The Numbers

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I’ve spent my life teaching young people about numbers. I enjoy demystifying mathematical processes and watching my students grow in confidence when faced with numerical challenges. I don’t believe that there are really individuals who are bad at math. I think instead that some folks just never encountered the right person to help them find an understanding of the logic and processes of math that underpin the workings of nature and the modern world.

Of late we’ve been bombarded with charts and graphs and statistical data of all sorts regarding Covid-19. We hear discussions regarding death rates of the virus and comparisons of this disease with others. It can become confusing and even a bit overwhelming but a few strokes on a calculator reveal some rather interesting information about the effect of the pandemic on our country.

Last week, using the latest information from the Johns Hopkins Covid-19 site along with a few references from Google I decided to do a bit of investigating of my own. I began by determining what percent of the world’s population resides in the United States. There are approximately 7,994,000,000 humans living across the globe. Of those about 382,200,000 are in the United States of America. A little bit of division showed me that our nation is home to about 5% of the people on this earth.

Next I noted that there have been 4,400,688 recorded cases of Covid-19 throughout the world. Of those 1,400,500 have been here in the USA. Another quick bit of division revealed that we have about 32% of the known cases of the virus. I was confounded by the fact that a nation with only 5% of the total population would have almost a third of the cases but I suspect that there are any number of logical explanations for that astounding number. We tend to be a rather mobile population that travels to all parts of the world and is continually on the move within our states and cities. Additionally we have a very modern medical system and in spite of its problems it is generally known for its capability to quickly and accurately diagnose disease. Nonetheless our rate of infection compared to the rest of the world is abnormally high and yet we still have people who are underplaying the effect of Covid-19 on our population.

Perhaps it is because the general story making the rounds is that this novel coronavirus is not any more deadly than the seasonal flu. With that in mind I ran the numbers and found that if I divided the number of US deaths from the virus (84,985) by the number of cases (1,400,500) I got a stunning 6% mortality rate. That is a number far larger than the under one percent figure that many claim is the average fatality rate for this virus. Furthermore the figures that I am using have been recorded in only two or three months as compared with an entire year of flu. We have now lost more citizens to Covid-19 since the beginning of 2020 than we did in all of the Vietnam War. Our percent of deaths does not fare too well when compared with the rest of the world either. In fact our figures represent 28% of all deaths from Covid-19 so far.

I find my calculations to be interesting because they appear to put a lie to a number of claims by individuals and groups who seem to think that what our country is enduring is little more than a grand hoax designed to make our president look bad in an election year. Somehow the numbers tell me that the truth of the matter is that the danger is very real and for some reason our country is not faring as well as we might hope. To believe that anybody would be capable of creating a deception so complexly horrific is incomprehensible.

The numbers regarding the destruction of our economy are just as appalling and maybe even more so, but the fact is that if we don’t very carefully consider the consequences of both dealing with the virus and keeping our country working we will surely face an even bleaker future. We indeed must be willing to talk about the facts without cover up or  recriminations The only undeniable truth in all of this is that we will have to work together, not just with each other here in this country but with our fellow humans across the globe.

Every nation is wounded and hurting. This is hardly the time to boast about our own country’s accomplishments or to isolate ourselves from the great thinking and solutions that are occurring in different corners of the globe. Our battle to save our country and our world is not a matter of who is best or first. Our leaders will have to make difficult decisions that should be based on what is right for the common good rather than what may garner votes in the coming election. All of us must be willing to sacrifice and endure privations and changes for which we are not accustomed. In the end it will not matter who was wrong or who was right in predicting the future, but what will be of paramount importance is how well and willing we are to respond to any new emergencies that arise.

People tell me that they are weary of talk of Covid-19. They want to go back to work, to shopping, to eating out, to going to church, to having parties. They want the coming school year to be business as usual and they look forward to a fall that includes football games and Halloween celebrations. They hope to soon have all of the broken pieces of our lives neatly put back together so that we can bid adieu to all of the suffering and chaos. It’s a dream that we all harbor and with God’s grace Covid-19 will leave us as mysteriously as it came into our midst. Unfortunately based on the numbers it is doubtful that things will be quite that easy.

We Can’t Keep Looking Away

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I have a grandson who is a runner. Seeing him gracefully striding around a track is a thing of beauty, the ultimate vision of human endurance and grace. He has a particular racing style that reminds me of a gazelle and I never tire of watching him in action.

This would have been a record breaking year for him but sadly after only a few track meets the season ended when schools were closed due to the virus. He has continued to run each day nonetheless. Those moments when he is able to feel the wind on his face and achieve a feeling of being totally in sync with the world have been good for him. They allow him to forget about the troubles we are facing if only for a few minutes each day.

I thought of my grandson when I first heard of the killing of Ahmaud Arbery in Georgia by two men claiming to have taken him down under suspicion of being a thief on the run. When I eventually saw the video of Ahmaud in his last moments I was stunned. I saw his jogger’s stride before he encountered his attackers. This was not the furtive motion of someone evading capture. It was most certainly the pace of a seasoned runner who was pursuing a most innocent pastime. He must have been terrified as he realized what was happening and he struggled unsuccessfully to get away from the danger. Watching the film is exceedingly difficult and heart wrenching but we cannot look away from it because it holds a truth that we must face.

Of course there is a difference between my grandson and Ahmaud that is striking. Ahmaud was a black man while my grandson has blonde hair and blue eyes. Ahmaud had a lovely smile that lit up his face, but those vigilantes who became judge, jury and executioner without even a consideration of evidence would never have seen his sweetness. The color of his skin and the fact that he was running was all they needed to know.

Sadly they got away with their crime for a time. Law enforcement accepted their story and seemingly decided the case was closed. Ahmaud might have been just another casualty of racism, the victim of a lynching, had not his mother continued to question the circumstances surrounding her son’s death. Eventually videos of the scene that had been filmed by passersby emerged providing an unavoidable clarity for determining what had actually happened. Over seventy days later the two men were arrested.

My daughter says that she does not worry when my grandson runs in the neighborhood. He is a good boy and almost everyone knows him, but she understands that if she and he were black she would be terrified each time that he set out from home with his track shoes. We still have far too many in our country who seem to believe that color, not character defines people. They are suspicious of anyone who does not fit the stereotypes of their minds and sadly too many among us excuse their flawed thinking. It is easier to look away when people spew their hate and sometimes even our leaders attempt to cover the ugliness of such actions by insisting that those who spread their foul beliefs are really just good people who are frustrated or feeling left out.

As humans we often feel so uncomfortable confronting truth. When athletes kneel during the National Anthem to shed light on the racism that still exists we tend to ignore or insult them. On the whole we are unwilling to admit that there is a double standard that lurks beneath the veneer of our society. Groups among us will become enraged when a white hairdresser is jailed for flaunting restrictions during our pandemic, but they can’t see the reasoning behind the Black Lives Matter movement. If groups of minorities protest it is often called a riot but if gun toting white men scream in the faces of state troopers because they do not want to be restricted by pandemic rules even our president applauds them for fighting against tyranny. Then those same folds scratch their heads in wonder when any minority feels beset upon.

I’ve been having a difficult time maintaining my usual optimism for the past couple of weeks. I am witnessing a level of anger and ugliness that I have not seen since my high school and college days when we were engaged in a struggle to end segregation and a war in Vietnam that had gone so very wrong. It was a frightening time during which the curtain that had been hiding the rot that festered in our nation was drawn wide open. A schism rocked the country and we all found ourselves either choosing sides or averting our glances and joining the silent majority. When the dust finally settled we were eager to just go back to a more normal state, but far too much had simply been swept under the rug where it has been sitting ever since becoming foul. Somehow our nation’s biggest mistakes have never been properly faced and rectified. We are still too afraid to admit that while we have freed the people whose ancestors were wrongfully enslaved and even given them the rights that we take for granted they are still struggling to be free from judgement and persecution. We have yet to adequately call out the racism that exists in corners of our society and because of that it only tends to grow.

I realize that we will never be able to eradicate hatred. It is been a part of the human experience since Cain killed Abel. All across the globe one group fights with another. What we can do is call out those who flaunt their racism in the public square. We must insist that our leaders deride any person or group who discriminates and foments violence against a particular group. We have to quit categorizing individuals based on the characteristics of color or ethnicity or sexual preference or religion and we need to voice our disdain for those who do.

Our future in the coming weeks and months is uncertain but while we are rebuilding our economy we would do well to consider insisting that our leaders understand that we have grown weary of accepting a status quo that still allows stereotyping. We need to finally speak up. Looking away is no longer an option.

Live Laugh Love

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For well over five weeks now I have gone nowhere other than Methodist Hospital on the day of my husband’s surgery and Paragon Infusion Center for my injection of Prolia. My days are contained inside the rooms of my home and in the glory of my backyard. I watch the people in my neighborhood from my windows and smile when I hear their laughter. I teach lessons to eight young people from an upstairs bedroom with my computer and my phone depending on what resources they have for distance learning. I try to keep in touch with family and friends and news of the world. It might actually be a rather pleasant time for me were it not for the images of human suffering that I see from all over the world. I am seemingly untouched by Covid-19 in terms of my own physical well being but my heart is heavy with thoughts of those less fortunate.

I am comforted by the overwhelming kindness that I both observe and experience. For the most part the pandemic has brought out the best in people. The good is doing its best to overwhelm the bad. Sure we have incidents of hoarding, price gouging, selfishness but those are the outliers. The more usual response of people all over the world has been to help even when it endangers their own lives. Amazingly there are courageous individuals running into the maelstrom rather than away from it because they want to assist in saving lives. The heroes outnumber the villains exponentially with each person doing whatever he or she can to get us through this nightmare.

In many ways we have been stripped down to the essentials of living. Sure we are watching our televisions and ordering grocery deliveries to our front door, but there is an uncharacteristic quietness and slower pace all around us that allows us to discover more clearly what is most important about our lives. We see that everything that we need is found in our relationships with one another, not in our possessions.

I have become more acutely aware of my own good fortune. The environment in which I await the end of this trial is safe and inviting. If I had to stay here for an indeterminate time I could be quite content. Still, I note that for some the forced isolation is far from pleasant. I am certain that there souls struggling in environments that are unsafe, abusive, lacking in the basic necessities. I pray that the people in such situations will make through this ordeal as unscathed as possible. I pray that someone is looking out for their welfare just as my husband and I check on my aging father-in-law or communicate with our children and grandchildren. I’d like to think that everyone has someone on whom to lean, perhaps a caring teacher or a friend. 

I have not been particularly kind in my assessment of the political leaders of my country and my state during this outbreak. My criticisms have been sometimes brutal but of late I have come to the conclusion that engaging in commentaries about their failures is of no use in the present moment. This is not the time to be concerned with such things because what’s done is done. We have to deal with the situation as it is in the moment, not as we would have liked it to be. There will be plenty of time to analyze the mistakes and determine better plans for the future after the battle over the virus has been won. For now I choose to pray that everyone in charge will be guided by wisdom. I pray that the leaders of the world will understand the need to work together. We have to keep our eyes trained on the real enemy which is Covid-19.

This pandemic is the great equalizer. It knows no geographical boundaries or political philosophies. It does not differentiate between one race or another, religious believers or non-believers. It sees only our humanity stripped down to its most basic form. All of our titles and accomplishments and riches mean nothing to it. We are simply humans whose bodies are places for the virus to find a home. If only we might remember that when the danger finally passes. If only we will celebrate our common bonds that supersede the trivialities of difference that seem to create our problems. Life is what we must cherish and elevate because now we should see that when our backs are against the wall it is all that really matters.

We humans are a resilient lot. we have a way of overcoming challenges again and again. It is a time of uncertainty but the one thing of which we might all be sure is that in the end our ingenuity and common decency will prevail. It has before and it will in this instance. That is the thought that should be sustaining us until we are once again able to throw open our doors and invite the people we love back inside our homes. In the meantime live, laugh and love. It has always been what we were meant to do best. 

The Mathematics of a Pandemic

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I had been teaching math all day long to eight youngsters ranging in age from seven to teens. One of my lessons was on statistical data and how to find different kinds of averages. I used Covid-19 as an example for my student. It was a bit of a stretch but he got the idea. We even talked about what exponents do to numbers and how data can be used to analyze situations and make predictions. It got me to thinking of how differently people are reacting the the virus and the restrictions associated with them based on where they live and sometimes even their political leanings. The truth is that many of the conclusions that people draw do not take all of the information and intervening factors into account. So forthwith is a very elementary discussion of what I believe is happening, but first I want to talk about what occured with the Spanish flu of 1918.

World War I was at an end and the troops were coming home to the United States. Since the fighting was mostly confined to Europe it was natural that the ship first came mostly to ports along the east coast. Additionally some cities like Philadelphia were initially rather lax in enforcing rules to keep down the level of contagion. As a result the highest incidence of contagion and death trended in cities in the eastern part of the country first. As the flu moved westward more stringent efforts of social distancing resulted in fewer illnesses and deaths. In other words the people learned from the mistakes of their fellow citizens in the east and profited by being more vigilant. There were still may deaths but the numbers were mitigated by the measures derived from observing the problems in the places where the flu first presented itself. 

Today we have massive numbers of people traveling across the globe with places like New York City, Seattle, and Los Angeles serving as ports of call for cruise ships and air travel. It appears that the first cases of Covid-19 in the United States were travel related, but because there initially were few attempts to change our normal activities the virus soon spread through community interactions. It took a bit more time than it should have to approach the realization that people needed to protect themselves and thereby flatten the exponential curve of contagion by staying at home.

Only a little more than three weeks ago spring break was in full swing. The Houston Rodeo was still packing in tens of thousands of people on a daily basis. My grandson went to New York City with his orchestra to perform in Carnegie Hall. Mardis Gras had attracted massive groups of people. It was already a bit too late to eliminate the suffering that now plagues many cities in the country but the heartland of middle America has been somewhat spared by finally closing down schools, businesses, churches and all unnecessary gathering. Sadly, some people have misinterpreted the slowdown of cases in those areas as an indication that the whole pandemic is nothing more than a hoax, much ado about nothing.

I’ve been looking at pie charts for the Houston area. Rather amazingly the sixty and older crowd makes up very few of the current cases. My guess is that people in that demographic hunkered down rather early for fear of catching the virus so they have mostly stayed well. I for one have been outside of my home fewer than five times for the past month. One time I accompanied my husband to Methodist Hospital for his heart surgery. On another occasion I went to get a Prolia shot for my  osteoporosis and twice I went to pickup  groceries at HEB. Aside from that I have been home watching the world go by from my windows. It’s little wonder that most of the cases in our area are younger than is typical because they often tend to be the ones who seem to think that they are safe from infection or having a serious case.

It is incredibly important that we not get overly irritated about having to stay home. We are the defense against a surge of Covid-19 as long as we follow the guidelines. If we start to get lax we will undoubtedly experience an unnecessary surge in cases that will only result in prolonging any agony that we may be feeling. I sincerely believe that each of us has a moral duty to work together to keep the numbers at a manageable level.

There are a many things that greatly disturb me, but most egregious of all are the people who insist that this whole ordeal is some vast political conspiracy designed to make our president and our country look bad. Many of these folks are refusing to stay at home even as the numbers of infected individuals grow. They don’t appear to notice that even President Trump has finally abandoned his wishful thinking that we will be back to normal by Easter Sunday. So far the facts demonstrate that the medical community has been right on target with both their predictions and their recommendations. It’s time for us to listen to the mathematics of the pandemic.

I’m as worried as anyone about what a prolonged period of isolation will do to our economic well being. I suspect hard times even once we are able to resume our normal routines. Nonetheless I keep reiterating my observation that it is rather doubtful that all the leaders of the world would be willing to trash the global economy on a whim. This is serious or as Angela Merkel said, “Es ist ernst” and we need to treat it as such. It would be even better if we might do it in a spirit of harmony. It’s the patriotic thing to do.

A Better Investment

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When I was a student I earned a four year scholarship to any state school of my choice. Since I liked my hometown university and didn’t want to disrupt my mother’s well being by adding to her stress I enrolled in the University of Houston, the same school that Elizabeth Warren attended at about the same time. It was a happy decision for both me and my mom because that scholarship would take care of all of the costs as long as I kept up my grades.

My first year was exciting to me because I had been incredibly isolated up to that time. I had essentially attended school with the same group of students from second grade with a few more coming from Catholic schools in the area when I went to high school. My neighborhood was my world and I rarely went beyond its periphery. Even then it was to shop at nearby stores or to visit relatives. I was decidedly unaware of the rest of my growing city or the world outside beyond what I read in newspapers and books. Going to a large public university was somewhat akin to being thrown into a shark tank, but I was more than ready for the challenge. In fact, I wanted it more than anything. I saw striking out into a school where I would literally become a number as an exciting way to get a college experience without leaving town and making things difficult for my parent.

My first year at the University of Houston was a revelation. I had a few classes in huge auditoriums where there were almost as many students as half of the population of my private high school. Others, like a German seminar, had under twenty in the group. I went to Greek parties, attended the football games, hang out in the Cougar Den, participated in civil rights and antiwar demonstrations, and saw celebrities up close like Mohammed Ali who was still using his birth name of Cassius Clay. I met students from Alaska and around the world. It was a heady experience during which I kept up my grades to insure that my scholarship would be secure. Unfortunately I was totally unaware that I had an obligation to re-apply for the financial aid each year to verify that I was indeed maintaining a high grade point average.

Back then the process of registration for classes was an abomination. Each student received a specific time to wait in a line and then be allowed into an auditorium where grad students manned desks for each major. They had boxes of computer cards that represented the individual classes according to professor, meeting time and section number. I had to race from one station to another to hopefully secure cards for the courses that I wanted to take. If the cards were gone from one of my choices I had to make on the spot decisions regarding what to take because my scholarship required me to take a certain number of hours as well as to graduate within four years.

As a sophomore I was far more prepared for the onslaught than I had been as a freshman and I felt confident in the preparations I had made for the challenge of securing a decent schedule. In fact I had my fifteen hours secured without a hitch and as I walked to the financial aid station to get my scholarship money and guarantee my classes for another semester I felt somewhat smug. I had little idea that my world was about to shatter.

I handed my computer cards to the worker and gave her my student number so that she might verify the payment for them. She scanned the lists with a bored expression that did not change until she had reached the end and had failed to find my information. She asked me to write my full name and student number on a piece of paper that she used as a kind of guide to run down the list one more time. Still she found nothing and panic began to overtake me. I barely heard her instructions to take my cards and myself to the financial aid office to determine what was wrong.

Once I got to the official domain of loans and scholarships I wrote my name on a long list and sat waiting for what felt like eternity. A rather brusk woman ushered me into her office to find out what I needed. She made no attempt to hide her impatience instead rushing me to describe my problem. Without saying a word she began searching through alphabetized files. Within a few minutes she returned to her desk with a folder that evidently contained my information. Without fanfare she announced, “You no longer have the scholarship. You did not renew it.”

I felt as though I had been gut punched and was hardly able to admit that I had no idea that I had to renew the scholarship. I thought that it was good for four years as long as I kept my grades in order. Nobody had ever mentioned to me that there was a yearly process beyond simply going to classes, making the grades and then returning for a new semester.

The woman barely contained her annoyance with my whining that was rapidly turning into tears. She announced that there was nothing that she might do to help. My scholarship was gone, not just for that semester but forever. She made it clear that I needed to move on and allow her to get back to her work with the long line of other students who were seeking information. I left with my tail between my legs because I had no idea how I was going to pay for my classes and I did not want to ask my mother for money that I knew she did not have.

After spending several minutes sobbing inside a stall in the bathroom I screwed up my courage and came up with a plan. I had worked all summer and I had just enough funds to cover the classes and pay for my books. My fun money would be gone but at least I would still have courses to attend. I managed to pay for my classes then and in future semesters and never once had to secure a student loan which gets me to the heart of my story.

Back then the cost of college was low enough that I was able to work part-time and earn the funds needed to cover expenses. Today the price tag on even state universities has soared to ridiculous levels. A little work here and there is not sufficient to pay the bills of learning. Adding to the difficulty is the fact that today’s students are limited to the amount of time that they may take before graduating and being forced to begin the repayment process on loans with interest rates that would make Shylock appear benign. Instead of having a set payment for a certain amount of time those student loans operate more like a credit card, growing at a frightening rate as time passes. It can take years for someone to pay them back even when they are lucky enough to land a well paying job.

I find myself wondering what I would have done and where I would be today if the cost of my education had been in the same league with what students now face. I suppose that I would have had to drop out for a semester and gone to work until I had saved enough to return or somehow secure a loan. I managed to pay for two degrees from rather low paying jobs. By the time my daughters went to college my husband and I had to take out loans which took years to repay. The situation students face today is more dire than ever. I paid around five hundred dollars a semester for my undergraduate degree. Their tabs are more in the range of tens of thousands of dollars. Even using proportion based on the increases in salaries over the years the expenses related to  university educations has blown up to almost untenable levels. We need to find a reasonable plan for dealing with this, and so far the ideas are not particularly well thought out.

I think that universities should begin the process by cutting unnecessary items from their budgets. We did not have fully loaded gyms and entertainment venues on campus back in the day. We got by with a more bare bones approach to education that concentrated on the basics but still provided exceptional teaching. We can also streamline the student loan business and set up contracts with students that work more like the kind of loans that one might get to purchase a car or home rather than treating them like credit card charges that can take years to repay. There should be lower payment incentives for students who maintain high grade point averages or who major in particularly needed fields. Instead of placing hefty tax burdens on the wealthy there should be tax breaks for those who invest their money in educating worthy students, thereby increasing the number of scholarships or no interest loans available. Grandparents, aunts, uncle, friends, employees, businesses who help students should receive some kind of tax credit thereby making such contributions attractive. I’d certainly rather send my some of the money that I now pay in taxes to a worthy student. Such outreach should by definition include helping individuals pay for trade schooling as well as traditional university educations.

It’s way past time for our country to invest in the education of our youth. It need not mean a great burden on unwilling tax payers and it does not have to be free and without strings. It simply needs to be a complete overhaul that seeks to cut costs, incentivize the process of helping students to pay for college or any form of training, and find ways to simplify loans so that they have a set payment schedule that ends by a certain date. We can make things better but it won’t happen until we get serious and have a bit of compassion for the young people who really do want to make a better future for themselves and the rest of us. We need them to carry on the work of this nation. I can’t think of a better investment for the good of all of us.