's fascinated by solving these logic problems.  I didn't do a thing but strew these things around.  I left Suduko books around the house.  I showed him the Kahn Academy as a possible resource he might enjoy.  I didn't even strew them consciously.  These things are just around the house or mentioned in conversation and then looked at together.  He hadn't picked up on any of this stuff before to any degree but suddenly now he's much more involved in logic type stuff.  I can see the way he's moving into that logic stage with very little help from me!  And when kids move into stages they'll cultivate it on their own.  They really don't need mama to move in and orchestrate everything for them.

I am put in mind of the Montessori approach.  I think if you have materials available to the child, as they develop they will naturally gravitate to those things that suit their development.  For example, teenagers like to argue points of view. You simply have to give them the means for understanding how to make a good argument and off they'll go.  That's the rhetorical stage!  Expressing oneself and trying to be persuasive.  But my 15 year old isn't really there yet.  He just hasn't moved from logic to rhetoric at the same pace as another kid might.  That's fine, he'll get there in his own time.

I do believe in the parental role of facilitating when it comes to home learning.  But more and more often I am coming to the conclusion that we parents step in and micromanage things way more than we need to.  The child will come to it eventually on their own and in their own more meaningful way.  I see my job as creating the right atmosphere and providing the opportunities but then, more often than not, it is best if I step back and let the child take command of their own education.

It'll happen naturally.

Wednesday, February 2, 2011

Tuesday, February 1, 2011

Will's New Job

Well, I've been after my 18 year old to get a job.  Some kind of job, any kind of job!  He's made a half-hearted effort and I was just about to go into nag mode, when my aunt started taking up a lot of my time and I started to use Will as a default sitter.  I realize that this situation would be so much harder if Will were gone.  Josh is 15 but he doesn't have the temperament nor the control that Becky needs to be kept in line.  Becky at age 9 is still a real handful!  So it is a truly a blessing that Will is still hanging around at home so I can rely on him to hold things together while I'm gone so much.  Yesterday while thinking about this I got an idea.  The two areas that I'm most concerned about for Sean in his academic career are math and reading.  He's fine at math but he's approaching Algebra in a year and a half and this is the time I like to start focusing on consolidating knowledge and making sure he's got all that pre-Algebra stuff under his belt.  Also, I'd like to see his reading stamina develop.  He does read a lot but not not new novels or non-fiction at grade level.  He reads lots of comics and books like Worst Case Scenario or Dave Barry humorous articles or he'll reread books he's enjoyed like Holes or Wayside School.  But it is really hard for him to engage in higher level, longer books.  So I put 2 and 2 together and hired Will to tutor Sean in math and reading.  Both boys are excited about it.  Will has decided that along with composing music he'll probably wind up being a music teacher.   So he's excited to explore teaching.  And Sean thinks it is cool that his older brother is going to be his official tutor.  Will immediately started coming up with ideas for getting Sean enthusiastic about reading.  He's come up with a brilliant plan.  Sean is very analytical about everything.  So they are going to have a reading club where they discuss readings.  Will is going to teach him literary analysis (which Will really enjoys):

February - Grimm's and Andersen's Fairy Tales.

March - short stories - Rudyard Kipling, Ray Bradbury, Washington Irving, Isaac Bashevis Singer

April - Short novels (which wound up having a dog theme, more or less) Sounder, Old Yeller, Animal Farm

May - Stories in Verse - a great old book I have about narrative poetry

June - Maybe The Hobbit?

That's the tentative plan, anyhow.  We'll see how things go.

Hopefully all this will lead to a greater enthusiasm for reading and as Sean moves into 7th grade we can start to tackle some more challenging, longer classics.

As for math - Will gets math and can explain it so much better than I.  He makes it funny and interesting.  So I think that will really go well.

So for now, I think this might be a good solution.  Though, of course, there would be many benefits to Will getting a job outside the family.  But for now, this'll have to do.