### Calvin of Calvin & Hobbes outed as an Unschooler!

As No. 1, our five year old, and I headed into town for a writing class yesterday, I presented her with her textbook for the class: Teacherless Writing by Peter Elbow.  She grinned from ear to ear, “I learned to write without a teacher!”  No. 1 recently found out that she’s ‘unschooled’.

She continued to check out her new book, as we lurched along the BART line into town.  I thought she was just excited to receive a new book, she soon let me in on the real cause of her thrill though.

“So, there’s a book I read called Calvin and Hobbes”

“I know that book.” I said.

“Right, well in the book, there’s a boy named Calvin, and he goes to school.  When he does, he usually has a piece of paper.  I have one of those.  He also has a pencil.  I have one of those.  He also sometimes has a book.  And now, I have a book!  And I'm going to a class!  I'm just like Calvin!!!”

To No. 1, Calvin & Hobbes is a ringing endorsement of classwork!  Could it be?  Could the little boy who arguably hates school the most serve as the poster-child for positive public school experiences?  I thought about it a bit, and it all made sense.  The view we're given into Calvin's schoolwork looks exactly like unschooling.  The class has been assigned to write a paper on George Washington, meanwhile, Calvin is stalwartly doing his own thing, drawing stories about dinosaurs or Spaceman Spiff.  Calvin is an unschooler!  He just doesn't know it.  Alas—and she seems perpetually perplexed by this—neither does his teacher.

### Cool Math Tricks: Deriving the Divergence, (Del or Nabla) into New (Cylindrical) Coordinate Systems

The following is a pretty lengthy procedure, but converting the divergence, (nabla, del) operator between coordinate systems comes up pretty often. While there are tables for converting between common coordinate systems, there seem to be fewer explanations of the procedure for deriving the conversion, so here goes!

What do we actually want?

To convert the Cartesian nabla

to the nabla for another coordinate system, say… cylindrical coordinates.

What we’ll need:

1. The Cartesian Nabla:

2. A set of equations relating the Cartesian coordinates to cylindrical coordinates:

3. A set of equations relating the Cartesian basis vectors to the basis vectors of the new coordinate system:

How to do it:

Use the chain rule for differentiation to convert the derivatives with respect to the Cartesian variables to derivatives with respect to the cylindrical variables.

The chain rule can be used to convert a differential operator in terms of one variable into a series of differential operators in terms of othe…

### The Valentine's Day Magnetic Monopole

There's an assymetry to the form of the two Maxwell's equations shown in picture 1.  While the divergence of the electric field is proportional to the electric charge density at a given point, the divergence of the magnetic field is equal to zero.  This is typically explained in the following way.  While we know that electrons, the fundamental electric charge carriers exist, evidence seems to indicate that magnetic monopoles, the particles that would carry magnetic 'charge', either don't exist, or, the energies required to create them are so high that they are exceedingly rare.  That doesn't stop us from looking for them though!

Keeping with the theme of Fairbank[1] and his academic progeny over the semester break, today's post is about the discovery of a magnetic monopole candidate event by one of the Fairbank's graduate students, Blas Cabrera[2].  Cabrera was utilizing a loop type of magnetic monopole detector.  Its operation is in concept very simpl…

### Kids R Kapable

Just a little note to concerned ‘grownups’ everywhere.  If you look at a kid—and I mean really look—I don’t mean notice a person shorter than you, I mean make eye contact, notice their facial expression and observe their body language—If you look at a kid, don’t assume they need your help unless they’re obviously distressed, or ask for it.  You might think this is difficult call to make.  You might think, not having kids of your own, that you’re unable to make this determination.  You are.  You do in fact, already have the skills even if you’ve never been around kids  It’s a remarkably simple call to make, just use the exact same criteria you would for determining if an adult was in distress.  Because, guess what, kids and adults are in fact the same species of animal and communicate in the same way.  Honest.  If someone—adult or child—doesn’t need your help, feel free to say hello, give a wave, give a smile, but don’t—do not—try to force help on anyone that doesn’t want or need it.

Y…