Take-aways from 1.19.16 English class

You may remember that I made a Google form to ask students what the “major take-away” of the class was and what question(s) remained after the discussion.

I give the responses below; at this point, I leave the lessons to be drawn from the responses implicit.

What was your major take-away from the discussion yesterday?
1 My major take away from yesterday’s discussion was not necessarily the specifics of what we spoke about, although that was also interesting, but more so an understanding of how to ask better questions.
2 I enjoyed talking about how the author’s work could be interpreted in both literary and philosophical senses. The interpretations one obtains from each, as we saw yesterday, are diverse yet simultaneously deep and thought-provoking (given someone takes the time to analyze the text/the text’s philosophy).
3 It became clearer to me how alienating it can be for an author to narrow his focus when addressing the reader.
4 How to deconstruct questions. What Socratic teaching really is.
5 Explore every aspect of a question analyzing eat word for its superficial meaning and any detonations or connotations that might be associated.
6 My major take away from the discussion was that I can better answer or at least discuss questions by asking questions about the underlying assumptions beneath those questions. I also learned that following the questions that stem from the original has applications in answering other, seemingly unrelated questions.
7 My major take away was that I read very impartially. For example, I do not feel very connected to the “you” the narrator describes being a male reader. However, I do not think I would feel anymore connected if “you” was addressed to be a blonde 18 year old girl. The “you” in the book has just become a name to me like “Mike” or “Jessy.” I did connect with the whole “books you’ve never read” and “you don’t expect much from life.” However, I think that it’s only a matter of probability that I would relate to one of the many descriptions of the reader that the narrator gives. Calvino’s style has not really been working for me.
8 I found most interesting the discussion on how to engage audiences. Particularly, the point on how details not necessary to the plot or point you are trying to make are key to engagement the audience. Certain details can alienate, and other include the audience depending, and thus some people relate better to the work while others don’t.
9

 

 

10

11

I thoroughly enjoyed our discussion of Calvino’s strategies in addressing the reader. I’ve always really liked when an author or narrator addresses me—I’m a sucker for fourth-wall breaking—and this was the first time I’d ever examined it critically.
Furthermore, I found the distinction of who Calvino’s “you” addressed.
Finally I really, really appreciated your tangent about political correctness. It was very well put, and expressed a lot of ideas I felt were true but never had actually put into words.
12 Language can never be completely objective. We as readers interpret the words put down by the author in the context of our own lives, so the message is slightly different for everyone. Thanks to our similar cultural contexts, the message will be very uniformly received, but there will still be that variation.
13 The major take-away was that asking questions and interpreting answers is different than memorizing information. The level of creativity and insight required in the former task is much more demanding than the simple mental effort involved in the second. The second should be focused on and developed in an effort to train the mind as a whole.

p.s. Mr. Ritter talked about this kind of thing in PDS class. Maybe y’all should confer since he’s all about tech and searches and stuff.

14 that “deconstruction” or Socratic questioning are useful or even vital methods for defining your interpretation of a text/situation and tend to yield insights not only about the text but also about the human condition and more prominently about yourself
15 Asking the right questions and deconstructing questions by considering the underlying premise of a question
16 To analyze the questions we are asked and then take it a step further and analyze our own answers.

Mostly to figure out what goes on in the world around us through active questioning and to inquire about the world rather than take everything at face value.

17 That if I hope to arrive at truths from reading, I must constantly question. Whether it be the intent of the creator of the work or how his work affects me, I should always respond the the work with careful analysis to help me discover new truths. Much knowledge can be gained from reading, but it is seldom superficial. Through questioning, I can discover truths that I would never have found in simply reading the text.
18

 

 

19

 

20

Deconstruct the learning process we’ve been taught. Don’t just know to ask penetrating, debatable questions, but know what the question itself already assumes. (Ie. Does it assume that you are engaged?)

Grow accustomed to one word (like “you”) having the capability of referring to multiple identities.

Perhaps in the past teachers have tried to better our characters, but so subtly that it went over my head. Yesterday, I noticed that you very clearly integrated a moral lesson, how to be compassionately politically correct, and even told us that you did so. Very much reminded me of the Cat and the Coffee Drinkers from seventh grade Riddell. And a bit of Calvino in how he very blatantly tells you what metaphors he’s using. Very cool.

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Asking Questions redux (part deux)

Having talked about today’s class in the previous post, I thought I’d write about what I’m going to do tomorrow as follow-up.

I’ll start with a two-question survey sometimes used in large college lecture courses (that I’ve occasionally used in the past without having found it terribly useful):

  • What major point(s) did you take home from yesterday’s class?
  • What unresolved questions do you have from yesterday’s class?

Then we’ll move on to the assignment below:

Two things that came out of yesterday’s class discussion were the ideas of

  • How do you evaluate the responses to your web-search questions?
  • How do you decide which questions to ask?

This exercise addresses both questions though primarily the first one

Let’s say you are asked (by a friend you want to impress, by a teacher whose respect you want, or by a teacher in whose class you want a good grade) to talk about existentialism tomorrow.

  1. What question do you enter and into what search engine/web site?
  2. Print to a pdf file and attach to an email to me the first page of search results.
  3. Look quickly over the search results and rank them by usefulness.
  4. If you decide the results weren’t what you want/need, pick a different question and repeat steps 1-4.
  5. Spend the rest of the period preparing your talk. Email me an outline (bullet points in order are fine), with references where applicable, to what you’ll say.  Write you’re your first couple and last couple of sentences, but in between, short bullets are fine.

Students will, I assume, take the assignment more or less at face value (which would be a worthwhile assignment even so).  But, like ogres and onions, I have layers.  So a handful of kids will get a different (albeit related) assignment.  On their assignment (I may make them work outside to avoid revealing the nature of the layer to their peers), I will give them one of the two questions below instead of letting/making them choose their own question:

quel est l’existentialisme?

¿cuál es el existencialismo?

If for no other reason (though there are some) than French and Spanish Wikipedias are different articles, not simply translations, from the English articles on the same topics, there will be differences in the results obtained from the three questions (the “What is existentialism?” and its translations)–I know because I have checked.

So, discussion the following day will evolve from the results of tomorrow’s exercise.  An easy extension would be to point out the feature of Google searches that lets you see what the results would have been had the searches been conducted in another country (even in English).

A second extension would be to give the Spanish and French questions as is to students not familiar with the languages so that they’d have to have their browser translate (or use some other online translator) as an intermediate research step.

Lots of potential, eh?

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Asking Questions redux

On an in-class prompt for a senior English class, one of the choices last week was

“What is the most striking stylistic aspect of Calvino’s novel If on a winter’s night a traveler… and what is its effect on you as reader?”

One student wrote on the idea that Calvino’s use of direct address to the reader made the novel immediately more engaging for her than anything else she’d ever read (for school, maybe).  From that comment stemmed our entire class today.  I asked the class what, assuming the student’s observation was generally true for most readers, would be the downside of such engagement?  And why?  (The idea was that if something is generally accepted as true, perhaps we should start thinking about when it wasn’t or whether the “good” of reader engagement was automatically unalloyed.)

Following from that question, I asked a sort-of-traditional-English-class question of how Calvino gets the reader engaged,  what the implications of the question were.

Then I asked the class to deconstruct the question I’d just asked (in other words, examine the hidden implications of the question–the dominant one being that in fact Calvino does get (most) readers engaged).

And then, after a short side trip to what deconstruction (viz Derrida) and Socratic questioning were (and for the latter, was not), we came back to the “How does Calvino get you engaged?”

I said that “He doesn’t” was, while possibly accurate, nonetheless a snarky response rather than a legitimate one since we’re assuming for the purposes of discussion that his writing does do so in general.  So, in such a case, the question becomes, “Well, even if it didn’t work for you, how does it probably work for those for whom it is effective?”

The next question was “who is you?” in the question of “How does Calvino get you engaged?” (more deconstruction…)

Then, moving to the “how” part, I elicited from them the observation (by referring to the advice they’d been given on writing college essays, among other things) that use of detail–the “show, don’t tell” approach–was a common device for achieving verisimilitude (and taught them that word as well, ahem).

We were only now, perhaps, ready to go back to the original question of what the downsides to reader engagement might be.  I was thinking of the question from the standpoint of the reader, but someone pointed out that there could be downsides from the author’s perspective as well.

That observation leads to two conclusions:

  • Questions need to be general enough to allow for answers the teacher didn’t intend;
  • Teaching the same work (even many times over the years) can continue to be fun because you can get different student insights each time you teach (assuming the first bullet point).

In another side note, we talked about Calvino’s use of “you” and “I” as characters in the first few parts of the novel and about how each of those uses had the potential both to  draw the reader in and (in another way) to push the reader away.

There was much reflection, mostly but not entirely by me, as to the value of this sort of reflection and questioning not just of other’s ideas but of one’s own.  A couple of people snorted when I pointed out that much of the material we’d discussed was an elaboration of the original questions I had of the student’s assertion in her essay–and that I felt a good teacher (technically, I suppose, a good assessor of student work) would be having these questions occur while reading student papers.

(It’s possible such comments contribute to one aspect of my reputation…)

An example of how reflection and questioning can serve real-world ends was my statement about how I dislike the use of the term “PC” (for “political correctness”) and how I see it as a matter of compassion (one of the students used the term “respect”) for others rather than a mere social convention.  I illustrated that opinion with a story about changing the St. John’s teams’ nickname from “The Rebels” to “The Mavericks.”

The class ended with my pulling everything together (the meta-lesson, actually, about the value of reflection and questioning) as I asked, “So, given that you can find the answer to any question you can ask on the internet, what’s the value of classes like this one?”

There were a few interesting responses, including

  • learning how to analyze and reflect to examine the search-engine results from internet questions

I agreed but asked for a more fundamental issue (which I finally got):

  • Learning what questions to ask

I find the second response to be more fundamental in the sense that it does not presuppose the implicit assumption in the original question–which is that we can already ask “the right questions.”

I don’t know how many teachers are comfortable with the question “What value do you bring to your class?”  though such a wording is essentially a rephrasing of my class-ending question. But I suspect that the most lasting answers will often involve one or the other of the responses of my students that are presented above.

 

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“Ask a teacher”

A confluence of events this week prompts this post.  The first was an email about a workshop on “Advanced Geometry” that I’ll be going to in Santa Fe this sumer.  The tagline for the meeting was

The most common misconception about mathematics is that it is aboutnumbers. In fact, mathematics is about thought, and no one knew that better than the greatest geometers of all time: Euclid, Apollonius, Descartes, and Lobachevsky.

I wrote back to the workshop leader and said that I wished more math teachers agreed with that sentiment.  His reply was

I think that is one of the things that makes it a frustrating subject to teach because when a kid is struggling with math, they are struggling with the most basic elements of thought.

And yet, I have a number of colleagues who’ve said over the years that they liked math “because it has answers.”  The “finding an answer” aspect of math is, to me, somewhat like studying grammar and thinking you’ve learned the essentials of literature…

The second event was an interaction with one of my best Differential Equations students this morning.  I had a question on a midyear-exam review sheet, and he came in, saying, “This question seems simple, but when I tried to answer it I couldn’t.  It’s not as simple as it looks.”  So, I asked him, “What do you do when you see a problem you can’t do?”  One of his colleagues sitting nearby said, “Ask the teacher.”  His classmates laughed, and I bopped the smart-ass on the back of the head, whereupon he, too, collapsed in laughter.

The question essentially said, “You know how to get to C given A and B.  But what if you were given C?  How could you find A and B?  And are the A and B you found the only ones that would work, or would A’ and B’ perhaps also give C?”  So, in essence, it was a “working backwards” problem.

No-one in the room had a good answer to the student’s implicit question of “how do you do this question?”  So, I said, “Well, you know the general process you’d use to work out this problem.  So, pick a specific example, work it out the way you know, and then try to see the correspondences between what you know how to do and what you were asked to do.”  The really good student just stared at me blankly for a moment.  I said, “Well, if you don’t like that approach, how else could you do it.”  Student:”I don’t know.”  Me: “When you’re lost, I think simplifying the problem, or doing a specific example and trying to generalize, or reasoning by analogy are very powerful, general teacchniques.”  He finally said “OK.”

Granted, I often used to have students in the precursor course to Differential Equations, so they’d had a year to get used to thinking in these sorts of way before they came to this course, but I am still pretty appalled that a very good student–one of the best–in our top-of-the-line math program could be reduced to the “I don’t see how to do this problem right away, so you have to help me” mindset so easily.

Given that most people honestly don’t need more than Algebra I in their adult lives, why are we teaching the large majority of students topics/algorithms they’ll never need to know and not spending more time teaching them “how to think mathematically”?  Or even just think in general?

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“learning to learn”

A number of us, and I think the School as a whole, say that one of our major goals is to “have students learn how to learn.”  IF such is the case, then it occurred to me a number of years ago that we should be assessing the learning process, not simply the results of the process (which is, I think what a very large number of our assessments do in all subjects).

It’s also the case that one can scarcely justify (in my opinion) the frequency of our testing unless there is learning going on during at least some of the testing.  Such an idea has some (albeit perhaps limited) currency in the educational world outside St. John’s.

While I’ve made these kinds of assessments in the past, I have tended recently (with one exception) to avoid them.  As some of you know, the climate in the US traditionally, and particularly under Hollis’s predecessor, has not (at least in my experience) encourage innovation or risk-taking….

However, nothing loath, I have decided to again be “innovative” in regard to at least some assessments. SO….

Humanities people, do NOT stop reading here!

Today in Differential Equations, I’m giving a group test.  Students will work in pairs, and they are given a handful of questions only.  The basic concept of the test is one on which they’ve been working for two or three weeks.  They’ve had a quiz (just to see what they hadn’t yet mastered at the time, which is the point of quizzes in that course) and a review sheet they’ve been working on the last couple of days.

What’s somewhat different is that at the bottom of the review sheet they got Tuesday, and I called their attention to this in class, is the following statement: “Note: If you want to take a group test Thursday, you should familiarize yourself with the method of Frobenius, which will help you solve many differential equations for which the regular series solution method (that we’ve been studying in class)  fails.”

So, they needed to research this “method of Frobenius” outside of class (undoubtedly on the internet) simply in order to be prepared to take the test.  As may be implicit in the bold statement above, it is an extension of the same basic idea on which they’ve been working for the past two weeks or so.

On the test, I am supplying them with the skeleton procedure of the method, so they did not need to memorize it, merely to acquaint themselves with it.  I think that’s important.  Memorizing  is not a synonym for learning (in my opinion).

Students who find the test too hard or who don’t do well on it have the option to go back and take a more traditional, individual test.  So, as I’ve pointed out when there was also a group test option for the last test, the only thing they’re really risking is time–not their grade.  Unusually, this year everyone has opted at least to try the group test on both occasions.

Interestingly, some people tend to do better on the group tests and some on the individual tests, so in some senses this approach allows them to play to their strengths.

dwight

PS Note that only questions 4 and 5 on the test are typical “find an answer” questions.  The others ask for reflection and analysis about why and how.  Even, God forbid, for speculation .

Link to the test here

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NYT plea for “Lecture me. Really.”

A friend sent me the following link about the value of lectures in the humanities.

http://www.nytimes.com/2015/10/18/opinion/sunday/lecture-me-really.html

My response follows.

———————————–

I get the point, and I do agree that lectures can be good in certain contexts, but the professor who says lectures are important for teaching in the humanities is flat-out wrong in my experience.  The small-group discussions that she says supplement the lectures are important, but the best humanities courses in my experience are very small ones where students can interact with the teacher and get questions answered during an engaged interchange.

Large lectures are efficient ways of conveying information, and they make teaching take up a much smaller part of a professor’s time than would several smaller, discussion-sized sessions–which is why universities like them.

And apart from entertainment value, a lecture where you can’t ask questions is simply a slower delivery of content than reading the same material.

I totally agree that note-taking is important because of the analysis that goes on, perhaps unconsciously, as one writes.  And that writing something down helps facilitate its retrieval.  But we can also teach students to take notes on written material.

 I also agree that Socrates’s showing that knowledge is internal to us and only needs to be drawn out is crap.

Reflecting on what was said rather than preparing what one wants to say next is certainly a great skill.  Lectures don’t provide it, however.  Most of my friends in lecture courses may have taken notes, but the discussion sessions that supplemented large lectures could just as easily have been discussions about readings rather than lectures.

None of those facts/observations supports that large lectures are a good way to do anything but provide entertainment.  Which, I suppose, is not devoid of worth if it’s the only way you can get people to take a class.  But let’s not sanctify it as though it had mystical powers.

“Learning by doing” in the humanities is, perhaps, thinking, reflecting, writing, discussing.  From that standpoint, they’ve been doing “learning by doing” for much longer and much better than math and science.  But at its very best lecturing is only one small component of that process, and far from the most important one.

I still maintain that large lectures, while efficient, are essentially a sign of a program in which teaching is far from the most important component of a “professor’s” time.

To me, the better argument would be that in preparing a good lecture, a good teacher does much synthesis and analysis of material that no “internet research” can easily copy except in the hands of one already experienced in research.  That, to my mind, is the value behind a good lecture.

 

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Public ignorance

This week, I learned the value of public ignorance (or, perhaps, relearned it).  One of my math students wanted to complete a proof by saying, half-way through, “Since all these steps are reversible, just reverse them for the second half of the proof.”  He asked me if I would let him do so, and I replied, “Certainly not!”   There was a little more give-and-take, but unless you’re into math, you know all about the situation you need to know for this story.

I posted his comment/request and my response on Facebook, and soon former students took me to task.  Some said they’d heard of the approach before.  My response was that it might do for a class discussion (something along the lines of the infamous “the rest of the proof has been left as an exercise for the reader” line), but it would not be accepted in a formal proof.

One guy, now a teacher himself, then started covering my wall with examples of the approach’s use in published journals.  None of the journals he mentioned was at the level of PNAS, but still…

As a result of my post, I was shaken from my complacency (and either complimented or insulted, depending on your perspective, when I was compared to Weierstrass), but I have now learned something I wouldn’t have otherwise known.  Not just digging in my heels and upping the ante by saying “those journals aren’t rigorous enough to budge me from my position” when the evidence started accumulating against my point of view led me to new knowledge and a slightly more open mind.

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“If you can Google it…”

the apodosis being some variant of “why teach it?”   While the sentiment may serve as a useful rallying cry against teaching that would have been out of date twenty years ago, no less today, it is nonetheless annoying–perhaps because it’s simplistic, perhaps because it’s prima facie rhetorical rather than reflective, and perhaps just because (when addressed by a speaker to an auditorium) the implication is that we’ve all bought into the mindset it challenges.

However, I’ll briefly adopt my frequent tactic of answering rhetorical questions (which is why I suggest my English students not use them in their writing) in response to this putative query.

So, in no particular order except the order in which they occur to me:

  • because context is important
  • because, as in Borges’ Library, you can find every sentiment as well as its contradiction on the web
  • because flat-earthers, Holocaust-deniers, and white supremacists also have Googlable web sites

There are other points to make, but these three seem to sum up the triviality of the new rallying cry…

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“Looking up” and “learning”

There’s a lot of talk around (mostly by consultants and bloggers, but still…) about the “looking up” vs “learning” approach to teaching.  It seems to me there are three basic approaches to this question (albeit a large number of shadings in between):

  1. Never make students memorize something they can Google (courtesy of our ISM consultant).
  2. Thinking requires material about which to think, so certain basics must be memorized in order to have a foundation for higher-order skills.
  3. Looking things up is a shortcut that replaces thinking when allowed, and therefore it shouldn’t be.

Let’s look at these in some sort of context since almost nothing in life is absolute (ie, non-contextual).   Readers should be aware that some of the material in this post is designed to be provocative and only represents the first step in some musings of the author.  The questions may come across as rhetorical without being so…

  1. First point:
    1. Certain things do have a time value. Those who can interact successfully with others generally have an advantage over those who can’t.  Having to look up who is president, for instance, is going to make you look stupid (and undesirable as a friend or colleague) regardless of how easy the look-up is.
    2. Academically:
      1. you can have geometry students look up (I suppose) the proof of any proposition you give them.  Does that mean having them work through how to prove something is pointless?  Only if the proof itself rather than the process of learning to prove is the desideratum.  There can’t be too many people left who would argue for the former.
      2. Biology teachers sometimes claim that a large part of introductory biology is “learning the language of biology.” Does such a claim justify massive amounts of memorization of vocabulary that students fairly quickly forget?
      3. Moving to the analogue, how much vocabulary and of what sort should world language students learn—especially in light of advances in Google translate and apps such as DuoLingo?
      4. What do survey courses provide (in any discipline) now that everything they teach can be easily looked up?
      5. Given that we already know that many students brag about not reading the “required literature” in English classes, what is the point of having students study literature? What’s really important to people who are not going to be literature majors and thus who don’t come to the subject with a predisposition to like it?
  1. Second point:

It’s hard for me to argue against this one in spite of ISM’s claims.  I suspect the question is (as it usually is) one of balance.  Most of the “academic” questions from the previous section could be presented here in a less confrontational format.

  1. Third point:

Some form of this justification has been used by teachers for (literally) millennia.  Whatever the merit of its argument in the past, the number of people who cling to it today is declining as the people who tend to hold it most strongly are tending to retire (to paraphrase implicitly one of Thomas Kuhn’s points).

One of the points in its favor is that experts in a field have a body of knowledge they’ve acquired that they don’t have to look up.  This argument is sometimes used as a counter to the “every adult uses the internet to look stuff up all the time.”  Each has some merit, which brings us back to the second point in our original list.

If we really wanted students to mimic the behavior of adults in the “real world” (and I would say it’s arguable the extent to which we should do so), we’d require them to become experts in some sub-field of each course and simply knowledgeable about the other parts of the field.

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Panthers

black_panthers

Panthers

In order to help me keep my resolution to be educationally bold next year, I’m forming what might more professionally be called a professional learning committee (but which might also be considered my personal support group).  It’s a group of at least somewhat like-minded people who will help me think about innovative approaches to things in the innovative classroom.

Almost everyone seems to believe that a good gimmick (alliteration is a favorite, for some reason) or cool acronym is necessary for the success of any new educational initiative. Who am I to disparage the wisdom of the masses?   So, my group has a cool name (the Panthers), a cool visual (see above–very necessary in the 21st century, I”m told), and a cool acronym:

C A T

Creative                                  Analytic                               Technical

Students are expected to show competence in all three areas and mastery of one.  (Definitions of “competence” and “mastery” to be defined later and will vary by grade level and course.)

But here are some examples:

Literature–In the study of Hamlet

Creative    Writing a strong opening scene for a production to appeal to 21st-century teenagers.

Analytic  Writing an analytic paper on the way in which Hamlet is a Hegelian tragic hero.

Technical  Taking someone else’s paper and editing it to be technically flawless.

Math–In the study of Geometry

Creative    Making a user-controllable demo in Mathematica, Geometer’s Sketchpad, or Java for an important concept..

Analytic  Writing a Wikipedia-type article that explains, with diagrams or animations, an important concept or theorem.

Technical  Taking a proof or sketch of a proof and editing it to be technically flawless, with appropriate annotations.

 Science–In the study of Chemistry

Creative    Devising a new demo to show an important concept or an experiment to test a falsifiable hypothesis.

Analytic  Writing a literature-search-type article that explains, with diagrams or animations, the current state of thinking on a chemistry topic (possibly an educational or chemistry-teaching one) including important previous work that leads to the “state of the topic” today.

Technical  Performing a demonstration or set of laboratory procedures until they can be done quickly and as close to technically perfectly as feasible.

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