Archive for the ‘Uncategorized’ Category

  I WASN’T THAT IMPORTANT, OR WAS I?

June 14, 2015

A few years back, we drove over to LA for the wedding of my youngest niece.  The other two had had their weddings on the East Coast, but we aren’t close to our families, and we didn’t go.  LA was a day’s drive away, and we thought we ought to make at least one of the weddings and see the family.  We both felt it was a duty, so we did it.  Family visits, of course, have a down side, but that’s families, and that’s duty.  You pick your friends, not your family.

On the plus side, I could get to see Channel Islands National Park, which was on my “See all the National Parks” list.  We drove over on a Thursday, mistakenly believing that staying up in Ventura would make the travel easier.  It didn’t.  We entered freeways where speed went from 75 to zero in a half mile.

We had a great visit on Santa Cruz Island the next day.

On Santa Cruz Island. Hard to believe 10 million people are right across the water.

On Santa Cruz Island. Hard to believe 10 million people are right across the water.

IMG_3667

On a big plus side were some whales.

Anacapa Is. from Santa Cruz.

Anacapa Is. from Santa Cruz.

We thought we could easily make the rehearsal dinner that Friday night, but well, the boat bringing us back from Channel Islands was a little late, so we got to the hotel a little late, and check in was a disaster.  The first room had luggage present which wasn’t ours, and when we went back to the reception desk, a good walk in its own right, they looked at us with disbelief.  We did get a second room, except the room card didn’t work.  Back we went.  Bottom line was that we could get into the third room with about as many swipes of the card. We took it.  The hotel was deemed 10 stars; I wondered aloud whether “10” was binary notation.

Somewhere along the line, my observant wife noted both the clock and a Trader Joe’s next door, announcing to me that we weren’t going to the rehearsal dinner.  I had a brief moment of “we can’t do that,” followed by visions of driving in LA on a Friday night, which in my 45 years of driving in several countries, was in the top three for difficulty (Toronto and Cádiz, Spain are the other two). After the “we can’t do that,” came “wow, we could just relax and start the visit early tomorrow morning,” which is exactly what we did.

Saturday morning, we went to the bride’s house, offering our services for whatever she needed.  We weren’t part of the wedding party, but we had a car, which is a total necessity in LA.  My niece desperately needed a few things at a pharmacy and a store, and we got them with no problem.  She was grateful.  I thought that nice, given that what we got was easy to do.  For us, it was.  We then took my sister-in-law (SIL) out for coffee.  That got her out of the house, for which both she and my niece were appreciative, albeit for very different reasons.  We went to a coffee shop for about an hour and a half, and for the then 42 years I had known her, we had the best conversation I can ever remember.  I think the fact I was fairly relaxed, aside from being in LA, and my SIL really stressed had a lot to do with how well things went.

We went to the wedding early.  I hadn’t been looking forward to meeting my SIL’s estranged husband.  I didn’t like him on several levels, not the least was how he had treated her.  He had crossed Jerk Junction so many times that it no longer had a “Stop and Think” sign.  A short time after we arrived, a few older men showed up, and my wife and I went down to meet them.  Sometime after I shook hands with all, my wife commented, “That was xxxx, you know.”

I didn’t.  I don’t have prosopagnosia, or the inability to recognize faces, but I am not exactly good at placing faces on people, especially those whom I have not seen for 16 years.  I hadn’t a clue that I had just shaken hands with the estranged husband, which meant that I treated him like a stranger, which in many ways he was, politely, without giving away my dislike.  Wow, I couldn’t have scripted that better if I had tried.

The wedding went well, and at the dinner, I volunteered to sit between the parents of the bride, her near-ex’s voice booming out loud and clear, as he was the Master of Ceremonies.  It wasn’t a big deal, after all, sitting between the two of them.  I had to deal once with his trying to bring up Navy days, for we both served in very different ways, but I had no desire to talk either to him or about my time in the service 35 years earlier. I ignored him.  I made sure I turned towards my SIL, listening carefully to her and my wife, talking when I could, and somehow getting food into my mouth without looking at my plate, in order to avoid any further interaction with her then-husband.  When husband got up to make a toast, I shoveled food into my mouth.  The rest of the time, I kept the two of them away from each other, possibly avoiding a scene. When things were winding down, we left, got back to the hotel, and were on the road early the next morning, eastbound to the Colorado River and Arizona, LA in our rear view mirror.  Mac Davis in reverse, for those who go back to 1980 in their music.

We weren’t at all important in the wedding party.  Yet, I have fond memories of what I did that day.  We were the two most relaxed people present.  We had time to run errands, we had time to separate mother from niece, woman from husband, and we made good use of the time.  We did it quietly with no fanfare, no raising of voice, nothing at all.  We were there.

Maybe I was important.  For years, I gave my SIL and our nieces gifts during the holiday season.  The biggest gift I ever gave them, however, was that day in Los Angeles.  Maybe they remember it, maybe they don’t.   No matter.  I do.  Like most gifts, the giver gets a lot back in return.

My SIL still sends me e-mails.  I cringe when they come.  Family.

WHAT WAR? UPON WHOM?

June 11, 2015

A few years ago, many right-wing talk show hosts complained vehemently about a “War on Christmas.”  A few places, trying not to offend anybody, had required “Happy Holidays”.  Others tried to cater to Chanukah and Kwanzaa, as well as Christmas.  Back in the good ‘ole days, when we had Christmas, by golly, men worked, women stayed home, with 2.3 children, all the dirty dark secrets of everybody, including pedophile priests, remained hidden, and we had a Christian nation.  Back then, smoking and being drunk were cool, blacks were not called that, interracial marriage was a sin (but not interracial sex, as Strom Thurmond did), and gays were thought to be pedophiles.  The good old days weren’t so good.

If there is any war on Christmas, it is the daily financial report in December how sales, and by extension, our economy, are doing. I didn’t think Christmas was about shopping, but I’m not a Christian, so I may have missed something. Being brought up Unitarian, where in my world people were Catholic, Protestant, or Jewish, Christmas was an important holiday, even for kids, for while it meant presents, it also meant caring for those less well off and peace on Earth.  Unitarians believed we had a social duty to our fellow men during our only existence.

In June, I don’t want to write about a war on Christmas.  I am more concerned about those who say there is a war against Christianity, Christians are being persecuted, fascism is afoot, and this is the first step of Nazi-ism, which is a horribly inappropriate word to use.  I’ve seen Mauthausen, where people jumped—or were pushed (they had only those choices)— to their deaths (“Parachuters without parachutes”) with guards laughing. I’ve seen Stolperstein, the brass plaques on cobblestones, commemorating those who once lived at that place, deported and later murdered. Such comparisons by right-wing Christians are not only wrong, they demean those who died, including 1500 who deliberately chose death by crossing an electrified fence to escape rather than to remain imprisoned.

I’m not against Christianity, only against those who want to live in the 5th…or 19th century.  We are today a more diverse, overpopulated world, the last due in great part to religion’s requiring women to bear as many children as possible.

In addition to Christianity, we have Islam, Judaism, Hinduism, Buddhism, Wiccans, and the most hated group of all, the one group that won’t ever win the presidency in America:  atheists.  The world is not only more religiously diverse, there are those who have a variant of human sexuality, wanting same sex partners.  These people desire to marry, for without marriage, they have no civil rights should one of them become ill.  They do not sully marriage, but they have become hated by so-called Christians, who are supposed to be tolerant of others. It is so bad that some states are outlawing “conversion therapy.”

I have a deeply spiritual side that questions the reason for my existence, the nature of the universe, whether there is a Creator, and is intensely curious about the world.  I believe in the right of people to worship the way they choose, to marry whomever they choose, to live their life the way they choose, so long as it does not infringe upon my right to do the same.  I was against the Iraq war, which Christians started.  Many Americans placed yellow ribbons, with the shape of a cross, on their vehicles, making the war appear like a crusade, the word used by the prior president, later apologizing for a bad choice of words, but not for his bad choice of war.  Instead of “blessed are the peace-makers, for they will be called the Children of God” (Matthew 5:9), we had “shock and awe” (Rumsfeld; March:2003).

Too many of these so-called Christians hate blacks, vilify a half-black president, hate Mexicans and Central Americans who come here for a better life.  I don’t blame those who come here for a better life.  I sadly take the realistic approach that America can no longer save the world, either militarily or humanely.  There are things we can and should do, but policing the world and taking in every refugee is a non-starter.  How we go about changing that and remain true to our ideals is a difficult endeavor.  Banning birth control, which the religious right wants, calling women “a different cut of meat,” disallowing abortions when a raped woman becomes pregnant, which even Iran allows, saying a woman’s body can reject a rape-caused pregnancy, shows a profound war on women.  Want fewer refugees, fewer wars? Start with world-wide birth control, equal rights for women, and in two generations, we’d see a difference.

I reject that notion of a war on Christians.  I am against hate, anti-science hypocrites who use things science provides, megachurches, and Republican support, when it comes as a message of hate, intolerance of others, an armed society, make as much money as possible, destroy the environment, and not regulate anything.  They want their prayers in the public domain; politicians must be believers, preferably white, and non-believers are going to hell.  Regarding the latter, Christians, Muslims, and Mormons have all told me I was going to hell.  They all claim to be right, so either 5 billion people are wrong, or the few who think the way I do are right.  If I voluntarily help a students with math problems, teach adults and children how to read, teach English to people in 90 countries without pay, log on to an algebra site and help people with questions, organize and lead hikes, donate to humane societies, volunteer in several environmental organizations, is that not doing good?  One Muslim woman told me I was going to hell, even though she liked me.  She has since said I was the nicest person she has ever known, and her homeland is 99 per cent Muslim. What kind of disconnect is this?  If religion says that people who do good go to hell, then I want no part of it.

How can these Christians not believe in climate change, what we have done to the environment and to humanity?  Not one of the Presidential candidates on the other side admits that the climate has changed.  “God said, ‘Let the earth bring forth living creatures of every kind: cattle and creeping things and wild animals of the earth of every kind.’ ”  Where did it say, “thou shalt increase the extinction rate of species one thousand fold”?  Where did it say, “And thou shall rain fire and horror down upon a country that did not attack you, but whom you convinced your people it did”?  Where does it say, “Exponentiate” instead of “multiply,” and why has nobody to my knowledge other than me said, “Be fruitful, but you may multiply by one half or by one”?

War on Christianity?  No. But I am speaking out against those who profess to be Christians but whose behavior is completely counter to the teachings of Christ.  I’m not fighting Jimmy Carter.

I am, however, resisting those who say “God, Guns, and Guts made us great,” for they are cowards at heart, bully others with their weapons, and make a mockery of their God to whom they think they alone have a direct line of communication.

PUSH BUTTON EDUCATION

June 2, 2015

“You guys have all given me different answers, and I don’t know what to do.”

The math tutoring room at the local community college has two parts, one for advanced math—trigonometry, pre-cal, and calculus; the other is for basic math, from carrying and borrowing up to college algebra.  I work in the latter, but as somebody with a Master’s in statistics, I am often the “go to” person for statistics questions.  The fact I have seldom used statistics in the last decade has made me rusty, but the material comes back, so long as one learns it well the first time.

When the individual came to me stating the conflicting opinions she had received, I should have either turned her down or told her she was going to have to decide up front whom to believe.  If I were not that individual, she should leave, and not waste her time.  The issue itself was a 1-sample proportion test, one of the M &M problems, where a certain proportion of different colors are put into the bag, people count out the number of each type to see if the proportion corresponds with the claimed proportion, within a reasonable margin of error.

The student had used the instructions given to her what to input into the calculator and found a probability that made no sense to me.  I looked at the question and came up with the correct probability.  The example she copied looked at the probability’s being greater than a specific number; the problem she asked me looked at the probability’s being less than a specific number.  She didn’t understand that the example given to input and the problem were asking opposite things.

I tried every way I could think to explain the issue to her.  I have become more adept at calculators, finding them fast and helpful.  This woman, as are so many students today, was faster with the calculator than I.  Her problem, however, was something that it took me some time to figure out.  I had drawn a diagram of the probability curve, the Bell-shaped normal or Gaussian distribution, and she had looked confused.  That led me to finally ask a simple question:

“Have you ever computed these probabilities using a normal probability table?”

“No.”

I now understood her problem.  She was being asked to input data and push a lot of buttons.  Unfortunately, she had no idea what was being done to the data and why.  A lot of statistics is finding the difference between the sample and a postulated or known mean/average, then dividing by the standard error, a measure of variability.  The concept of variability is critical to understanding not only statistics, but everything statistics is used for, be it political campaigns or climate science.  Natural processes, like heart rate, body weight, stock market prices, or temperature, are not the same when measured over a period of time.  They fluctuate, and statistics helps us understand the fluctuation.

Dividing the mean by the standard error normalizes the data, allowing it to be compared to one standard, this instance to a table to find a probability.  By doing many problems where I had drawn a bell-shaped curve and looked at probabilities, I understood the concept well enough to teach it to undergraduates in Las Cruces for two years and in Tucson for another four.

This woman was from another generation of students, however, and in the decade where I have not been heavily involved with statistics, drawing a picture of how the data were distributed and having a sense of what the data were trying to say has atrophied, at least where I am tutoring.  The argument I was having with the student had a lot to do with the arguments I needed on the calculator;  she did not understand them, only that she was obtaining different answers.  Put simply, she did not have the background to be using a calculator.  I could say that about many students.  When I taught for a private for profit college, when a student saw a probability “6 E-4,” they wrote “6” as a probability, both impossible and showing no sense of what E-4 means, which is a power of 10 to a minus number:  6 E-4 =0.0006.  I don’t expect the average person to know that; I do expect somebody taking statistics and using a calculator to understand it.

That is only my opinion, from one who learned the material from first principles and is still slow to pick up a calculator, because I am often more comfortable performing my own calculations.  It remains to be seen whether we will continue to teach by calculator or teach by understanding the material, using the calculator as a tool to speed up the process.  I fear that in our rush to educate people, we are giving them instructions as to what buttons to push in a lot of subjects, without any idea of what is going on inside a calculator or more importantly, inside the system we are analyzing.

This is not idle philosophical musing.  When I taught, more than half the class did not understand what “the rate of increase in health care costs is declining” meant.  To them, the statement meant that the costs were decreasing, rather than the number was still increasing, but less rapidly than it was before.  This term is commonly used. The concept of statistical error to many people means that statistics is wrong, so it doesn’t matter.  Statistics is unable to tell us the exact results in a population, because from a poll, we do not know what the exact result is for the people in whom we are interested.  Where we differ from other fields is that we quantify the error in terms of confidence and probability, and we know the difference between the two terms.  We reject the concept that “anything can happen,” because we define a priori what “can happen” means.

We need to learn what calculators can do; equally importantly, what they cannot do.  Data that are not collected randomly have limitations what we can say about them.  Calculators do not have the ability to discern that. Calculators answer only what we ask them; they neither ask questions, nor do they tell us what we might want to know.

Calculators and computers are wonderful tools to get information that one needs, but education, critical thinking, and understanding remain timeless.

CAUTION: BEFORE GOING TO WAR, READ INSTRUCTIONS CAREFULLY

May 28, 2015

Early March 2003:  I remember speaking to my father about how many people alive that day would not be in the coming year, due to the impending invasion of Iraq.  I was against the war, because I believed Saddam Hussein had nothing to do with 9/11, there was no convincing evidence of weapons of mass destruction, starting wars was a lot easier than ending them, we would create terrorists by being there, and we would have an influx of refugees.

2015: my father is no longer alive, I still am, and every one of my concerns was correct.  Several thousand Americans and perhaps more than a million Iraqis died; the consensus recently was that the war was a mistake.  Really? Those who made the mistake are alive and rich; incredibly, some of them are still being considered for high level governmental jobs:  Mssrs. “the war will pay for itself” Wolfowitz and Bolton, the latter one of the nastiest men on earth.

With that background, I read American Sniper, by Chris Kyle.  I had some misgivings about whether I really should or wanted to read the book, but did so.  Not surprisingly, there were  things I didn’t like.  He and I were from two different worlds, generations and belief systems.  But we were both Americans, and we both served.  There were areas where I found myself nodding assent.  Mr. Kyle was a warrior, not a writer.  I am a writer, not a warrior. He was a warrior like Patton, for he loved being at war.  He loved it more than family, he and his wife both admitted it.  He had a chance to quit the military but stayed.

What Mr. Kyle wrote should be discussed every time we go to war.  He de-humanized the enemy, referring them as savages.  This is not wrong; it is how people bring themselves to kill other people.  We used “gook” in Vietnam.  He referred to killing simply as “got him.”  He was a superb warrior and sniper who lived for action, had incredible luck, much of which he made, whereas literally millions of others did not have the luck or live.

While Mr. Kyle said he had only one brief “flashback,” he was changed by the war.  I don’t know how he couldn’t have been. Diving for cover when a car backfires is not normal.  I don’t know how any individual can live through war and remain normal.  He and his fellow warriors fought in bars over minor issues and got drunk often.  It doesn’t make them bad; they were young men at war.  Being at war makes such behavior more likely in young men.

We glorify warriors; mankind always has.  When we need them, we want good ones, and Mr. Kyle was the best of the best.  He was humble in his story, lavished praise upon others, and had many narrow escapes.  One man next to him was shot in the eye and was permanently blind.  He lived, but not long.  Another died in Mr. Kyle’s arms. Every person “down” ended up either in a body bag or in the hospital.  This was an ugly war in an ugly place fought by an ugly enemy.  The smells of Iraq cannot be described.  I have smelled similar places.  The smell of blood, the sight of bad trauma I know, although not like what occurred in Iraq.  Mr. Kyle survived an IED and just missed another one; several hundred Americans did not; thousands survived mutilated and beyond repair.  Many are homeless today. Having video games extolling fighting and killing disturbs me deeply.  War is horrific.

Mr. Kyle was a patriot.  Sadly, he fought in a war started by old men who had never been warriors and who had no business starting this one.  He spoke out strongly against politicians giving rules of engagement, lawyers wanting to know if a “kill” should have been done.  Mr. Kyle wrote that once the military is in place, it should be allowed to do its job.  He was dead right.  That is why going to war must be carefully thought out, for the military’s doing what it should do is ugly, often based on misleading intelligence, and many will die unnecessarily. That is war.

The run-up to the Iraq war was a lot of flag-waving and jingoism.  It was “Mission Accomplished,” when 3 years later, the country was nearly a failed state and in 2015 may become one.  The war was illegal and marketed to the American public. The strategy was flawed by men who chained warriors like Mr. Kyle, so he could not be as effective as he could have been.  It made contractors like Blackwater rich for shoddy work, frank murder and showed an uncaring nation in our handling of Abu Ghraib, Guantanamo, Walter Reed, and care for veterans.

I laud the late Mr. Kyle for including comments by his wife, her experiences.  She built her own walls against pain, walls against a person whom she loved.  She did not enjoy war action, for she was raising children and wondering if she would be visited by two men, informing her that her husband was dead, which happened to thousands of others.  As bad as death is, having a husband come home who is blind, had his legs blown off, or his brain damaged in a way that can never be made whole again may be worse.  It is an ongoing hell, and those who go to war leave behind those who worry and deal with “boring,” tedious, necessary day-to-day life.  Warriors fight and have glory, thinking they are immortal, until something happens that ends it all….forever.  Their spouses must bring up children who don’t know a parent.  Some are widowed mothers at 19. That tragedy visited Tucson after Fallujah.

Mr. Kyle’s death at 38 was at the hands of someone he was trying to help, who turned on him at a range, shooting him six times, so sad and ironic.  Mr. Kyle no longer feels, but his wife does and has her own hell to go through, alone.

I’ve served in the military, but I’ve never been a warrior.  Nor have I been or ever will be a hero.  I’ve fired a rifle exactly ten times, 40 years ago.  I never have touched another firearm.  Not once. I don’t shoot bullets.  I write words, try to help people understand the world we live in, and give of myself to causes I believe in.  I won’t be famous, and when I die, few will grieve.  I have lived as an imperfect human being, done some good, seen more of the world than many, been blessed with skills others have not, and tried to speak out against injustice, evil, and wrongdoing.

Had we stayed out of Iraq, the late Chief Kyle would likely be alive today, as would perhaps a million others.  In 2003, few knew Mr. Kyle.  In 2015, most of the country knows of him.  I salute both his memory and his wife, for what she had to do.  I cry out against the injustice, the lies, the waste, my being labelled a traitor, and all the other things the Iraq war did to individuals and to us collectively.  It was wrong, and in 2003, I was in the 16% who said it was wrong.  I wasn’t prophetic.  I’ve read much about war, from the Romans, The Rise and Fall of the Third Reich, and every word Samuel Eliot Morison published.  I walked on Corregidor; I’ve seen Pearl Harbor, the Memorial Cemetery in Manila, gone ashore on Okinawa and Inchon, seen rusted hulks on Eniwetok.

In 1970, we seniors at Dartmouth were asked to answer a question:  “Is there a war that you would want to fight in?” I never forgot the words one of my classmates wrote, back when we were involved in another wrong conflict.

“I can’t imagine there ever being a war I would want to fight in.  I can imagine one I ought to fight in.”

“IT DON’T COME EASY”  

May 24, 2015

Quite by accident, which is how my life usually occurs these days, while tutoring at the community college, I went to an algebra site to check something.  I don’t remember what it was, but when I tutor, I frequently encounter problems I remember but don’t recall exactly how to solve. I understand ellipses and hyperbolas, but I forget how to find the foci or the latus rectum.  I have to look it up.

While on the site, I discovered the solutions were posted by volunteers, so when I had a quiet stretch, I gave myself a user name and logged in, solving a few problems that afternoon.  I found it relaxing, which I am sure would surprise many for whom math is an odious chore.  What I have learned, besides hyperbolas and ellipses, was more than math itself.  Those who do not like math might read on, for you will be surprised.  Those who do like math will likely shake their heads in agreement.

The first lesson comes early in Ringo’s and George’s lyrics:  “You’ve got to pay your dues, if you want to sing the blues.” MATH TAKES PRACTICE, just like the piano.  I practiced the piano an hour a day and took lessons for three years.  I got better.  Oh, I never got past a couple of recitals, where a dozen of us played solo to our parents and a few others.  Wow, I was nervous.  But I did fine.  I played “By the Sea,” which I had memorized.  I played it well and everybody clapped.  I never thought I had musical talent, and to be sure, I don’t have much.  But I could play the piano; I could read music and even change it into different keys.

I think latent math talent exists, too, but one has to follow the guidelines, of which practice is the most important.  Practice allows one to solve problems, but it has a bigger advantage.  When one needs such math in the future, while it may have been forgotten, it returns quickly.  I never forgot the slope of a line.  I did forget the point slope formula and quickly relearned it.  I forgot how to integrate by parts, but I re-learned it enough to astound a few people in graduate school, 30 years later, when I blurted out the integral of log x one autumn afternoon in Las Cruces.

Sit with me as I tackle online a routine problem.  Routine problems are ones I can do without pencil or paper.  People submit them to get help.  Watch my thinking, but more importantly, WATCH HOW I MAKE MISTAKES.

Joel and Nicole each together have 350 coins.  When Joel gives away half of his and Nicole a third of hers, they now have the same number of coins.  How many did they start with?

I love mixture problems; I’ve never had to review them.  It’s sort of like a guitarist who learned “Don’t Think Twice” in the 60s, never played it since, and tries to play it at a gathering.  He may not tune the instrument quite right, and he gets a few chords wrong, but he plays the song, and it is appreciated.  Math is intertwined with music; an eighth note is held twice as long as a sixteenth.

I let Joel’s coins = x  and Nicole’s = y.  I could let Nicole’s equal 350-x, a trick I use, if I choose to use only one variable.  Musicians have tricks when they play, too.  They put a song in D major, rather than in D.  They invent stuff.  I have in math, too. Back to Joel and Nicole.

x + y =350.  That is a fact.  Translate: Joel and Nicole together have 350 coins.

Joel gives away half his coins.  He has half left, (1/2)x.  I put parentheses around the numbers, because 1/2x is not the same.  Hey, you play in E minor on a piano, you may touch the D major key, same one, but it doesn’t sound the same.  (1/2)x is not the same as 1/2x.  We’re no different in math.

Nicole gives away 1/3 of her coins, so I first write she has (1/3)x.  I am not correct, and when I later check the problem, it isn’t right.  I return to the beginning, BECAUSE SOMETHING ISN’T RIGHT.  I don’t convince myself it is right, I don’t dictate it is right.  It is NOT RIGHT.  I have an open mind and start over, asking WHERE DID I GO WRONG?  A lot of politicians ought to ask themselves this question.  The guitarist knows when it doesn’t sound right, too, asking himself where he went wrong.  I and the guitarist are on the same wavelength.  WE KNOW IT JUST ISN’T RIGHT.  Oh, I discover, Nicole has (2/3)s of her coins left, not (1/3).  What was I thinking?

Can you see that somebody like me, good in math, makes a simple mistake?  If you aren’t good at math, did you ever realize how many mistakes mathematicians make?  We make them all the time!!!

OK, so (1/2)x=(2/3)y .  Now, there are at least three different ways to solve this, but I’m not going to play the song in 3 different keys, just one.  I’m lazy, and I like my math simple.  If I double (1/2)x, I get x.  If I double (2/3)y, I get (4/3)y.

x=(4/3)y,  I like this.  It feels right, just like hitting the proper chord feels right.  You sense it.  We’re brothers here.  The sense is well known in sports, where it is called “the zone”:  Bill Bradley was once interviewed during practice.  He made a 20 foot hook shot while talking:  “You have a sense where you are.”

Now instead of x+y= 350, I have (4/3)y + y=350.  One variable. But y = (3/3)y.  You’d be amazed how often we math guys multiply by 1, which doesn’t change anything.  Not only that, we multiply by really strange “1”.  Here, it is (3/3).  Sometimes, it is (√7 + 2/)(√7 +2).  That is also 1.  Even stranger, we may add 0, because it doesn’t change them.  Crazy.  Until we add 36-36 to an equation that has (x2+12x), allowing us to write (x+6) – 36.  Both of those are equivalent, but we can do things with the second that we can’t with the first.  I now add the y’s: (4/3)y + (3/3)y =(7/3)y, which equals 350.  I flip the fraction over, because (1/2)(2/1)=1 and (7/3)(3/7)=1, and I want 1y or just y on the left.  I must multiply the right by (3/7), too, and without boring anybody, y=150.

I make another mistake, a rookie one.  I usually solve for x, but if Joel had 150 coins, Nicole had 200, and one can’t divide 200 evenly by 3.  I WAS WRONG.  Two minutes later, I realized I had solved for y, and when I went to the top, I had CLEARLY WRITTEN BUT FORGOTTEN that y was Nicole’s.  She had 150; that checked just fine.

This is a simple example to a math guy.  We make many mistakes.  All of us.  We copy the problem wrong, we forget a minus sign, we add wrong.  Yeah, that too.  I’m just a guy who plays with math to relax, hitting a lot of wrong notes along the way.  Like the guitarist, I make good music, but “You Know, it Don’t Come Easy.”

I paid my dues.

ZWEI ALLEIN (TWO ALONE)

May 14, 2015

The man was adamant.  “My wife will not have chemotherapy.  We survived the concentration camps, and we will both go together.”  His wife had cancer metastatic to the brain, and other than radiation, there wasn’t anything else we were going to be able to do except control brain swelling.  I had the sense the man was challenging me, but I wasn’t about to fight them, not a pair of concentration camp survivors fighting their own losing battle.

A few weeks later, I read in the newspaper that there had been a murder-suicide in an elderly couple.  The name was familiar, and I knew exactly what had happened.

I watch German videos online every day.  I no longer spend 3-4 hours daily learning vocabulary, memorizing lists, or studying grammar.  I did that for a few years, but I moved on to other interests, as I knew I would.  I like exploring the world; there is so much to see and do, and I find the time short.

Today, I listened to a video where the ending was not perfect, unfinished.  It was real. It was powerful. The plot was simple enough.  A woman, Henriette, and her sister were walking in a park, when suddenly a robber jumped out, stole the sister’s purse and shot Henriette in the abdomen.  The sister was unhurt and got help, but Henriette died in the hospital during surgery.  There had been 4 murders in the park in the past several months, so this appeared to be another.

Benedikt, her husband, was a bus driver.  The next day, he went to work, confused, and drove the bus past people waiting, through a red light, and was pulled over by the police.  When they learned his wife had died the day before, they told him they would take him home.  Benedikt suddenly left the bus and took a cab, not home, but by places where he had spent time with his wife.  For the next several days, he acted like a grieving man. Flashbacks were shown, one finally showing the Henrietta with him, months earlier, suddenly collapsing from abdominal pain.

It dawned on me that perhaps this shooting was intentional.  Indeed, it soon became obvious.  The woman had visited a gynecologist and had a malignancy, likely ovarian cancer, although it was not stated.  She and Benedikt had discussed her disease, decided against further treatment.  The police in the meantime, had discovered the perpetrator, but the latter stoutly denied anything to do with this murder, even as he laughingly admitted to the others.

At the end, it was obvious that Benedikt had shot his wife, with her prior consent.  His sister-in-law finally discerned the truth and watched helplessly at the end, as Benedikt held a gun to his chin.  He suddenly fired the gun at the sky, at God, he said, and the movie ended. There was no “closure,” a term that needs to be used less, since many seem to believe that candlelight vigils and other memorials will help speed closure.  They don’t.  Closure takes time, and Americans, for whom time is precious, want to speed up something that has its own schedule.

In Oregon and four other states, Benedikt’s wife and the woman with metastatic cancer could use Death with Dignity.  Both women were had a life expectancy fewer than 6 months, mentally competent, and would have qualified for a prescription, if two physicians, one of whom could be the individual’s personal one, agreed that she were terminal. Two requests have to be made 15 days apart.  This is not a “I want it tomorrow” issue.   The prescription is then taken to a specific pharmacy, filled by a specific pharmacist, because some pharmacists refuse to fill it.  Then, at a time of the patient’s choosing, the patient takes the pills, becomes unconscious and die.  No gun, no jail for the spouse.  It is terribly sad, but the individual is in control of the dying process, which was going to occur soon regardless.

Do we think that people don’t know they are dying?  Do we have to let the soon-to-come death come on its terms, rather than on a patient’s terms?  Oh yes, there is palliative care, and while it is good, if I have pancreatic cancer or a glioblastoma I don’t want death on death’s terms.  I don’t want to lose half my weight, become jaundiced, lie in a bed for weeks, slowly dying, even with pain control, seizure control, and being kept clean, all a very tall order, because not all palliative medicine is the same.  There won’t be a sudden miracle, and anybody who practices medicine as I have is far more an expert than those who live in a dream world of fluff and unicorns, where there are happy endings.  No, I wouldn’t want to die.  But I would not take my life, the disease would.  If it is a matter of one day vs. a few weeks, why should I not have control?  Isn’t that a civil right of mine?  What is more private to an individual, more of a right, than their right to exist?

Oh, I know the arguments.  Hospice can do this, except there are hospices that don’t do it, and I don’t want to end up in one of them.  One charged Barbara Mancini for murder when she handed her father morphine that he asked her for.  It wasn’t even clear he wanted to end his life then.  He wanted it for pain and was taken to the hospital against his wishes and given naloxone to reverse the morphine.  He died a few days later, the way he did not want to.  About $100,000 later, jail time, and national press, Ms. Mancini was acquitted, with a 42- page scathing report written by the court against the prosecutor, who may now be in Congress.

I am not on a pedestal shouting this to the world.  Or maybe I am.  In any case, the slippery slope that the Catholic Church and others predicted would happen in Oregon didn’t.  The thousands of people predicted to die every year hasn’t reached one thousand yet, and the law has been on the books for 17 years.  A third of the people who get the drug never use it.

I say all this as a former neurologist who spent 17 years practicing in a Catholic hospital, where I had no trouble pulling tubes and stopping feeding of those on whom I diagnosed irreversible brain injury and the family told me “he never wanted to be like this.” I wasn’t playing God.  The Church and I had no disagreement about discontinuing futile treatment.  Many of my colleagues disagreed with me, and I wasn’t popular, although a dozen referred their families or themselves to me, even if they didn’t refer me patients.  The ICU nurses, who frequently dealt with death, respected me.  That respect mattered.

The probability we will live to 90 in great health and suddenly die is highly unlikely.   I’ve seen and dealt with the reality.  We need to remain compassionate, accessible to families, and allow in all 50 states this final civil right.  It isn’t suicide, and it isn’t forced.  It’s humane, sacred, and its time has come.

DAY OF RECKONING

May 8, 2015

A recent Facebook post showed a way to divide that the individual said “made no sense” to her.  Others weighed in with similar comments, saying they learned division differently.  They didn’t say whether they could still divide.  The complaints were leveled at Common Core, which now is to blame for everything wrong in education the way Mr. Obama is to blame for everything wrong in America.  Teachers are now getting on the bandwagon, in some instances bragging how many children are opting out of the test.  Before I tackle that problem, let me address this division problem, for there are several ways to do it.  First, if one doubles 2460 to get 4920, and divides by 10 (doubling both divisor and dividend doesn’t change the answer), one gets 492.    IMG_1117

That is how I would do it in my head.

Here, one is breaking down 2460 into numbers easily divisible by 5; namely, 2000, 400, and 60, and adding them.  Same answer.  This would be my second choice.

What I asked was how many could divide 4 into 3586.  To me, if one cannot do that problem quickly, the way they learned division didn’t work for them, and the issue isn’t with Common Core but with how to divide.   I divide 4 into (3600-14), to get 900-3 1/2= 896 1/2

As for parents not being able to do their child’s homework, my father, a science teacher, wasn’t able to help me with my geometry homework, either. That’s not common core; it’s the fact that  over time we forget how to do things.  If one learned how to divide but no longer can do it, with brief practice, one could again do it well.  I re-learned calculus 32 years after I took it.  I wasn’t brilliant, but I had once learned the concept.  When I saw it again, and saw the instructions, my ability once again returned.

One good comment posted was “how do you divide by 7?”  I answered that in my response to the original post.  Suppose we want to divide 7 into 3817:  I break 3817 into 3500 +280 +37.  If I divide 7 into each of the three dividends, I get 500 +40 +5 remainder 2, or 545 2/7.

The issue with Common Core, just like No Child Left Behind, from the “Education President,” is that American children as a whole are not doing well in math and other subjects, lagging behind the rest of the world. The rise of charter schools, the decline of public schools, the lack of funding for the latter, while we are building prisons and cutting taxes for upper income earners and businesses are all contributing factors.  The public also demands accountability.  That is fine.  The response has been to create various forms of testing to prove competence.  After all, at some point in the educational process, somebody needs to be proven competent.  How one proves such without testing I do not know; proof of knowledge has traditionally required showing one’s ability to do something, and I call that a test.  The fact a student may be nice, easy to talk to, gets along with others, gives hugs, or helps out at home or in the community is fine, but I want more from my mechanic, doctor or pilot.  I like hearing a friendly voice at Dutch Brothers.  I also want them to make change properly and serve drinks with safe water and safe ingredients.  I want my automobile properly engineered so it doesn’t break down and the seat belts and air bags work.  I want the dam up river to be constructed so it doesn’t break, which it did a while back, and lack of attention to prior broken parts caused the one of the sluices to be left open, because the motor at the time couldn’t be trusted.

We often don’t see the results of competence first hand, so we tend to disparage tests; we do, however, see the results of lack of competence.

Arizona had the AIMS test, testing English, math, and science.  The problem with AIMS was that not surprisingly, many students failed it.  If they failed it too often, they didn’t graduate.  A child’s not graduating from high school upset parents and others, because for years, children had been passed on up the line to graduation, leaving high school with the inability to do math, speak well, know geography, history, including American history, and ability to write properly.  But they graduated.  Eighty per cent failed the local community college’s math placement test.  I tutored for years in an affluent high school where students in the 10th-12th grade worked on simple arithmetic problems at the third grade level, all along being allowed to listen to music.  When I objected, stating music was a distraction, the students said they needed music to perform.  I then asked why they were in the class in the first place, since their performance to date hadn’t been acceptable.  The school allowed music to be listened to; I thought that a bad idea.  I often wonder what these students are doing now.

AIMS became watered down, so that as long as a student had a decent GPA, they could graduate without it.  Finally, AIMS disappeared altogether.  In its place, we have new national standards.  I am not saying I agree with what is on the test, and I don’t agree teachers should teach to the test.  They shouldn’t have to. Too often, math tests are written by those who want to show how clever they are.  I think we might well do better with at least two tiers of math, one for those who are likely to go to less intensive (regarding math) fields, and the other for those who are going to college and need a certain degree of math to continue.  Germany tests its students earlier in their educational career; it is clear that some should not go to college but belong in other careers, important to society, a better fit for the student, but without the math that is needed for higher level education.  I might require basic statistics, so that students would understand something about sampling, margin of error, mean-median difference, how to make and read a graph, and how to count things that matter.

Like it or not, people need to learn how to add, subtract, multiply and divide.  They absolutely need to memorize the multiplication tables, and eventually multiplication will become automatic.  They need to be able to use calculators but also understand when a calculator’s answer makes no sense.  Students must show knowledge of math for a given grade before they are promoted, the proof being one with which any reasonable adult would agree.  Some high school diplomas will not contain the same words as those for students who took four years of high school math.  Parents need to fish or cut bait.  If we want children to be properly educated for the 21st century, then we need to prove it.  It is distressing to see and hear both parents and teachers alike complain about Common Core unless they are developing alternatives.  I’m open to suggestions; I’m not open to continuing to pass students along to the next level, delaying the day of reckoning.

That day has long come.

OOPS, OCCUPIED!

May 3, 2015

A week ago, driving out of the Cascades near Santiam Junction, I stopped at a Forest Service Trailhead to use a restroom. Because the door was ajar, I started to open it.

“HEY!!!!”  I heard.

Had I been a better person, I would have apologized.  I think I did mutter “Sorry.”  But I took the coward’s way out.  The car was still running, I got into it and sped out of the parking lot to US 20 and hightailed it back out of the mountains.  I didn’t want the user to see me.

My wife laughed.  “Why didn’t he lock the door?”  “Or,” she continued, “why didn’t he just say ‘Occupied!!’”   Good question.  He should have been more embarrassed than I.

****************************************************

I went out to the community college today, since it was my day to tutor.  It had been a good week with no further “HEY’S”. I  did a difficult but worthwhile exploratory hike in the Cascades, where I hadn’t been before but was going to lead a hike there in a month.

When I got to the college, the parking lot looked empty.  I had a sense something was wrong, and sure enough, the doors were locked.  I returned to the car, googled the college’s calendar, and found there was a conference that day, so no school.  I was annoyed.  This sort of stuff happened when I volunteered in Tucson schools, too.  They would have a holiday and nobody told me.  I showed up and wasted my time.  I didn’t get much of an apology, either. It was so bad, I had to check each Friday to see if there were any days the following week where I wouldn’t be needed.

Sometimes, “I’m sorry” isn’t enough. In 2003, I interviewed for a teaching position in quality improvement with the American College of Physician Executives.  After not hearing from them for a month, I sent an e-mail, a letter, and phoned them.  I received no reply.  That’s uncalled for.  Yes, people are busy, but this is a 30 second e-mail (“we will not be hiring you” takes about 24 seconds.  I timed it).  I left the organization, and as I expected, they would notice. Money counts.  I received a call to ask why I hadn’t renewed my membership.  I told them why.  Within a minute, the Executive Vice President was talking to me.  I didn’t mention the name of the man who should have notified me.  I didn’t want to cause trouble for him.  It was a classy move on my part. I got a call a day later from the individual at fault, who said, “I guess I should be sorry.”  YOU GUESS?  I wasn’t demanding a job; I only wanted to know what the results of the interview were (which I had long since guessed).  That is not an apology.  You don’t guess with apologies.  That makes the situation worse.  You make an apology CLEAR.

I’ve done a lot of wrong in my life, so I have gotten a lot better at apologies.  For those who haven’t apologized much, the first rule is do it with empathy.  Mean it.  You would be amazed at how much that helps.  That means you must convey a sense that you really are sorry, even if you aren’t. That is step one.  Guys, take note of this, when you deal with women.

Yes, step one.  For there are two more steps.  Good apologies must be done right.

Second, say what you believe the consequences of your action caused.  Yes.  I apologized to my wife for something once, and I apologized for the wrong thing.  Yeah, really. What I thought I had done badly was not the issue, it was something else.  Wow, that’s being clueless.  I plead guilty.  But at least by saying what I thought I did wrong, I discovered my real error.  That mattered.

The third and final step is to say what you will do in the future to ensure, as best as you can, that the mistake does not occur again.  My mother once refused a CT head scan, and we were told the scan was normal.  Yes.  Really.  Five months later, when we took her for a “repeat” scan, we learned that she had never had one.  My father and I went to the CEO of a hospital to ask how this could happen.  All we heard was how many printouts of data the CEO had to deal with daily.  Think we cared?

Witness a good apology:  A psychiatrist reamed me out over the phone about an opinion I had given about a patient he was seeing.  “You didn’t spend enough time with the patient.”  I was speechless, and in that time of “less”, he hung up.  That was skunk anger, which is not good coming from a psychiatrist.  Important rule in medicine: never believe what a patient tells you another doctor said.  Come to think of it, it’s a good rule in life, too.

Two days later, the psychiatrist called me, apologized for his behavior, which he said must have stunned me.  “I have since spoken to a several other people about you, and they told me what a good doctor you are.  I am sorry I treated you that way.  I hope you will forgive me.”

Forgive?  Hell, it made my day.

Here’s how apologies should not be done:  A man from Comcast was to look at the house when we wanted to install wi-fi.  He gave me a window of time when he would show up, and he didn’t come.  I had his number, calling it periodically for 3 hours, getting voice mail and no responses.  It wasted my whole afternoon.  About 4:30, I got a call with a cheery, “How are you doing?”  I think most of us might say that we weren’t doing particularly well at the moment, and I told him that.  “Oh, sorry about that.  We had a sudden meeting I couldn’t miss.”

I’ve been in management.  People have meetings.  Sometimes, they are “right now” meetings.   But when the guy who installs my phone can’t get a message, doesn’t call me until three hours later, it doesn’t give me confidence in the telephone service.  What should he have done?  “I’m really sorry, but I’m going to be at least three hours late.  I have an urgent meeting, I didn’t know about it, and I will work late if you will allow me to come over at 5 tonight.  I know it is important for you.  Again, I am sorry.”

That works.  Instead, the next day, when he finally arrived, he mentioned how overloaded he was, with work, but the fact he had driven back from Boulder to Eugene after the Oregon-Colorado football game.  Do you think I cared?  Most people aren’t interested in a service provider’s using their vacation as an excuse.  A lot of people don’t get to take vacations.

I’ll go back out to the school on Tuesday.  They forgot.  It’s an honest mistake.  They are entitled to that.  They will apologize.  If they don’t, I won’t call them out on it.

But I will be disappointed in them.

OPTING OUT…OF MATH

April 27, 2015

Lately, there has been a lot of press, fanfare and pride in having one’s child opt out of testing for Common Core.  I am not a fan of standardized tests, but I took them every year in elementary and high school.  Perhaps the stakes weren’t high then, or maybe I did well enough on them so it didn’t matter.  My teachers didn’t teach to a test.  They taught material, and we were supposed to learn it.

I have taken more than one proud teacher to task for bragging about how many kids aren’t going to take the test.  “What,” I ask, “do you plan to put into place to know that a student is competent to advance to the next grade?”  At this point, I usually hear complaints about how teachers aren’t listened to, rather than specifics about how to make something better.  It’s easy to complain about something; it is a lot more difficult to put oneself on the line and offer something different.

At Lane Community College, where I am a volunteer math tutor, a recent editorial in the school newspaper suggested the school get rid of any math requirement, with the headline “Math-free degrees make sense.”  Some quotations:

  • “Many of those careers don’t require people with math skills.”
  • “For some college programs, not all, math is completely unnecessary.”
  • “However, for some students, any math is a hindrance to getting a degree.”
  • “When students have to subjects they are not suited to, rather than attending classes of…relevance…they become stressed and tired.”
  • “Granted, those going onto (sic) four year colleges would still have to study math.”
  • “What matters to employers is that job applicants have the necessary knowledge and skills to get the job done.”
  • “Choosing between a job candidate who had to study math…and one who didn’t…employers simply wouldn’t care.”
  • “These days (sic) technology handles all the math most people will ever need.”
  • “I’m not saying no to math in education altogether.  I’m saying it’s the responsibility of earlier education.   Remedial math should be the choice of the individual, not a community college mandate.”
  • “A more practical…alternative would be where students learn…how compound interest works, how monthly payments enslave people…”

My first reading of the article was that is was sarcasm, but I soon realized it was not.  The editor-in-chief of the paper has her picture present, and she looks like she is within a decade of my age.  I had a choice between a 250 word letter to the editor or a 600 word opinion piece.  I chose the latter.  I will expand upon it a little more.

It’s unfortunate that the Suze Orman Show is now gone, for Ms. Orman embodied the importance of math in finance and in life.  Those who sought help from her did not fully understand its importance, as the “Can I Afford It?” and “How am I Doing?” segments showed.  

My student who wanted to be a stockbroker couldn’t understand why he was learning logs, until I showed him how to determine the doubling time of money with 5 calculator strokes (72 divided by the interest rate in per cent is number of years), proving it in two lines (proof below).  He was amazed.  Another was thrilled to discover that by knowing the volume of a cylinder, he could determine cubic inch displacement of an engine.  I have never forgotten the look on his face, when he realized his knowledge.  Math is important, can easily be made relevant, and—yes—even fun.   Having my advisor in graduate school look at a proof of the first and second moments of a previously unknown hypergeometric function, say “Good job,” was one of my highlights of two difficult years away from home.

I grew up in an era where people did the same job their entire life.  The world is rapidly changing; multiple careers during one’s lifetime are now the norm.  At 66, I have had three.  We can’t imagine what jobs will be needed 10 years from now, let alone 50.  The winners in this new world will be those who can adapt; math is the single most valuable subject I know that increases one’s adaptability.  I taught adults in their 30s who discovered that they were wrong, when they thought in high school they knew their career path. Suddenly, they needed an MBA to advance in their company.   When faced with linear regression in a business model, knowing the slope of a line becomes relevant, as does probability, difference between a mean and a median, servicing debt, survey design, and measuring quality, to name only a few.  Without math, the glass ceiling becomes cement. 

I have heard students complain, like Ms. S., that they wouldn’t use math they were learning.  I could easily fill this paper with counterexamples, and my primary career was a neurologist.  I didn’t start my third career, statistics, until I was 49, and I had to review calculus taken 32 years earlier in order to get accepted.  Math, like learning music, chemistry, or Spanish, takes work and practice.  If Ms. S. thinks that math is stressful and makes people tired, I can assure her that I survived the stress and fatigue of reviewing calculus on my own and two years of graduate school, 300 miles commuting each way.  I didn’t remember calculus, but once I began to review it, I discovered something important: “If one learns a subject well, and doesn’t use it, he will forget it.  BUT, once he sees the subject again, it is relearned quickly.”

I have long thought we need a parallel educational pathway where math requirements vary for students.  I agree that a community college should not be a high school finishing institution, but until elementary and high schools teach students how to add and subtract, learn the multiplication tables, know when a calculator result doesn’t make sense, allowing remedial math to be the choice of a Lane student is saying math doesn’t matter at all, countering Ms. S.’s claim.  Offering math-free diplomas to increase graduation numbers is an astoundingly bad idea.  Our society needs proof of agreed-upon minimum math competence before a student  graduates from high school. Until then, Lane students must deal with the “stress” of learning math.  Life is tough. In the meantime, I hope Ms. S. understands that teaching compound interest to become financially literate requires algebra: Stating I=prt doesn’t allow one to understand continuous compounding any more than showing me middle C on a keyboard and thinking I can find D major.  For those who think math is worthless, I’m at Lane twice weekly by choice, to help students learn math.  To me, those 8 hours are almost a sacred calling.  Yes, sacred, not scared.

[A piece of wood was 40 cm long and cut into 3 pieces.  The lengths in cm are:

2x-5 

x+7

x+6   Add:

4x+8  = 40

4x=32

x=8; pieces are 11, 15, and 14.  Even if you didn’t know this, x+7 is larger than x+6.  One piece has to be at least 14 cm, so x has to be 7 or greater.  Put in some numbers.

What is the length of the longest piece?  15 cm.  7% of American 8th graders got it right; 53% of Singaporean.]

********************************************************************

Compound interest that can be taught for financial literacy (not difficult, but if you haven’t had algebra?):

Continuously compounded (the easiest):

P=Po exp^(rt) ; P= principal  Po=starting principal, exp= e (2.71828); r=rate, t=time. Don’t worry about e; ln takes it away just like division takes away multiplication, subtraction takes away addition.  Can you imagine doing that without knowing algebra?  Yes, e=[1+(1/n)]^n, as n gets large or ∑[1+(1/n!)] summing from 1 to infinity, but without algebra?

2P=Po e^rt; P=2Po, because money has doubled, (2Po/Po)=e^rt; ln2=rt

ln2/r= t; 0.693/r = t   69.3/r (%)  =t   round to 72/r=t, because 72 is divisible by many numbers.  That is 6 lines, but 8 small equations fit in 2 lines.

DEATH AND LIFE

April 24, 2015

A few nights ago, or in the morning, whatever one calls 2 a.m., a young man and woman, both in their 20s, died when their car struck a tree, right down the road from where we live, where the speed limit is 40, and the road curves, but easily taken at 40.  Today, there is a memorial on the sidewalk, tree, and a few people are present.  The news reported, “speed has not been ruled out as a factor.”

Like so many accidents, the final results of the investigation are either never published or are so hidden in the newspaper that one often never learns the cause.  When I walked back home from a hands on children’s museum last Sunday, after showing sunspots to kids and adults, I was in sight of the tree that would be struck. The two victims were then alive and vibrant, full of life, full of promise, four decades of life ahead before they reached my age.  Now they are corpses, a dreadful word, but the truth.

For the truth is dreadful.  They are dead.

Not only are they dead, there is a high likelihood they didn’t have to die.  Driving the speed limit in a modern car, wearing seat belts and with air bags, one is likely to leave the road only by being distracted or intoxicated, both of which may well have been factors.  The kinetic energy at 40 mph is 45% that at 60 mph, for kinetic energy of a moving object increases with the square of the velocity, and the extra 55% may be enough to convert an accident with injuries into one with fatalities. Being belted in and having airbags doesn’t prevent death from a crash, but it greatly decreases the probability.

Too many don’t understand this concept.  To them, one counterexample invalidates a whole theory.  “She did everything right and died from xxx, so it didn’t matter.”  That might have been said about the woman, 60, who died from ovarian cancer, or a 52 year-old colleague who died from an astrocytoma, a colleague’s wife who died at 49 from a ruptured aneurysm, or the obituary today of a 35 year-old, killed by a drunk driver.  “Everything right” that we know of often doesn’t work.  Sometimes, it is as simple and as awful as being in the wrong place at the wrong time, like being a 9 year-old girl at a Tucson Safeway on 8 January 2011.

Other times, it is just bad luck.  I never knew Mark Edelson, photo editor of the Palm Beach Times, named Newspaper Picture Editor of the Year nine times.  He recently died of lymphoma, only 64.  Reading that, I realized how lucky I am, how little I have to complain about, and how much more I must do with my life.

Doing everything right can greatly decrease death from lung, skin, cervical, colon, breast, hematopoietic, and other cancers, allowing people with these and other conditions to live far longer than they used to.  Acute lymphoblastic leukemia was a death sentence 40 years ago;  it is curable in 85% today.

Last week’s Stammtisch, a gathering of German speakers (or wannabes like me) was the only group in the pizza parlor.  For once, it was quiet, so I could understand people, which with my hearing is difficult enough in English, let alone in German.  I listened to a young man in his twenties, from the Portland area, living here, speaking German fluently.  He had studied it three years in high school, more it in college, and spent a year in country.  That’s how to learn a language.  Start young, study hard, and live in country for a year.

Peter, several years my senior, from Alsace, fluent in English, French, and German, sat next to me.  Peter served in the military in Europe, helping MPs get American soldiers out of trouble.  Speaking three key languages fluently allowed Peter to serve his country well.  He corrects my German gently.  Peter nudged me, nodded towards the young man, and said in German, “He has his whole life before him.”  I agreed.

“But I wouldn’t trade with him,” Peter quickly added.  I also agreed.  Yes, to be young, multilingual, good looking, healthy, with your adult life and the world before you, is great.

Unless you drive too fast at night, leave the road and hit a tree.  Or have really bad luck.

If possible, I would do over much in my life.  But I can’t change the past, only apologize, make amends, and then move forward, dealing with current circumstances.  I grew up in a wonderful time, being white, male, straight and middle class.  I had good parents, who taught me to be curious, to read, to love animals, and to treat the outdoors as a place to enjoy and to take care of.  We got dirty, bored, made up our own games, and enforced our rules.

I had pressure in school, but I never slept fewer than six or seven hours at night.  I read recently that some are taking a new stimulant allowing them to work longer in order to advance.  “Sleep is an option,” said one.  Wow.  I had summer jobs, and huge student loans were unknown.  I was a partner in a medical practice;  I now know highly qualified physicians who are looking for work, not even partner track, just work.  I never had that problem.

There were good times for the right people, but hardly idyllic.  “Negroes” were discriminated against, lynched, and we equated homosexuality with pedophilia.  Interracial marriages were illegal, and gay meant happy.  Smoking was considered cool, plane crashes were common, kids died from polio or measles, rape was considered a woman’s fault, wages for men were higher, “because he had a family,” doctors were God, and we dealt with cans in the wilderness by throwing them on the ground or sinking them in the lake.  The “good old days” were hardly that.  By the way, rape is still considered a woman’s fault in many places, gender wage equality isn’t, and racism is still prevalent.

I would not want to be in my 20s in this competitive world.  I am content with my age, hopefully wiser.  It is my world, too, one where I want to give back: volunteering tutoring math, learning a language or two, showing kids the night sky, leading hikes deep into the wilderness, seeing special places, volunteering at the crane migration every year, and living in my mid-60s.  No, the 60s are not problem-free.  Not at all.  Then again, in the obituaries virtually every day, I read about those who didn’t get to their 60s, 50s, 40s, or 30s.

Mark Edelson didn’t get to Medicare age.  What a loss.  When good people die, the rest of us have to make up for their loss.

Time for me to get back to work, and be glad I am alive to do so.