Welcome back to school; I miss you while you’re there!

I dislike sending my little guy back to school on the day after Labor Day. In direct contradiction to the nonsense spouted in television commercials, not all parents cheer to have their kids out of the house.

If I were selfish, I would educate both of my children at home, to suit my personality and my interests. I send the younger one to school instead because it suits his.

I miss our long, quiet summer mornings. There’s time for us, then, to sit down together over breakfast. I miss saying yes to late night stargazing and other adventures because there’s no need to worry about a busy schedule.

I miss DS2‘s good company around the house during the day. He’s blessed with great wit and a loving temperament. He’s generous with his hugs.

I am excited to begin the new school session with DS1 here at home. He studies year ’round, but our schedule changes to a different pattern every September, December, January, and June. This choice is energizing, and keeps subjects feeling fresh.

DS1 is a pleasure to keep at home with me. We’re both fairly introverted, so we often work quietly, side by side. Quietly, that is, until one of us gets excited about a project or idea. Continue reading

Poring over pre-algebra textbooks to appease my non-math anxiety

I read six math textbooks yesterday from cover to cover, and I perused at least half a dozen more.

Math books textbook Laundry

Observe that the clean laundry was folded onto one of the stacks of textbooks, because it had to be done, but there was no energy left to move any of these objects elsewhere around the house

Why would I do such a thing? It’s because I’m feeling unprepared for pre-algebra. That’s making me anxious.

Wait, what?!?

I’ve said it before, but I’ve also learned that I must repeat it: I’m a lady who is good at math.

And, I’m going on about that again because I’m undertaking something new.  My current anxiety hinges on my ability to impart my knowledge of, and suitable appreciation for, the application of math… to someone else’s child.

A friend and her daughter are going to learn at home this year, like DS1 and I (and millions of other American kids) do. In addition to offering general advice, and pointing my friend toward excellent textbooks and home school collaboratives, I’ve agreed to help the girl by teaching Pre-Algebra.

As usual, when my friend floated this idea a year ago, I enthusiastically agreed. I offered encouragement, pointed out the pitfalls of which I’m aware, and sent her a steady stream of supporting research for whatever it was we talked about while all of this was theoretical.

It’s pretty fair to call me an enthusiast. In what area of interest? Well, whatever might be my fascination of the moment. I’m a serial enthusiast, and my intellectual appetite often exceeds my physical stamina.

Also, I work a project until I’m thoroughly exhausted; then I walk away* depleted. And I do walk away. It’s common for me to return to areas of interest after these desertions, but I don’t take them all up again.

My interest in a subject rarely subsides, but my activity in that given area rarely draws a shallow curve or a sensible straight line of steady progress. Jagged peaks and desolate valleys do a better job of depicting my levels of effort over time.

You can see it on my blog. I’ve considered composing posts and spacing them out on a sensible schedule of distributed areas of interest, but… I don’t really want to. Because, when I’m obsessed with camping equipment, or studying German, or maximizing minivan efficiency for a road trip, or the vital importance of true mastery of algebraic concepts, that is what I want to talk about, almost exclusively

until the next month, when I move on to the next thing. It’s fair to describe me as somewhat obsessive. I also accept the label of dilettante.

Which brings me back around to what I’ve done. I’ve hitched a young lady’s wagon to my erratic star, and it’s making me nervous.

I’m not a math teacher. I’m only marginally reliable. What have I done?

And yet…

…my young friend, whom I’ll call The Scholar, is exhibiting patterns I expected from the story I heard about her school experience. I gave her a series of pre- and post-tests from my various textbooks, and here’s what I uncovered:

  • She sees a novel problem, and she’s inclined to shut down. She sees each one as an opportunity to be judged a failure, not a chance to learn a new way to answer her own questions in the future.
  • She was given rules to memorize for calculating answers, but no explanation for why such rules work (or has no recollection of the explanations.) Math is a set of magical black boxes she’s supposed to carry around forever, weighing her down instead of providing tools she can use to accomplish much more with less effort.
  • She asks me if her answer is “bad.” She means, “incorrect,” but her feelings are out of alignment with the scale of the mistake.

When The Scholar asked if her math was “bad,” I pointed out that she wasn’t spitting on babies and kicking puppies. Making a mistake means she didn’t know what to do, or she didn’t do it right all the way to the logical conclusion. Incorrect? Yes. In pre-algebra, we are actively seeking convergent answers! But this is not a moral failing.

Life is full of emotionally fraught situations that put us through a wringer. Math isn’t one of them. Either we know how to proceed, or we learn—or look up—what to do. This should actually be a carefree process in the realm of feelings. This is purely intellectual.

The bad feelings here are a result of prior training. I think this is what happens when math is taught by someone with a phobia who doesn’t love, or at least appreciate, the subject.

So I’m not a math teacher, but I’m going to take a swing at this. Based upon the evidence I’ve gathered from my sheaf of pre-tests, my influence is likely improve the situation. It’s possible that it already has.

You see, one instruction I’d given The Scholar was to please indicate near each test section any strong reactions provoked by the content. A lot of those she recorded were negative. But a few problems were annotated, “fun!” That’s heartening to see, and it surprised her mom.

It’s been a long time since The Scholar enjoyed any element of her math education. We’re definitely going to include some of these “fun” puzzles in her upcoming assignments. All computational skills practice will benefit her. Puzzles and well-designed apps can offer her skills practice with less pain.

I could go on at even greater length about the positive qualities of the math curricula I’ve been perusing. As you can see from my photos, we own more than one set of elementary texts. I couldn’t even lay hands upon DS1‘s pre-algebra book (publisher Art of Problem Solving‘s Prealgebra) for my photo shoot. He and his grandfather were still busy with it and couldn’t be bothered to give it up on my (frivolous) account.

Math books textbook Life of Fred

Life of Fred

For a child who’s learned to hate math, I can’t recommend strongly enough a perusal of Life of Fred (Stanley Schmidt’s utterly unconventional collection) and/or the comic-book formatted Beast Academy series (another contribution from Art of Problem Solving.)

Math books textbook BA

Beast Academy

It doesn’t matter if the stated age range is “beneath you.” These books are fun to read, and I’d guess even most educated adults would learn something new about a subject they consider mastered by spending time with them. I did.

Upon reflection, I’m really grateful that my latest project will give me another turn through the workaday skills of pre-algebraic math, and in the company of a bright and unconventional kid like The Scholar.

I think we’re going to have a lot of fun.

 

*Perhaps sometimes better described as: I fall down and lie at rest and let the subject move away on its own.

Summer vacation isn’t the enemy of modern parents, but it reveals social boundaries

Last week, I saw an ad predicated upon the idea that summer vacation is a nightmare for parents. It wasn’t even Memorial Day yet, and, already, they’d infected the airwaves.

Do parents really bemoan summer break?

I despise commercials that attempt to advertise products based upon the perverse notion that I loathe spending time with my children.

The Back to School ads are even worse than the End of the School Year set. Parents dance in the streets because they are unable to contain their joy at giving up the burden of spending entire days in the company of their own kids.

Are these the same kids Americans were so desperate to have that more than 10% of US women of childbearing age have used infertility services? Bah, humbug!

My kids are cool, and I enjoy their company. Summer means no alarm clocks and more opportunities to say yes to their (admittedly, sometimes goofy) requests. Summertime equates to free time.

Or are parents with limited resources desperate for better solutions?

I’m crying foul. I think this is primarily a lame advertising trope.

But, of course, there is added stress for families where all available caregivers work outside the home. Finding appropriate summer camps or childcare is a pain. That’s true 365 days a year in America for kids too young for public school.

This isn’t a summer problem, or a parenting problem. It’s a political problem, and an economic one. This is not proof that parents want their kids to stay locked up indoors year ’round.

Instead, we see a sign of a childcare problem in a society expecting high rates of worker participation from able bodied adults. (Those would be the same adults who most frequently produce offspring!)

Really, how many of us resent watching the kids pour out of the schools and into the home, onto the beaches, and into the parks?

Most parents work their butts off attempting to earn the best for their kids, and that includes fresh air, exercise, and time and space to dream the biggest dreams. That’s where summer vacation can really shine, but only for those with the time and resources to let it happen.

My family’s summers include travel, museums, hours poring over books of our own choosing, and lots of time with extended family. I don’t even have to question whether or not this is a good use of my kids’ time. Of course it is!

I can barely express how grateful I am for this privilege.

We supplement our lazy summer days with hours of Khan Academy and specialty family camps, not because we feel compelled to keep up, but because learning new things is awesome and we want to share the joy with our kids.

I don’t believe for one minute that there are legions of caring parents in America who want more testing, more trivial comparisons, and more common core for their beloved children.

Parents want their kids to have access to opportunities. Parents want their kids to learn useful stuff. Parents want their kids to grow up well and be successful and happy.

I can’t even say how much I wish summer vacation was an equal opportunity benefit for all children.

Who really hates summer break?

Parents today—like most people today—struggle under a burden of technology and schedules seemingly designed to detract from a fulfilling life.

Theoretically, we live in an era of reduced physical effort and greater access to information, leading inexorably to an easier life. In practice, maybe not so much.

These commercials are lazy work on the part of advertisers, but they do reveal a modern day American tragedy.

Some of us have to get a little desperate when school lets out for summer.

Some of us get to enjoy our kids’ company in the same situation.

Spit it out! Memorizing phrases & the parroting process for improving foreign language fluency

Rote memorization won’t make you a fluent speaker of a new language, but it can be a powerful tool for increasing your foreign language fluency.Pimsleur

You often resort to routine phrases in your native language

Imagine this common scenario.

You’re hurrying into a familiar place, surrounded by people you know. Someone asks casually, “Hi! How are you today?

Most likely, you answer without a thought:

Fine, thanks.”

You answered with a learned response. You weren’t engaging the higher functions of your complex brain and its multiple intelligences. You went by instinct. That’s rote.

This kind of verbalization isn’t going to make you a master public speaker. It isn’t the rich, nuanced stuff of great oratory or literature. But words and phrases like these make up a huge proportion of the words spoken every day.

If you cultivate your knowledge of simple, canned responses to common questions and scenarios in a target language, you can really accelerate your comfort with speaking and your eventual progress toward fluency.

Fluency only comes if you actively use the language

I’ve always been a good student. The strength of my short term memory and my classroom skills made it fairly easy for me to get good grades in high school and university classes in Spanish and German. In spite of this, even after years of study, I was nowhere near fluent in Spanish, though I could read written materials fairly well.

By contrast, in only one semester of purely spoken Japanese taught by an immersion method, I learned a handful of phrases that stick with me in their entirety (and at full speed) to this day.

After that course, I never studied a language the same way again.

Do you intend to read, write, or converse in your target language?

Before Japanese, I improved primarily in the area of language my classes tested: reading and writing.

Sure, the students in my classes engaged in dialogues, but these were a small fraction of the time spent, and conversational skills were almost never on the test. With 15 pairs of high schools students talking to each other simultaneously, ostensibly in Spanish, there was no way for the lone teacher to notice—let alone correct—errors, omissions, or even a total failure to complete the assigned dialogue.

If your interest in acquiring a new language is to read, say, Descartes in his native French, or Don Quixote in the original Spanish, the American classroom experience may serve you well. For everyone else, read on! Continue reading