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Lost in Math (or Eye Rolling about Big Thoughts)

Sun, 29 Dec 2019, 09:41 AM (-06:00) Creative Commons License

A book: “Lost in Math” by Sabine Hossenfelder (who blogs at BackReAction). A quote…

“How patently absurd it must appear … that people get paid for ideas like [those of Xiao-Geng Wen and his collaborators]. But then … people also get paid for throwing balls through hoops.” (p. 192)

Let’s explore this a bit.

Big thoughts about physics: To give you an example of what Hossenfelder is alluding to when talking about his “ideas”, listen to Xiao-Geng Wen’s description of his ideas (at 5:36): “Maybe our space is a string liquid, and we live in a noodle soup.”

Big thoughts about basketball: To give you an example of Hossenfelder’s point about “hoops”, listen to Coach Daniel’s description of the clearout: “which occurs when the big man … on offense … clears out the rim-protecting big man on defense”.

For better or worse, as much as this kills me to concede, you shouldn’t roll your eyes at one of these without rolling your eyes at the other. We should take Hossenfelder’s observation as a precaution against such one-sided eye-rolling.

His Father’s Writing

Sat, 28 Dec 2019, 05:43 PM (-06:00) Creative Commons License

“Do you read your father’s writing?” she asked. 

There was silence. I stared at my hands. I knew the answer. She had to ask again.

“Do you read your father’s writing?”

He shook his head. Mumbled a no. She asked why.

“It’s just too weird,” he said. She asked why. He talked about being the subject and reading about himself.

It’s true, that he used to feature prominently. Biking and running on the trails. Camping trips. But that was when he was young(er). It has been a very long time since he’s appeared here.

Oops.

Eye Contact

Sat, 28 Dec 2019, 12:49 PM (-06:00) Creative Commons License

1. On Eye Contact

In Switzerland, I understand, it is considered poor form to toast someone without making direct, intentional eye contact with them. Having been told this, Trudy and I have adopted the habit. Whenever our glasses meet in cheer, so do our eyes — intentionally, with the unspoken knowledge that we are following the Swiss tradition.

But of course, eye contact is more than a Swiss tradition. You might argue that it’s part of being a decent person. Acknowledge those around you. Greet them with a smile and a sparkle in your eye. You might argue that it’s just good manners. If so, count me as rude, for I find eye contact hard to initiate and difficult to maintain.

I am not alone in this. But as the years go by, I find that even I yearn for a glance from a neighbor driving by or a nod from one of my students in the hall. As you might imagine, getting eye contact from teenagers in the hall is a dicey proposition. 

Perhaps making eye contact is just something that needs to be explicitly taught. If so, and given that I am a teacher, then perhaps this responsibility falls to me.

2. Making Eye Contact with Me

“When you are done with the final,” I said, “please put it in the purple tray by the door, and return to your desk.”

“And if you want to use your phones, first make explicit eye contact with me.”

That was simple enough. And in the end, all of them did as I asked, in all cases catching my attention and motioning silently so as to ask if they could use their phones — in all cases but one.

This student is one of the best. Scores high. Understands well. Asks questions. Takes good notes. So it was no surprise that she also followed my instructions — followed them to a tee.

At some point during the final, I looked up and noticed her silently sitting, hands on desk, head turned, eyes focused on me. When I saw her and she saw that I saw her, her eyes widened slightly, but she didn’t move, didn’t make any gestures, just stared more intensely, impeccably following the instructions I had given: “Make eye contact with me.”

Eye contact having been made. The protocol had been followed. She knew it. I knew it.

I smiled and nodded my head imperceptibly. And with this signal, she reached into her backpack and pulled out her ear buds and phone.

Three x minus nine

Fri, 27 Dec 2019, 10:18 PM (-06:00) Creative Commons License

“Three x minus nine?” I heard one of the guys say.

There were three of them huddled together near the classroom door. The semester was drawing to a close. Our last lesson with new material was behind us. What remained was a day or two of review and then the final. These guys were taking the review days to heart.

“Three x minus nine? You mean three x equals nine, don’t you?”

He got up from their huddle and walked to the whiteboard to look at the details in my worked out solutions to the semester review packet they were working on.

“Ooooooh,” he said as he looked at the solution. “You switch the x and the y.”

I never did figure out exactly what the confusion was, but it doesn’t matter. I stood silently and watched as he turned, returned to their huddle, and explained to them whatever it was that he learned. I think that counts as a victory.

Automating Inequality

Fri, 27 Dec 2019, 10:27 AM (-06:00) Creative Commons License

A book: “Automating Inequality” by Virginia Eubanks. Some notes…

The book is a remarkably specific, in-the-trenches look at the role that automation is having in our country, how despite its patina of objectivity, the technology is contributing to a new kind of growth of inequality in American society. 

The argument is based on three case studies: (1) an Indiana project to automate the determination of eligibility for social services, (2) a Los Angeles system to categorize the homeless and provide relief, and (3) an Allegheny County Pennsylvania system to algorithmically assess the risk of child neglect and abuse.

The narrative of these case studies weaves together stories of specific people with more general historical and policy observations. It is an effective way to make the big points without losing the audience. Sadly, losing me as the audience is a real risk. I was able to make is all the way thru the book — a testament to the effectiveness of its narrative perhaps, or maybe a sad exception on my powers of concentration.

There is a chapter that reflects on the nature of what the author calls the “digital poorhouse” that is perhaps the biggest take-away for me. Her summary goes something like this…

(1) At root, Americans believe in three things: liberty, equity, and inclusion. (2) Liberty can be thought of in two ways: freedom-from and freedom-to, and the digital poorhouse diminishes both. (3) Equity can be thought of in two ways: equal treatment and equal value, and the digital poorhouse diminishes both. (4) Inclusion can be thought of in two ways: assimilation into the broader culture and integration of our whole selves, and the digital poorhouse diminishes both. I really like this analytical framework, although I might argue with the author’s premise that these are in fact the core values Americans hold (even granting that they might be implicitly held), but that’s not a useful argument to launch into, here.

The concluding chapter addresses how we might “dismantle” the digital poorhouse. I haven’t read it, yet.

Ok, so that means that I have not yet finished the book, and so my lame powers of concentration might yet catch up with me. Wish me luck.

Color Aberration

Thu, 26 Dec 2019, 08:50 PM (-06:00) Creative Commons License

We had gone thru a page or two of notes. The usual routine: daily topic at the top, underlined with a straight, black line; objectives next, with the word “objectives” underlined with a squiggly line; same with “vocabulary” next. And so on. To the more observant of the kids, there’s a pattern to these notes. Of course, this is not an accident. 

Brianna (not her real name) is an observant kid. She notices patterns. And shapes. And colors. I suppose that she depends on them as beacons of familiarity in the daily stream of new math.

“Mr. Hasan,” Brianna said, “you forgot to underline Example 1 with a squiggly line.”

I looked at my notes. Indeed I had forgotten the usual squiggly line. I looked back at her with wide eyes.

“You’re right,” I said. And I picked up a blue pen and added the squiggly lines. 

“Nooooo,” she wailed in mock pain. You see, I never underline in blue. Always in black. She knows this. And I knew she knows.

I handed the page to her (because we were about to move to a new page, and she had asked for the page so that she could copy down the last few lines, complete with the correct colors — meticulousness has its costs).

And so class continued. But there’s this…

When the bell rang and she handed that page back, I noticed that my blue squiggly line under Example 1 had been squiggled over — in black. The had fixed my color aberration.

Adopt-a-Family

Sun, 8 Dec 2019, 10:25 AM (-06:00) Creative Commons License

1. Adopt-a-Family

In years past, as successful as Adopt-a-Student day was, it was a bit awkward for adopted middle school kids to take their gifts home when none of the rest of the household would have anything. Nothing for the brothers or the sisters or the parents. So this year it was Adopt-a-Family.

Each person in the adopted families filled out a wish list (something I need, something I want, something to wear, something to read). Marco (not his real name) was a nine year old student. We adopted his family. There were five of them in all.

Under “something I want”, Marco had written “a drawing tablet”. Under something I need, he had written, “sketching pencils and paper.” Obviously we needed to get him drawing supplies. My students quickly volunteered for these and all the other items on the family’s list.

2. Marco and Marco

It’s the drawing supplies I want to talk about.

Our adopted Marco was clearly a budding artist. And as it turns out, I have a budding artist in that class whose name is also Marco (not his real name). At the end of class, I went up to his desk and kneeled. He was sketching something, as he almost always is. He looked up.

“Did you notice that Marco likes to draw?” I asked.

He smiled and nodded.

“Would you please make a point to talk to Marco about drawing and maybe give him your sketch?” I pointed to the corner of my whiteboard where I post student artwork. A big sketch of his has been taped there prominently for several months.

He smiled broadly and nodded.

3. That Morning

I was nervous on the day the family was supposed to come to our room. We had only had two days to get the gifts, and there was no room for procrastination or forgetting. On the first day, the students signed up for gifts and snacks to bring. On the second day, only one student had brought anything in — Oreo cookies. So on the morning of the day the family was going to arrive, I brought a wrapped sketchbook and pencils just in case no one brought anything — at least we’d have some drawing supplies for Marco.

As it turned out, I didn’t need to be nervous. These kids take this Adopt-a-Family thing seriously. First of all, they had been adamant that our class should adopt a family. Secondly, it took no time at all to get someone to volunteer for absolutely everything on this list. And finally, before school started on the morning of that day, my students started filing into the room to drop off their presents — all of them wrapped, some of them accompanied by other presents beyond what had been on the family’s list.  

4. Gift Giving

It was chaotic that day. (Originally the wrong family was brought to our room. Our Marco showed up at the beginning of the period instead of the 30 minutes at the end when we expected him, meaning no decorations were up, yet. Our adopted Marco came in only with a host “elf”. His family was not with him.)

But my students passed out the cookies. And they poured the orange juice into glasses one of them had brought. And we had Marco open the present with the sketchbook. And then the pencils. And we began putting the other presents to the rest of his family into big boxes.

And then Marco’s mom arrived. Although he spoke English, she did not. So my students translated. They made sure she knew that we had a gift receipt inside the card. They made sure she knew there were names on each of the wrapped presents. We gave her the boxes heaped full of gifts.

And before we knew it, 30 minutes was over, and Marco, his mom, the elf and two other hosts left our room, trying to figure out how they were going to carry all that booty out to her car.

 5. What Marco Gave Marco

Afterwards, I walked up to my Marco’s desk and kneeled. He was sketching something, as he almost always is. He looked up, smiling.

“Did you get a chance to talk to Marco?” I asked. It had been such a whirlwind that I hadn’t even made sure.

He nodded. And he took out his phone and showed me a photo of a new sketch that he had given to young Marco. It was a full notebook-sized sheet of paper. A pencil sketch of a Christmas tree filled the page. The tree filled the drawing, but there were sketched presents around it and a gray hazy fuzziness that perfectly captured (almost in a Norman Rockwell sense) the feeling of Christmas morning to a little kid just waking up.

Marco said he had given the sketch to Marco. And they had talked about it. Young Marco had told big Marco how he would draw a Christmas tree. And they had talked about drawing styles.

These are really good kids.

In Third Person

Sun, 8 Dec 2019, 09:10 AM (-06:00) Creative Commons License

I don’t know what they were talking about.

Maybe it was the red and green streamers that several of the boys had put up in the room. Or maybe it was the fancier streamers that several of the girls had put up on the other side. Or maybe it was something about the cookies we had. Or the juice. Or all the wrapped presents we gave to the family we adopted this year, how they filled three big boxes to overflowing. Or maybe it was just some nicety at the end of class after the bell had wrung. I just don’t remember.

One of the boys was talking about something I had done. Or something I said. I just don’t remember. But it was something about me. He said, “Mr. Hasan just …”

And although I was not part of the conversation per se, seeing as they were only four feet away, I said (without looking up from the late homework some other student had just given me), “Yes, Mr. Hasan did.”

Then one of the other boys said, “Mr. Hasan just used the third person to refer to himself.”

To which I said, “Indeed he did.” The boys laughed.

Hot Pastrami Sandwich

Sat, 7 Dec 2019, 10:18 PM (-06:00) Creative Commons License

“Can I ask you a question?” 

She was making me a hot pastrami sandwich, which is the special this week. I had told her I was a math teacher to justify the book I had been reading while I waited in line, and it evidently made her think of something.

I looked at her, a bit surprised. “Sure.”

She set down the bread and her knife, and she held up her hands, making a circle.

“So how much area does a sphere make when it touches a flat table?”

“Well theoretically it is just a point,” I said, “so there’s no area.”

She nodded as if perhaps that was what she was thinking. Or perhaps there was some kind of bet.

“But in practice…” I added cautiously because I am apt to wax theoretical and overlook all practicality (as anyone in my family will tell you). “In practice there’s a small flat area.”

And with that, I took my hot pastrami sandwich, selected a bag of sea-salt chips, and found a table in the corner. 

As I sat down, I grabbed a book off the book sharing shelf by the door, “Fundamental Principles of the Metaphysics of Morals” by Immanuel Kant. Never read Kant. What better time than while eating a hot pastrami sandwich. I opened the book and started reading the preface where I was told

We may call all philosophy empirical, so far as it is based on grounds of experience: on the other hand, that which delivers its doctrines from a priori principles alone we may call pure philosophy…

I wanted to take the book to her. To show her those words. To warn her of the purely philosophical answer I had given her. To caution her on my complete lack of empirical experience with spheres sitting on tables. I wanted to. But I thought better of it and ate my hot pastrami sandwich, instead.

Winter Concert

Sat, 7 Dec 2019, 06:23 PM (-06:00) Creative Commons License

It was dark in the auditorium when I got there. There were lots of people, but it was quickly obvious that this was because the Intermediate School band was performing in addition to the two High School bands. In spite of the traffic, I had made it in time.

Surrounded by darkness and in hopes that my late arrival would not upset too many parents, I turned left and went up the stairs to sit near the top. I made my way to sit down in the middle of one of the empty rows. With my eyes beginning to adjust, I saw an arm go up and what appeared to be a smiling face looking in my direction. Then another arm above another face. Then another. And another. Perhaps a dozen in all.

My students had spotted my arrival and were clearly forgiving of their teacher’s tardiness. 

These are good kids. Really good kids. They get to class on time (mostly). They smile. They listen. They answer questions. They ask questions. They work (sometimes). And of course, as band kids will, they love being in the band.

And at this moment, they were generous with their applause and whistles and hoots of support for the younger kids on stage who were playing quarter and half notes with only a few squeaks and squawks.

I am so proud to be their teacher.

© jumpingfish by David Hasan is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License