Is it Weird or is it Wrong?*

*From the Introduction to The Ultimate Guide to SAT Grammar.

"Is it weird or is it wrong" was my process for the SAT Writing Section (pre-Erica).



Here's how I scored in 2011, "by ear," as an adult:



It is worth noting that:

1) I do not recall ever being taught grammar in school.

2) I do remember being told by an English teacher that a comma happens when you feel a pause. I believed that was "the official comma rule" for about 35 years.

3) I worked in book publishing for over two decades and am a voracious reader.

Point #1 is probably a universal truth for American-educated kids facing the SAT today, as is some variation of point #2.

According to Erica:

Most of my students had little to no familiarity with grammatical terminology, so rather than simply reviewing concepts and offering up a couple of tricks, I had to teach them virtually all of the fundamentals of grammar.

Point #3 probably makes me an anomaly.

Given that the average SAT Writing score is 492, I can not think of one reason why every student facing the SAT should not own their own copy of The Ultimate Guide to SAT Grammar. This is THE definitive guide to the SAT Writing section (and trust me, I've examined most others).

Erica is the most precise human being I have ever met with regard to SAT grammar. I have visions of her picking through single words in the Blue Book as if individual blades of grass. To give you some idea:

Furthermore, I noticed that specific kinds of questions always showed up at specific points in the test. For example:

-Faulty comparisons almost always showed up in the last three Error-Identification questions, as did certain kinds of tricky subject-verb agreement questions.

-The final Fixing Sentences question (#11 in the first Writing section, #14 in the second) very frequently dealt with parallel structure.

Are you starting to get the picture?

When I first started picking apart exams and grouping their questions by category, I did not quite understand why the College Board chose to focus so heavily on certain types of errors (subject-verb agreement, pronoun agreement, parallel structure) and virtually ignore others. Contrary to what most guides say, “who vs. whom” is not actually tested on the SAT, even though who, and very occasionally whom, are underlined on various questions. Then, as a tutor, I read the writing of high school students – lots of them. And I started to notice that most of their writing was full of the exact errors tested on the SAT. Here it seems that the College Board does actually know what it’s doing.

The other point worth noting about this book is that she includes the indices from the Blue Book broken down by category. So in other words, if you need to find a bunch of dangling modifier questions to practice on, flip to the back of this book and you'll find them cross referenced by page and test/problem number.

Illustration by Jennifer Orkin Lewis

Full disclosure: I scoured the book about 10 times for missing punctuation and spacing errors in the 11th hour, in exchange for tutoring time with Erica. It was a labor of love and I'd do it again in a heartbeat.

Cross-posted on The Perfect Score Project

public service announcement - marijuana is stronger today

Around these parts most adults, including therapists who treat adolescents, seem to agree that marijuana is a reasonably benign drug parents shouldn't get too worked up about. I have now heard of at least three different therapists advising parents not to lower the boom when they learned their child was smoking pot.

That has never seemed right to me, possibly because it isn't right:

A: Marijuana has gotten stronger.

B: Marijuana use is causally related to development of schizophrenia in some cases.

C: Marijuana use is associated with lower educational attainment.

D: The younger you begin using it, the more dangerous its effects (and vice versa).

We've been pretty ferocious on the subject of drugs.

We told C, in these words: We have two kids with major brain problems; we don't want another one. [synchronicity alert: C has just this moment come into the room to tell me he's watching a really good show called Weeds. sigh]

Anyway, we told C. that if we found out he was drinking or using drugs, he would be spending his entire adolescence inside our house.

That has worked out pretty well, in part because C. is a fairly easy kid to manage, as kids go, and in part because the other kids in his school all got the same ruling from their own folks, who appear to mean business. C. has one friend whose parents ground him for a year. And that was just for drinking, albeit a whole lot of drinking, according to C.

I realize that some kids are easier to manage than others, but still. As I understand it (no time to fact-check at the moment), the later a person begins using any kind of drug, the better, and we've told this to C on several occasions. When C. was a freshman, I attended a lecture given by a mom whose son died of heroin addiction; her husband, the boy's step-dad, told us that a parent's job is to get his child to age 21 without drinking or using drugs.

Few parents are going to hit that mark, but Ed and I have found that having the mark is extremely helpful.

Now C. is lying on the sofa laughing over some DARE counselor who crashed the DARE van into a tree because he was drunk. Haha!

Actually, that is pretty funny. I'm not a fan of DARE.

I'm a fan of grounding your kid for a year if need be.

Teri W on French & karate

another demi-tiger mom:

My daughter started karate when she was 5, my son started as soon as he could after that, when he turned 4. So they've both been going for a few years now. My husband is *very* on-board with martial arts, damn the cost (and it's not cheap!), though he doesn't seem quite so worried about any other lessons they may take.

We argued over foreign language -- he wanted them to take Spanish, but I was conversational in French during my teens and I knew that I'd never get past Dora stage in Spanish, the way my brain works these days. So now, they take French immersion classes once a week and I play catch-up with Rosetta Stone and we're able to have little conversations.

And music? Yoiks. We paid to have my parents' piano moved to our house from their house ... and then two years later paid THE SAME PEOPLE to come and just make it go away. Oh, well.

Karate and French, it is!

Anonymous on kids

Anonymous writes:

This thread is fascinating to me. My children are 25, 27, and 30. I could no more have "Tiger Mommed" them than I could have flown to the moon, because they had their own ideas about what they would commit to. One became a zookeeper (this means getting a degree in zoology, which means passing all kinds of math, chemistry, and physics classes that she found very hard and very boring. One did one semester in college and dropped out, but is a fabulous writer -- always has been, since grade school. Hope she gets to earn her living at it. Third bumbled around, chose his own instrument and his own sport (and at the time of his choice). Had a wild youth. Is now in college and working -- all this to say, you can insist of some things with pretty much all kids (you must go to school, you must help with chores, you must attend family events) but after that, children are extremely variable in terms of how hard you can push, and especially if you don't have a thousands or years old culture backing you up. 

"chunk decomposition" - the matchstick problems again

Belatedly, I'm posting this abstract from the matchstick math study. It relates to the Why is SAT geometry hard? post I began writing the other day; it also relates to the two different meanings of the word "chunking" that cropped up in the matchstick comments.

When we're talking about memory, "chunking" means chunking several bits of information together into one larger chunk, allowing working memory to hold more than the 3 or 4 separate items it is capable of holding at one time. So, for instance, instead of remembering 2 - 0 - 3 as three separate numbers, you come to remember 203 as just one chunk.

When we're talking about perception, "chunking" means something closer to an automatic and entirely unconscious perceptual bias towards seeing -- visually seeing -- 'wholes' or 'chunks' instead of the parts that make up the chunk. "Visual chunking" happens instantly and naturally, whereas memory chunking requires practice over time. Crucially, visual chunking is extremely difficult to resist or to undo.

I've mentioned in a couple of comments threads, I think, that I believe autistic people (and children and animals) much more readily perceive parts instead of wholes -- something Temple Grandin absolutely believes. Temple told me once that the hidden figures in hidden figures puzzles always 'pop' at her, and I believe it. After 9/11 she and I used to talk about using high-functioning autistic people to man the carry-on scanners at the airport. 

Here's the abstract:

Constraint relaxation and chunk decomposition in insight problem solving.
By Knoblich, Günther; Ohlsson, Stellan; Haider, Hilde; Rhenius, Detlef
Journal of Experimental Psychology: Learning, Memory, and Cognition, Vol 25(6), Nov 1999, 1534-1555.
Abstract
Insight problem solving is characterized by impasses, states of mind in which the thinker does not know what to do next. The authors hypothesized that impasses are broken by changing the problem representation, and 2 hypothetical mechanisms for representational change are described: the relaxation of constraints on the solution and the decomposition of perceptual chunks. These 2 mechanisms generate specific predictions about the relative difficulty of individual problems and about differential transfer effects. The predictions were tested in 4 experiments using matchstick arithmetic problems. The results were consistent with the predictions. Representational change is a more powerful explanation for insight than alternative hypotheses, if the hypothesized change processes are specified in detail. Overcoming impasses in insight is a special case of the general need to override the imperatives of past experience in the face of novel conditions.

This study of Perceptual contributions to problem solving: Chunk decomposition of Chinese characters looks interesting.

culture clash

passage from Battle Hymn of the Tiger Mother:

In one study of 50 Western American mothers and 48 Chinese immigrant mothers, almost 70% of the Western mothers said either that "stressing academic success is not good for children" or that "parents need to foster the idea that learning is fun." By contrast,roughly 0% of the Chinese mothers felt the same way. Instead, the vast majority of the Chinese mothers said that they believe their children can be "the best" students, that "academic achievement reflects successful parenting," and that if children did not excel at school then there was "a problem" and parents "were not doing their job." Other studies indicate that compared to Western parents, Chinese parents spend approximately ten times as long every day drilling academic activities with their children. By contrast, Western kids are more likely to participate in sports teams.
p. 14

change

Superintendent's Resignation Linked to Performance Review

Agreement and Mutual Release

irreconcilable differences

Algebra Review for Pre-Calculus (follow-up)

I recently wrote about Algebra Review for Pre-Calculus and discussed some problems that I typically assign in the College Algebra courses I teach. Here is a link to some examples of those problems including algebraic simplification, simplifying rational expressions and solving equations involving rational expressions.

I'll write next about the Rational Roots Theorem and polynomial factorization. Here's a problem I found from a Japanese University Entrance Exam from 1990 that makes interesting use of these concepts. The document I took this from is here - the problem is from the first sample test on page 4.

Suppose the polynomial P(x) with integer coefficients satisfies the following conditions:

(A) If P(x) is divided by x^2-4x+3, the remainder is 65x-68

(B) If P(x) is divided by x^2+6x-7, the remainder is -5x+a

Then we know that a={?}.

Let us find the remainder bx+c when P(x) is divided by x^2+4x-21.
Condition (A) implies that {?}b+c={?}.
Condition (B) implies that {?}b+c={?}.
It follows that b={?} and c={?}

I've changed the notation of the answers a little in the hope of making it less confusing - you can see the original by clicking through the link.

I got pretty tangled up in solving this problem because I had never seen the Remainder Theorem used in quite this way before. The answers for this are on page 5 of the original.

housekeeping

Turns out I have a Spam Box at Blogger, which contains 170 comments Blogger thought might be spam.

Am going through them now.

AP calculus scores & stereotype threat

As I understand it, stereotype threat is essentially a self-fulfilling prophecy that takes place below the level of consciousness -- although when I experienced stereotype threat while competing on a television game show my thoughts were conscious, intense, and pretty close to crippling.

I had won a spot on Sale of the Century, and when the big moment arrived I was to play against two men: one white and one black.

I was gripped by stage fright. Sitting in the studio with the group of aspiring contestants who had made the first cut, waiting to see whether I would be called, I felt so terrified I wanted to bolt from the room.

The only thing stopping me bolting from the room was the stage fright I felt at the prospect of people watching me bolt from the room. Which is worse? Having a roomful of strangers watch you play a game show? Or having a roomful of strangers watch you run screaming from the room instead of playing a game show?

I chose door number one and stayed put in my chair; and when I was called to play, two men were called to play, too. I was led to the seat between them.

Suddenly, entirely unbidden, my Betrayer Self began to think: "I can't win against men. I can't win against men. I can't win against men." Over and over again. "I can't win against men."

I was aghast.

I had an Ivy League degree and a Ph.D.; I was a committed feminist; I thought the idea that men were my betters was hooey. Plus I knew boatloads of random factoids and trivia, and Sale of the Century was a random factoids and trivia contest. Yet there I was thinking -- thinking very loudly -- "I can't win against men." Until that moment, I had had no idea I felt that way.

So when it comes to stereotype threat, I'm a believer.

I won that game, but the reason I won was that the black contestant, who was a better player than I, appeared to be suffering an even worse case of stereotype threat than the one threatening to derail me. I won't tell that part of the story here. Suffice it to say that he made an on-camera allusion to what he was feeling just before choosing the wrong square on the board and giving the wrong answer: and losing the game. It was a painful moment. More than painful; it was excruciating. I recall a murmur of what sounded like distress running through the audience.

I managed to defeat the white male contestant mostly because a) he appeared to be just as panicked as I was and b) I knew a lot more random factoids and trivia than he did. And heaven only knows what kind of stereotype threat might have been hammering his brain. Stereotype threat isn't just for for blacks and women; it's for everyone. In fact, you can lower the math performance of white male students attending Stanford University if you remind them, before they take the test, that they aren't Asian.

After I won the game, I calmed down and won two more games, then retired with cash instead of gambling my certain winnings to play on in hopes of making it to much bigger winnings at the top: a classic example of Kahneman and Tversky's concept of loss aversion.

Back to stereotype threat. Sian Beilock discusses stereotype threat at length in Choke. Turns out there is a (disputed) study of stereotype threat and AP calculus scores finding that when test-takers fill out the personal info form, which includes gender, after they've finished the test instead of before, girls score better. (The dispute has to do with statistic methodologies and significance.)

From the 'pro' authors:

Pragmatically speaking, the “trivial” differences carefully dismissed in Stricker and Ward (2004) can translate into very large practical effects, with real theoretical meaning. The inquiry manipulation reduces the gender difference to less than one third its original size. Instead of a ratio of about 6 girls receiving AP credit for every 9 boys who obtain credit, the new manipulation generates a ratio of about 8 girls receiving AP credit for every 9 boys.

How would this manipulation affect females at the population level of all students taking AP Calculus AB? Stricker and Ward (2004) told us that 52,465 boys and 47,275 girls took the test in 1995 (p. 669). ... [C]hanging the way the tests are administered would increase the number of girls receiving AP Calculus credit from 15,081 to 17,870 in a year—an increase of 2,789 young women starting college each year with Calculus credit.

This size number should not be below the radar. The number of people taking the AP Calculus AB test is increasing. In 2004, there were 88,809 boys and 81,521 girls who took the exam (College Board, 2004), which represents an increase of 70.8% since Stricker and Ward collected data in 1995. All other things being equal, we estimate that 4,763 more women would receive AP Calculus AB credit if the timing were changed. We are convinced that stereotype threat in real-world testing situations can have a significant effect on test takers, and Stricker and Ward’s (2004) data support this conclusion.

Stereotype Threat, Inquiring About Test Takers' Ethnicity and Gender, and Standardized Test Performance
Lawrence J. Stricker, William C. Ward
Journal of Applied Social Psychology
Volume 34, Issue 4, pages 665–693, April 2004


Stereotype Threat in Applied Settings Re-Examined
Kelly Danaher and Christian S. Crandall
Journal of Applied Social Psychology
Volume 38, Issue 6, pages 1639–1655, June 2008
[figures drawn from Danaher and Crandall]


Stereotype Threat in Applied Settings Re-Examined: A Reply†
Lawrence J. Stricker, William C. Ward
Journal of Applied Social Psychology
Volume 38, Issue 6, pages 1656–1663, June 2008

SAT equivalent scores

Convert individual and mean scores from the original scale to the recentered scale

In April 1995, the College Board recentered the score scales for all tests in the SAT Program to reflect the contemporary test-taking population. Recentering reestablished the average score for a study group of 1990 seniors at about 500—the midpoint of the 200-to-800 scale—allowing students, schools, and colleges to more easily interpret their scores in relation to those of a similar group of college-bound seniors.

A 700 on critical reading today was a 640 prior to 1995.

A 700 on math today was a 710 prior to 1995, and the math test today covers more material.

test prep

Debbie sent me a link to a story that contains this fabulous passage:

José Solís, 36, shut down his application process for a master’s in business and environmental science because of noncompetitive GMAT results. After taking the test in 2009, he knew grad schools were “going to blow right past me in the application process.” While working for an architecture firm in Houston, he started taking algebra, statistics and accounting classes at a community college, which was less expensive than commercial prep courses. “I really learned the fundamentals and not just tricks,” he says. “Taking all these courses kind of got me back in the mode of studying again.”

Almost a year later, he retook the GMAT. “When I saw my score, which you can see instantly, I almost fell out of my chair. It was exactly the average of the schools I was applying to.” As an afterthought, he took the G.R.E. and scored just short of a perfect 800 on the math. He has accepted a fellowship at the University of Michigan.
A Little Rusty?
By KATHLEEN McELROY
Published: July 22, 2011

sleep

What have I learned taking timed SAT math tests?

Apart from how to answer tricky SAT math questions fast?

I have learned once and for all that sleep loss is catastrophic.

I had always been vaguely aware that I "don't function well" on too-little sleep, but it wasn't until I started taking -- and more importantly scoring -- SAT math sections that I realized exactly how not well.

From Permission to Sleep In by Christopher Shea | July 7, 2011, 12:02 PM ET:

Researchers [at Stanford University] measured shooting percentages, sprint and reaction times, and subjective mood for 11 members of the men’s basketball team, for two-to-four weeks during the 2005 and 2008 seasons, as the players followed their ordinary sleep schedules. (Average sleep, according to a motion-detection bracelet: 6.7 hours.)

Then for five to seven weeks the players boosted their sleep time to 10 hours. They were encouraged to take daytime naps when they couldn’t meet that goal.

With the additional pillow time, players dropped their average time on a routine sprinting drill (from the baseline to half court and back, then to the opposite baseline and back) to 15.5 seconds, from 16.2 seconds. Performance on free throws improved to 88%, from 79%. Three-point shots made jumped to 77% from 68%.

Basic reactions, gauged by having players push a button after spotting a stimulus on a screen, improved by 12%, and players were happier.
Source: “The Effects of Sleep Extension on the Athletic Performance of Collegiate Basketball Players,” Cheri D. Mah, Kenneth E. Mah, Eric J. Kezirian and William C. Dement, Sleep (July)

These are young, healthy varsity athletes.

When I take an SAT math section on a good night's sleep (or maybe a good week of good nights' sleep), I miss 0 to 1 questions. Two questions at most.

The other day I took a PSAT math section in a hot room after several nights of going to bed late and getting up early, and I missed 5 questions out of 18, all of them problems I normally get right.

A five-out-of-fifteen miss rate at this stage of the game is, for me, a collapse. Projecting the same percent correct across the 3 math sections of an SAT I, that's a drop from a score in the 700 to 800 range to a score at the bottom of the 600s.

One hundred points. At least.

I'm asking myself what this translates to in terms of lost writing productivity over the years.

working memory in children

[T]he findings from this study indicate that the three main components of the Baddeley and Hitch (1974) model of working memory are in place by 6 years of age. The capacity of each component increases linearly from age 4 to early adolescence.


The Structure of Working Memory From 4 to 15 Years of Age
Susan E. Gathercole
University of Durham Susan J. Pickering, Benjamin Ambridge,
and Hannah Wearing
University of Bristol
Developmental Psychology 2004, Vol. 40, No. 2, 177–190

Children have lower working memory than adults, and lower working memory has ramifications for language learning and some cases of problem solving.

Tiger Mom

Debbie's been telling me for ages how wonderful Battle Hymn of the Tiger Mom is, and I finally bought the book.

She's right. It's incredible.

Here is the first page:

This is a story about a mother, two daughters, and two dogs. It’s also about Mozart and Mendelssohn, the piano and the violin, and how we made it to Carnegie Hall.

This was supposed to be a story of how Chinese parents are better at raising kids than Western ones.

But instead, it’s about a bitter clash of cultures, a fleeting taste of glory, and how I was humbled by a thirteen-year-old.

A lot of parents whose kids are heading off to college will find the book moving, especially parents who've been part of kitchen table math. All the things you wanted to do, and tried to do, and failed to do because your kids had other ideas....your kids and your schools and your culture: all the things you didn't manage to do because no one thought it was a really good idea to spend 4 years of your child's life reteaching math (and spelling) at home so he could be on par with his peers in Europe and Asia.

Hard to sort it all out.

That's what the book is about, though for Amy Chua's kids the contested territory was music, not math.

Battle Hymn of the Tiger Mother is the memoir of a Chinese afterschooler.

Are Schools Preparing Students Well for the SAT?

The College Board's website says in many different places that the best way to prepare for the test is to do well in school:

Keep in mind that the foundation of a student's SAT and college preparation is a rigorous curriculum of English, mathematics, science, history, and other academic subjects. Students should read extensively and develop good writing skills.

I want that for my children.

My question is, are schools really teaching this rigorous academic curriculum that the college board says is the best prep for the test ?

I took my son's 10th grade PSAT the other day, and found myself aghast (again) at how darn hard this test is. I'm not opposed to rigor, by the way; just wondering if our schools are on the same page.

There were passages dealing with Descartes, dualism, genomes, and neuroscience. Students had to compare two passages that were extremely sophisticated, with both authors agreeing on the main point, but from different perspectives, and their distinctions were subtle.

Not easy......

Cross posted on Perfect Score Project

when smart is dumb

Directions:

Make each statement true by moving just one matchstick.

In Choke, Sian Bielock discusses a study in which more than 90% of adults with normal working memory correctly answered the first problem. Roughly the same number of people with damaged working memories also got it right.

Only 43% of normal adults got the answer to the second problem, while 82% of patients with damage to the prefrontal cortex figured it out.

I believe high-functioning people with autism (or a healthy loading of autism genes) will also have a high rate of success on problem number 2, but that's just me.

Better without (lateral) frontal cortex? Insight problems solved by frontal patients
Carlo Reverberi,1,2 Alessio Toraldo,3 Serena D’Agostini4 and Miran Skrap4
Brain (2005), 128, 2882–2890

working memory

Just came across this textbook chapter on working memory and thought I'd share it. Don't know who wrote it.

Bielock writes that "working-memory differences across people account for between 50 percent to 70 percent of individual differences in abstract reasoning ability or fluid intelligence."

Working memory also makes you dumber in some situations.

I'll get to that later.

adults and children - language learning

Age Effect Problems in F.L. Acquisition

• Language is better learned at an earlier age.

• Despite numerous methods of explicit language instruction, older children and adult learners do not reach a native level of language proficiency.

• Adults generally learn the word order and semantic aspects of language more quickly than children but usually never master the grammatical aspects.

The Application of the Less is More Hypothesis in Foreign Language Learning (Powerpoint)
(Simone L. Chin, Alan W. Kersten)
Cognitive Science Program
Kwon Ahram

article:

The Application of the Less is More Hypothesis in Foreign Language Learning
Simone L. Chin (schin2@fau.edu)
Florida Atlantic University, Psychology Department
777 Glades Road, Boca Raton, FL 33431
Alan W. Kersten (akersten@fau.edu)
Florida Atlantic University, Psychology Department
777 Glades Road, Boca Raton, FL 33431

second language learning - the "less is more" hypothesis

I'm reading Choke by Sian Beilock, a terrific book. Mostly it's about why and how people choke under pressure, but I've been surprised at the number of ancillary topics that turn out to be related to choking -- including foreign language learning by grown-ups.

Beilock says that the reason children learn language better than adults is that children have less working memory (pdf file). Less is more.

She has fascinating things to say about math and problem solving, too.

Statement of Research Interests (pdf file)
Alan W. Kersten
This research has been testing one hypothesis for why adults have so much difficulty successfully acquiring a second language, namely the “Less is More” hypothesis of Elissa Newport (1990). According to this hypothesis, the reduced working memory capacity of children relative to adults actually results in better language learningby forcing children to focus on small chunks of language. Adults, on the other hand, can remember larger chunks of language, allowing them to memorize useful expressions in a foreign language (e.g., “Where is the bathroom?”), but making it difficult for them to extract the lower-level meaning elements from which those expressions are constructed. Adults are thus limited to the set of phrases that they have acquired, and are unable to recombine the lower level elements from which those phrases are constructed to express novel meanings. If this hypothesis is correct, one may predict that adults will learn a language better if they are forced to focus on small chunks of language rather than being allowed to learn entire phrases. We have tested this prediction using a miniature artificial language learning paradigm (see Kersten & Earles, 2001). One group of adults was presented immediately with complete “sentences” from this language, whereas a second group was presented initially only with individual words from the language. This second group was subsequently presented with incrementally longer chunks of language until ultimately they were hearing the same sentences that the other group heard all along. The group that was initially forced to focus on small chunks of language showed better ultimate learning of the word meanings and morphology of that language, consistent with the “Less is More” hypothesis. We are currently investigating whether starting small benefits the acquisition of a natural language with more complex grammar, namely French (Chin & Kersten, in press).

update: Less Is Less in Language Acquisition

a company labels its products...

AA2

A company labels its product with a three-character code. Each code consists of two letters (not necessarily different) from the 26 letters of the English alphabet, followed by one digit, as shown above. What is the total number of such codes that are available for labeling the company's product?

I'll post the answer in the comments thread later.

My answer is wrong, and I don't understand why.

David Sedaris on language lessons

Ah, grammar. How dry. How boring. Right up there with those tedious times tables and those soul-sapping algorithms of arithmetic.

But then here's David Sedaris in the latest New Yorker reflecting on the Pimsleur language program:

Thanks to Japanese I and II, I’m able to buy train tickets, count to nine hundred and ninety-nine thousand, and say, whenever someone is giving me change, “Now you are giving me change.” I can manage in a restaurant, take a cab, and even make small talk with the driver. “Do you have children?” I ask. “Will you take a vacation this year?” “Where to?” When he turns it around, as Japanese cabdrivers are inclined to do, I tell him that I have three children, a big boy and two little girls. If Pimsleur included “I am a middle-aged homosexual and thus make do with a niece I never see and a very small godson,” I’d say that. In the meantime, I work with what I have.

The problem is that Pimsleur is all about mimicry:

Pimsleur's a big help when it comes to pronunciation. The actors are native speakers, and they don't slow down for your benefit. The drawbacks are that they never explain anything or teach you to think for yourself. Instead of being provided with building-blocks which would allow you to construct a sentence of your own, you're left using the hundreds or thousands of sentences you have memorized. That means waiting for a particular situation to arise in order to comment on it; either that or becoming one of those weird non-sequitur people, the kind who, when asked a question about paint color, answer, "There is a bank in front of the train station,"or, "Mrs. Yamada Ito has been playing tennis for fifteen years."

What are those "building-blocks which would allow you to construct a sentence of your own," and, equally importantly, the rules that tell you how to put those building blocks together? That dry, tedious, soul-sapping entity known (or sort of known) as Grammar.

However tedious and soul-sapping it is to do so, mastering a language's grammar rules is the only way to move beyond mimicry and use the language creatively: the only way to move from  "I have three children, a big boy and two little girls" to “I am a middle-aged homosexual and thus make do with a niece I never see and a very small godson.”

Pimsleur isn't alone in presuming that you can master a language without learning its grammar; the biggest seller of this fiction is Rosetta Stone (whose slogan, ironically, is "More than Words. Understanding.") Other grammar-denialists (as I discuss here) are k12 foreign language curriculum developers, as well as (as I discuss here) autism therapists and the general American public. It's a vicious cycle that worsens with each succeeding generation of mis-educated students, more of whom need to spend time attempting to converse with Japanese cabbies before foisting their language lessons on the rest of us. Thank you, David Sedaris, for yours!

(Cross-posted at Out in Left Field)

The Learning Part is Easy; It's the Remembering That's Hard

A commenter pointed me to this Wired article about Piotr Wozniak and SuperMemo. Has anyone tried SuperMemo?

These quotes from the article describe how I feel, to a tee.

Learning things is easy. But remembering them — this is where a certain hopelessness sets in.

Wozniak felt that his ability to rationally control his life was slipping away. "There were 80 phone calls per day to handle. There was no time for learning, no time for programming, no time for sleep...."

Our capacity to learn is amazingly large. But optimal learning demands a kind of rational control over ourselves that does not come easily. Even the basic demand for regularity can be daunting.

(cross posted on Perfect Score Project)

how the SAT changed in 2006

I'm tossing old papers, or trying to, and in my rummaging came across this Times article from 2005.

I was tickled to see that one of the problem types added to the revised test was the absolute value inequality word problem, a category I had never seen or imagined until I encountered one in Dr. Chung's SAT Math:

For pumpkin carving, Mr. Sephera will not use pumpkins that weigh less than 2 pounds or more than 10 pounds. If x represents the weight of a pumpkin, in pounds, he will not use, which of the following inequalities represents all possible values of x?
a. | x - 2 | > 10
b. | x - 4 | > 6
c. | x - 5 | > 5
d. | x - 6 | > 4
e. | x - 10 | > 4

Pop Quiz; New and (Maybe) Improved
Published: November 7, 2004

Talk about inflexible knowledge. Somehow I had concluded that absolute value inequality calculations were just that: calculations. Arithmetic. I was stunned to discover that you could have an absolute value inequality word problem.

Wonders never cease.

Elizabeth King's explanation of these problems is excellent.

 

Algebra Review: Laying the Groundwork for Pre-Calculus

I've been using Michael Sullivan's Algebra and Trigonometry textbook for the last few years to teach College Algebra/Pre-Calculus/Trigonometry on the quarter system, but we're switching to John Coburn's Algebra and Trigonometry next year. They're both pretty good textbooks.

In building Pre-Calculus curriculum I've drawn mainly from four textbooks:

Mary Dolciani - Modern Introductory Analysis (original copyright 1964, my edition is from 1986)

Richard Brown/David Robbins - Advanced Mathematics (this copyright is from 1984, a newer edition of this book is here)

Paul Foerster - Pre-Calculus with Trigonometry (copyright 1987)

Max Sobel/Norbert Lerner - Pre-Calculus Mathematics (copyright 1995)

I had thought about using the Sobel/Lerner book for the Pre-Calculus course I developed for Clatsop Community College, and even e-mailed Max Sobel asking him about a new edition of that text, but he very kindly replied that he had retired (I also have the Harper & Row Algebra I and II textbooks from his series with Evan Maletsky and like these as well).

One of the things I liked about the Sobel/Lerner textbook was the coverage of rational expressions that several of the other books I had considered didn't have. I like rational expressions because this topic requires a firm grasp of many of the most important concepts from algebra – factoring and multiplying of bi- and trinomials, simplifying complex expressions, and combining like terms in the context of manipulating algebraic fractions. If students understand numerical fractions it helps a lot.

When I teach College Algebra courses at Clatsop CC, I often begin with exercises like (x+7)(2x-3) – (x+1)(x+5) to address these topics and prepare the students for when they see this again in working with rational expressions. Another good example is (x+6)(3x+1) – (x+2)^2, to get them used to seeing the squared binomial. ( I make the squared binomial a regular visitor in most of my algebra classes). These expressions often appear as the numerator of a combined fraction in a problem like (x+7)/(x+1) – (x+5)/(2x-3).

Here is a link to a collection of problems I often assign for this topic.

I recently began to reacquaint myself with the College Board Math II Subject Test which I had taken after taking Pre-Calculus in the spring of 1982. The first question on the sample test I looked at was intriguing, and an understanding of rational expressions is really useful in finding a quick solution:

If 3x+6=(k/4)(x+2), then k=

a) ¼

b) 3

c) 4

d) 12

e) 24

In this problem, dividing through by (x+2) so that 3=k/4 (and 12=k) gives the almost instantaneous answer we need for a timed test. This is an interesting problem because it really gets at the concepts involved in working with factors in an equation.

In the Sobel/Lerner textbook, Sections 1.7, 1.8 and 1.9 cover the algebra review (multiplying polynomials, combining like terms, factoring polynomials and rational expressions) necessary to move on. This is where it is important to illustrate these topics with problems, because when I say “combining like terms,” I don't mean 2x+5x. While this type of problem could be appropriate when first teaching the concept, in the context of review for Pre-Calculus, a problem from the Sobel/Lerner text like (x^3-2x+1)(2x)+(x^2-2)(3x^2-2) is better practice for using these skills together.

This is something that I consider extremely important and that textbooks and assessments often don't include enough of – using the skills together. Learning skills in isolation is useful to grasp each skill individually, but to really DO MATH, a student must be able to make decisions about what to do and when. Something that I like about the Pre-Calculus curriculum is that it lends itself well to the type of problem in which the tools of algebra must be applied in a variety of situations.

The Brown/Robbins text covers complex numbers and the quadratic formula in Chapter 1 (1-4, 1-5) and then the solution of equations involving rational expressions in Section 2-2. Chapter 2 goes on to examine the graphing of quadratic and polynomial curves and finishes with material on finding rational roots.

The Sullivan book covers polynomials and algebra in sections R.4, R.5 and R.7, Coburn covers this in sections R.3, R.4 and R.5.

The Foerster and Dolciani texts don't really cover much algebra review at all, but, as a result, they explore a number of topics the other books don't. I'll probably follow a path similar to the Brown/Robbins book and talk about rational roots next.

practice in school

Hey everyone - I'm back from IL (didn't get to see Susan S - darn!) - and have just read a brilliant comment left by Lynne Dilligent on Joanne Jacobs' blog. Lynne's comment sums up a core frustration I've felt with the schools forever, re: the need for the school, not the parents, to be in charge of providing and overseeing the practice children need to learn what they're supposed to be learning.

Must go do "SAT work" with C. -- back in a little bit.

(Thanks to Barry for sending the link.)

Competing Memory Issue

Six months into this SAT project, and I've repeatedly experienced that learning something new only sticks, until I learn something else new. Very frustrating.

Reminds me of my daughter who tells me that it's very hard for her to get good grades in every subject at the same time. (I get it now, deeply.)

There's a new study from Beth Israel researchers about this competing memory issue:

For the last 100 years, it has been appreciated that trying to learn facts and skills in quick succession can be a frustrating exercise,” explains Edwin Robertson, MD, DPhil, an Associate Professor of Neurology at Harvard Medical School and BIDMC. “Because no sooner has a new memory been acquired than its retention is jeopardized by learning another fact or skill.

....and a possible new solution:

TMS is a noninvasive technique that uses a magnetic simulator to generate a magnetic field that can create a flow of current in the brain......They discovered that by applying TMS to specific brain areas, they were able to reduce the interference and competition between the motor skill and word-list tasks and both memories remained intact.

On a related note, I have started working with a Cognitive Psychologist on my working memory. Yesterday's appointment: IQ test.

(Cross Posted on Perfect Score Project)

Practice Makes Perfect (But only Briefly)

Sustained practice makes the kind of perfect I'm looking for.

More inspiration from Daniel Willingham:

When we refer to "practice," it is important to be clear that it differs from play (which is done purely for one's own pleasure), performance (which is done for the pleasure of others), and work (which is done for compensation). Practice is done for the sake of improvement. Practice, therefore, requires concentration and requires feedback about whether or not progress is being made. Plainly put, practice is not easy. It requires a student's time and effort, and it is, therefore, worth considering when it is appropriate.

(cross-posted on Perfect Score Project)

Throwing Curves: New Posts

While Catherine is away, check out new posts at Throwing Curves.

gone fishing

I'm in Chicago 'til next Wednesday - see you then!

Rich Beveridge on pre-calculus

Rich Beveridge writes:

I suppose that my experience with Pre-Calculus curriculum began in Steve Patterson’s Pre-Calculus class at Briarcliff High School in the 1981-82 school year. Pre-Calculus always stuck out in my mind because it was the only math course that was completely locally developed. Algebra I, II, and Geometry all had Regents exams and the Calculus course was AP Calculus.

I remember studying Conic Sections, Polynomial Long Division and Synthetic Division, the Rational Roots Theorem (and its proof), elementary Discrete Math (permutations, combinations and binomial probability), Polar Coordinate graphing and hand calculating Riemann Sums at the end of the year. I took the College Board Math Achievement Test II (now the SAT Subject Test Math II) after completing the Pre-Calculus course so I recently looked at some current sample questions and saw these same topics – Analytic Geometry, Permutations & Combinations, Synthetic Division, Functions, Sequences & Series.

During the 1999-2000 school year, I taught Pre-Calculus at Maine Central Institute in Pittsfield, Maine. The school was using the Chicago Series text Functions, Statistics and Trigonometry for their Pre-Calculus course. I know that some teachers like the Chicago Series and FST in particular, but I didn’t really get much use out of the textbook, and began to supplement. Standard textbooks can be supplemented quite easily because the order and difficulty level of the topics is often similar. I found that the Chicago Series was very difficult to supplement and just began to create separate materials for the students. I collected these assignments in a binder and showed this to the University of Maine math department when I was interviewing for an adjunct position the following year (yeah - I didn’t stay at MCI very long – they were sticklers for using the approved textbook). I taught as an adjunct at UMaine for two years before beginning their MA program in Math.

I'm hoping Rich will write more posts for us.

summer reruns

I just came across this old post by Ken DeRosa!

Apropos in this summer of SAT math prep.

Maybe PWN will tell us what level of difficulty this problem would be rated on the SAT. I'm thinking 3 or possibly 4, and it would be a 4 only because a lot of students haven't taken algebra 2.

Lewis M. Andrews on why suburban schools don't change

How is it that intelligent and motivated parents, many sacrificing financially to afford homes in the most expensive suburbs, end up as uncritical supporters of a public school system...?

IN THEIR HEARTS, says University of Missouri political science professor J. Martin Rochester, many suburban parents know something is wrong. When he interviewed 250 executives of leading corporations for his book on suburban education (Class Warfare: Besieged Schools, Bewildered Parents, Betrayed Kids and the Attack on Excellence), most believed their local schools suffered from programs that are "diluted, distracted, and diffused from the basic mission of education."

The problem, he concluded, is that over decades suburban schools have developed effective techniques for promoting ideas that support the convenience of teachers and administrators, while excluding information and research that would require a change in policies, practices, and personnel.

It starts at the top with boards of education composed largely of busy volunteers, who over-rely on the guidance of superintendents, and goes all the way down to the interactions between teachers and individual parents. When suburbanites join school curriculum committees, for example, they are rarely presented with all sides of an issue and seldom informed of all the relevant research. Critical parents, Professor Rochester found, "end up being demonized as right-wingers or troublemakers."

Other writers who have studied the academic deficiencies of suburban schools reach a similar conclusion. When EducationNews.org columnist Barry Garelick examined the inability of three Maryland districts to successfully incorporate a superior math curriculum from Singapore, he found that teachers skillfully used vague technical jargon and inflexible rules to discredit aspects of the program that required them to learn new skills.

As suggested by the title of his book Oversold and Underused: Computers in the Classroom, Stanford professor emeritus Larry Cuban finds suburban educators eager to spend public money on the latest technology to create a "leading edge" aura, yet rarely willing to take advantage of its academic potential. "Curricula, teaching methods, and schedules [could] all be customized to meet the learning styles and life situations of individual students," says Cuban, and "coursework from the most remedial to the most advanced can be made available to everyone...(but educators take) action to prevent technology from transforming American education."

Dr. Armand Fusco, a retired Branford, Connecticut school superintendent who has written and lectured widely on the deficiencies of suburban districts, sees similar problems: "It's one thing for parents to intuit a problem, quite another to do anything about it when educators with advanced degrees flash their credentials and have glib answers for every question."

Superintendents, for example, will always brag that their local public school students perform just as well on state mastery tests as students in neighboring affluent suburbs. What they neglect to mention is that any mediocre suburban school will appear successful, just so long as it is surrounded by other mediocre suburban schools and their average test scores are higher than those of nearby urban districts.

Dr. Fusco believes that the federal No Child Left Behind law had it right when it sought to measure the performance of individual schools, but it was aimed at demographic groups least able to do anything about the results. "What's needed is data that makes it clear to suburbanites just how badly served their own children really are."
Meet the Suburban Parents

Lewis M. Andrews on suburban schools and tutors

One telling indicator of the low quality of suburban schools is the rise of tutoring. In 2008, PBS's Nightly Business Report estimated professional tutoring to be a $4 billion industry that year, concentrated in the suburbs, with a 10 percent estimated annual growth rate.

Even this figure does not take into account either the common off-the-books arrangements with moonlighting teachers or burgeoning Internet options. With small online providers like Colorado-based e-Tutor seeing revenue jump from $180,000 in 2009 to a quarter million in 2010 despite the recession, the Kaplan online university division of the Washington Post has launched its own reading and math programs for elementary and middle school students.
Meet the Suburban Parents

Mike Petrilli on suburban parents

When I think about my aspirations for my boys (ages 3 and 1), I take as a given that they will do fine academically. Maybe that’s naive, but I just assume that they will end up going to a good college, find interesting work, and so forth. What I want for them is to enjoy the ride along the way: Make close friends, have plenty of time for play, learn to be part of a team (athletic or otherwise), tap into their artistic nature, spend as much time outdoors as possible. These inclinations led my wife and I to pick a Waldorf preschool for their early years. We’re not sure we’ll stick with such an “alternative” approach over the long term. But I surely don’t want my boys anywhere near a “testing factory.”

[snip]

But with a degree of affluence comes a degree of luxury. Confident that their kids will do OK academically and vocationally, I bet that many upper-middle class parents want to reach for something more: Emotional health, spiritual fulfillment, a sense of social responsibility. And thus the frills that Lewis derides (like all manner of extra-curricular activities) become quite important. And as for the test scores–well, who cares if they are really, really high or just really high?

Understanding upper-middle-class parents

Good enough is good enough.

Mike Petrilli is an Executive Editor of Education Next and an Executive Vice President of the Fordham Foundation.

and see:
decline at the top
nominally high-performing schools

school board member responds to Petrilli

Mike Rose writing at Flypaper:

...it sorta sounds like you’re making a “schools are academically good enough” argument.

I’m a former school board member from an affluent district. We spent – and continue to spend – lavishly on millon dollar artificial turf football fields, band, pottery kilns, and so on. Students take cultural trips to musical events, museums, and plays. The 23 buildings are fairly new, energy efficient, and freshly painted and carpeted. The district spends approximately $1000 per participant on athletics. Overall the kids and parents seem satisfied.

But we have no gifted and talented program. Our AP participation is below other socio-economically similar districts. ACT scores are in the 98th percentile for Michigan public schools, but are not particularly impressive when compared to non-publics, or the International Academy (a public consortium), whose students have similar socio-economic status. The ACT scores of Michigan schools overall are not particularly impressive (I know… an entirely different debate!).

They do very little scholarship counseling.

Our graduates get accepted into good universities, and do get scholarships. However, anecdotally, parents (and graduates) talk of needing to take remedial classes once they get to college. Some bomb out and drop out, heading back to community college for a year or two. It’s anecdotal because the district makes no effort to obtain or analyze matriculation reports.

And the scholarships earned in the district pale by comparison to non-publics and neighboring “high performing” districts.

By the yardstick you’ve offered… I too should be happy because I’m sure my kids will get into a good college, and be in a culturally rich environment, and have friends. But will it be their “first choice” college? What sort of scholarship opportunities will be available to them, and more significantly, what opportunities will NOT be available to them in this competitive world? Will they need to take that now infamous fifth year of college because they weren’t quite ready?

Did they have to take that entry level science class that could’ve been skipped had the school encouraged them to take an AP exam? Did they miss out on the FREE college credit they might’ve earned had the school encouraged them to take that AP exam?

Oftentimes parents don’t realize that their children have lost or diminished opportunities until it’s too late… the child has the diploma, and they find themselves challenged by obstacles that were created years ago by the school.

And how would parents know they’re not getting all they can get? Our district has a full time PR person to toot the horn. “Your kids are getting a top-notch education… just ask us and we’ll tell you!” As you are well aware, education is a complicated topic, and most parents don’t have the time or resources to investigate or challenge school assertions.

help desk - fiscal multiplier

We quantify the fiscal multipliers in response to the American Recovery and Reinvestment Act (ARRA) of 2009. We extend the benchmark Smets-Wouters (2007) New Keynesian model, allowing for credit-constrained households, the zero lower bound, government capital and distortionary taxation. The posterior yields modestly positive short-run multipliers around 0.52 and modestly negative long-run multipliers around -0.42. The multiplier is sensitive to the fraction of transfers given to credit-constrained households, the duration of the zero lower bound and the capital. The stimulus results in negative welfare effects for unconstrained agents. The constrained agents gain, if they discount the future substantially.
Fiscal Stimulus and Distortionary Taxation
Thorsten Drautzburg, Harald Uhlig
NBER Working Paper No. 17111
Issued in June 2011
NBER Program(s): EFG

I'm confused about the concept of the fiscal multiplier.

I've read explanations characterizing the multiplier as a simple multiple: if the multiplier is 1.5 and the government spends $1 million, then the net spending beyond that $1 million is $500,000.

1.5 x 1,000,000 = 1,500,000

But that's not right, is it?

What does a multiplier of .52 actually mean in terms of what the public spends beyond the amount the government spent?

highly selective colleges redux

[O]btaining unbiased estimates of the return to college quality is difficult due to unobserved characteristics that affect both a student’s attendance at a highly selective college and their later earnings. In particular, the same characteristics (such as ambition) that lead students to apply to highly selective colleges may also be rewarded in the labor market. Likewise, the attributes that admissions officers are looking for when selecting students for college may be similar to the attributes that employers are seeking when hiring and promoting workers.

Early research attempted to overcome this omitted-variable bias by controlling for observed student characteristics, such as high school grades, standardized test scores, and parental background (see, for example, Monks 2000 and Brewer and Ehrenberg 1996). More recent research has tried to overcome the bias created by unobserved variables through a variety of techniques. Hoekstra (2009) uses a regression discontinuity design that compares the earnings of students who were just above the admissions cutoff for a state university to those that were just below it. He finds that attending the flagship state university results in 20 percent higher earnings five to ten years after graduation for white men, but he does not find an effect on earnings for white women.
Estimating the Return to College Selectivity over the Career Using Administrative Earnings Data
Stacy Dale, Alan B. Krueger
NBER Working Paper No. 17159
Issued in June 2011

I'm not sure how Dale and Krueger interpret the finding of 20% higher earnings five to ten years after graduation in (white male) students who just made the cut-off versus students who just missed it.

I assume they would expect to find that the students who made the cut-off applied to a more selective group of colleges than the students who just missed the cut-off, but I don't know.

highly selective colleges and lifetime earnings

following up on Who gains from attending a highly selective college? :

...[T]he average SAT score of schools that rejected a student is more than twice as strong a predictor of the student’s subsequent earnings as the average SAT score of the school the student attended...

Estimating the Return to College Selectivity over the Career Using Administrative Earnings Data
Stacy Dale, Alan B. Krueger
NBER Working Paper No. 17159
Issued in June 2011

Assuming I'm following the argument, Dale and Krueger are saying that when you account for unmeasured factors such as a student's level of ambition, the selectivity of a school has no effect on the earnings of white children raised by educated parents. In other words, more ambitious students file more ambitious applications; they apply to more highly selective schools than do students who are less ambitious. Same SAT scores, different set of college applications.

I think.

I can email a copy of the article to anyone who'd like to read.

also from the paper:

The high selectivity of the colleges within the C&B [College and Beyond Survey] database make it particularly well-suited for this analysis, because the majority of students that attend selective colleges submit multiple applications, which is necessary for our identification strategy. In contrast, many students who attend less selective colleges submit only one application, because many less selective colleges accept all students who apply. For example, according to data from the National Longitudinal Study of the High School Class of 1972, only 46 percent of students who attended college applied to more than one school.

and:

Nearly two-thirds of the 1976 cohort and 71 percent of the 1989 cohort submitted at least one additional application (in addition to the school they attended). For both cohorts, of those students submitting at least one additional application, over half applied to a school with a higher average SAT score than that of the college they attended, and nearly 90 percent of students were accepted to at least one additional school. Of those accepted to more than one school, about 35 percent were accepted to a more selective school than the one they ended up attending. The data for black and Hispanic students (shown in columns 2 and 4) are similar, though blacks and Hispanics were somewhat more likely than students in the full sample to be accepted to at least one additional school, and to be accepted to a more selective school than the one they attended.

who gains from attending a highly selective college?

Is the Ivy League Worth It?
July 1, 2011, 12:13 PM ET
Christopher Shea | WSJ

Estimating the Return to College Selectivity over the Career Using Administrative Earnings Data (pdf file)
Stacy Dale, Alan B. Krueger
NBER Working Paper No. 17159
Issued in June 2011

from the abstract:

We find that the return to college selectivity is sizeable for both cohorts in regression models that control for variables commonly observed by researchers, such as student high school GPA and SAT scores. However, when we adjust for unobserved student ability by controlling for the average SAT score of the colleges that students applied to, our estimates of the return to college selectivity fall substantially and are generally indistinguishable from zero.

Not having read the paper, I don't understand how controlling for average SAT score of the colleges students applied to, as opposed to simply controlling for SAT scores of the students, makes a difference.

I'm going to download and take a look.

off-topic - vegetables make you thin

Seriously.

They do.

Vegetables make you thin.

I'm starting to see fruits and vegetables (and legumes) the way people used to see diet pills back when it was legal for housewives to take amphetamines to lose weight: eat your vegetables, fruits, and beans, and you can eat anything else you want and still stay thin.

The reason you can eat anything else you want and still stay thin is that you don't want to eat as much as you do when you're not eating beaucoup fruits, vegetables, and legumes. Fruits, vegetables, and legumes are natural appetite suppressants.^*

Here's more evidence:

[R]esearchers from Penn State gave 20 men and 21 women casseroles made with varying amounts of purée — a strategy popularized by the cookbook author Jessica Seinfeld, who has encouraged parents to sneak vegetables into foods like spaghetti.

But in the Penn State study, the goal wasn’t to trick people into eating vegetables. Adding the purée bulked up the dish and resulted in fewer calories per serving. (You can see two of the recipes developed by the researchers here.)

In a macaroni and cheese recipe from the researchers, for instance, the cheese sauce is made with skim milk, reduced-fat cheese and one cup each of puréed cauliflower and puréed summer squash.

The diners were fed the casseroles during different visits. They ate pretty much the same amount of food during each visit and reported no differences in flavor or enjoyment. But when they were served the casseroles made with puréed vegetables, they ate 200 to 350 fewer calories a meal.

“We’ve been able to change recipes a lot, even baked goods, and we’ve been doing it for preschool kids and adults,” said Barbara Rolls, director of Penn State’s laboratory for the study of human ingestive behavior. “We had a huge effect on energy intake. We’re adding cups of veggies to recipes and people don’t even notice.”

Other research by Dr. Rolls, author of the popular diet series Volumetrics has shown that eating soup or salads before a meal can also curb the appetite and result in eating fewer calories over all.

But the stealth-vegetable approach allows diners to eat the same amount of favorite foods without ingesting as many calories.

[snip]

“We offered a Tex-Mex casserole, and we could get away with adding the vegetables much more easily,” she said. “Once you put in those spicy flavors, they mask other changes in calorie density and vegetable content. The people were totally unaware we were adding lots and lots of veggies.”

While the best option is to purée vegetables and add them to home-cooked meals, Dr. Rolls said she hoped the food industry would respond by offering more convenient canned and frozen vegetable purées and more foods bulked up with vegetables
Adding Food and Subtracting Calories
by Tara Parker-Pope
May 2, 2011, 5:03 pm

my rules:
animal fat makes you eat more
plant foods make you eat less



The Sneaky Chef: Simple Strategies for Hiding Healthy Foods in Kids' Favorite Meals
by Missy Chase Lapine

^* I'm not sure plant foods are natural appetite suppressants; it's a 'working hypothesis.' I'm 99% certain palmitic acid makes you eat more.

Richard I and Orange Math on Jeanette, or Jeannette, as the case may be

Richard I says:

My eyes were attracted to the fact that her name is spelt in two different ways. Maybe all this innnvennnntinnnng is goinnnnng to her head?

Of course maybe the n-gon to her head instead?

And here's Orange Math:

I guess I'll cite Jeanette whenever I use that formula. The rule really helps. I tried using a protractor.

Steve H has some questions, too.

Errors on Report Card?

We just got my son's report card and there are numbers on it that don't match up. Our high school uses i-Parent so that parents can get immediate feedback. I like it. We can see and validate all of the homework and test scores. I see no errors in those numbers, and grades are calculated to many decimal digits. However, there seems to be some sort of problem translating those numbers into whatever computer system our high school uses for reporting grades. Interestingly, his final course grades look correct, but some are mathematically incompatible with the quarter grades on his report card, and they don't match i-Parent. Of course, the final grades are rounded off so there is a limit to what correct means. I-Parent just records the grades for each quarter. It does not include the midterm and final tests or try to calculate a semester or yearly final grade. However, the formula for semester grades is simple; 40% for each quarter and 20% for the midterm or final. Semester 1 and 2 grades are averaged to get the final grade for the course.

Have others run into grading calculation or reporting issues? I'm paranoid now because I see numbers that don't match or add up. Final grades are rounded so I can't check to see if they agree with my calculations, and the class rank is based on a weighting scheme that might use rounded grades rather than the the real numbers. They did not include a weighted rank number on the report card, so I couldn't check that. I sent off an email to the guidance department, but I don't know if anyone is there during the summer.