Tuesday, June 26, 2012

Why Constructivism=Fails (According to Kirschner et al.)

The very long-titled article "Why Minimal Guidance During Instruction Does Not Work: An Analysis of the Failure of Constructivist, Discovery, Problem-Based, Experiential, and Inquiry-Based Teaching" raised a multitude of interesting points and provoked several (interesting) thoughts.

First, "experts use schema based pattern recognition". Learning is all about getting a series of if-then statements hard coded into long term memory. Problem based learning requires learners to store too many things at once in working memory, making it difficult for them to build the necessary schemas in memory. In other words, constructivist methods tend to bite off too much at a time, and to masticate on it too little. For example, take discovery learning methods and medical residents. A problem based approach instructional approach would lay all the data out on the table for the resident: "She has a blue tongue, oddly speckled saliva, and non-focusing eyes. How would you proceed?" The student is then required to jump into an extremely complex inductive/deductive process: remembering the symptons, multiple competing intermediate hypotheses on diagnosis, and so on. All this combines to tax the resident's working memory to the limit, thus retarding schema formation. Direct instructional methods on the other hand take more of the approach: "This is a patient with a blue tongue, speckled saliva, etc. In almost every case like this, Egyptian scurvy is the diagnosis. Here are a variety of photos showing different manifestations of this disease. In some cases, Nairobian scurvy may in fact be the culprit however. In such cases when you are in doubt, you should perform test X on their saliva." After these instructions are repeated and practiced sufficiently, so goes the hope, the student will automatically perform the same thought process, perhaps with a little modification. 

There is a huge difference in these approaches. On the one hand, the direct approach believes that a "best practice" for a given situation does exist, and that it is the purpose of instruction to lock that best practice in students minds. The constructivist method makes no such assumption however, and although minimal scaffolding may be provided, the student is expected to figure out on his own essentially what is the best way to proceed when confronted by a blue tongue and speckled saliva, etc.

Which approach is more effective? Direct. Hands down. Almost every rigorously measured head to head match up between direct and constructivist methods has resulted in clear wins for the direct approach. Psychological experiments have pointed towards the centrality of long term memory in expertise rather than any type of "faster processing speed" (IE Grand Master chess players were no better at recalling briefly viewed chessboards that would never be encountered in real play than less skilled players, but this finding reversed when the patterns changed to be chessboards that commonly were encountered in real play.) Cognitive load theory further suggests that discovery based learning methods may in fact retard the formation of these detailed mental schemas, since so much processing power is required to juggle multiple bits of information concurrently in working memory. 

Although a little arrogant in tone, Kirschner et al. make a strong case. Although they do cut constructivist methods some slack in some place (For example, constructivist methods have been shown to be at least  as effective as direct methods when learners are at an advanced stage of domain proficiency.), by and large the paper is bare of anything positive to say about constructivist methods. Although this lack of counter-evidence is worrisome, suggesting the possibility that either the authors did not do their homework or that they ideologically committed to direct methods, blinding them to any of the strong points of constructivism. However, I'm inclined to trust them in most of their assertions, both from the professionalism of their tone as well as the things I have experienced in my own life. 

Tuesday, December 20, 2011

kevin's Test

Hi Scotty!

Test 1

Isn't this SUPER awesome? Mauris metus nibh, elementum nec tempor id, dignissim sit amet augue. Cum sociis natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Maecenas tempor mollis lacus varius laoreet. Nullam quis metus vitae sem posuere mollis eu convallis ipsum. Aenean eget enim id odio condimentum ullamcorper at nec urna. Vestibulum lobortis sagittis turpis, ut ultrices enim eleifend eu. Quisque tempus elementum diam, lacinia auctor risus iaculis sit amet. Vestibulum ante ipsum primis in faucibus orci luctus et ultrices posuere cubilia Curae; Nam commodo pretium massa, vitae malesuada libero semper sed. Morbi scelerisque commodo felis, et porttitor risus convallis et. Nulla et tellus sit amet mi vestibulum varius. Praesent quam enim, venenatis in mollis porttitor, condimentum vel ligula. Etiam sodales sodales velit, ac varius dui cursus vitae. Quisque lacinia hendrerit ipsum vel feugiat. Fusce ac neque sit amet ligula bibendum adipiscing.

Thursday, October 22, 2009

My Thoughts Today (thus the name of the blog...)

There is no solution really other than to do your best, plead with God for help every day, and try to change for the better as quickly and as much as you can. But after that there's nothing to do but put your trust in God, and in the hope, which being seen would not be hope, that things will work out ten times, twenty times, maybe even a hundred times better than you could ever hope for. You don't know when, and you don't know how, or in what unexpected manner, but you know in whom you trust, and you know that he is there, and that he loves you, and he wants the best for you now and throughout eternity.

Saturday, February 14, 2009

Bored...

After a week of barely not being able to breathe because of my busy-ness I've finally reached Saturday, I can finally relax, and then.... I find I'm bored. It's so much easier to decide what to do with your life when it's all scheduled out in advance and when you have school and work commitments pressing so insistently down upon you that you don't even have time to think what you would do in a theoretical spare moment.

Things I theoretically could have done tonight if I had planned better:
-Gone to twYlight by Divine Comedy here at BYU. (Their tagline: What's the use of living forever if you live in Provo?) They're this hilarious comedy group down here at BYU (at least I think they're hilarious. I know Kevin has other ideas.) but sadly tickets to the performance this night sold out on Wednesday. When I saw the posters I wanted to buy tickets but I only rememberd at night time and then the opportunity had passed. Maybe sublimally I put off buying the tickets because I knew that were I to buy them, I would need to find someone to go with, thus leading us to our second item on this list...

-Gone on a date. I mean, it is Valentine's Day, c'mon. Isn't love supposed to be swirling in the air this time of year? Shouldn't some cute girl be out there whose night I would have made by making her my Valentine? Sadly these questions will never be answered.

-Gone snowshoeing, sledding, etcetera? I put a question mark on this one because seriously I don't know if this would have been possible even theoretically. There's something about getting older that makes me less and less willing to freeze myself out of doors. Still, snowshoeing would be fun to do sometime before Spring.

What I'll probably end up doing tonight (or have already done):

-Play Diablo II with my roomate Jon. Yea!!! death to the forces of evil!!!
-Watch James play his video game. (check.)
-Playing boardgames with some people in our apartment complex. I owe Jon the invite to this one.
-Go visit Brent and Anna. Holy cow, she is 7 1/2 months pregnant. Who knew? (Oh, interesting side note, Brent's sister Sarah is actually in Divine Comedy and is the girl pictured in the poster.)
-Blogging. (Check again.)
-Do laundry. (Another check mark next to this one too.)
-Eat Paula and Jame's food. Did I mention I'm currently at their house?
-Watch Stargate with Paula and James

Well, that is my life for the night. Hopefully next week will turn out a little more exciting :-)

Saturday, January 24, 2009

Farmer Boy - and One Philosophical Consideration


I just re-read "Farmer Boy" by Laura Ingalls Wilder for the first time in probably 5 years and it was every bit as good as I remembered it. The whole Little House on the Prairies series is amazing. I offer several reason why:

-Her characters and the world they inhabit seems very real. I was surprised to find all sorts of details that I never noticed before: little mannerisms in Almanzo's family (they always speak in unconjugated to be form, like "Be you hungry?"), the relative wealth and importance of Almanzo's family compared to the rest of the town, and many, many other details.

-She focuses the details unerringly on things that actually interested Almanzo. She puts a lot of detail into food and animals because that's what Almanzo cares about. She devotes about a page to describing church services and no more because Almanzo was bored by it.

-All her characters are very sympathetic. It's impossible to not like Almanzo or his family.

-The optimism, wisdom, and hard-working ethic of her characters:

1) They wake up at 5 a.m. and everyone in the entire household, Father, Mother, and all the children, would keep working until 6 or or 7 p.m. or even later during harvest time.
2) When a man tells Almanzo's father that Almanzo's a "smart boy" for having made a shrewd bargain on hay, his father replies "Time will show. Many a good beginning makes a bad ending. It remains to be seen how he turns out in the long run." It sounds somewhat harsh and unloving, but I think it reflects a higher standard of personal responsbility than we normally practice nowadays. It says that good character and the respect of your fellow men is something you need to earn through consistent and proven performance.
3) Especially in the life of Laura and her family, but also in Farmer Boy, you get a sense of the incredible optimism that allowed these families to make their way through the incredible challenges of frontier life. Even though Laura's family is forced to move at least 4 times in a 15 year timespan, have to suffer through near starvation, blizzards, dirt homes, and many other challenges, unfailingly the characters retain their love of life and their confidence that things will work out. They're incredible.

-Her excellent descriptions of pioneer life. She is very adept at explaining pioneer ways of living which have no analog to modern living. (such as when Almanzo and his father thresh the grain in the barn, or go cut ice on the river.)

-Finally, Laura Ingalls Wilder infuses such a love of life into her stories that you just feel happy when you read. She always focuses on the little joys of life - like snowball fights, and the exquisite joy of receiving almost nothing but an orange for Christmas (Wow - what a change in 120 years). She has a very keen sense of appreciation for animals and plant life. Laura writes about her characters in such a way that you know she loves them. I'm reminded of a quote

"To look at a thing is quite different from seeing a thing, and one does not see anything until one sees its beauty."

The writing of Laura Ingalls encapsulates this principle perfectly I think and it is to this that her books owe their enduring appeal. She loved pioneer life to an exceptional degree. And because of this she was best equipped to write about it in such a way as to capture its true essence.

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One final philosophical consideration completely unrelated to Farmer Boy drawn from a book I'm reading "Walking on the Tightrope of Reason":

"Imagine a board game as complicated and challenging as chess. It has been played for centuries; tournaments are held, world champions are crowned, books and magazines are published concerning it. The ability to excel at this game is taken as a mark of high intelligence. We will call this game Ludwig. One day two novices playing foolishly (though making legal moves) stumble into a position where two of the rules of the game come into conflict. The conflict arises in the following way. Ludwig, like other games, has rules of various kinds. It has rules specifying the ways that pieces are permitted to move. It also has rules indicating that, under certain circumstances, a move is mandatory - as in checkers you have to ump a piece if you are able to jump a piece. It also has rules that, under certain circumstances, forbid making moves that are otherwise legal - as in chess one is not allowed to expose one's king to check. Our novices somehow work their way into a position where a particular move is both mandated and forbidden, thus leaving no legal way to proceed. The game gets "hung up," as computer programs sometimes do. Because this possibility exists, we can say that Ludwig is inconsistent in the following sense: A series of legal moves can lead to a situation where a further move is both mandated and forbidden. We might say that the system of rules governing Ludwig is, in this sense, dilemma-prone. Finally, we can suppose that this feature of the rules - its dilemma proneness - has gone undetected for centuries because the moves that lead to it, though legal, are wholly unmotivated. Nobody who understands the point of the game Ludwig would make the movies leading to this situation...

Given that Ludwig us dilemma-prone, what are we to say about its status as a game? ... This, then, is the first thesis I wish to maintain: the presence of an inconsistency in the rules that govern a game need not destroy the game; indeed avoiding inconsistency could make the game unplayable or uninteresting. In some circumstances, we can live, and live happily, in the neighborhood of inconsistency. I will say that a game and, by extension, any system of rules is "Ludwigean" if, like Ludwig, it is dilemma-prone yet perfectly playable when movies are made in a serious, purposive manner."

SO that's the extract. I hope you like it as much as I did when I read it. You can really apply this principle to pretty much anything in life. Just because something isn't perfectly logical doesn't mean that it's useless or "wrong." Sometimes our best option is just to live with inconsistency and ambiguity.

Tuesday, December 30, 2008

Pride and Prejudice - pure enjoyment


Ahhh, Pride and Prejudice - that classic of 18th century literature. I just finished listening to it on my mp3 player. There's a great, and free, download of it at librivox.org that is really exceptional. The recording done by Karen Savage is a pleasure to listen to. Although I've read the book multiple times this is the first time I've listened to it in audio format, and I found that I was unable to speed through the last several chapters like I usually do. Gosh darn it, I get impatient for the final conclusion; that "happy marriage," destined to forever "teach the admiring multitude what connubial felicity really is." (in the words of Jane.)

But on the other hand I made the gratifying discovery of many new details in my reading that I had usually skipped over. In fact... now that I think of it, there were a lot of details, especially in the most delicious parts - the confrontation at the parsonage, the meeting at Pemberley, the last chapters - that I usually pass over.

Pride and Prejudice is by no means a great work of "literature" as such - it certainly gives me no new and piercing insights into the human condition and the meaning of our earthly existence, as say Hamlet or War and Peace - but Pride and Prejudice I think holds the crown for wit, engagement of reader interest, and most importantly, vividness and "realness" of the characters themselves. All of the characters are so perfectly concieved in Jane Austen's mind, so consistent in their mannerisms and speech and interactions, so much like real people, that I for once can think that people who lived 200 years removed from my own age were in fact real people and not just dreary abstractions of real people who we read about in history books or other ancient works of fiction, such as Dickens. (What universe are his characters from?)

Here are three categories of insights I gained on the writing style of Jane Austen in this reading of Pride and Prejudice.

Plot Development: Pride and Prejudice is almost like two books in this aspect. The conflict starts immediately with the arrival of two suitable and eligible bachelors to Longbourne, the tension grows, Jane and Mr. Bingley fall in love, a suitable nemesis is found in the character of Miss Bingley, Lizzy meets Wickham, and everything seems to be heading towards some sort of climax which will require a resolution, and then.... nothing happens. Bingley leaves. Wickham amounts to nothing. The first climax that the reader has been expecting turns out to be no climax at all. Especially the first time through the reader doesn't know quite what to make of the sudden interlude of quiet nothing. There are no promising leads, no clear direction as to where the plot is supposed to go after Jane's disappointment. The reader may not even be aware of the conflict building between Darcy and Elizabeth until the very moment of their confrontation. Lizzy certainly is oblivious to everything. After the confrontation however, the plot immediately kicks into high gear. Darcy's letter turns all old assumptions on their heads, and the reader is left in awful suspense that doesn't end until the very last chapters. The second climax is of course Lydia's elopement with Wickham, and after the pair is suitably married away, and Elizabeth alerted of Darcy's intervention, the reader secretly knows that all the real conflict has ended. The final chapters are pure enjoyment. Just savor them.

I think Jane Austen's brilliant plot structure goes a long way towards accounting for the almost addictive absorption I usually experience in the second half of the book.

The Characters: First of all, all of the characters are caricatures of one sort or another. Mr. Bingley is the supremely pleasant extrovert, anxious to please everyone. Jane is the quiet, introverted ideal of extreme charity, patience, and judgement. Elizabeth is the self confident, good naturedly happy, ironical wit. Mrs. Bennet is just senseless ridiculousness. It's a credit to Jane Austen's genius that although her characters are caricatures, adjectives like these can never do them justice. They have to be read to be known. I think caricatures can be the only ever truly convincing characters.

The first thing Jane Austen does in introducing a character is to put the character in a scene which is sure to expose the most characteristic aspect of their personality. Thus in the very first scene we are introduced to the unusual family dynamics of Mr. and Mrs. Bennet in the form of a straight, non-explanatory dialogue. I remember that I wasn't quite sure what to make of either of them in my first reading. Making no explanation, she lets us discover the characters on our own terms. Second, after introducing us to the character, several pages later she gives us a brief summary of the character, their personality, and their situation in life. This usually confirms the image we have already formed in our own minds.

Jane Austen's Wit and Elegance of Style: Nine tenths of the enjoyment from reading Pride and Prejudice comes from the hilarious incongruities scattered throughout it. Jane Austen is simply brilliant in this respect. Since the novel faithfully tracks only Elizabeth, on almost every page we can smile to ourselves in quiet appreciation of Lizzy's ironic insights. Jane Austen, as narrator, commonly also inserts her own ironical juxtapositions.

Pride and Prejudice - what a great book... sigh. I'm sad its over. But the great thing about a really good book though, is that you can be sure each time you read it - no matter how many times previous you've read it - you're sure to discover something new.

Monday, March 17, 2008

Starting up

Wow, it's really late so I gotta get to bed. (danged 9:00 a.m. classes! I know, I know. It's really not that early but you've got to realize it's all about the perspective. Apartment life with room-mates is not very conducive to good sleep schedules.) It's been a good day. We had a huge family party and know I'm gearing up for another week of campus life. I wonder what will happen to me this week? I'll keep you posted - hopefully.