Showing posts with label thinking. Show all posts
Showing posts with label thinking. Show all posts

Tuesday, August 27, 2024

"To work on what has been taken in": this says it all


by Anne White

I've heard the same thought about food a couple of times recently (you may have seen the same video): that it's a good practice to bless the cheese, the eggs, the fresh vegetables, the life-giving meat as these things come into your kitchen, because, sooner or later, they're all going to be YOU and your family.

Consider this quote from Laurie Bestvater's The Living Page:

Parents also need time to assimilate that 'notebook' is actually a misnomer. We are not note-taking at all; by notebooks we simply refer to Mason's various paper activities...[a] child's notebooks are not primarily products...[they are] not so much to directly reproduce knowledge but to allow personality to work on what has been taken in.

This applies not only to notebooking, but to oral and written narration as well: the success of a lesson is not based on perfect reproduction, any more than we are attempting to become carrots and ground beef by eating dinner. The food becomes part of us, not the other way around.

Now read what Denise Gaskins says in Prealgebra and Geometry: Math Games for Middle School:

When we give students a rule, we give them permission not to think. All they need to do is remember our instructions. But it is only by thinking — by struggling their way through mental difficulties — that our students can build a foundation of mathematical knowledge strong enough to support future learning.

The knowledge that is thought for, and fought for, gives us energy and also becomes part of our bones and muscles. The well-studied painting, the narrated story, the notebook-chronicled history event or literary quotation, all become us, as our minds go to work on them. These blessed things we take into ourselves change us, and we change them.

As a postscript, here's something I found in A Swim in a Pond in the Rain, by George Saunders.

What is it, exactly, that fiction does? Well, that's the question we've been asking all along, as we've been watching our minds read these Russian stories. We've been comparing the pre-reading state of our minds to the post-reading state. And that's what fiction does: it causes an incremental change in the state of a mind.

So--eat with grace. 

Saturday, October 11, 2014

Do we teach thinking? (Harvard study meets Charlotte Mason)

by Anne White

Have you seen this Yahoo news article citing research by Shari Tishman at Harvard?  Tishman describes seven "thinking dispositions" that good thinkers not only have but actively use.
"1. The disposition to be broad and adventurous: The tendency to be open-minded, to explore alternative views; an alertness to narrow thinking; the ability to generate multiple options."
11. But we, believing that the normal child has powers of mind which fit him to deal with all knowledge proper to him, give him a full and generous curriculum; taking care only that all knowledge offered him is vital, that is, that facts are not presented without their informing ideas. Out of this conception comes our principle that, [Education is the Science of Relations.] ~~ Charlotte Mason, Philosophy of Education
"2. The disposition toward sustained intellectual curiosity: The tendency to wonder, probe, find problems, a zest for inquiry; an alertness for anomalies; the ability to observe closely and formulate questions."
12. "Education is the Science of Relations"; that is, that a child has natural relations with a vast number of things and thoughts: so we train him upon physical exercises, nature lore, handicrafts, science and art, and upon many living books, for we know that our business is not to teach him all about anything, but to help him to make valid as many as may be of––
          "Those first-born affinities
      "That fit our new existence to existing things." ~~ Charlotte Mason, Philosophy of Education

"3. The disposition to clarify and seek understanding: A desire to understand clearly, to seek connections and explanations; an alertness to unclarity and need for focus; an ability to build conceptualizations."

13. In devising a SYLLABUS for a normal child, of whatever social class, three points must be considered:
     (a) He requires much knowledge, for the mind needs sufficient food as much as does the body.
     (b) The knowledge should be various, for sameness in mental diet does not create appetite (i.e., curiosity)
     (c) Knowledge should be communicated in well-chosen language, because his attention responds naturally to what is conveyed in literary form.  ~~ Charlotte Mason, Philosophy of Education
"4. The disposition to be planful and strategic: The drive to set goals, to make and execute plans, to envision outcomes; alertness to lack of direction; the ability to formulate goals and plans."
17. The way of the will: Children should be taught, (a) to distinguish between 'I want' and 'I will.' (b) That the way to will effectively is to turn our thoughts from that which we desire but do not will. (c) That the best way to turn our thoughts is to think of or do some quite different thing, entertaining or interesting. (d) That after a little rest in this way, the will returns to its work with new vigour. (This adjunct of the will is familiar to us as diversion, whose office it is to ease us for a time from will effort, that we may 'will' again with added power. The use ofsuggestion as an aid to the will is to be deprecated, as tending to stultify and stereotype character, It would seem that spontaneity is a condition of development, and that human nature needs the discipline of failure as well as of success.) ~~ Charlotte Mason, Philosophy of Education
"5. The disposition to be intellectually careful: The urge for precision, organization, thoroughness; an alertness to possible error or inaccuracy; the ability to process information precisely."
18. The way of reason: We teach children, too, not to 'lean (too confidently) to their own understanding'; because the function of reason is to give logical demonstration (a) of mathematical truth, (b) of an initial idea, accepted by the will. In the former case, reason is, practically, an infallible guide, but in the latter, it is not always a safe one; for, whether that idea be right or wrong, reason will confirm it by irrefragable proofs.  ~~ Charlotte Mason, Philosophy of Education
"6. The disposition to seek and evaluate reasons: The tendency to question the given, to demand justification; an alertness to the need for evidence; the ability to weigh and assess reasons."
19. Therefore, children should be taught, as they become mature enough to understand such teaching, that the chief responsibility which rests on them as persons is the acceptance or rejection of ideas. To help them in this choice we give them principles of conduct, and a wide range of the knowledge fitted to them. These principles should save children from some of the loose thinking and heedless action which cause most of us to live at a lower level than we need.  ~~ Charlotte Mason, Philosophy of Education
"7. The disposition to be metacognitive: The tendency to be aware of and monitor the flow of one's own thinking; alertness to complex thinking situations; the ability to exercise control of mental processes and to be reflective."
5. Therefore, we are limited to three educational instruments––the atmosphere of environment, the discipline of habit, and the presentation of living ideas. The P.N.E.U. Motto is: "Education is an atmosphere, a discipline, and a life."
 ~~ Charlotte Mason, Philosophy of Education

Thursday, September 19, 2013

How to be a better teacher than Miss Perkins (it's not hard)

by Anne White

I discovered a short story, "Against the Odds" by Martin Gardner, in his book Are Universes Thicker Than Blackberries?  It was first published in the College Mathematics Journal in 2001, but (according to this summary and the Amazon linkBlackberries is the only other place you're going to find it.  I found my copy at the thrift store, but you might check the library.

The plot is almost too predictable, too simple.  Luther Washington is a young African-American boy (so he is described), around 1960, who has a gift for abstract mathematics.  He runs up against a female (white) teacher who doesn't know much more math than her students do and thinks he's just showing off.  Luckily, he eventually gets (more or less) sent to the principal, who does know something about math, and who puts the boy on the road to a college scholarship.  Ten years later, after earning his Ph.D., Luther wins a major mathematics prize.  The teacher, now retired and married to the basketball coach, doesn't recognize the newspaper photo of her former student but mumbles something about "affirmative action."

The story raised some questions for me, besides obvious ones like "could that ever happen?" Actually, that could be taken either way, as that summary points out: the first part of the story certainly could happen.  It is depressingly realistic about ignorance in teaching that kills the desire to learn.  The second part is, of course, a fantasy, a wonderful Cinderella solution, but one that probably doesn't happen often.  It's nice to see Luther's career success, but it's just a bit of luck, really, that he suddenly gets noticed by the right people, and doesn't have to bury his dreams.

It's with the earlier part of the story that we, as parents and educators, need to concern ourselves.  We can even ignore the question of racial prejudice to some extent, though it is largely what keeps Miss Perkins from seeing Luther's brilliance.  But based on the description of the teacher's limitations (an American-history major who got stuck teaching math), is it likely that she would have been more accommodating of a white student whose talent for math surpassed her own?  Would she have been more accepting of a student who showed great aptitude for American history, or would she have been as narrow-minded about the correct response to questions in history and government?  Is it not also something of a stereotype to assume that an American-history major would not recognize vectors, or that she would be so uninterested in her own teaching subject, however accidentally acquired, that she wouldn't go the library that night, or phone up a colleague, and find out what that confounded boy was talking about?  Or ask him to stay after school and show her how his proof worked?  That's what you'd do, isn't it?

Well, you and I aren't Miss Perkins.  She may be a Dickensian stereotype (especially in the "devout Baptist" part), but she's got enough truth in her to make it worrisome.  Stories pop up in the media about teachers who can't spell, can't punctuate, and yes, can't do math.  More stories come up about families who turn to homeschooling after encountering their own version of Miss Perkins. We know there are problems in the public school system.  We know there are bad teachers.  We know that exceptional learners of all kinds, including gifted students, often get shortchanged by "the system." What does all that have to do with Charlotte Mason?

Just one, maybe two things.  Miss Perkins might seem to be mostly racially motivated, but as teacher-detectives we need to look at what else is going on. Stick with me, class...who can tell what educational principles Miss Perkins violated?  What was her biggest mistake?  Pride?  Sloth?  Misuse of authority?  Not recognizing Luther as a born person?  Not giving him the respect due to his personality?  Messing with Luther's desire for knowledge?  Stomping on his living ideas?  Putting all the stress on the idea of the teacher having to put information into the student's head, instead of recognizing that he could figure things out aside from her?  Thinking that if she didn't know something, there was no way that a teenager (let alone a minority-group teenager) could know it?  (It's always a temptation to think "I can't learn anything from this person, because I'm X and he's Y.")  Ignoring the Gospel command (quoted by Charlotte Mason) to "Take heed that ye offend not--despise not--hinder not--one of these little ones?" All of the above?

I think that list covers most of her educational sins, but there's one other point, and perhaps it is a greater problem for some of us...who are, like Miss Perkins, teaching outside of our own fields, or without any "official" teacher training.  Yes, we have wonderful educational resources to draw on; even "scripted" ones that practically guarantee teaching success without having to have deep knowledge of a subject.

And there's the problem.  We are not teaching machines, any more than our students are learning machines.  What kills learning for the student goes double for us, even if we have such thought-out-in-every-way materials that we can now teach on auto-pilot.  Especially if we have such materials.  Charlotte Mason did not approve of too-elaborate manipulatives and models for students; and, by the same token, she would probably not care for lessons that don't let any unscripted learning sneak in.  Especially lessons that go so far as telling us what we, as well as the students, are to think.

If Miss Perkins seemed determined to shut down Luther's learning, it appears that she had already shut down her own. (Ignorance breeds intolerance?)  Her teaching had been reduced to one-lesson-at-a-time, and please don't ask me any questions that might make me look foolish or take us five minutes over the time limit.  This is what this lesson's about, this is how you do it, and this is the right answer.  Some people say they like math because there's always one right answer...but no, it's not true even in math.

Yes, teaching is "easier" if there are lesson plans, assignments, printable tests with answer keys.  "Open the book and teach" brings high praise from reviewers. Homeschoolers are, proverbially, always looking for "curriculum" that does everything but diaper the baby and cook dinner.

Charlotte Mason would say, run from anything of the sort.

A little help, yes.  As someone who has attempted to "help" by writing several AO study guides, I'm sympathetic to all the reasons of our lack of time, lack of background, having several children to teach, and all the rest of it.  The reason I wrote my first Plutarch study was simply because nobody had written one for me to use.  If there had been a set of notes, I would have used them, but I couldn't find any, so I just kept reading and looking stuff up until it started to make sense.  To keep others from having to reinvent that particular wheel, I put the notes online.  And I've been extremely grateful for other people's work in other areas.  But especially with Plutarch, I can't tell you why he says everything he says, what everything means, or what, exactly, to say next.  Or what not to say.

So if we take Miss Perkins as a cautionary tale, let's be careful about thinking that any written lesson or teacher's manual (short of the Bible!) contains complete and final knowledge of anything; and let's also be open to truth wherever we find it.  Even in a murder mystery that turned out to be so graphic I'd never read it again:
"'My mind would make these magic little leaps. You know what I mean?' I nodded. I knew about minds making magic little leaps."  ~~ Sue Grafton, C is for Corpse
Here's to our students' success.  May we not offend these little ones.  May we not take ourselves and our educational materials so seriously that we close our eyes to curiosity and new ideas.  And may we take our desire to learn...and the humility to learn from each other's magic little leaps...out into the world. Because there are still a lot of Luthers out there.