Category Archives: Sort of Academic

Deal or No Deal

The game show “Deal or No Deal” premiered in 2005, and NBC took advantage of its faddish popularity by airing it at least twice a week in primetime. By 2008, it died of overexposure, joining Who Wants to Be a Millionaire and other burn out cases on the obscure Game Show Network. In its heyday, viewers responded to the voyeuristic pleasures of watching frenetic contestants make the biggest financial decisions of their lives on national TV in front of a cheering audience and the leering Howie Mandel, the show’s skinhead host. But it turns out that there was another niche audience that was rapt in front of the TV – behavioral economists who considered this a unique real life experiment in how people assess financial risk. Continue reading

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Drunkard’s Walk

Every now and then when I am doing errands, I stop at the local bookstore to see what’s new.  I freely admit that I judge a book by its cover – the title, the graphics and any blurbs.  I also like to stroke the cover – a nice grainy feel may be the tipping point to a purchase.  The particular book that recently caught my eye was “The Drunkard’s Walk: How Randomness Rules Our Lives.”  The dust jacket was very cute, consisting of punched out holes spelling out the word random.  The title resonated since I have often marveled at how coincidences can change your life on a dime. (See prior fanagram, “That Moment in Time.”)  Certainly my life changed for the better in 1978 when I randomly met my husband Nick at a large Christmas party that neither of us was invited to.   Continue reading

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Unfinished Business

I have been on a math kick recently, having rediscovered math in last year’s experiment in retaking the SATs after a 40 year hiatus. (See prior posts filed under “SAT Experience.”)  A previous essay described my quest to finally understand why you can’t divide by zero (Grokking It), but now I realize that I have one piece of unfinished business left from my junior high school education.  How is it that multiplying two negative numbers results in a positive number?  It makes no intuitive sense to me, because as I was taught early and often – two wrongs do not make a right. 

 

My journey through the history of zero taught me that math is best understood if you can restrain yourself from trying to explain all math through real world problems.  Basically, numbers are simply tools, and have no meaning aside from what we assign to them.  The number “1” on its own doesn’t mean much, it is only when we say “one banana” that it acquires some sort of context.  Aside from mathematicians, engineers and physicists, every day math for the everyday person is all about counting objects in our every day world, so that math as a concept is unfamiliar.  So perhaps my multiplication problem should be reframed as a problem that does not have a simple real word explanation, and, just like dividing by zero, I should just accept it and move on.  Continue reading

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Grokking It

Grok: to understand so thoroughly that the observer becomes a part of the observed—to merge, blend, intermarry, lose identity in group experience. It means almost everything that we mean by religion, philosophy, and science.
——–

Last year’s experience of retaking the SATs reminded me of a mathematical mystery left over from high school, namely why dividing a number by zero is either not possible or equals infinity. I never understood the logic behind this, but begrudgingly accepted it as a rule I had to live by. My day job of medical consulting is currently in a bit of a lull, so I decided to use this found time to spend quality time with zero and grok it.

In high school I assumed that if I didn’t understand something it was my fault, but as I investigated zero I was astonished to find that zero has perplexed mathematicians, philosophers and religious leaders for thousands of years. Part of the reason was that there was no role for zero in early math, which was simply based on counting – Ooga Magook in his cave counting bears’ skins, or Jesus counting his shepherds, and his shepherds counting their sheep. If there were no bearskins, there was simply nothing to count, and Mr. Magook would merely grunt, “I got no skins.” Continue reading

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Chapter 4. SAT: The Reveal

(For the complete SAT experience see other 3 chapters and a YouTube song parody about the SAT test!)

It has been one month since I took the SATs and while awaiting my scores I have been interested to learn more about its history.  It turns out that the SAT test was an outgrowth of the IQ tests that were first developed by Binet in 1905.  France had recently made a commitment to offer education to all of its children and the test was designed to identify children with significant learning disabilities so that they could receive special education.  In other words, the IQ test was designed as a way to extend educational opportunities to everyone, as opposed as a technique of identifying elite students.  Additionally, Binet stressed the diversity of intelligence and the certain impact of environment. 

In this country, those caveats were largely ignored; the IQ test was initially used on a large scale by the military before WWI to identify potential officers.  The SAT perked along at a low level until it received a big boost from the Korean War when the government announced that college deferments for active service would be based on SAT scores.  The idea was that the education of future scientists who could contribute to the war effort should not be interrupted.  Some soldiers were certainly assigned to units reflecting known skills – i.e. doctors served in the medical corps – but this program deferred soldiers based on their potential worth (judged by their SAT scores) to a potential job that could be potentially useful in a future war effort.  The bottom line was that you didn’t want the next Albert Einstein killed in a trench somewhere.

One of the early champions of the SAT was a Harvard dean named Henry Chauncey.  He was infatuated with standardized testing in general, and thought that the SAT could be a great leveler that would serve to extend elite educational opportunities to those outside the usual students drawn from East coast boarding schools.  His belief in the objectivity of standardized testing seems hopelessly naïve, given the obvious flaws in every step of the logic train: 1) that you can define intelligence; 2) that you can produce a number that would reflect that intelligence; 3) that you can determine this number by a multiple choice test focused on math and vocabulary; and 4) that the test produces consistent results across genders, cultures and ethnicities. 

One of the persistent criticisms is the inherent bias in the test, particularly in the reading sections, where questions ask for interpretation of the dreary reading passages.  The SAT has to include questions with a range of difficulty in order to distinguish the bright from the average mind.  One way to introduce difficulty is simply to make both the questions and the answers more ambiguous.  And there is bias in the way the SAT decides which questions are easy or difficult.  In every SAT, there is a section which experiments with  new questions; these questions do not count toward the final score.  A question is considered difficult if only those students who get a high score on the “real” part of the SAT answer the experimental questions correctly.  Therefore, this circular definition reinforces any bias that favors students who have undergone coaching who presumably are scoring higher; these students are the final arbiters of what is considered difficult.  The other simple way to introduce difficulty is to just make the test longer so that not everyone can finish it – so at this point the SAT is testing speed, which is an interesting criteria for aptitude. 

And then of course there is the subjectivity in grading the essay section.  The SAT essay is graded from a low of 1 to 6.  Grade 6 is defined as an essay with “clear and consistent mastery with an effective and insightful point of view.” Grade 5 is defined as “reasonably consistent mastery with a effective (but not insightful) point of view, and so on.  The SAT states that their scorers are rigorously trained on sample tests that some sort of expert committee has judged as 6, 5, 4, 3, 2, 1, etc.  While it is probably possible to come to some agreement on the extremes, the 6’s and the 1’s, the consistent discrimination of the intermediate zone, i.e. 2-5, where most essays will lie, just has to be more problematic.  I am just not buying the SATs breezy assurance of objectivity and the cross checking of scores among multiple scorers.   Another criticism is that good writing depends on thoughtful consideration of a topic and the ability to revise, two aspects that are clearly not part of the SAT essay, where a topic is sprung upon students who are writing with 25 minute shotguns pressed into their temples.  Finally, the SAT makes a point of stating that facts are not checked.  Therefore a student can cheerfully state that the Civil War began in 1842 without getting dinged.

The College Board’s steadfast assertion that the SAT cannot be coached is self-serving and silly.  Prep courses like the Princeton Review make millions of dollars in training students to think like the SAT so that they can answer the ambiguous questions.  In fact thoroughly prepped students can often answer the reading comprehension questions without even reading the passages.  The Princeton Review is absolutely gleeful about outsmarting the SAT; its president tells its students, “The SAT is bullshit, let’s blow these assholes away.”   

My indignation has risen as I have gathered more information on this cruel and stigmatizing hoax, and I would love to lambast the SAT.  But my message would be more convincing if delivered from a position of power, for example, an 800 ft. mountain.  So brings me to the question of how I did, and this is the first question that everyone asks when they hear of this experiment.  Truthfully, I don’t really want to know, but this is a story, and the story needs to have an end.  I can foresee several possible scenarios:

1.  The test is totally invalidated since I made additional errors in gridding in my name or number of the testing center on the score sheet.

2.  When I skipped those annoying math questions, my answers got misaligned, resulting in totally random answers.

3.  I could have held my own with middling SAT scores, which I could claim was a satisfying result, but these results would also feed into the conceit of the SAT who could claim that they had a test-retest reliability that extended over decades.

4.   I could have hit it out of the park.  From this vantage point, it would be a pleasure to totally dismiss and diss the SAT.   

5.  I could totally bomb out

And of these scenarios, which would I feel comfortable in sharing?  I am generally pretty agreeable about humiliating myself, but I think that there are some statistics that people feel more private about – for example, nobody goes around asking or telling people their IQs, which are not far from the SAT.  I found two interviews where the guest expert on the SAT was asked what his scores were; one said around 1500, which of course is a very high score and made me think he was pretty cocky, and the other said that it was a private matter, which made me think that maybe he was ashamed of his scores.  I went into this project thinking that it was just a lark, but now, with the scores imminent, I have to admit that I do have some ego riding on this.  I still recall with disappointment my high school scores, and perhaps I have put myself at risk by secretly trying to make amends.  It is disenheartening to realize that your high school intelligence – either under or over achievers -  is pegged to standardized test scores.  Underachievers have the gift of untapped potential and can always improve if they just pull it together, whereas the word overachiever has a negative whiff to it.  We overachievers (not test undertakers) are operating without the safety net of untapped potential and can only go down.  At any moment Toto could go skittering across the floor and pull the curtain away revealing that I was no Wizard, I was just an overachiever and that my nice plump GPA was a fluky sham.   

My friend Dick said, “Let’s make this interesting, I’m willing to put a little money on the over/under.  I bet you get under 600 on the math due to disuse atrophy, and over 700 on the reading.  Well I can triumphantly report that he lost the bet.  Reading:  Wow an 800!  Math: I got 48 out of 56 correct, which put me in the 90th percentile, which translated to a score of 680.  This leaves me in awe of the students who get 800.  Writing: 650.  It looks like they hated my essay, and my scorn for Standard Written English did me in. 

So what have I learned?  Well one thing the SAT has taught me is that every good essay must have a concluding paragraph.  So here it is.  I could not find one redeeming factor about the SAT.  It does not test aptitude – how could a timed, multiple choice test possibly – it is not a great leveler, due to the persistent cultural biases, and the ability to prep – and it is not a strong predictor of college success.  The validity of the predictive value of the test is its raison d’être, but the data only shows that the SAT test predicts a small fraction (8-15%) of the variability in freshman test scores.  This means that about 88% of the time the SAT results are no more predictive of first year grades than a role of the dice, and whatever predictive value the test does have, it dissipates by sophomore year.  At yet every year, Americans spend more than $100 million dollars on the test itself.    So why do we persist in this folly?  For one, colleges get the scores for free, but if you asked them if they would budget 100 million dollars for SAT information, they would surely decline.  Secondly, they can use the SAT scores to confirm their status as an elite institution and possibly attract more highly qualified candidates.  Finally, the SAT sucks them in by giving them additional demographic information about their students.  For me, it was an interesting experience and I am pleased with my scores, but if it were not so expensive I would be tempted to take the Princeton review and “blow those assholes away.”

The missing words in the above poem are all anagrams (like spot, post, stop) and the number of asterisks indicated the number of letters.  One of the words will rhyme with the previous or following lines.  Your job is to solve the missing words based on the above rules and the context of the poem.  Scroll down for answers.

Reasons Why the SAT is Bullshit

It is a test that is culturally biased, stigmatizing and *****

Especially since it doesn’t really predict how well you do in school

When everyone practice and preps hoping for Ivy League success 

The most likely result is a bleeding ***** from anxiety and  stress.

Only the ETS benefits, rubbing their greedy hands with unfettered glee

As they rake in filthy ***** from students’ admission fees.

 

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Answers: Cruel, ulcer, lucre

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Infinity Plus One

I just caught a snippet of the little boy’s conversation as he excitedly told the librarian, “It is going to last forever, like 140 million bazillion years.”  Ah, yes, I do recall that troublesome challenge of turning the philosophic concept of forever into a concrete number.  In my grade school days, we would said “infinity plus one.”  Ricocheting comments like “can so,” “can not”  could be promptly ended by saying, “can so, infinity plus one.”  Somehow using math seemed so concrete and definitive compared to saying “forever” or even “forever and a day,”  and the phrase had such a specific context that no one ever thought of saying “infinity plus two.”  However,  I certainly never pondered the deeper implications of infinity or forever, or its mirror image, zero, the null and void.   

The early 1960s was a troublesome time to think about forever.  We would sit in church and recite, “as it was in the beginning, now is and ever shall be, world without end,” smugly confident in the permanence of this world and our dominance.  But then the next day we would have bomb drills at school.  The siren went off and we immediately scurried beneath our desks and put our head between our knees and our hands over our heads.  Some of the luckier classes would crouch in a windowless hallway which seemed more secure than our flimsy wooden desks.   Regardless, as a fourth grader I intuitively knew that nothing could save us from the bomb.  We were all doomed – no world without end for us, we were headed for the void. 

Meanwhile our next door neighbors were busy building a bomb shelter in their basement.   For reasons I never completely understood, we had a prickly relationship with the Cartons – even our dogs snarled at each other across the property line.  Therefore, it was something of a surprise when the Cartons invited us to bunk in with them in the event of a nuclear attack.  Perhaps Mrs. Carton was just trying to be neighborly as a payback for all the block parties my mother worked so hard at.  Perhaps she wanted to create an invitation-only scenario to avoid the anticipated chaos that would descend on her bomb shelter door, like the last helicopter out of Saigon.  Regardless, my mother politely declined the offer saying, “I’d rather be dead than live in a world like that.”  I tried to put thoughts of my impending nullness aside.  Instead I wondered whether the world my mother was referring to was the thought of sharing cramped quarters with the Cartons, or the broader context of post apocalyptic devastation.  But the fragility of a world with an end was troubling.  

 “Mom, what will I feel like when I die?”  I asked. 

 My mother was not a deep thinker, and tended to push difficult questions aside, but she was infinitely clever and said, “Well, remember what you felt like the entire time before you were born, well I think that you will feel the same way the entire time after you die.  It is the now that is important.”

This simple philosophy seemed to settle the issue for a while and the collision between infinity, forever and reality did not come up again until high school.  My sophomore year I had reveled in geometry where I found security in the unassailable truths in proofs of geometric figures – side/angle/side, angle/side/angle, side/side/side.  You were given point A and point B and the challenge was figuring out how to get from one finite point to another.  But the destination, not the journey, was the final truth.  English was another story.  I struggled with our English teacher who aggressively challenged us to interpret the William Carlos Williams poem the Red Wheelbarrow.

 so much depends

upon

 a red wheel

barrow

 glazed with rain

water

beside the white

chickens.

 The  teacher said, “Do you think that the three points of the wheelbarrow represent the father, the son and the holy ghost?  What about the chickens, are they a symbol of man’s dominance, while the rain represents man’s impotence?  Why do you suppose the wheelbarrow is red as opposed to some other color?” 

“Good lord, I thought, “You’ve got to be kidding.  This is just a farm scene, and the wheelbarrow is red only because the farmer had extra paint after he fixed up his barn.  Why can’t a wheelbarrow be just a wheelbarrow?”

The truth was that since there was no one correct interpretation I really didn’t care about any interpretation.  In English, there was only point A and an infinite number of ways of getting to no particular destination.   I was so happy to rush off to my math class.

 Unfortunately the safe haven of geometry segued to calculus and math started to have symbols.  We were formally introduced to irrational numbers, like π (pi), the ratio between a diameter and a circumference.  For practical purposes pi was 3.14, but in reality the ratio went on to infinity.  Clever classmates would get up and recite pi to ten or twelve digits, and I suppose that you could earn some cachet by claiming that you were the only person on earth who knew the final digit of pi, but the pressing question from the calculus teacher was “How could pi be a real number if it cannot have a defined value.  Can infinity be real?  Is there any such thing as forever?”  I trembled – math had just gotten messy and philosophical and was veering off into the uncomfortable vagueness of the red wheelbarrow.  The teacher then wrote the irrational number 0.99999 stretching out ad infinitum.   He said, “let x equal .99999 and let 10x equal 9.999999, and when you subtract the first equation from the second the infinite string of .9999’s will cancel each other out, leaving you with 9x=9 or x=1:”

 10x = 9.9999999

    x = 0.9999999

9x = 9 and then x=1

“Now, students here is the paradox,  you can see that x equals both 0.9999 and 1, proving that at some infinite point the fraction will become one.”  In that moment I realized that there could be no such thing as infinity, forever or eternity and that the world must have an end.  It is just that we cannot know when the end is, when that last 9 will flip over like a odometer and trigger a mass conversion to the number 1.

The teacher then went on to explain that if we believed in infinity, we would not be able to sit down.  The surprising but seemingly logical line of reasoning was that before we could sit all the way down we would first need to sit half way down, and then a quarter of the way and an eighth of the way with smaller and small fractions extending on to infinity.  Our ass could hover ever closer to the seat as we continued to halve the distance, but if infinity existed the fractions would keep getting smaller and we would never get there.  As I sat there in calculus, I also realized that I should not be able to get up, but the bell rang and I stood in total defiance of infinity.

The sitting and standing example was actually a good example of the opposite of infinity, i.e. infinitesimal, the smallest number possible.  At some point there must be a fraction so small that it becomes zero.  But we have rejected that scenario, since no one wants to admit that there are hopeless situations.  There is a funny line in the movie “Dumb and Dumber” where the clueless doofus Jim Carey character is trying to wrangle a date with the attractive Lauren Holly.  She says that there is no chance that she would date him, and he replies “really there is no chance?”  To throw him a bone she replies, “yes maybe one in a million.” He beams ecstatically and says, “Well there is hope,” and we all laugh at his delusional optimism.  But his odds are a lot better than anyone who buys a lottery ticket.  As the pot grows bigger and bigger, more and more people rush out to buy a ticket even as the odds approach zero that any one individual will win.  But there it is in the paper the next day, some lucky bastard defying infinity by sitting in the lap of untold luxury.  You can’t deny hope if someone has got to win.

Calculus was the end of my math career.  It lost its appeal as it became more philosophical than practical and symbols exceeded numbers.  As I progressed through college I assiduously avoided any English courses and focused on the comforting facts of science.  The last course I took in college was the required course English 101 where I got randomly assigned to a poetry interpretation class with a bunch of eager freshman. 

I panicked, “it’s going to be that damn red wheelbarrow again with a bunch of chickens in the rain.  Unless I can figure out what it means I might never graduate.” 

But then I realized that even though there was a definite appeal to knowing when I was absolutely right, the impossibility of being totally wrong was also pretty attractive.   There are infinity plus one possible interpretations why chickens in the rain are important; I took a personal one, ran with it and aced the class. 

Forty years later, I still look to numbers for their concrete value as I have pursued a career in medicine, and I still avoid the collision of math and philosophy – after all if two wrongs cannot make a right, how can the multiplication of two negative numbers be positive?  The threat of nuclear war has been assimilated into the deep background of daily life, and the new owners of the Carton’s house turned the bomb shelter into a very snappy wine cellar.  Point A is receding into the distance, but I don’t spend any time dwelling on the where, when and how of point B and beyond, and appreciate that it is the big uncertain mess in the middle that makes life interesting.  Our son Ned told me about his 19 hour journey in a hot, dusty, overcrowded train in India.  A Muslim man asked him where he was going after he died, at which point Ned said, “Well I’m willing to be surprised.”  My mother, who is now beyond point B enjoying the hereafter, must be smiling at her grandson’s here and now response.

The missing words in the following poem are anagrams (like spot, stop, post) and the number of dashes indicated the number of letters.  One of the words will rhyme with either the previous or following line.  Your job is to solve the missing words based on the context of the poem.  Scroll down for the answers.

Math and geometry were my favorite subjects when I was just a youth,

I thought, “numbers — —- the universe” and provide us with the truth.

But in calculus, mathematical concepts of infinity began to appear,

And when added to philosophy suddenly things became ——-

Infinity must have a beginning and an end, a paradox that is hard to comprehend

Unless of course a ——- attack brings these thoughts to an apocalyptic end. 

So don’t get — —– worrying about the heretofore and the hereafter,

Just hope that the uncertainty of surprise brings you love and laughter.

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 Answers:  can rule, unclear, nuclear, an ulcer

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As Lolita Lay Dying

As a child, I was a reader, voraciously consuming books like the Boxcar children, or the adventure series by Enid Blyton (Sea of Adventure, Circus of Adventure, etc.).  Once I had run through all of these, I would save up my allowance and go to the Surprise Shop and buy a new Hardy Boy mystery.  (My identity as a tomboy was so firmly established that it never occurred to me to buy Nancy Drew.)  Old family photos show me sitting at the beach quietly reading while the rest of the family went swimming.  On one vacation I had packed poorly and had to read the single book I brought over and over.  My mother gave me a book quiz, and when she asked how Ellen held the lion, I was able to give the correct verbatim reply of “fondly.” 

My love of reading was certainly not nurtured by my parents.  My mother hated bedtime rituals and felt that reading out loud was only a manipulative trick to prolong the process.  She wanted to snap her fingers and have us all march dutifully to bed.  In her defense, she was dealing with 6 children.  Besides I never cared, since I could read a book faster than anyone could read it out loud.  I adopted the same strategy as a parent, and thus have felt a bit guilty – maybe if I read more to my children, they would enjoy reading more themselves.  Oh well.

After grade school, “reading” was no longer a class and you were pretty much left to your own devices.  Certainly in college and medical school, there was limited time for anything other than textbooks where reading was purely a communication device.  But just as I had been eager to find out whether the Boxcar children ever found their kindly grandfather, I was just as eager to find out why Hitler did not invade England when he had the chance or how energy was transferred in the citric acid cycle.  I would situate myself in the library with a big textbook on my desk and a brand new yellow highlighter, which I would sniff in appreciation of its chemical odor, and then off I would go for several hours.  At one point in medical school, I had such an extraordinary volume of material to consume that I sat up in bed and arranged all the books around me in a tight fortress.  When I went to sleep at night, I simply lay back quietly without disturbing any of the books.  When I woke I just sat up, picked up a book and resumed where I had left off.  In the afternoon, I would move the operation outside to a lawn chair, occasionally napping off as I was surrounded by my books.  At the end of the study period, I was perfectly tanned only on one side of my body and I looked like the two disparate sides of a pancake.   

In the midst of this long non-fiction period, I did manage to read a few novels which generally occupied the comfortable middle ground of an engaging story, well told.  But I will never forget the two that taught me that in talented hands words can go beyond their meaning and that the plot line can be an incidental vehicle to showcase their beauty.  I encountered William Faulkner’s “As I Lay Dying” in high school, a shortish story told in multiple voices of the Bundren family from backwater Mississippi.  The family is making a rare trip to town to bury the family matriarch, Addie.  Each family member has a separate agenda, young daughter Dewey Dell wants an abortion, her father wants new teeth and a new wife (in that order), the youngest brother wants a train set.   Sometimes the punctuation and phonetic spelling are sketchy and the story line is garbled.  Unlike a linear narrative, you have to work at this story and reread passages.  At one point, Darl goes on this existential riff:

“In a strange room you must empty yourself for sleep.  And before you are emptied for sleep, what are you.  And when you are emptied of sleep you are not.  And when you are filled with sleep, you never were.  I don’t know what I am.  I don’t know if I am or not.  Jewel know he is, because he does not know that he does not know whether he is or not.”

The commentary that seeks to explain this passage far exceeds the length of the entire book, but to me Faulkner brilliantly describes the challenges of identity with simple unadorned language.  Come to think of it, just last night, I had trouble emptying myself for sleep to make room for a dreamy new identity.  In another chapter, Dewey Dell says, “I feel like a wet seed, wild in the hot blind earth,” a phrase that exquisitely captures the limitless possibilities of youth unencumbered by responsibilities or realities.   I have not reread As I Lay Dying in the last 40 years, but occasionally at the library I will go into the stacks, flip through the book and find that phrase, easily spotted at the end of a chapter.  I feel the same way when I happen to walk by my jewelry box, open it up and check up on a much loved bracelet.

I first encountered the novel Lolita in a bizarre way.  A friend was giving Nick and me an engagement party and unexpectedly showed the movie as after dinner entertainment.  This was in the pre-DVD days, so an at-home movie was a real novelty.  Somehow Rich had gotten hold of the actual film reels, a projector and had set up a sheet for a screen.  We all sat transfixed, watching the grainy movie that was slightly distorted by the undulations in the sheet.   Lolita tells the story of a middle aged man with the improbable name of Humbert Humbert* who has a consuming obsession for a nymphet, his namesake stepdaughter.  Deglamorized, Lolita details the chronic rape of a 12 year old, but the alliterative language and word play is so magnificent that you are not repulsed. In fact the novel is number 4 on the Modern Library list of 100 best books.  I rushed out to get the book the next day.  In most novels I riffle ahead, since the whole point of reading is to find out what happens.  With the author Nabokov, I can just sit back and let the lush prose and sly humor wash over me. 

“Once a perfect little beauty in a tartan frock, with a clatter put her heavily armed foot near me upon the bench to dip her slim brave arms into me and tighten the strap of her roller skate, and I dissolved in the sun, with my book for fig leaf, as her auburn ringlets fell all over her skinned knee, and the shadow of leaves I shared pulsated and melted on her radiant limb next to my chameleonic cheek.”

In contrast with Faulkner’s simple language, the Russian Nabokov finds obscure English words that would even escape the most diligent preparation for the SAT vocab.  Periodically, he lapses into his native French or even Latin.  I stumble across the phrase, “those puerile hips on which I had kissed the crenulated imprint left by the band of her shorts.”  I had never seen the word crenulated before or since, but I know immediately that this is the one perfect word to describe the little chain of pockmarks left by bunched up elastic.  And then there is the word “phocine,” as in  “[Lolita] retreated to her mat next to her phocine mamma.”  I initially thought that phocine was just a typo for porcine, a word that could easily convey Humbert’s disgust with the mamma who stood between him and his obsession.   But a word like porcine would be a pedestrian choice for a linguist like Nabokov, so I was intrigued enough to look it up.  Phocine: seal like.  Of  course, the single perfect word to describe a well-oiled, sleek, but overweight woman beached and basking in a nearby lawn chair.  I should expect no less from Nabokov.

Puttering through the library, I was thrilled to find an audio version of Lolita to entertain me during my 7 hour drive through the upper peninsula of Michigan.  When I popped in the cassette, I realized that Jeremy Irons was Humbert Humbert, reading the book in one of those cultured English accents that Americans always fall for.  His sonorous tones were simultaneously reptilian and thoroughly compelling and the hours flew by as I reveled in the language.  I would heartily recommend Lolita for your next long distance journey, but would caution you to pay attention lest you get distracted and carelessly swerve into oncoming traffic.  When I first saw the Michigan squad car tailing me, I felt sorry for the poor sap ahead of me who was about to get arrested.  And then I realized that I was the target.  What had I done?  I was stunned when the policeman said, “Ma’am did you realize that you were doing 85 in a 55 mile zone?  I explained that I had just been caught up in a book, but wisely decided not to educate him on the charms of Lolita.

Forty five minutes later, I was arrested again, this time in Wisconsin.  

*Humbert Humbert joins Sirhan Sirhan and Boutros Boutros Gali in the elite group of people with repetitive names. 
The missing words in the following poem are anagrams (i.e. spot, stop, post) and the number of dashes indicate the number of letters.  One of the missing words will rhyme with the preceding or following lines.  Your job is to solve the missing words based on the context of the poem.  Scroll down for answers.

Ah my nymphet, with languid limbs and dewy —-,

 Your bare necked tawny nape, and puerile hips,

 Your feckless sibilant —- is the essence of pure bliss,

 And beckons me forward to proffer a clandestine kiss.

 I lie helpless and bewitched in your tremulous thrall

 Into your voluptuous abyss, I —-, tumble and fall.

*

*

*

*

*

*

Answer: lips, lisp, slip

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Chapter 3: SAT Game Day

Note:  This essay is the third and last in a three part series on retaking the SAT test.  Please refer to SAT I and SAT II for the complete SAT experience.

October 9th, 2010 – SAT game day for me. I turn to the chapter in my prep book that gives me very detailed instructions on what to do just prior to the test:

“On the night before the BIG DAY, find a diversion to keep yourself from obsessing about the SAT. Maybe stay home and watch some of your favorite television shows … Or talk for hours and hours on the phone about a subject other than the SAT … In the morning take a shower to wake up and then eat a sensible breakfast. If you don’t usually eat breakfast, don’t gorge yourself on test day, because it will be a shock to your system … Make sure that you bring at least three number 2 pencils and bring the calculator that you are most comfortable with … Wear layered clothing … Bring a fortifying snack.”

I try to follow their advice to the letter; my only deviation is to take my shower the night before. Fortunately, our house is well stocked with No. 2 pencils, since the previous Christmas Nick had broken our vow not to exchange gifts and had given me a gross of pencils to do Soduku with. But I have noticed that some of them have defective leads, and so after sharpening, I test the lead to make sure that it doesn’t jiggle like a loose tooth. Two pencils are rejected on this basis. Next I test the erasers to make sure that I won’t be cursed with one of those inexplicable erasers that produces a smudgy streak, thus tragically despoiling my SAT answer sheet. I eliminate another pencil on this basis. Now for the calculator. Forty years ago there was no such thing, but perhaps we were allowed to bring a slide rule or abacus. The only calculator I have ever used is the oversized one Nick uses to balance the checkbook, so I throw that in my bookbag.

It turns out that the testing center is across the prairie that abuts our backyard, then across the railroad tracks to a little trail in the woods that opens up onto the high school driveway. So the most efficient way for me to get there is to ride my bike, which seems very appropriate for this high school experience. I have to carry my bike across the railroad tracks, and I carefully make sure that there is no oncoming train – a fatal mistake that a student made last year in this very spot. As I circle into the school, I see large minivans dropping students off, but no bike rack. I finally ask a security guard and he looks at me quizzically and says, “Don’t you know, students don’t ride bikes any more, we don’t have any racks.”

At this point I am feeling very silly, and it occurs to me that I could have reduplicated this experience by taking a timed test at home using a practice test. However, I also want to experience the anxiety and energy of the mix of students – those with poor grades whose parents are hoping for impressive SATs so that they can confidently say, “Her teachers just don’t get her – those who need top SAT scores to fulfill their parents’ aspirations for their Ivy League alma mater (especially since an early promise on the soccer field did not pan out) – those whose parents risked stigmatization to identify a subtle learning disability adequate to qualify for extra time – those juiced on juiced Adderall – and those effortlessly brilliant students where the SAT is an unnecessary footnote to an already glittering academic career. But when I walk into the room, I feel none of that. My fellow test-takers merely look resigned to spending three hours on a gorgeous fall morning slogging through irrelevant math problems and tedious passages.

The room is deathly quiet and then the proctor stands up and starts reading instructions in a nasal monotone reminiscent of Ferris Bueller, “Good morning, Welcome to the SAT, where you will have the opportunity to show your readiness for college.” I find it very audacious for the College Board to attempt to position the SAT as an “opportunity,” as if this hated test is a privilege rather than a dreaded imposition. The proctor goes on to explain the various features of the upcoming lock-down mode and then instructs us to fill in the answer sheet with our name and other identifying information. During my practice test, I had noticed my biggest liability was careless errors due to impatience, so I decide that I will practice patience by carefully checking over my name, birthday and testing center. Unbelievably, I find two careless errors. I had spelled my name wrong, by mistaking a “Q” for an “O” in the very faintly printed boxes, and I had keyed in my birthday incorrectly, by assuming that the first number in the grid should be a “1” and not a “0,” thus indicating that I had been born 1058 years ago in 952 instead of 1952. Not an auspicious beginning.

First off we have 25 minutes to write an essay on whether or not funding for the arts should be maintained in high schools. I think of the thousands of students writing on this exact same question and the squads of high school and college English teachers who have to read them all, a seemingly excruciating task, particularly since the essay is graded according to grammar, punctuation and organization, and not necessarily creativity. But I have great faith in creativity. One of our favorite family games is the dictionary game, where a word that no one knows is selected and everyone makes up a plausible definition. A single word prompt like “dapifer” can produce such definitions as “someone who spread rumors on a sinking ship,” an “African parasite,” or an “ex-slave converted to Islam.” While the constraints of the SAT are designed to suck the life out of creativity, I hope that occasionally it can still peek through. If I were grading the essays, I would immediately give a top score to anyone who could rise above the straight laced requirements of the SAT and show even a glimmer of creativity. I decide to write my essay on imagination as the defining element of the human brain, and to dismiss the arts is to squander nature’s gifts of our precious frontal lobes.

And then off we go into the multiple choice questions. I get hit with a math section right out of the box, and about half way through I encounter an inane problem about calculating the total number of hours studied based on the average number of hours studied per week across different years of high school. I recognize that they are really testing me on my ability to read a table and translate average hours per week to total hours per year (factoring in holidays), but I find the context so utterly stupid that I make the executive decision that I am too old for this, and I just skip the question – first time ever that I have ever deliberately skipped a question on a multiple choice test. Then there is a grammar section, where I am given four different options to correct a poorly written sentence. I immediately get frustrated because I I know that I can come up with a fifth option that is much better. At our break, I realize that about 90% of the students taking the test are Asian, and that English is their second language. I am immediately impressed that they can master arcane English grammar.

I am pumped and ready after our break, because I think that my sweet spot – vocabulary – must be next. There are a few vocabulary questions, and then I plunge into reading comprehension – a very long paragraph on some crack pot idea called “Pleistocene Rewilding,” where African elephants would be introduced to the United States as a stand in for Woolly Mammoths. Section after section, and there is only a smattering of vocabulary. I sadly realize that vocabulary is no longer a prime focus of the SATs. Another couple of math sections where I feel very naughty in wantonly skipping questions I don’t like – then finally, “Time’s up, put your pencils down.”

So how did I do? Who knows, particularly since there are multiple possibilities for humiliation. I could have made have additional spelling errors on my last name, misaligned my answers on the answer sheet, could have been reckless and careless, or maybe I naively assumed that I could relearn long forgotten math skills. Maybe I peaked at age 18.

The missing words in the following poem are all anagrams (i.e. share the same letters like post, stop, spot).  One of the anagrams is at the end of a line and will rhyme with either the previous or following line, giving you a big hint.  Your job is to solve the missing words based on the context of the poem.  Scroll down below for the answers.

I had this unrealistic hope that if I stayed focused and didn’t flub,

I could wear the SAT – - – - – - of greatness in the 1600 club.

But careless mistakes have been my undoing and – - – - – -

That have always undermined my most noble intent.

I clearly don’t have the patience to win this – - – - – - game

Particularly if I can’t even spell my own last name.

Mantle, lament, mental

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Chapter 2: SAT Prep

 

Note:  This essay is the second of a three part series.  Refer to SAT I and SAT II for the complete SAT experience.

I asked the question as a high school senior and I have tried to answer the question as a parent. “Why do we have to learn this stuff? – I am never going to use it for the rest of my life.” As a parent I tried to explain that Greek history was more a question of intellectual curiosity and critical thinking. However, math stood out stood out as a universal life skill, so I felt somewhat confident as I delved into my first SAT practice exam. The first few algebra questions were within reach, solving some simple equations, and I also dredged up the ability to solve a quadratic equation. But by problem 10, I realized that the Geometry that I loved with its adorable little proofs has had absolutely no part in my life for the past 40 years. None – total disuse atrophy. Who among us remembers that alternate interior angles are congruent, or that the sum of the angles in a polygon are 180(n-2), where n= the number of sides? I found myself rummaging through the deep recesses of my gray matter in a flailing attempt to revive long forgotten skills. It reminded me of the ending of the first Indiana Jones movie, when the curator puts the box containing the magic stones in a vast and dusty warehouse.

At problem 13, I experienced a reflexive collective clench of various anatomies – heart, throat and points south. Word Problems – and these appeared to be unchanged over the past 4 decades. There was the cyclist overtaking the runner, the one about two people working at different rates, and the question is how much time it will take them to finish the job together, the one about how much time it will take to fill a leaky swimming pool, and recipe questions about how to dilute a solution using ingredients with two different concentrations. The only novelty of these questions was the SAT’s nod to cultural diversity. Instead of featuring Tom, Dick and Harry, now there were ethnic names, such as Ahmad, Miguel, and D’Shawn.

My SAT prep book tried to convince me that the SAT was not out to trick anyone, but I’m not buying it. The multiple choices always included the most common wrong answer, playing on students’ comfort in finding answers that matched theirs. And then the other little trick was to add a sneaky extra step to the problem. For example, if the crux of the problem was to solve for “x,” brilliantly wielding multiple mathematical principles, the problem would then, as an afterthought, ask for the value of 2x. Of course you can bet the “x” value would be among your options. Okay, I’ll agree that this is nothing more than reading the question correctly, and I certainly wouldn’t want my airplane pilot to forget to multiply by 2, but I found this just really annoying, especially since I fell for this trick (2x+1)n times.

On to the reading sections. I felt more confident here, especially since I regard my vocabulary and general trivia knowledge as one of my most valued possessions. On the standardized test for medical school admission, there was a section called general knowledge, presumably to make sure that potential doctors were not total geeks. I distinctly remember a question about Sol Hurok. I did not exactly know who he was, and was not exactly sure what an impresario was, but was completely sure that they were one and the same. General knowledge was the only section I did well on and I appreciated the fact that it was culturally biased in my favor – going to school on the east coast and reading the New Yorker were a definite advantage. As I hit the vocab section, my confidence soared further when I discovered that the SATs had eliminated the dreaded analogies section, where you not only had to know the definitions of four words, but also the relationship between words in the absence of any context. They have now replaced this section with sentences that are missing a pair of words. I sailed through this section, though I think that the word “treacly” only lives on in the SAT or maybe in some Jane Austen novels.

The sections on grammar were more problematic, since there is no possible way to reduce the living organism called English to grammar rules. Here is a helpful tip from the SAT prep book:

Use the past perfect for an action begun and completed in the past before some other past action.

Example: “The foreman asked what had happened to my eye.”

Explanation: In this case, ‘what happened’ would be incorrect. The action asked and the action had happened (past perfect) are used because one action (regarding the speaker’s eye) is “more past” than the other (‘the foreman’s asking’).”

So, you really need to rely on the sound of the sentence, but spoken English is a chasm away from written English, especially since the reference point for the SAT is something called “Standard Written English.” The idea behind SWE is that uniform usage among all English speakers will avoid any misunderstandings. Now that is one ambitious agenda, and the shadowy arbiters of SWE seem to be frozen in time. The prep book states that according to SWE, the word “mad” can only mean insane, therefore, “I am mad at you” is incorrect. You need to say “I am angry” and then there are other rules about whether you can say “angry at,” “angry with” or “angry about” depending on the target of your wrath. There is another section that provides a “draft” paragraph that you are supposed to fix. The samples were so wretched that I just wanted to scrap them all and rewrite them from scratch. One thing I know about myself is that I would much rather fix my own mess rather than someone else’s, a point most vividly illustrated by my revulsion in changing another kid’s diaper.

Finally, I reach the reading section, and nothing has changed. The paragraphs are as relentlessly boring as I remember. The SATs try to find topics that nobody is familiar with to create an even playing field, but the result is that the paragraphs are so boring that you want to cry out in agony. One paragraph did happen to discuss the potential causes of Alzheimer’s disease, which I happen to know something about, and I must say, the questions appeared to be written by someone who didn’t know what they were talking about, which may be a more general problem. Over the years of reading medical literature and writing reports, I have found that one of my study skills is the ability to stay focused, so you would think that I could manage this reading comprehension section. However, the key difference is that I have been lucky enough to be interested in what I read, which is a very different skill than staying focused on a topic that I couldn’t give a shit about, like the elements of a Corinthian vs. Doric column. The ability to maintain focus in the midst of utter tedium – that is the skill that the SAT evaluates. However, I hope that this is not a necessary college skill – if you pick your courses well, college should be all about intellectual curiosity and not dreary boredom.

I recall an envious comment about the newsman Walter Cronkite, who in the early days of TV, could broadcast hours and hours of presidential conventions through the mind-numbing details of caucuses, platforms and stump speeches. “Walter has a good ass for conventions.” Perhaps the same should apply to the SATs – you’ve got to get your ass in the seat, settle in, stay calm and go on to the finish line, and perhaps there will be a reward beyond the SAT, like becoming the “most trusted man in America.”

But if the SATs are mind-numbing, that means that going through the prep courses is repetitively numbing – more than the average person can bear. Maybe that doesn’t have to be the case. I am working on a scheme to teach basic math principles (once I learn them) and reading skills using more relevant material; these skills could then be transferred to the real test so that you would only have to be tortured once. My product will be titled the SexAT – hopefully a title like than would fly off the shelves, purchased by parents who will do anything to motivate their children. Last week the Wall Street Journal provided a list of the most common reference books purchased in the US. SAT prep books were listed at number one – a $214 million dollar market. If I could get just a piece of that …

Here is a sample math problem from the SexAT:

For his 18th birthday, Billy’s grandmother, who still likes to talk about her experiences at Woodstock, gave him a bag of condoms. She said with a wink, “You are a young man now, so whatever happens, just make sure that nothing happens.” Billy had made a vow of abstinence at his church group with Agnes, and so he gives 5/6ths of the condoms away to his friends Rex, Ace and Primo. He keeps the rest for himself, because years of boy scout training have taught him to always be prepared. Today at homeroom, Agnes intimates that she would be willing to break her vow during prom weekend, but when Billy looks in his bureau drawer, he realizes that his brother Rod has taken the four that he had been saving.

Question: How many condoms did he give away?

The missing words in the following poem are anagrams (i.e share the same letters like post, stop, spot).  The number of dashes indicates the number of letters in the word.  One of the anagrams will rhyme with either the previous or following line, giving you a big hint.  Your job is to solve the puzzle using the context of the poem.  Scroll down below for the answers.

Ah, geometry was my favorite, I loved each and every – - – - -

And I knew never mix a metaphor or let a participle dangle.

But that was 40 years ago, and now I must be a diligent sleuth

In the dusty recesses in my mind where I can – - – - – geometrical truth,

I will try to draw on life experience to enhance my atrophied smarts

But I will still need the patience of an – - – - – to endure the reading parts.

Answers: angle, glean, angel

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Chapter 1: SAT Do-Over

It has been almost exactly 25 years since I last heard, “Time’s up, drop your pencils.” I was taking the final pathology boards, marking the end of my 9 years of medical training. As I put down my No. 2 Ticonderoga, I promised myself I would never take another standardized test. I had endured the multiple choice questions of the PSATs, SATs, ACTs, MCATs, and four different sets of medical boards. In addition, throughout medical school, all the tests consisted of multiple choice questions. The dubious goal of my medical school was not necessarily to train insightful physicians, but instead to train us to pass the medical boards on the first try, since a high success rate was apparently a sign of educational excellence.

Therefore, every test in medical school exactly duplicated the boards – an endless parade of the evil variant of multiple choice questions – the multiple/multiple choice questions where you essentially had to correctly answer four questions in a row to score one correct. I can still remember the answer options, A: 1, 2, 3 above; B: 1 and 3 above; C; 2 and 4; D 4 only. Later on, I was the author of continuing medical education material, and somewhat vindictively decided to use the same question format. I soon got a call from the editor who said, “Will you quit the multiple/multiple choice questions – everyone hates them – just make the questions as easy as you can so that everyone can pass!”

I was always a pretty decent student based on hard work and good study habits, but I carried the burden of not being a good test taker. This didn’t really matter in medical school since once you got in, all you had to do was pass. But the MCATs and SATs, these were high stakes affairs. I was always jealous of those classmates whose SATs scores exceeded their class grades. I don’t remember what my scores were exactly, but I do know that they devalued my class grades. It was pretty obvious why – my general impatience meant that I tried to answer the questions to the dreary reading passages without reading the material.

I was pondering these ideas as I was wandering through the movie store, and spotted a homemade flyer offering SAT test prep from the “Ivy Insider.” Based on his email, which ended in “brown.edu”, I guessed that this was a kid leveraging his status as an elite Brown student. In the 1970s, the SAT was certainly considered important, but I don’t recall any frantic prepping. The only things I did were to make sure my pencils were sharp and had a good eraser, that the alarm was set, and that there was somebody around to give me a ride to the test center. Now parents invest money and egos in prep courses and individual tutoring in the hopes of skyrocketing SAT scores. As I contemplated the offerings of the Ivy Insider, I wondered what the effect of 40 years of life experience might be on the SAT test – was I smarter than I was at 18, or would a 40 year hiatus of math and grammar doom any efforts? There was only one way to find out – sign up and take the SAT again.

I went on the SAT website, thinking that a college degree might disqualify me, but that was not a problem. I was asked what grade I was currently in, and the options included 7th-14th, but there was a box that said, “not currently in high school.” This seemed like an honest answer so I checked that. In a separate part of the form they asked when I graduated from high school and 1970 was nowhere to be found. I called the help line and a nice young man walked me through the process, never asking the obvious question of why a 58 year old was taking the SAT. My husband, in fact, said that he would rather have a root canal, but then he actually did have a root canal and found it relatively painless, so he revised his thinking and said that he would rather have a rope burn. Given the high stakes of the SAT, I was expecting some elaborate form of identification, perhaps involving a fingerprint or retinal scan, but for $47 dollars I was given an admission ticket and told to show up with a picture ID.

My next step was to define the ground rules for this experiment, specifically what type of preparation would be permissible – would I go in absolutely cold, do a little self help, or call on the services of the Ivy Insider. The SATs have been continually criticized for being biased (both culture and gender biased) and not predictive of students’ college performance, but regardless the SAT persists as a standard hazing ritual for high school seniors. Additionally, critics point out that prepping or coaching undermines the point of the test by teaching test taking skills so that students can “game the system.” Well, here is where I disagree – if there is one thing that I have learned in the past 40 years, it is the importance of understanding process, “gaming the system” if you will, and I would argue that this is a basic life skill. Starting as a freshman in college, you need to understand the system to get the best classes, negotiate for better grades, or work the lottery system to get a decent dorm room. When I was a freshman, I found a junior who was taking a semester abroad. I asked her to participate in the dorm lottery with me as her roommate and then tell the school that she would not be returning. The plan worked perfectly – after she announced her departure, I got the preferred room of an upper classman, and then was able to select my own roommate.

Gaming the system is an essential strategy for everyday things – like buying airplane tickets. You need to know the airline pricing strategy before you can develop your purchasing strategy. The pricing strategy makes sense once you understand the airline’s agenda. Specifically, there is a golden window of reduced airline tickets about 4-6 weeks before the flight. Before that time, the airlines know that they have the anxious traveler who will be willing to pay a premium. After this time, they have the last minute traveler by the short hairs, and they can charge outrageous prices. In the golden window, the airline company realizes that they have empty seats and start to lower the price, and all you have to do is monitor the situation for the optimal fare. One time I had to fly from Chicago to Minneapolis for a last minute business meeting. The cost of this round trip ticket for a 1 hour flight was more than the price of the round trip ticket I had recently bought for London.

Before I start any project at work, I stop to consider what the process is – who the players are and their individual incentives. Otherwise, it is like sending a batter up to the plate without telling him that he does not need to swing at every pitch. The SAT should be no different. If prepping is considered gaming the system, then bring it on. Why shouldn’t the SAT reflect how well students can apply testing strategies? The format of the SAT suggests some very basic strategies. In each section, the questions go from easy to difficult, but each correct answer has the same weight. So the first basic tip is spend more time on the easy questions – you don’t want to muff these questions in a rush to spend more time on the more difficult questions. The second basic tip is that easy questions have easy answers, and the hard questions are often more difficult “gotcha” questions, where there is some twist in the way the question is worded. Therefore, in the hard section, if the answer looks too easy, it is probably wrong. I would argue that real bias is that the SAT does not publish these testing strategies for everyone to understand to create a level playing field. However, the profits of the prepping industry are difficult to ignore; on the SAT website, one can purchase the “official” SAT study guide for $81.94.

So if I am assuming that my life experience counts for anything, I will not take the test “cold,” but allow myself some prepping to understand the testing strategies. (The ulterior motive here is that I don’t want to totally humiliate myself.) I will forego the Ivy Insider, but will self-prep with a SAT review book. My test date is October 9th, plenty of time to dust off moldering algebra and grammar skills. As the SAT website says, I had better “hop to it.” (Is that a cliché, simile or metaphor?)

The missing words in the following poems are all anagrams (i.e. share the same letters like spot, post, stop).  The number of dashes indicates the number of letters.  One of the missing anagrams will rhyme with either the preceding or folliwng line.  Your job is to fgure out the anagrams based on the above rules.  Scroll down for the answers.  In this poem, there are two sets of 4-letter anagrams, one noted by asterisks (*), the other with dashes (-).

Every fall is a * * * * of passage that the College Board holds – - – -

It’s the SAT that students must take their senior year.

It’s high stakes for those who aspire to colleges in the top * * * *

Because they only accept students scoring in the stratosphere.

So the following are some testing strategies to help you succeed,

First keep your focus when you have all those boring paragraphs to – - – -

Second, don’t muff the easy questions, so double check the answers you chose,

And don’t worry if you * * * * out in the hard questions, you can skip those

Third, beware, the SAT will – - – - you to make the easy pick,

But always be on the look out for a sneaky “gotcha” trick.

Answers: rite, dear, tier, read, tire, dare

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