Showing posts with label reading. Show all posts
Showing posts with label reading. Show all posts

Saturday, May 9, 2009

Problem Solving

The comment from FUG led to a nice little blog about chemistry with a clever title, although I hope his future is centered on experimental UNCERTAINTY rather than experimental ERROR!

For some reason (my money is on a bug due to use of M$-specific java crapware), I can't comment on blogger driven blogs that use "comment_from_post_iframe.js" like his does. It simply does not recognize my selection of the pull-down menu. As a result, I will comment here on one of his recent articles. Another article, an undergrad's view of the chemistry -v- physics "fight", has potential as a jumping off point for a look at why so many engineering students dislike chemistry. What "type" of person prefers one over the other?

Here, I want to look at his article about a basic static equilibrium problem of a beam and a mass.

He gets off to a pretty good start, drawing a nice, clean free-body diagram. That is essential, and the only thing missing is the location of the center of mass of the stick and the fact that an unknown force "mg" acts there.

But his next step is not the most important one. Rather than notice

the fact that the meter stick isn't moving

and identify the problem as a STATIC equilibrium problem (with the implications that net torque = 0 will likely be used to solve it), he grabs the equation for accelerated motion and worries about the moment of inertia of each object. That would only matter if the same situation was described, but you were told the angular acceleration of the system at a particular moment. (That would make a good problem. Make a note of it.)

His "simplest solution", using the fact that the system's center of mass must be over the support point, is equivalent to solving the net torque = zero problem. (Another mental note: I need to point that out, because we encounter those two ideas at rather different points in the course.) The key to finding that solution is at the very start, when classifying the problem type. That step is triggered by the key words "it is balanced" in the question.

That is where "critical reading" enters the problem-solving game.

And I happen to think that it is more important to spend time on "critical reading" as a component of problem solving than some of the tricky concepts. But that is the subject of the yet-to-be-written next blog entry.

Aside:
Regarding the observation
The human mind can only compute so much.

I can only say that I agree, but the limits on it are the result of training, experience, and focus. For example, when fully immersed in the problem, I know I can hold the essentials of about 10,000 lines of Fortran computer code in my head (along with all of the associated physics), but can only manage parts of a 100,000 line code in that way.


Read Entire Article......

Wednesday, July 23, 2008

The Big Read

This meme concerns the NEA Top 100 book list, via Swans on Tea and Faraday's Cage, from Abbi.

There is also a BBC Top 100 list that I might do, since I might have read more of those. They list the Harry Potter books separately, as they should. This list double counts, since Hamlet is part of the works of Shakespeare.

The rules
1) Bold those you have read.
2) Italicize those you have started but haven’t finished.
3) Place an asterisk * by those you intend to read/finish someday.
4) Mark in a different color the books you LOVE. [not done]

Updated: I put a trailing "++" after the ones I really love.]

PLUS Like Swans on Tea, I put a dagger † where I've seen the movie without ever bothering to read the book, often because I've seen the movie enough to be as literate about it as those who read the book.

Wow, I've read almost one quarter of them! (Mostly not for school.)

1 † Pride and Prejudice - Jane Austen
2 † The Lord of the Rings - JRR Tolkien
3 Jane Eyre - Charlotte Bronte
4 Harry Potter series - JK Rowling
5 To Kill a Mockingbird - Harper Lee ++
6 The Bible [And I never intend to read the begotcha books]
7 † Wuthering Heights - Emily Bronte
8 Nineteen Eighty Four - George Orwell
9 His Dark Materials - Philip Pullman
10 Great Expectations - Charles Dickens
11 † Little Women - Louisa M Alcott
12 Tess of the D’Urbervilles - Thomas Hardy
13 Catch 22 - Joseph Heller ++
14 Complete Works of Shakespeare
15 † Rebecca - Daphne Du Maurier
16 † The Hobbit - JRR Tolkien
17 Birdsong - Sebastian Faulks
18 Catcher in the Rye - JD Salinger
19 The Time Traveller’s Wife - Audrey Niffenegger
20 Middlemarch - George Eliot
21 † Gone With The Wind - Margaret Mitchell
22 The Great Gatsby - F Scott Fitzgerald
23 Bleak House - Charles Dickens
24 War and Peace - Leo Tolstoy
25 The Hitch Hiker’s Guide to the Galaxy - Douglas Adams +
26 Brideshead Revisited - Evelyn Waugh
27 Crime and Punishment - Fyodor Dostoyevsky
28 Grapes of Wrath - John Steinbeck +
29 Alice in Wonderland - Lewis Carroll ++
30 The Wind in the Willows - Kenneth Grahame
31 Anna Karenina - Leo Tolstoy
32 David Copperfield - Charles Dickens
33 † Chronicles of Narnia - CS Lewis
34 Emma - Jane Austen
35 Persuasion - Jane Austen
36 † The Lion, The Witch and The Wardrobe - CS Lewis
37 The Kite Runner - Khaled Hosseini
38 † Captain Corelli’s Mandolin - Louis De Bernieres
39 † Memoirs of a Geisha - Arthur Golden
40 Winnie the Pooh - AA Milne
41 Animal Farm - George Orwell
42 ? The Da Vinci Code - Dan Brown
43 One Hundred Years of Solitude - Gabriel Garcia Marquez
44 A Prayer for Owen Meany - John Irving
45 The Woman in White - Wilkie Collins
46 Anne of Green Gables - LM Montgomery
47 Far From The Madding Crowd - Thomas Hardy
48 The Handmaid’s Tale - Margaret Atwood
49 Lord of the Flies - William Golding
50 Atonement - Ian McEwan
51 Life of Pi - Yann Martel
52 † Dune - Frank Herbert
53 Cold Comfort Farm - Stella Gibbons
54 Sense and Sensibility - Jane Austen
55 † A Suitable Boy - Vikram Seth
56 The Shadow of the Wind - Carlos Ruiz Zafon
57 † A Tale Of Two Cities - Charles Dickens
58 Brave New World - Aldous Huxley
59 The Curious Incident of the Dog in the Night-time - Mark Haddon
60 Love In The Time Of Cholera - Gabriel Garcia Marquez
61 * Of Mice and Men - John Steinbeck
62 Lolita - Vladimir Nabokov
63 The Secret History - Donna Tartt
64 The Lovely Bones - Alice Sebold
65 *† Count of Monte Cristo - Alexandre Dumas
66 On The Road - Jack Kerouac
67 Jude the Obscure - Thomas Hardy
68 † Bridget Jones’s Diary - Helen Fielding
69 Midnight’s Children - Salman Rushdie
70 Moby Dick - Herman Melville
71 † Oliver Twist - Charles Dickens
72 Dracula - Bram Stoker +
73 † The Secret Garden - Frances Hodgson Burnett
74 Notes From A Small Island - Bill Bryson
75 Ulysses - James Joyce
76 The Bell Jar - Sylvia Plath
77 Swallows and Amazons - Arthur Ransome
78 Germinal - Emile Zola
79 Vanity Fair - William Makepeace Thackeray
80 Possession - AS Byatt
81 A Christmas Carol - Charles Dickens
82 Cloud Atlas - David Mitchell
83 † The Color Purple - Alice Walker
84 The Remains of the Day - Kazuo Ishiguro
85 † Madame Bovary - Gustave Flaubert
86 A Fine Balance - Rohinton Mistry
87 Charlotte’s Web - EB White
88 * The Five People You Meet In Heaven - Mitch Albom
89 Adventures of Sherlock Holmes - Sir Arthur Conan Doyle +
90 The Faraway Tree Collection
91 Heart of Darkness - Joseph Conrad ++
92 The Little Prince - Antoine De Saint-Exupery
93 The Wasp Factory - Iain Banks
94 Watership Down - Richard Adams
95 A Confederacy of Dunces - John Kennedy Toole
96 A Town Like Alice - Nevil Shute
97 † The Three Musketeers - Alexandre Dumas
98 Hamlet - William Shakespeare
99 † Charlie and the Chocolate Factory - Roald Dahl
100 † Les Miserables - Victor Hugo

Comments:

†† Yes, I have watched a lot of old movies. I've seen more than one version of some of these.

I think I was the only person in my circle who did not read #12 in HS.

I read #24 in fourteen days flat, the library loan period, including all of the essays at the back of the Norton Critical Edition. I've read parts of some of these in the original foreign language.

But where the heck is Rabbit Run? or Heart of Darkness? [Oops. Found it and fixed it.] Not to mention Physics by Halliday and Resnick? How can you read the Bible and not read the 2nd edition "blue bible"? Its opening is at least as enchanting as that of David Copperfield. I mean, how can "Chapter 1: I Am Born" compare to "Chapter 1: Measurement"? The latter features the failure of the first transatlantic cable because the company building it had ignored the careful new experimental measurements made by its hired engineering consultant, William Thomson (aka Lord Kelvin). That story, along with Lord Kelvin's view that "when you can measure what you are speaking about,and express it in numbers, you know something about it", is a great way to kick off a fine piece of technical literature.


Read Entire Article......

Friday, April 4, 2008

Gen Ed Critical Reading?

I was thinking of you, Dr. Crazy, and my blog comments about reading and physics problems that others can probably find by hitting the "reading" category, when I read the IHE article about revisions to the general education curriculum at Trinity University in Washington DC.

There was that magic word in the key sentence:
This fall, the 631-student women’s undergraduate college introduced a revamped general education curriculum, built on the bedrock of first-year classes emphasizing “foundational skills” — critical reading, written communication, oral communication, critical reasoning, and quantitative reasoning.

If they agree that critical reading is a "foundational skill", then why is it taught so rarely today? My students say they only write reaction papers (how did long division make you feel) in their English composition classes in college, and ditto for high school. Critical reading seems limited to sophomore literature classes.

I find that I have to teach critical reading to teach physics, and it has been something I have been working on trying to master for more than a year. Right now I am thinking about using a homework reading exercise (rewrite in your own words and see if your neighbor will agree) as a way to attack weaknesses they have with problem identification on the final exam. I think it works, but I'm not very good at using those techniques in the classroom.

There was one other striking comment in that article:
So-called urban learners “tend to come from big urban public high schools where they’ve been educated in chaotic and unsatisfactory ways.” Ah, that is not just a problem with big urban high schools. Our feeder schools are nothing like the ones in Washington, DC, but chaotic seems to describe everything in their educational program that is outside the specific topics and question types covered by the state exit exam.

Chaotic and unsatisfactory might make a good school system motto if it was in latin.

Chaos et ???

OK, its not really all that bad, but the lacunae in their basic knowledge (little things, like the area of a sphere or the quadratic formula) can be shocking. It seems that the only way to fix it is to add a topic to the exit exam so it gets taught systematically in the schools.


Read Entire Article......

Saturday, March 24, 2007

My thoughts on College Readiness

I can see that my concerns are not unique. In the span of a few days, Chad Orzel (in Uncertain Principles) took up "College Readiness and AP Classes" and "Reading Science in College". I posted a few comments on the first topic in his blog, and in the IHE viewpoint on College Readiness that motivated it, but there is much more to be said about it. I will take that up at the end of this entry. The second one ended up being mostly about reading physics papers, not what subset of skills is needed to do so, but it pointed to a very detailed article on "How to Read in College" by Timothy Burke (History Dept, Swarthmore) that I will recommend to anyone.


Reading: (and "close reading"?)

Burke's article is superb. Although written from the perspective of an historian at a highly selective PLAC, I agree with Orzel that it also applies to how one reads physics papers. I don't think it applies to a graduate student starting into a new area (that person has to read a single paper and many of its references, and references in those references, with attention to every detail needed to catch up with the people who started that field), but it does summarize the key parts of a skill we all learned the hard way. However, my impression (see, I did not read it closely) is that it ignores whether a student actually knows how to read "with intense precision and in gory detail". I think this is unlikely in general, although I suppose it is possible that most of his students come to Swarthmore with that skill, or enough of it that they can function in his history classes. It is more likely that they skim paragraphs as well as entire chapters, because they were trained to skim paragraphs so they (and their school) would do well on the verbal part of "high stakes" achievement tests.

The problem in physics is that 90% of what students actually do (and most of what they need to do) is read and analyze physics problems. Skimming is fatal there, because every word counts. Students seem to recognize that every number matters, and they quickly learn to associate each number with a symbol and the appropriate terms in an equation. They are not nearly as good at classifying problem types based on the information given. They are terrible at turning a work picture into a real picture, so we usually provide a drawing on tests if the situation is at all complicated or novel. They are particularly weak when a quantity is given in words, say when a sign is "given" by saying, for example, that the voltage lags the current by 28 degrees. [They get the 28 deg angle, but not the sign. After all, "lead" and "lag" both start with L.]

This is where the ideas on teaching close reading, borrowed from literary analysis classes, can give us some ideas on what to do.

Textbooks:

Orzel mentions that, like me, he assigns a textbook but not much reading. As he states, they can "sort of follow along" but our lectures never actually follow the book. [I do, however, make it a point to minimize differences in notation, because they do use the book as an example or equation reference when stuck on a problem.] Although I would never confuse an intro level textbook with the actual academic publications of a physicist, I think he gives too little attention to the awful state of physics textbooks. They get bigger every year (compare 1967 Halliday and Resnick to 2008 H+R and Walker) and do not get easier to read. A student, who is trying to learn which concepts are important ends up being overwhelmed with all sorts of side trips down Relevance Lane.

It does not do much good to assign a book that cannot be read. The physical science book produced by Hewitt is a step in the right direction. My first instinct was that its language was much too simple, but he puts all of the attention on the technical words and their unique definitions in physics. Lind wrote a compact version of one of Serway's books that was "just the facts". Not a bad idea. Students, for generations, have been using Schaum's Outlines in place of the textbook. Are they trying to tell us something? The ideal solution might be a textbook where volume 1 has everything you need in terms of definitions and equations and a few detailed examples worked like you do them on the board, and volume 2 has all the real world examples and and pretty pictures. Volume 1 you keep, and Volume 2 gets sold to the next kid.

College Readiness in Algebra:

Algebra. And Trig. I think this is going to have to be a separate article. I am in 100% agreement with what Orzel said in "College Readiness and AP Classes", although I don't attribute it all to AP classes. A similar problem persists among students who take (or retake) algebra and pre-calc in college. I think the core problem is that the K-12 system never conveys the concept of prerequisites so they view each class as an end in itself. Standardized tests don't help, and I suspect that what Dave Spence argues for (yet another one-size-fits-all standard) would make it worse. When they get to college, students will be held accountable for still knowing what they allegedly learned, but they have no clue what this means because lower level math classes spend substantial time on review from the previous year.

That said, lack of drill and 100% mastery of basic algebra skills -- the essence of Orzel's argument against the rush to get on to the AP courses -- has merit. I have seen one student from an IB program who left GaTech to get restarted at my CC, and my diagnosis is that he had a superficial knowledge of both calculus and algebra coming out of HS. I could never understand how one of my nieces could struggle in physics at college after "taking" an AP class in HS, but I'll wager that it was due to a lack of fluency in algebra.


Read Entire Article......

Sunday, March 18, 2007

More on Close Reading (Thanks, Dr. Crazy)

I think there is really something to this. I tried a few ideas from the English-teaching side of the fence in a Friday class, and could see some lights come on for several students. Further, as I see more detail from others who teach "close reading" in English classes, I see more commonality in the challenges we face.

In an article I wrote last week, I guessed that student difficulties with problem solving in Physics and literary analysis in English might be related. I did not explicitly ask for teaching advice from that side of the fence (after all, no one is probably reading this blog yet); instead, I sent an e-mail asking Dr. Crazy to post a followup to her February article, to explain how she teaches "close reading". Dr. Crazy's response provided lots of detail about how she teaches it, and others added additional details, include a lengthy followup blog by Scott?. A big thanks to all of you.


I mainly use "modeling" to teach problem solving, and have some observations about it (and what helps make it work) that I'll append below. The main point, I think, is that we have to convince students that the methods we teach them in class are actually ones that we use ourselves, not ones we are parroting out of the "instructor's manual". The ideas I picked up from Dr. Crazy are, IMHO, ways to convince students that they are also methods they already use ... albeit in a different context.

The ideas I singled out for Friday's experiment were "in your own words" and "three questions". Homework was due and there were questions about one particular problem where something we had dealt with in the past (a particular phrase) appeared in a new context. As soon as we got to that phrase in the problem, their words were the right ones because they looked at the phrase on its own. Scott's emphasis on "the words on the page" also came into play here. Somehow breaking the sentences into pieces, and asking about each piece, really helps them. (The long-dead skill of diagramming a sentence immediately comes to mind. Do they need my prompting because they don't know how to identify each of the clauses?) Then I asked them what questions are raised by the problem, what things we need to know to answer them, etc, and we went on to convert it from english to mathematics.

The "three questions" then became a theme for the rest of the class (which was working examples related to next week's homework). By the end of class, several students were much more engaged in that process than in the past. Like some of the other discussions suggest, I suspect that giving this technique a memorable name is one key to getting them to automate it for themselves. Time will tell, but I am looking forward to making this into a collaborative learning exercise at the next opportunity.

On modeling:
I think modeling is crucial, but the trick is getting them to adopt it. Like Scott, who wrote "I realized a while back that simply modeling a close reading (which for them often registers as some kind of witchcraft) wasn’t enough.", I know they think I have magic wand, or the entire solutions manual in my head. Even when I verbalize the steps I normally do in my head, they are still looking for shortcuts. They want a magic wand for every problem! [I suspect they have a lot of un-learning to do. We need to deal with the side effects of prep classes for HS competency exams, which treat everyone as if they were at the 10th percentile. ] Thus I tell my students about once a week that this is how I solve problems! One thing that has really worked for me is getting some 'graduates' to come back and talk about what they use at the next level. They listen to peers, which is probably why many of the collaborative learning methods work so well.

Note added October 2007:

Interesting article in IHE on more effective teaching of freshmen at Ball State. One of the approaches was entirely about teaching higher-level reading skills.


Read Entire Article......

Thursday, March 15, 2007

Thoughts on "close reading" and physics teaching

I got hooked into a certain section of the academic blogosphere (why does blogger flag that as a misspelling?) when my brother sent me a link to an article by Profgrrrrl wherein she reported visiting another faculty member on campus and overhearing some education majors complaining about doing math in their math ed class. [Having math taught by persons who hate math is a sore point with anyone whose students can only follow their dream of being an engineer by becoming fluent in basic algebra skills. Many of my female students did not discover they liked math and science until they got a decent teacher in college.] Fascinating.

I discovered an informal, virtual coffee shop with people from parts of campus I had not visited since I was an undergraduate: social sciences, english, history, philosophy, etc. I discovered that they face similar challenges with student engagement and skill sets. I even learned, recently, how to put a name on a skill I was taught by my HS advanced comp teacher. A skill my physics students, mostly future engineers, often lack. That skill is "close reading".


Physics and chemistry problems are all "word" problems. Simply put, those problems require a particular kind of "close reading" that results in associating an abstract symbol with a particular concept described by words in the problem. Our starting point is to assume that our students have met a specific "college-level" reading and writing prerequisite, since we are not trained to teach reading. We assume they know that words have specific meanings, and that adjectives modify those meanings, etc. This may be a bad assumption.

Dr. Crazy, in A Post on Close Reading, was writing from the point of view of someone teaching upper division English majors. That her students, well past first year composition classes, would be unfamiliar with the "deep analysis of a passage of text" or with "grounding one's claims in actual ... literature" is a clear signal that the problem I see has deeper origins. I assumed that students would base their persuasive essays on facts drawn from a primary source that had been read with some care. That was commonplace in my experience (about 30 years ago), but Dr. Crazy seems to be saying that English now avoids word problems (f.k.a "story problems") as much as Math does.

I wonder if it is for the same reason.

A colleague at another institution has seen a steady decline in "problem solving skills" in conjunction with rising SAT scores at his institution, that he attributed to the rise in high-stakes HS competency exams. Teachers put a lot of time into raising their school's NCLB grade by teaching to a particular kind of standardized test. I suspect they teach "rushed reading", with an emphasis on grabbing at a key word and running with it. [That would explain why a student would miss an exam problem asking him to "calculate the work done by friction" (emphasis added) because he read it as "calculate the ... friction" (a specific instance of a different category, force).] If so, college English courses have a lot of un-teaching to do before students will begin to appreciate the importance of reading every word rather than jumping on the first or last one they read. And I may have to learn how to teach reading, or at least let English professors know that a bridge might fall down because of the way students read.


Read Entire Article......