Posts Tagged ‘MATH AND MIKE’

METRIC FLUENT?

July 9, 2012

I happened to have the TV on, during the Tour de France, when I saw and ad for a $50 gold coin, which was going to be sold for $9.95.  The coin, which looked like the 1 ounce gold coin that the US Mint made, was clad in 14 mg gold.  “Clad” means to wear or to cover.  Fourteen milligrams of gold were used to cover the coin, so it looked like the real thing.

Looks mean a lot in today’s society.  We have to get rid of gray, have white teeth, be the right weight, have the right figure–in short, be debonair.  What is inside a person, which really gives them lasting beauty, does not appear to be to be nearly as important.

So, how much is 14 mg of gold worth?  If you are metric fluent, you know immediately this is a bad purchase.  I might call it a scam.  With a little work, you can determine how much of a scam it is.  Otherwise, you pay $9.95 for what you think is a real 1 ounce gold coin.  Don’t laugh; the company wouldn’t advertise if they didn’t think this was a good idea.  They will likely make a lot more money than I will this year.  After all, looks matter.

Let’s say gold is worth $2000 an ounce, an overestimate of course, but I want to give a clear overestimate of the coin’s value.  One of the problems with today’s math teaching is that many are so calculator dependent that they can’t estimate things.

How many grams in an ounce?  Oh, about 30.  The actual number is 28.35, give or take.  I’m writing this without looking up any numbers.  I know that a pint has 453.6 ml, and there are 16 ounces in a pint (which most students I teach don’ t know either, but hey, they look great in their miniskirts and low cut blouses and tight pants, right?)  Divide 16 into 480 and you get 30, so my estimate is not far off.  And divide 16 into 453.6 and you get 28.35.  Use a calculator if you wish.

Now, you have to get to milligrams, which means you multiply grams by 1000.  This is what makes the metric system so nice to use.  We don’t have 7/16 th of a meter in most calculations, but do any carpentry, and you find sixteenths of an inch all the time.  OK, 30 gm of gold is 30,000 mg, and that ounce is worth $2000, or 200,000 cents.  It helps to convert dollars to cents, but one does not have to.  One may disagree with my opinion,  but so far, this is not difficult math.  That works out to about 7 cents per milligram gold.  You don’t need a calculator and 8 decimal places.  You need the ability to make quick estimates.  If you want to be more exact, 200 divided by 28.35 is not far from 210 divided by 30, and the latter is 7.

Don’t laugh.  Last spring, I saw a math teacher write down the tangent of 67 degrees to 8 decimal places, when he only needed one.  Since the tangent of 60 degrees is sqrt 3, the tangent of 67 degrees ought to be at least 2 and likely a little more, but not 3.   I took a stab at it and was pretty close to the actual number.  Again, it is a matter of estimating, not looking up 8 decimal places.  I don’t expect many to know what the tangent of 60 degrees is, but I do expect high school math teachers to know, without a calculator.

Anyway, back to gold.  This coin has 14 mg or roughly $1 worth of gold in it.  The company is selling nickels with $1 of gold for $9.95.  I don’t know if shipping and handling is included).  How many people are going to buy this?  The guy selling the coin looked good, sounded earnest, and was absolutely sure you should do this.  Today, that counts for a lot.  All of us are subject to make bad purchases based on irrational approaches.  I sure am.

It’s just a question here whether paying more than 9 times as much for something than it is truly worth counts for you.

ARE WE FIGHTING A WAR ON SCIENCE?

May 24, 2012

I have become very discouraged lately.  We appear to be fighting a war on science even as we enjoy the tools and the improved health science has given us.  Without doubt, I would be dead if it were not for science.  I had strep throats when I was younger, and without penicillin, I likely would have had rheumatic fever and rheumatic heart disease, the surgical treatment of which back then was far less effective than it is today.  In 20 years of practice, I never once saw rheumatic fever.

We have a vaccine rate that in Arizona is scary.  About 85% of public school students are vaccinated; 50% in charter schools.  There are many who are convinced vaccines cause autism, because of the Thimerosal in the vaccine.  This has been disproven.  Indeed, some of the research stating such was shown to be fabricated.  A recent guest on Science Friday said she did not vaccinate her children, in part because they get a third more vaccines than people like me did.  Is this wrong?  If so, do we have good data and a good analysis of those data?

Let me talk about the past…60 years ago.  Back then, we had iron lungs for polio victims (my brother had polio), and kids didn’t spend summers in crowds, because we were convinced we would get polio, we were so scared.  Today, at a clinical pathological conference in the United States, asymmetric paralysis of a limb might well be misdiagnosed, for polio is so rare.  The Salk Vaccine trial was stopped early, because it was so effective.

We don’t need vaccines, some say, because these diseases are no longer present.  They are not present because we vaccinated against them.

“UCD”–usual childhood diseases–used to be on a patient’s chart.  What are the usual childhood diseases?  I had rubella.  When was the last time somebody saw a deaf child, because the mother had rubella during pregnancy?  My wife has a cousin, who lives with his mother as an adult, because his mother had rubella during pregnancy.  Today, if we vaccinate against rubella, we will never see this happen.  Rubella is a very mild disease, and it is possible not to know one is ill.  I had rubeola (measles), and I can still remember the dark room and the sickest I have ever been.  Measles kills 1 in a 1000 people and is extremely contagious.  It is now news when there is a small epidemic.  When I grew up, everybody had measles.

Varicella, or chickenpox, was a rite of passage, a time one had to stay home from school but felt perfectly fine.  Mumps caused orchitis, or testicular swelling.  When was the last time one saw a person who had mumps?  My other brother had mumps meningitis.

Hemophilus influenzae meningitis was a common disease in young children.  What happened to it?

Diphtheria killed thousands in my parents’ generation.  In 1972, Native Americans on the Crow Reservation were still getting it.  I know.  I was there.  When was the last time anybody heard of a case in the US?

Pertussis affected my mother.  This disease has lately come back, often in adults, and has caused deaths. That scares me, because this disease may be eliminated, as we have done with smallpox.  I have a smallpox vaccination scar; most Americans do not have one.  I saw one case of tetanus in my life….in Malaysia, when I was in the Navy.

Do we really want to take the chance these diseases will come back?  Maybe I am wrong, so I will make a prediction.  In Arizona, there will be a major epidemic of a preventable childhood disease in the next 10 years.

Science gave us safer automobiles.  We have a death rate from motor vehicle accidents half of what it was in 1980.  This is due to several factors, but seat belts and airbags have been the major ones, along with a push to decrease drunken driving, better highways, and better automotive design.

Science has given us better food safety, too.  We don’t see brucellosis from unpasteurized milk, although there are many who drink it and want the right to do so, as espoused by Ron Paul, during his campaign.  Prediction #2:  we will see at outbreak of brucellosis or milk-caused tuberculosis in the next 10 years.  I can be wrong, so I think it is only fair I make predictions….and hope I am wrong.

Science gave us better aviation safety.  When I grew up, airliner crashes were frequent.  We have often gone years without a major commercial aviation accident.  There are many factors:  Doppler radar, knowledge of windshear (change in wind direction with altitude), and the ability of pilots to safely report mistakes without retribution are among them.  Doctors would do well to learn from pilots; my medical safety reporting system was drawn up 11 years ago and went nowhere.  We don’t know how many people die from medical errors, but four members of my small family have suffered from their consequences.  The crash on Mt. Weather in the 1970s occurred, because pilots did not realize where the summit was on the approach to Washington, D.C.  Six weeks earlier, pilots on another airline noted that the summit was a potential danger point.  Because there was no safe way to report that fact, nearly 100 people died.  That issue is no longer present–in aviation.

Science has given us the ability to look up things we want to know about.  I remember encyclopedia salesmen and still have Bartlett’s book of quotations.  Why do I need it?  If I want to know something, I go to the Internet.  The problem with the Internet is that one can find any counterargument to any topic, because there is no peer review.  All technology has a downside.

Science has given us evolutionary theory, which has been politicized (court cases as to whether it should be taught in school would to me qualify as politicized), which over time has better–not worse–explained how we arrived on the Earth.  Our DNA is nearly 99% in common with some primates, and yet we still have a large number of people who disagree that we evolved.  For the record, we did not descend from monkeys; we descended, the evidence shows, which to me appears sound, from a common ancestor to both of us, that no longer exists.

The vast majority of climate scientists have concluded, with high confidence, that man has caused climate change and warming of the Earth, both terms must be used.  Instead of a fair discussion of the data, this issue has become one of the most polarizing topics I can think of, and it is sad.  I wrote a column on the subject for the Medical Society, when I was an invited writer, and I got absolutely hammered in the letters column.  I did my best to argue from facts, and try not to get caught up in the personalization of the arguments, which is so easy to do.

Here are some of the facts that I have looked at that helped me make my decision.

The Earth is clearly warming, we know that from long term trend analysis and we know that from the fact that nearly all (there are exceptions) glaciers are retreating, and the ocean is rising 3.2 mm a year (from satellite measurements, which is astounding that we can do that).  A recent downturn was explained by flooding in Australia and Amazonia.  The Earth goes through cycles of warming and cooling, so there have been questions raised as to whether this is cyclical.

Carbon dioxide levels have risen since the Industrial Revolution.  We know this from ice core analysis, and we are dealing with CO2 levels that have never been this high in the history of mankind.  In addition, the oceans are acidifying at a rate not seen in the past several million years.  The oceans are buffering CO2, but nobody knows for how long they will do so, or what the current 30% increase in hydrogen ion concentration will do to shellfish, coral, and a million other species in the ocean.  CO2 is a potent greenhouse gas, although water vapor is more common, and it would seem reasonable to think that this is the cause.

Correlation is not always causation, but it can be.  Tobacco correlated highly with lung cancer, and this was enough to remove advertising from TV (yes, that once occurred).  When carcinogens were discovered in tobacco smoke, then the correlation became causal.  The high correlation of [CO2] with global temperature rise to me is strong evidence, given that CO2 is a greenhouse gas.

Around the world, people are seeing climate changes they have never before have  seen, especially in the high latitudes and high altitudes, where the changes are much greater.  If the permafrost melts, methane, an extremely potent greenhouse gas, will  become a factor.

Is this a certainty?  No.  But there is high confidence such is occurring.  Do we assume it is wrong?  We have to balance the risks of changing our lifestyles with the risk that climate change is truly occurring.  If we are wrong on the front end, we have spent money we didn’t need to spend to change how we get our energy.  On the other hand, an oil or coal driven economy cannot continue indefinitely.

If we are wrong on the other end, we have changed the planet, perhaps irrevocably.  I think Americans who argue climate change should use Fahrenheit and not Celsius, so as to honestly keep the numbers fair.  Celsius is 55% of Fahrenheit, and 3 C. does not sound as bad as 5.4 F.  Warming of 1.4 F. of the Earth, which has occurred in the past 130 years, is not insignificant.  A month 1.4 F. warmer than normal is quite noticeable to people.  A month 6 F. warmer is a record.

What I do not understand is why Americans, almost alone in the world, have such low percentages of belief that climate change/global warming is occurring.  Only 12% are “alarmists,” to quote a poll, and roughly the same number are at the opposite end.  Most of the middle is concerned, but think we have a lot of time.  Interestingly, about 90% of  Europeans believe in global climate change.  Are we smarter?  Educational results wouldn’t seem to agree.  Is it because we live in a temperate climate, where we don’t see the changes, and many Europeans live at a Canadian latitude?  Why has this issue become politicized?  I simply don’t know, but on Facebook and among people I am around,  the issue is incredibly polarizing.

In part, I wonder whether it is because science education has become poorer in this country.  More people believe in astrology, which has been soundly shown not to be the true, then know why we have seasons.  My late father edited two high school science books 60 years ago, and his explanation of seasons is still the best I have ever seen.  Many of us cannot find Polaris, although uneducated slaves on the Underground Railroad knew it well, as they fled north 150 years ago.  Only a minority know what a year represents.  Many do not know how to compute the doubling time of money (72/interest rate), feet per second a car goes at 60 mph (88), number of feet in a mile (5280), or the weight of water (8.3 pounds per gallon), the latter of which perhaps explaining why so many people get in trouble, when they try to cross running water in an automobile.  All of the above have everyday applications.  Science works, and its predictions in many instances may be verified.  Perhaps that is why there is so much resentment of science; it predicts things–bad things–accurately.  Carl Sagan called science a “candle in the darkness,” a statement I particularly like.

I was asked to debate this issue in the medical society and declined to debate. Doctors would do well to debate how we are going to improve health care access and quality, not climate science.  Yet many of my colleagues do not believe in evolution, which I have to admit I find astounding, given the evidence.  Then again, many believed surgery on asymptomatic carotid artery stenosis was beneficial, even when the data overwhelmingly showed it was harmful where I practiced.  I was unable to change something where we had clear, easy to understandable data; I don’t expect I am going to change something where the data are less understandable.

Lately, the hot button issue has been calling the issue climate change and not global warming.  That puzzles me.  Climate change occurs when our cities absorb so much heat that the nighttime temperatures rise and rainfall patterns change.  Climate change occurs when dust from Chinese coal plants lands in the Rockies, and the absorption of sunlight causes an early melting of snow and a change in runoff.  Climate change has occurred when 3/5 ths of the bird species in the Christmas Bird Count have the center of their range at least 160 km (100 miles) further north.   Climate change occurs when there are major changes in rainfall patterns.  Climate change occurs when a long standing lake in Gates of the Arctic National Park can no longer be used as a landing strip, because it is too shallow, from melting of the permafrost.  Many, many Alaskans are well aware of climate change.

The fact that nearly every climate scientist believes we are changing the climate does not, of course, mean they are right.  Science moves in fits and starts and is not based on what the majority believe.  It would appear, however, that the science behind the discussion is, if anything, under-predicting the severity of the issue.  A recent article I reviewed on Facebook used regression to show the Earth had cooled since 2002.  The regression line was not significantly different from zero, and the assumptions underlying the regression were not met.  That alone did not disprove climate change, of course, but all data used have to be subject to scrutiny by both sides, and poor data needs to be removed from the discussion.

Could my mind be changed?  Yes.  If my own city had 2 years in a row with normal temperatures–even 1 degree above normal would be acceptable–I might rethink my position.  If the Arctic Ice Cap increases in size every year for the next decade, the global temperature falls every year for the next decade, and the ocean rise stops, I would rethink my position.  I would have to.

The questions I do have are these:

Can you argue your position without personalizing it?  This is extremely difficult, but the subject is climate, not Al Gore, cap and trade, big government, conspiracy theorists or environmentalists.  It is about science.  I don’t think it is fair to state the numbers of scientists who believe there is no climate change when the vast majority do believe.  But again, science is not about majority rule; it is about facts and interpretation of facts.

Can you offer statistical evidence that shows confidence intervals that include zero (no change) or fail to include zero (a change), a p-value >0.05 (or any other value you think is worthwhile).

Can you state what it would take for you to change your mind, so that you are offering predictions as to what is going to happen to the climate?  This way, we can test your predictions versus other predictions.  If nothing will change your mind, then it is senseless to discuss the subject.

Can you state fairly what will happen to the Earth should you be wrong?  If you reply you cannot be wrong, then you are saying you can predict completely accurately the future of a complex system that we do not completely understand.  Nobody I know can do that.

It is high time we approached this issue sensibly, using the science that brought us vaccines that saved my life, transportation and food safety that keep us alive, moving and comfortable, and technology that makes our lives so much easier.  Science was at its best with Hurricane Irene last year.  With time, the models were revised and revised, so that the predictions were better and better.  If instead, we choose a path that Governor Rick Perry chose with Hurricane Rita, to pray that it stop and turn around, we are going to kill a lot of people.  We can choose to have an honest look at the science behind global climate, and look at the models, or we can choose a path that Congress did, passing a resolution, which denied climate change.  Resolutions don’t affect the climate; many factors do affect it, and we know many of them.  Right now, most scientists believe the factors are significant.  If they are wrong, we should know fairly soon.  The problem is that if they are right, then by the time there is convincing evidence for every person, it is going to be too late.  I guess that puts me in the “alarmist” camp, and I really want to be  in the “I was wrong” camp, hearing, rather than saying, “I told you so.”

MANY CHILDREN LEFT BEHIND, ONE TEACHER, TOO

October 26, 2011

 When I was 18, I guided four canoe trips into the wilderness of Ontario’s Algonquin Park.  I was in charge of several other teenagers for six days, navigating, choosing the campsite, cooking and first aid, 1-2 days travel from the nearest adult.  When the campers swam, I counted heads.  At night, anybody’s crying out made me wake up.  When a camper couldn’t carry his pack, I carried it and the canoe together–140 pounds–a half mile along the slippery shore of the Tim River.  I guided four times that summer, amazed I was given such responsibility at 18.

When I was 61, with far more real-world experience, I was not allowed to teach full-time with the nearest other adult a few yards away.  For 9 years, I was an active volunteer in math at two local high schools.  At least 20 times, I taught when a substitute did not know the material.  I wanted to be busier, and I saw a huge need.   I finally gave up, because I was not busy enough.

My father was a public school teacher, principal and superintendent.  I believe in public education; with liberty and the National Park Service, it is one of the three greatest gifts America has given the world.  If public education fails, and many hope it will, we will destroy the middle class and America.  There are 60 million school age children in this country.  I am open to other solutions, but for profit charter schools in the new pay as you go America do not seem to be workable.

Perhaps it is hopeless, and many of these children will be uneducated, given up on, not voting, and subject to the sharks and those who will take advantage of their money, and talk radio hosts, who will sway their opinions with outright lies.

In elementary school, I wrote a paper about Horace Mann.  His six principles are still valid today:

  1. The public should no longer remain ignorant.
  2. Such education should be paid for, controlled, and sustained by an interested public.
  3. This education will be best provided in schools that embrace children from a variety of backgrounds.
  4. That this education must be non-sectarian.
  5. That this education must be taught by the spirit, methods, and discipline of a free society.
  6. That education should be provided by well-trained, professional teachers.

I now have a substitute certificate.  But I wanted to create a statistics course at a high school that didn’t have one.  I have a Master’s in statistics; I taught it for many semesters as a graduate student at New Mexico State, Pima Community College and other venues.  For four years, I graded the free response portion of the Advanced Placement Statistics exam; only 3 of 400 graders were from Arizona, which in itself is a statement about how well we are doing.  I know how to develop a statistics syllabus, how to prepare lessons, teach and grade it.  I would have done it for free, too, because I could afford it, and I felt so strongly about the need.

Unfortunately, I was not allowed, because of No Child Left Behind (NCLB), even as children are being left behind in droves.  I encountered them every day I tutored.  I didn’t see the many others who needed help and didn’t get it, the ones who need to be pushed, or those who drop out.  With many teachers also dropping out physically or mentally, we have a major problem. With appallingly inadequate funding, many schools nationwide disenroll problem students, gaming the system to survive.  Our per capita funding is $2500 below the national average.  I told that to a friend, who said, “You can’t fix education with money.”  I replied, “You can’t fix defense with money, either.”  He was silent.

NCLB is like Clear Skies, Healthy Forests and Clean Coal:  all have titles that are purposely the opposite of their intent.  NCLB’s intent was to close schools and have more for profit charter schools,

As a neurologist, I saw many practicing in my field, who could do everything I did without my 9 years of post college training and military service.  But I couldn’t teach full-time unless I obtained 22 credit hours.  I went back to school when I was 50, ending up as a non-paid de facto volunteer in Tucson’s medical community.  I choose to volunteer in the schools, but I will not pay to get more education at age 60.  In emergencies, substitutes can be hired long term, making the rule inane.  Frankly, I consider the current situation an emergency. The America I served once used innovative approaches to solve problems.

Public education–an American invention– is in trouble.  We funded the poorly conceived Iraq war with an off budget emergency authorization.  Public education needs an emergency funding authorization, too, and thousands of volunteers.  Schools need to open their doors to volunteers, and both schools and public libraries need places for tutoring during lunch, evenings and weekends.  Parents need to be involved.  We need money, too, but with a concerted national effort, the money wouldn’t be an outrageous sum.  I don’t want to hear “children are our future,” until we start trying to achieve the six principles articulated by Horace Mann, whose credentials to lead reform were also questioned, 175 years ago.

MIND TRICKS

June 10, 2010

How many people do you need in a room before any two are more likely than not to have the same birthday?

Twenty-three.

I’m sure there are those who disbelieve, saying “I know that can’t be right.”  What is disturbing is that even when a simple proof is delivered, many continue not to believe it.  Our minds can play tricks on us.  That’s normal.  But in the face of a compelling proof, failure to accept the premise borders on stupid.  The proof, by the way, looks at the probability that two people don’t have the same birthday.  Sometimes, looking at what you don’t want makes it easier to find what you do want.  Here’s the proof:

Number of People              Probability 2 have same birthday           Probability 2 don’t

1                                                   0.000                                                          1.000

2                                                   0.003                                                          0.997

3                                                   0.008                                                          0.992

5                                                   0.027                                                          0.973

10                                                 0.117                                                           0.883

15                                                 0.253                                                           0.747

20                                                0.411                                                             0.589

21                                                 0.444                                                           0.556

22                                                 0.476                                                           0.524

23                                                 0.507                                                           0.493

25                                                 0.569                                                            0.431

30                                                 0.706                                                           0.294

35                                                 0.814                                                            0.186

A disease has a prevalence of 1 in 200 (0.5%), a sensitivity and specificity each of 99%, meaning if you have the disease you test positive 98% of the time and if you don’t you test negative 99% of the time.  Not knowing if you have the disease, you test positive.  What is the probability you will have the disease?   The issue here is that having the disease and testing positive is very different from testing positive and wondering if one has the disease.  If the disease is rare, the likelihood of a positive test’s being a false positive is significant.  Here’s why, using 10,000 people and the above percentates:

Test + Test – Total
Disease Positive 49 1 50
Disease Negative 99 9851 9950
Total 148 9852 10000

If you test positive (148), a third of the time (49) you will have the disease.  The others are false positives.  That’s why we don’t do routine HIV blood tests for marriage.  In a randomly selected individual, and that is important, a positive test for something rare has a significant likelihood of being a false positive.

Many mountaineers defend the safety of their sport by saying one can get killed in a car accident.  That’s true.  But nearly all of us drive and a lot.  We all know someone who died in a motor vehicle accident, but relative to the denominator, it is small, 1 in about 5000 to 6000 Americans this year.  Mountaineering is a small community, and number of climbs is an incredibly small fraction of number of auto trips.  Every serious mountaineer has lost several friends to the mountains.  Mountaineering is much more dangerous.  I love reading about it, and I admire those who do it, but it is high risk.

The lottery is a tax on those who don’t understand probability.  The chances of winning the Powerball jackpot are approximately those of randomly picking a minute chosen since the Declaration of Independence was signed, 1 to 110 million.  Yet people continue to tax themselves because “if you don’t play, you can’t win.”  You have far more likelihood of being struck by lightning or dying in a motor vehicle accident than you do winning the lottery.

Too many Americans play another lottery, the I’m sick do I see a doctor? lottery:  I have abdominal pain, and I don’t have insurance.  I can’t afford to see a doctor, so I will bet it goes away.  But it doesn’t; instead, the pain worsens, and I now can’t walk.  I have to call an ambulance, go to an emergency department and am admitted with a ruptured appendix.  The costs have increased and are well in five figures.  I’m bankrupted by the illness, few who are involved in the care get paid, and my productivity is zero for a long time.  I’ll probably never get out of debt.  If I get sick again, I’ll bet again it goes away.  I will have no other choice.

Well, you say, that is just a bad example.  Here’s another:  I have abdominal pain and go to urgent care, because I don’t have a family doctor or it takes weeks to get in.  The workup costs $2000.  I can’t pay it except in $20 increments.  That was my Literacy Volunteer student’s experience.   How many Americans say some morning “I  have a toothache, I can’t afford to take off work.”  They are miserable, and their productivity isn’t very good.  Maybe it will go away, or maybe they will need a root canal, which hurts like hell, because there is already a problem.  That’s about $1200, so they are more in debt.  Sure, they say. if I had the money for dental care, I might have been able to avoid this.  Instead,  I’m betting that my body’s natural healing ability will bail me out.  Maybe it will.  Or maybe it won’t.

We were once the richest country in the world.  Our annual medical costs are far more than a trillion dollars.  A trillion, by the way, is roughly the number of days since the Earth formed.  How many these costs could have been avoided by timely prevention?  How many could have been avoided by universal coverage?  I don’t know.  But I do know that our poor system makes it impossible for at least a sixth of Americans to get decent, timely care and not get bankrupted by it.  This is America, not Zimbabwe, India or Tajikistan.  If you don’t like my solution, you fix it.  And not by going back to the 20th or 19th century, since going backwards never works.  Here are my metrics:  your fix has to show an increase in productivity, a decrease in emergency department overcrowding, a decrease in bankruptcies that are primarily due to medical reasons and a decrease in late diagnosis of disorders like appendicitis, that should all be picked up early–in America, again, not Tajikistan.

If that requires I pay more taxes, I’ll pay them.  I’d rather pay taxes for education and health care than for fighting, and not building schools in Iraq and Afghanistan, which is the fundamental solution to terrorism, not nuking Muslims and letting Allah sort it out.  We stop foreign aid to countries who despise us and bailouts to car makers who built monstrous SUVs, when it was obvious decades ago we needed to retool.

Do I like government as a single payer?  No.  But again, if you disagree, you fix it.  I don’t want reading assignments.  I’m a patient, and I’m tired of waiting weeks to see a physician (I thought only Canadians waited), worrying about medical errors that have affected me and three family members and really tired of the bickering that has stalled any kind of reform.  It is disgusting – and is un-American.

The America I served used to have innovative solutions to tough problems.  Where is that country?

A DAY IN A TEACHER’S SHOES

December 3, 2009

After 7 years as a volunteer math tutor at a local high school, I was allowed to be an on-call volunteer math teacher, meaning I teach with a certified substitute present.  I address the occasional problem when a teacher is absent and a fully qualified math substitute is unavailable.  On my first day, I was given a lesson plan for algebraic inequalities and prepared one for geometry.  While I don’t find these subjects difficult, understanding a subject is far different from teaching it. 

I arrived at 7 a.m. with water bottle, lunch and objects needed to explain the material, for good teachers don’t parrot the textbook.  The official substitute took attendance, introduced me and I began teaching.  Fortunately, I had no problems with student behavior, because the teacher for whom I substituted is an exceedingly good disciplinarian, knowing when and how to act with words, inflection and body language.  My experience could easily have been worse. 

What’s it like to teach for a day?  I was on my feet nearly continuously for 7 hours.  I needed a bathroom break at 10:30, but preparing for the class before lunch took priority, and I nearly sprinted to the men’s room an hour later.  Other than a few swallows of water, I ate nothing until I finished at 2:20.  I left at 3:45 and wasn’t the last teacher leaving.  That evening, I relaxed, not having to grade homework or prepare the next day’s lesson. 

My parents were both hard-working teachers, and I frequently heard, “You can’t eat dedication.”  I’ve taught exactly one day and didn’t deal with problem students, parental e-mails, after school tutoring, worth $40/hr, but freely offered by many teachers or faculty meetings.  I’m 61 and want to teach math.  I can afford to; many of our best and brightest teachers, with whom I’ve had the honor and pleasure to be associated, struggle to pay their student loans.  Summers off?  Many teach summer school out of necessity. 

A properly educated populace won’t solve all our problems.  But it is a necessary condition if we ever hope to address them sensibly.  Arizona ranks last in per capita spending for what is arguably the highest yield and lowest risk investment of all – education.  Nationally, we invest far more in low yield/high risk unwinnable wars and impossible nation building.  Those whose high risk complex financial instruments devastated our economy receive annual bonuses greater than a teacher’s lifetime earnings.  Important, difficult jobs requiring significant training and long hours deserve appropriate compensation, which is how we attract and keep good people.  As a former neurologist, I was paid well for my training, work and hours.  Teachers are not paid commensurate with their extensive training, hours and immense responsibility preparing the next generation.  Teaching math, or any other subject, to 35 teenagers who’d rather be elsewhere is difficult:  doubters should try it – assuming they have the skills to do so.  Increased funding for teachers and education is one of the best investments Arizona and America can make.  Our future depends upon it. 

Michael Smith, retired physician and statistician, has been a grader for the AP Statistics examination.