Showing posts with label measurement. Show all posts
Showing posts with label measurement. Show all posts

Sunday, April 6, 2014

Measurement, Memory, and Mathematics


“Five hundred twenty five thousand six hundred minutes/Five hundred twenty five thousand moments so dear/Five hundred twenty thousand six hundred minutes/How do you measure, measure a year?” –“Seasons of Love”

Yesterday, we took Alex to a family restaurant for dinner, and as soon as we sat in our booth, he realized that he had forgotten to wear his watch. In the past, he might have panicked that he didn’t have his watch to keep track of the time, and we would have had to leave immediately. However, he has learned to roll with things much better lately, staying calm and solving problems. First, he looked around the restaurant for a wall clock, but there was none to be found. Then, he decided he would just borrow one from us. In a scene reminiscent of “Goldilocks and the Three Bears,” he tried and rejected our watches. Ed’s watch had the wrong date, which was unacceptable, and my watch was too snug on his wrist. Finally, I handed him my cell phone with the digital clock showing on the screen, and this item, like Baby Bear’s porridge, chair, and bed, satisfied Alex, who found this substitute for his watch to be “just right.” Crisis averted.

As I have mentioned in previous blog entries, Alex makes sense of the world by measuring it and keeping records of statistics that matter to him. His favorite subject has always been math, and he possesses almost savant skills in working with numbers, enhanced by his amazing visual memory. From memorizing nearly 1500 digits of the irrational number pi to remembering people’s birthdates to calculating math problems mentally, he has a gift for remembering and understanding numbers. To assist him with measuring the important aspects of his world, Alex always keeps his measuring tools close at hand, which are among his prized possessions. Calendars, clocks, tape measures, calculators, and thermometers line his bedroom desk and chest of drawers, ready when he needs them. Because he relies upon them greatly, he has more than one of each type of measuring tool in case he mislays one of them and can’t find it. In addition, he keeps notepads and pens handy to record his measuring data.

When dealing with measurements, Alex values precision. If I tell him something costs six dollars, he will correct me and say, “Or $5.99.” If I tell him something will last about a week, he will ask, “Approximately a week or exactly six days?” When his behavioral therapist or music therapist arrives for his sessions, he immediately records their precise arrival time on a notepad as he consults his watch. Even though I have told him that they will be here around 1:00, he wants to keep track of the minute that they actually ring the doorbell. We have also learned not to dispute him when he proclaims certain information about when past events have occurred. For example, he likes to keep track of gasoline prices and will tell us how much gas cost in a particular year. Even when the figures seem a bit off, I never question them. Whenever I go online to check his accuracy, I discover that he is always right, and I find his keen knowledge of the history of gas prices a little eerie.

While some people with autism have amazing abilities to calculate days and dates, I don’t really think Alex possesses that skill. So-called calendar savants can be given a particular date and immediately figure out what day of the week that date was. Recently, my aunt and uncle came to visit from out of town, and Alex commented that my uncle had been born on a Sunday. My uncle didn’t seem to know what day of the week he was born, but trusting Alex’s confidence, he thought that fact was likely. After looking up my uncle’s birth date on a perpetual calendar in the almanac, I confirmed that Alex was right about what day of the week my uncle had been born. However, I suspect that Alex probably had also used the almanac as his source of data instead of calculating the day in his mind.

Nonetheless, Alex does possess outstanding mental calculation skills. A couple of weeks ago, I asked him how he had liked the dinner I had made. After quickly assessing his plate, he told me he liked it “91.6 percent.” Although we’ve grown accustomed to Alex’s percentage rating scale for meals, we were surprised by this odd figure since he usually rates foods in less specific figures, such as 90 percent or 85 percent. When we asked him how he had arrived at that number, he said, “Pasta 90 percent, sauce 90 percent, Italian sausage 95 percent.” As I was trying to add up and divide those figures, Ed, who is much better in math than I am (and from whom Alex has probably inherited his math skills), quickly confirmed the accuracy of Alex’s calculations.

Similarly, yesterday Alex was telling me that he had a “little voice” in June of 2004. Alex has a great fascination with people’s voices, especially those of children, whom he says have “little voices.” I suppose he was reflecting upon when his own voice changed. After I figured out how old he would have been in June of 2004, I commented that he would have been twelve and a half years old in June 2004. However, he corrected me by noting that he was thinking of when he was “12.482 years old.” Fortunately, he shows patience with my lack of mathematical precision, seeming almost bemused by my approximation.

At the restaurant yesterday when he was using my cell phone clock as a substitute for his forgotten watch, Alex noticed the message on the bottom of the screen and asked me what “232 service days left” meant. I explained that my phone service is “pay as you go,” and that I had paid for a year in advance and had that many days left before I need to renew my phone. He didn’t respond, but then he quickly said, “November 24th.” Ed and I exchanged a look and then realized that Alex had rapidly calculated back to the date I had renewed my phone contract. When he said that, I remembered that I had signed up for a year of phone service around Thanksgiving, so his comment seemed likely. A couple of minutes later, Ed, who had been contemplative, commented that Alex was right because he had mentally calculated to see if Alex’s date was correct. The two of them astonish me with how quickly they can figure out in their minds the problems I need some time and a calculator to solve. However, I am grateful that not only has Alex inherited Ed’s math skills but that he also finds using numbers entertaining and satisfying, a way to make sense of the world that sometimes overwhelms him.

“Great is the Lord! He is most worthy of praise! No one can measure his greatness.” Psalm 145:3

Sunday, September 16, 2012

Measuring


Alex makes sense of the world by numbers. Perhaps because words don’t come easily for him, he relies upon numerical values to quantify, rank, and understand how various elements relate to one another. Like a driver’s license, he requires vital statistics when it comes to people’s identities: age, height, and weight. Knowing a person’s blood pressure would be an added bonus for him. He’s even created his own system for defining people’s voices, based upon volume and pitch, which he calls “dropodos.” In fact, recently, he asked me to compile a list of people he knows so that he could assign each of them a dropodos value, and he reviews this list daily. Somehow this ranking he’s developed helps him to remember a quality he finds interesting about each person.

This past week, Alex has decided that he needs new measuring tools. One day, he asked me for a ruler, and when I brought him one, he told me that he wanted a red one. Since red is his current favorite color, I suppose his request wasn’t surprising. I think he just wanted a new ruler, and asking for something he knew we didn’t have was a way to get what he wanted. In addition, he decided he wanted “a really long tape measure.” Because I don’t want him to bend the tape or cut his fingers on a metal construction measuring tape, I had given him a sewing measuring tape made of plastic that was safer. Not satisfied with its five-foot length, Alex asked me to look for longer measuring tapes online. With a quick Google search, we discovered a quilting measuring tape that was like his sewing measuring tape but twice as long. Moreover, a little more searching revealed that our local Wal-Mart carried those 120” quilting tapes in stock for only about two dollars. I’m not sure what he planned to measure that was ten feet long, but he was delighted when we took him to Wal-Mart and found both a red ruler and the quilting measuring tape.

Besides measuring length, Alex also values measuring time. As I have described in previous blog entries, Alex loves clocks and finds the concept of time fascinating. A few weeks ago, he asked me to order a book on the history of clocks, and we found Time’s Pendulum: From Sundials to Atomic Clocks, the Fascinating History of Timekeeping and How Our Discoveries Changed the World on Amazon.com. This book seemed tailor-made for Alex, and when it arrived, he happily began reading about the evolution of devices that measure time. He even fell asleep that night holding the book. This week, my mom commented that someone who cares as much about time as Alex does should wear a watch. Over the years, we’ve tried to convince Alex to wear a watch so that he doesn’t have to keep asking us what time it is. Probably because of his sensory issues, or perhaps because he just likes to make conversation by asking what time it is, Alex has refused to wear a watch. However, this week, when I suggested that he might like to have a watch so that he can check the time himself, he was receptive to the idea. Once again, we went online, searching for an inexpensive watch that met his criteria—digital with time, date, and a chronograph, or stopwatch, function. I also knew that he would be particular about the texture of the watchband, so we found him one that had a softer fabric band with a Velcro closure he could adjust himself, instead of relying on us to loosen or tighten a buckle. With another trip to Wal-Mart yesterday, we found the watch he wanted, and he patiently waited for us to figure out how to program the watch for time and date (with directions that were about as complicated as those to defuse a bomb, I’m guessing!) and then proudly wore his new timepiece all day. When we explained that he couldn’t wear his watch in the shower or to bed, he seemed disappointed. Although we tried to convince him that he should put his watch on his dresser overnight, he insisted on sleeping with it in his bed, as he likes to do with his various prized possessions. As soon as he awakened this morning, he wanted help putting on his watch. Apparently, he has decided that wearing a watch is a good idea, after all.

Another more unusual request Alex has made this week goes along with his interest in measurement in a less obvious way. Earlier in the week, Alex asked me to find the story of Goldilocks and the Three Bears. Although I couldn’t find a storybook of that old tale I used to read to him when he was little, I was able to find the text of the story online, which he requested I print for him. Reading the story to himself was not satisfying, though, because he wanted me to read the story aloud to him, complete with the voices of Mama Bear, Papa Bear, Baby Bear, and the nosy little Goldilocks. (Actually, I’m somewhat surprised he hasn’t assigned these characters with their own dropodos levels.) Nonetheless, he asked me to read the story to him several time, each time smiling ear to ear as he listened to me say the characters’ lines with different intonations. His favorite line, however, was every time Goldilocks finally decided after two extremes that something was “just right.” Since he seemed to enjoy revisiting this story from his childhood, I found a copy of the book at Wal-Mart (while we were buying the red ruler and quilting tape measure, which meant our total cost for Alex’s current whims was only about five dollars) with nice illustrations for him to enjoy as well as the story itself. Several times a day, Alex brings me the storybook and asks me to read “the book about porridge,” and I’m pleased to fulfill his simple request, especially since it seems to bring him so much joy. Yesterday, he asked me if we could call the bears and Goldilocks on the phone, and I’m guessing that he was hoping to hear their distinctive voices. I had to explain to him that they weren’t real, but were just characters in a book. Fortunately, he took the news in stride, and I found his childlike innocence endearing.

In trying to analyze what Alex likes so much about Goldilocks and the Three Bears, besides my reading with the varied voices, I think he really likes the idea of “just right.” When we run water for his bath or shower or check his food temperature, Ed and I always make sure it’s not too hot or too cold, but that it’s just right. When we buy him shoes or clothes, we make sure they’re not too big or too small, but just right. When we find him a pillow for his bed, we know that it cannot be too hard or too soft; it must be just right. In trying to make Alex’s life comfortable and safe, he, like Goldilocks, has developed a preference for all in life that is “just right” and knows that measuring will allow him to know the extremes as well as the comfortable middle he has trusted us to find for him. Now he’s ready to find what is just right for himself. Of course, he knows we will be right behind him, guiding him, praying, and making sure that he can find the “just right” for all things in his life so that he may enjoy all the good things life has to offer.

“This will continue until we all come to such unity in our faith and knowledge of God’s Son that we will be mature in the Lord, measuring up to the full and complete standard of Christ.”  Ephesians 4:13

Thursday, June 17, 2010

Rating

Alex has a mathematical viewpoint; he would prefer to quantify rather than to describe. With people, he would like to look at their driver’s licenses to discover what he sees as the important facts: birth date, height, and weight. However, since most people do not want to reveal their ages and sizes, he has learned not to ask these questions. He once told me that he wanted to be a doctor because doctors can ask people how old they are, how tall they are, and how much they weigh without being considered rude.

He has even devised his own measurement systems. For example, he uses “dropodos” to rate how deep a person’s voice is. My mom and I have matching dropodos scores of 344, while Alex gives his dad a 600 and my dad a 646. He apparently now has the deepest voice with a dropodos of 681. Another system he devised years ago was the “car” ranking, which is based on distance and the number of turns we make in the car to go someplace. Going to my parents’ house, a ten-minute drive, is “car 9”; going to the university, a fifteen-minute drive, is “car 11.” A similar system he invented is for shopping. He notes how far away items are from the door. In Walmart, the yarn is farthest from the door; it gets an “86 miles away” ranking, while in Menard’s home center, the far-flung garden area is “75 miles away.” Alex understands the concept of actual miles; this is just his method for noting store layouts.

In addition to real and invented measurements, Alex uses percentages to compare and contrast. His favorite food, shrimp, rates 100%, while his second favorite, meatloaf, earns a 99%. Popcorn, his least favorite food, not surprisingly, rates a 0%. If he really enjoys an activity, he will eagerly tell us that he “liked it one hundred percent!” Similarly, he rates people’s qualities. For instance, he rates his dad as 95% smart, whereas I earned a 98% for intelligence. He gives himself a 99% smart ranking, and only God surpasses him as 100% smart. He is pleased that God knows everything and talks about asking Him questions when he gets to heaven. In another rating, according to Alex, his dad tops me in humor: Daddy gets a 96% for being funny, while I’m at 95%. Alex thinks he is not only smarter than both of us, but also funnier at 98%. He ranks my uncle—who is a funny guy—as the funniest human he knows at 99%; only God tops Bud at 100%. I like that he recognizes God’s sense of humor as well as His wisdom; I’ll bet that God smiles when He hears Alex recommending Him so highly.

“But even the very hairs of your head are all numbered.” Matthew 10:30