Rained Out

Today my Dad celebrates his 64th birthday.  Happy birthday Dad!  Yesterday we went down to visit with him, have a little cake, a little lunch, and offer him a few gifts to commemorate the day.

After that we all piled into the cars to drive over to Wompatuck State Forest in Hingham to try and pick up a cache or three.  Unfortunately it started dumping down rain on the way.   We got within 200 feet of the first cache, but Mom and Dad didn't want to get wet, and neither did Pat and I, so we sat there in the car for 10 minutes or so waiting for the rain to end.

It didn't.

Eventually we bailed and went back to my folks house.  On the way back, the rain stopped.  URRRGH!


Morning Math

Here's a little letter I sent off to the seqfan mailing list about some computations I was toying around with this morning…

Here's a little sequence I put together this morning, but I doubt it is interesting enough for inclusion in the OEIS, and even if it were I don't know how I would describe it in one sentence.  Here's how I compute the terms:

To compute a(n), take the first n primes and find the first value M (>0) which is not divisible by any of these primes, but which *is* divisible by the remainders for each of these primes summed together, or zero if there is no such M.  In other words:

a(1) = first value M which is not divisible by 2, but is divisible by (M mod 2).  a(1) = 1.

a(2) = 0.

a(3) = first value M which is not divisible by 2, 3, or 5, but is divisible by (M mod 2) + (M mod 3) + (M mod 5).  a(3) = 119.

a(4) = first value M which is not divisible by 2, 3, 5, or 7, but is divisible by  (M mod 2) + (M mod 3) + (M mod 5) + (M mod 7).  a(4) = 649.

The first 21 terms:

1, 0, 119, 649, 13, 493, 989, 667, 4399, 67, 3763, 4819, 4717, 9943, 179, 20437, 15677, 193, 26797, 27977, 21251, 37267, …

The sequence generally trends upward, but occasionally dips very low when the sum of the remainders happens to exactly equal a prime (as in 13, 67, 179, 193, …).

Is such a sequence worth including?  If so, what would be the best way to describe it?

I got onto this problem by thinking about a different problem I heard on the radio yesterday called “The McNugget Problem”: when you go to McDonalds and order chicken nuggets, you can get them in 3 sizes–6 piece, 9 piece, and 20 piece.  With these sizes, is there any order of McNuggets you can't fill?  Well sure, 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, there are plenty.  Or are there?  It turns out that 43 nuggets is the largest order that you can't fill.  All positive integers > 43 can be expressed as some sum of sixes, nines, and twenties.

Interesting, hmm?  So now go to McDonalds and ask for 2731 nuggets.  It can be done (in this case 128 twenties, 7 nines, and 18 sixes will work, as will a number of other combos).


EDIT: Man my nugget math was wayyyy off this morning!


Makin' Buttons

A month or so ago I purchased a Badge-A-Minit button maker.  I wrote then that I would talk more about making buttons.  So I guess you can consider this an informal review of the Badge-A-Minit starter kit, advice on button artwork, and a heads up about some new caches I am working on…

The Process

The kit comes with a series of plastic rings and disks and a hand press.  Making the buttons can actually be a very tricky business.

The button face plate, the artwork, and the plastic cover sheet go into the blue ring face up.  Then the yellow ring is placed into the blue ring and rotated until the tabs lock in place.  When turning the yellow ring, I've found the artwork sometimes will turn a little unless you put a finger or two on it to hold it in place.

Then you flip over the assembly and put it face down on a flat surface.  The gray ring is then dropped into the blue ring, and the green disc is placed on top of the grey ring.  Then you stand up (yes it actually works better if you are standing) and press down on the green ring with a sharp but even pressure until you hear a snap.  This pushes the button face into the artwork and plastic so that the artwork folds around the sides of it.  If the green ring isn't pushed down exactly straight and even, the artwork or the plastic coversheet will slip and the button will be ruined.

Then you flip the assembly over and remove the green disc and grey ring, place the assembly back on the flat surface and place the red disc on top.  Then stand and press down on the red disc evenly.  This pushes the button back down into its seat and causes the edges of the artwork and coversheet to fold around to the back side of the button.  If you don't apply pressure evenly the artwork and coversheet can crimp nastily, and not seal up properly when the back of the button goes on.

Then in the last step, you flip the assembly over and drop in a button backplate (usually a pin, but it could be a magnet or have a velcro tab) and then place the green disc over it.  Now the assembly is ready to be flipped over and jockeyed into the press which is usually awkward.  The pressure point on the press should be lined up with an indentation in the center of the red ring.  Then PRESS!!!

If everything was done correctly, when you pull the assembly out of the press and remove the red ring, you'll find a well-formed button underneath.

Unfortunately it is very easy to mess up and produce a ruined button.  Unfortunately once a damaged button is made, there is no way to fix it, and you are out the button pieces for that button.

With enough practice you can minimize the failure rate.  I made about 50 buttons yesterday and had three that came out messed up.  I haven't timed myself, but I doubt highly that I make a badge in a minute.

I like the kit, but it is awkward to use at times, and it feels prone to fall apart when you are trying to get the assembly into the press.  Plus, the problems caused by uneven application of pressure could be easily solved by putting attachments on the press that would allow it to be used instead of trying to do it manually.

But it does make very nice two-and-a-quarter-inch buttons.

Button Artwork

The first thing you'll need is a template.  Although the button face is 2.25″ wide, the paper circle upon which the artwork is drawn needs to be 2.75″ wide.  The template I use is shown at right.  The circle is 2.75″ wide, and the hash marks do not extend far enough into the circle to appear on the button face.  If you have Canvas 7, here's the button template as a canvas document.

When you draw your artwork be sure to center it in this circle.  One thing I found with artwork is that it never lines up exactly as you expect.  Thus it's probably a bad idea to create artwork with a circular outer border.  When you actually get your end-result button, the circle won't appear perfectly centered.  Thus when I draw artwork on the template, I extend the artwork all the way to the edges of the 2.75″ circle, and only keep the important portion inside of a 2.25″ circular region at the center.  Like this:

When actually stamped into a button, the text shown here will come very close to the edges.  Having the extra half-inch of artwork means that if the artwork is a millimeter off in any direction, you won't see a white edge of the picture.

Once you have your artwork printed, you'll need to cut them out.  If you happen to have a 2.75″ circular die cutter, awesome, otherwise cutting them can be a pain in the butt.  To speed that process I purchased something called a “circle scissor“.

It's a plastic ring that you put over your drawing, under which you put a plastic mat.  The ring contains a disk which is transparent and which has a crosshair on it, so you can center it over your artwork.  The disk has hundreds of holes in it, each one a different number of mm from the center, and sits on top of a bunch of tiny ball bearings, so it will rotate inside the ring.  You stick a pen that has a cutting blade on the end through the hole corresponding to the diameter you want (in this case, 70mm) and drag the blade around in a circle.  The head of the pen swivels as the disk rotates and it cuts a very nice clean circle… sometimes.

It matters how you hold the pen, I've noticed if you aren't very careful, it won't cut all the way around. But it is still easier than using scissors.  There may be other ways to cut circles, but this works pretty good.  The scissor I am using is manufactured by EK Success.

Finished Product

The finished product is pretty cool.  All in all it is a time consuming process.  Drawing the artwork is the fun part.  Cutting the artwork and assembling the buttons is decidedly not fun.  But they look so neat when done, it's worth it.

In three days, the dragon caches in Coggshall Park had enough vistors to completely deplete the finders buttons.  Many people commented on how neat they were on the cache logs.

So yesterday I made up a bunch of finders buttons and then hiked out to the cache sites to replenish them.  I'm also working on two new caches to be placed in a nearby wildlife sanctuary.  I already have permission, and have selected locations.  I am just waiting for the ammo boxes to arrive and then I will be able to place Tiarrel's Aerie and Morrich's Barrow.  The buttons shown above will be the finders buttons for these new caches.

Hopefully people will enjoy them as much as they did the others.


EDIT: typos.


Chuck's New Purse

As I was remarking this morning… I need a purse.  There's just too much junk I have to carry around with me to be properly equipped, and with the advent of hotter weather wearing a heavy coat for the pocket space is just impractical.  James read of my plight and made a great suggestion

…You could carry a little camera bag around. That would be just the right size…

Introducing Chuck's new purse…

It's a Quantaray Mini DV Bag I picked up at Ritz Camera in the Mall at Whitney Field (a.k.a. Searstown Mall).  It's perfect!  There was a leather version there too, but I decided it looked too much like a purse.  Men are so insecure.   Seriously though, I am carrying a camera around in it, and it's a camera bag, so everything's legit.  Definitely not a purse.

It's made of nylon and is about 8 inches long, by 6 inches high by 4 inches deep.  It zips shut, has a convenient shoulder strap, and contains many compartments and pockets where I can put stuff.  In the above picture I just dumped everything into the main compartment to show how it all fits.  (Yes, even the inhaler!)

It's perfect! Thanks James, that was a TERRIFIC idea!


Rhode Island Drivers Dumbest, Survey Reveals, Bay Staters Second Dumbest

CNN reports that GMAC Insurance conducted a nationwide survey of 20 million drivers to assess their knowledge of road safety and proper driving practices.  The survey reveals that drivers in the Northwest are the best, and drivers in the Northeast are the worst.

…The state of Rhode Island leads the nation in driver cluelessness, according to the survey. The average test score there was 77, just eight points above a failing grade.

Those in neighboring Massachusetts were second worst and New Jersey, third worst…

Anyone planning on travelling in New England this weekend?   Drive carefully!


Hey, I'm Over Here…

My daughter has had trouble in school this year.  She has a hard time remembering stuff she's taught, and she clearly has an anxiety disorder just like Dad.  When I was a kid, my anxiety debilitated me socially… I couldn't get along with others.  With my daughter, it debilitates her educationally.  Socially she is fine, but if she becomes anxious, her educational performance goes downhill fast.  Earlier in the year I had warned her teacher about this…

TEACHER: “She had done so well on that test and I was so proud of her, I had her come up to the front of the class and asked her to tell me what a noun was.  She couldn't.  She couldn't say 'person place or thing', I was flabbergasted.”

ME: “You see?  You put her on the spot.  With Lynnea it's all about frame of mind.  If you can keep her in the proper frame of mind she can do fine.”

Apparently Lynnea isn't the only one for whom stuff isn't sinking in.  Lynnea's grades were in a continuous downward spiral and the teacher continued to express fear and concern.  And it's fairly obvious to me that Lynnea picked up on the teacher's fear and concern, and became fearful herself, and of course, this led to a further degradation of her performance.

Finally Neya said to me one day “I'm probably going to have to stay back.”  I'm not sure where she heard that, but it could have been her teacher.  In my conversations with the teacher I kept hearing the same things:

“I'm just worried sick about her.  When she gets to third grade she's going to be in trouble if she can't manage this material.  She's going to have to face MCAS in third grade.”

This is one thing I hated about school when I was a kid.  “If you can't master algebra then you're going to end up collecting garbage for a living.”  “If you can't tell me what a homonym is you're going to be in real trouble when you get to third grade.”  “This sixth grade social studies material is vital, and if you can't learn it then you are going to have serious problems later on.”

Fear is not a great motivator for children, particularly those that have anxiety disorders like myself or my child.  It really bothers me how all through school I repeatedly got the message “this is crucial, if you can't learn this then your life is over”.  Lynnea is getting that message, I can tell, and it is not helping.

So we restructured Lynnea's home environment and completely cut out TV on school nights.  We had always worked with her on her homework, but I had noticed Lynnea was relying on us to check it for her.  So now if I notice a problem on her homework, I simply say “something's wrong, check it over and fix it.”  Before I would say “you got the answer to number 6 wrong, do that one again.”  That was no good, and I had to patiently explain to Neya that in school the teacher wasn't going to give her a test back and let her correct the errors before grading it.

Another problem we had was Lynnea's weekly vocabulary test.  The teacher would send home some sentences on Monday that included a list of words that Lynnea needed to learn.  Lynnea was to copy the sentences into spaces provided and return them to the teacher the next day to be graded. On the test which was given on Fridays, the sentences would be dictated aloud and Lynnea would lose points for any mispellings.  For example the vocabulary word might be “MAKE” and the sentence might be: “Please ask Bridget to make me a sandwich.”

So having studied the vocabulary words Lynnea might write: “Please ask briget to make me a sanwich.”  Lynnea would lose 6 points here, 2 for mispelling Bridget, 2 for mispelling sandwich, and 2 for not capitalizing Bridget's name.  In case you missed it, she got her vocabulary word correct.

So what's the big deal, just study the sentences right?  Well despite repeated requests, the teacher often chose not to send the graded sentences back home so that Lynnea could study them.  The list of vocabulary words would come back home, but not the sentences.  WTF?  If my daughter is expected to learn words like “Bridget” and “sandwich” then they should be on the list so she has something to review!  Eventually my wife and I got tired of this and simply made a photocopy of Lynnea's sentences each week.  Then on Thursday night and again on Friday morning we would review the vocabulary words with her and dictate the sentences to her.  Any word mispelled or any other error and she would be retested on the error.  Basic errors like punctuation and capitalization she is expected to identify and correct herself… if we see any problems there its “something's wrong, check your work.”  We gave Lynnea a mantra to say to herself every time she wrote a sentence: “What does every sentence begin with and end with?”

Do to this restructuring and more intensive approach to her studies, Lynnea has begun making great strides.  Over the last 3 months, Lynnea has stopped bringing home tests marked with 30's and 40's and now consistently brings home tests marked with 80's and 90's and the occasional 100.  Now when Neya hands me her math homework or her writing homework, it is rare for there to be any errors at all.  The other day I caught Lynnea reading books all on her own without any encouragement from me.  I am elated with this improvement.  Problem solved right?

Not according to her teacher.

Mrs. name-omitted feels that Lynnea should repeat the second grade.  We had very mixed feelings about that.  Often Lynnea, in frustration at not being able to solve a problem, would tell me “I'm DUMB!  The other kids are all smarter than me!”  Lynnea. Is. Not. Dumb.  When she is relaxed and comfortable she makes observations that stun me, observations which imply a thoughtful, active, and intelligent young mind.  Nonetheless, she feels stupid.  I can only imagine how having to do second grade over again would make her feel.  Lynnea is bigger than most kids 1 or 2 years older than her.  If she redoes 2nd grade next year she'll really feel that she has been put in with the “little kids”.

So we asked the school to evaluate Lynnea to see if she was a special needs student.  The testing was extensive, during the time in which Lynnea was making dramatic improvement, she was being pulled out of class and tested by various specialists for math, reading, logic and reasoning, social adjustment, physical development and so forth.

The results?  Across the board, Lynnea is average to above average for her age, and appears to know the material any second grader should know.  This came out in a meeting with us, the specialists, Lynnea's teacher, and a state official in charge of special education programs.

Consistently all the specialists said the same thing–the one problem they noted was anxiety.  If Lynnea became nervous she could no longer perform and the specialist would have to encourage her and give her a moment to settle down before continuing the test.  More than one of them said that Lynnea's first reaction was “I can't do that” or “I don't know how to do that”, but when encouraged to try with positive reinforcement, Lynnea did fine.

Lynnea needs to believe in herself.

Which is basically what I told the teacher when Lynnea first had problems.  But what do I know?

At the meeting the teacher was clearly mystified that Lynnea had done so well, and finally took the tack of “Be that as it may, she needs to be able to demonstrate this ability in the classroom, in third grade they have to do MCAS.  Lynnea can't demonstrate in the classroom that she knows the material.  I can't test her.”

I pointed out that in the last 3 months Lynnea hadn't brought home a single test or worksheet with a score below 70 and most of them are 80 or better.  Pat and I both felt that Lynnea had demonstrated she can do the work, and Mrs. name-omitted clearly can test her now even if she couldn't before.

The teacher admitted that there was improvement, but clearly didn't believe that Lynnea knew the material.  She pointed out how recently Lynnea was unable to correctly define “homonym” on a test (because, you know, it's freaking vital to know what a homonym is.)

Lynnea reviewed homonyms, antonyms, and synonyms with me the day before that test.  And she does tend to mix up “synonym” and “homonym”.  This was further complicated by the definition the teacher was trying to get Lynnea to memorize.  According to the teacher:

  • Synonyms are two words that are spelled differently, sound differently, but mean the same thing.
     
  • Homonyms are two words that are spelled differently, sound the same, but mean different things.

For the record, homonyms do NOT have to be spelled differently.  “BANK” as in financial institution, and “BANK” as in the edge of a river are homonyms.  I looked it up.  Also with respect to synonyms, who freaking cares how they are spelled and what they sound like?  That's not important.  Words are synonyms if they MEAN THE SAME THING.  So the definitions Lynnea and I practiced were:

  • Synonyms are two different words that mean the same thing.
     
  • Homonyms are two words that sound alike but mean something different.

She got away with the definition of synonym, but on homonym she wrote “homonyms are two different words that sound alike”, and lost points.   Unless I'm mistaken, although she didn't spell out a “difference in meaning” but she did say “different words”.  Are there any examples of two different words that sound alike and mean the same thing?  I can't think of any, unless you include regional spelling differences like COLOR and COLOUR.  Nonetheless, we went over the test together, and I reminded Lynnea that she had to say “and mean different things”. As far as I was concerned it was a minor issue. 

The ultimate conclusion of the meeting was that Lynnea needed “special consideration” in the classroom (i.e. don't make her nervous) because of her anxiety disorder, but didn't require special ed.  Pat and I made clear our intention for Lynnea to begin seeing a therapist to help her work on her anxiety and to evaluate her and see if she needed any pharmacological help.

I pointed out to Mrs. name-omitted that Lynnea believes herself to be stupid.  I said that I felt being held back a year would only reinforce that mistaken belief.  Further, I felt that now that Lynnea is clearly demonstrating a mastery of the material in the homework I'm seeing, she would likely become incredibly bored if she had to do all this material over again next year.

Mrs. name-omitted was nonplussed, and chose to make official her recommendation that Lynnea repeat the second grade.

Pat and I spent a long time thinking about it and talking about it, and have decided to overrule Mrs. name-omitted and move Lynnea along to third grade.  We selected the teacher with the best reputation for being understanding with students and sent in the paperwork.

The school guidance counselor took Patty aside recently and told her that she felt Lynnea would probably do better “in another classroom”.  She confided that she had recently learned that Mrs. name-omitted was “a screamer”.    In other words, she raises her voice a lot in class.  I'm sure that's very conducive to productivity from the children who have anxiety issues.

By now you may be getting the impression that I don't like Mrs. name-omitted.  As a person I neither like nor dislike her, but I do feel that she has become part of the problem.  I think that despite dramatic improvement she continues to see Lynnea as Lynnea was, rather than as she is.

She's not a good fit for my daughter.  Lynnea has confided in me that Mrs. name-omitted “freaks her out”.  I can see why.  Mrs. name-omitted always appears to be putting on a performance–all of her movements and expressions are highly exaggerated.  When she offers encouragement or says something positive it feels incredibly fake.  And finally, Mrs. name-omitted is one of those people who always looks anywhere but at you when she is speaking to you.  She can't look me in the eye and talk to me about what's going on with my daughter in class.  This further creates the impression of someone who is acting, as opposed to just being truthful.  During the meeting, whenever the teacher was speaking to me, I had to fight a very strong urge to wave my arms around and say “Hey, I'm over here.”

Bluntly, Mrs. name-omitted is weird, and perhaps of limited insight as it doesn't appear to have occurred to her that maybe, just maybe, she is part of the problem.  Despite the fact that she sat in a room full of experts who said that Lynnea was above average and knew the material.

So Lynnea will be going on to third grade next year.  Are we worried that we might be making a mistake?  We're terrified.  But we're going to work with Lynnea over the summer.  She's going to continue to do vocabulary and math and reading.  We're not going to let her forget what she's learned.  Wish us luck.


EDIT: This isn't the first time I've written about Mrs. name-omitted.  You might recall my article about gender roles earlier this year.


I Need a Purse … or Something

Contents of my pockets:  1 ball point pen, one binder-clipped stack of index cards, 1 cell phone, 1 wallet, 1 digital camera, one huge wad of keys including two sets of car keys with those little plastic alarm-widgets, and a 256 Mb memory stick.  Did I mention there's a pedometer clipped to my belt?  Yesterday I had a bout of athsma and realized I wasn't carrying my inhaler.   I need a purse…

Despite the fact that the average temperature over the last 7 days or so has been a balmy 42 degrees here in New England, coat season is just about over.  The season for t-shirts and pants (or even shorts) is almost upon us.  Where am I supposed to put all this junk?  I can't stick it in my pants pockets, it will just make them fall down.

When geocaching or hiking I carry a pack, so I can keep it all in there, but I don't carry the pack otherwise.  The pack is big and impractical for everyday use… for the amount of junk I need to lug around a backpack or an attache case is overkill.  I need something on the order of like 8 inches by 8 inches by 4 inches… with a shoulder strap.

Sounds like a purse, and I'm not going to carry a purse.

I carry all this stuff because I need it.  At some point or another I have found myself wanting it and cursing myself for not having it with me.  Check out that wild deer!  Get a picture… duhhh… I forgot my camera.  Oop!  Car broke down, call a tow… duhhh… I forgot my cellphone.  Hey great idea!  Write that down so you won't forget it… duhhh… I forgot my pen and index cards.  You get the idea.

I don't think a fanny pack will cut it.   I need a Batman-Utility-Belt or something.  Can anyone recommend anything?  Something not purse-like that isn't too big and will fit all this stuff?  My coat's putting in for summer vacation and I'm running out of pocket space.