"The Joy of X"

here

Speaking of joy, I finally got back to my ALEKS geometry course,^* which I abandoned last August after my mother fell.

My mother is continuing to improve, by the way. Which means the four death talks -- four -- that various doctors initiated with me and my siblings were premature.

Actually, the four death talks appear to have been not only premature but wrong in every respect. Take, for instance, the observation, made by my mom's intensivist in ICU, that: "Your mother has tiny little lungs and an enormously enlarged heart. Her only hope of survival would be a heart-lung transplant."

That appears to be codswallop, according to my mom's new cardiologist. "Heart function is good." "Heart muscle is strong." "Ejection fraction is normal." "Pulmonary hypertension has resolved." And so on.

Also, the diagnosis of congestive heart failure: wrong, it seems. My mom tells me she was given a brochure on congestive heart failure sometime after her heart attack 5 years ago, which informed her that a person in her situation had 5 years to live, max. Also wrong. Unless, of course, she doesn't have congestive heart failure (confusion reigns amongst us family members), in which case the brochure is possibly right but irrelevant.

Meanwhile, the physicians associated with the nursing home where my mom is recuperating have been operating under the assumption that my mother's diagnosis is congestive heart failure so they are now trying to nail that down. Congestive heart failure: yes or no? That is the question. The nephrologist (my mother does have kidney failure; of that we are sure) says she is going to read the entire history.

oh, man

My life goal: vegan my way to a healthy old age and die in my sleep. By then I will have spent a good 30 years dealing with the public schools; I don't want to spend the last 20 wrangling with hospital intensivists and hospice-touting PCPs. Noooooooooo.

That said, I will also point out that modern medicine is a miracle. Wow. My mom is alive and recovering because emergency rooms do what they do and dialysis machines & nephrologists do what they do and a good nursing home does what it does - because they all do what they do. Modern medicine keeps desperately sick and dying people alive and then some.

true story: in February I flew back to Chicago and went with my mom to an appointment with her new cardiologist. We're sitting together in his tiny office, my mother is back from the grave and getting around by wheelchair and medi-van...... and the doctor tells her to "lose weight and exercise." In 6 months we have gone from "tiny little lungs and an enormously enlarged heart" to "lose weight and exercise."

Alright, then!

Seriously, though, I don't know what to make of our experience thus far, and I have made a conscious decision not to delve into the literature on US medicine. (Also banned: the literature on US food industry.) I've read just enough to see that some of the institutional problems besetting health care are similar to institutional problems besetting public education, and that is helpful and intellectually stimulating to know. But that's enough. If I start finding out what goes on in your basic American hospital, my head will explode. Ditto for factory farming and the USDA.

The one tentative conclusion I hold at the moment: doctors aren't particularly expert at making predictions about an individual patient's immediate future. That's fine with me. I want doctors to save my mother's life, not ship her off to hospice because things look bad. And save her life is what they did.

My advice, which I realize is not original but bears repeating: when you're dealing with major medical, keep your wits about you and take things with a grain of salt.

And: if different doctors are telling you different things, pay attention to that fact. In our case, we were getting so much bad news about our mother, doctors were so insistent the jig was up, that we discounted the observations of doctors who weren't telling us that death was imminent. Not long after the intensivist told us my mom's only hope was a heart-lung transplant, another doctor told us, "She's doing well. This is what we do in ICU. We support a patient's organs and bodily systems while the patient recovers to the point that they can function on their own."

Hearing this, my sister and I thought, in so many words: this guy is nuts.

Then, during my mom's third hospitalization, when I received two hospice-promoting telephone calls from two of her PCPs, the hospital cardiologist told my sister that my mom's heart was strong and we weren't anywhere near hospice decisions. The nurse said the same thing. Another glaring contradiction.

That go-round we reached the reductio ad absurdum of having the hospital social worker apparently develop a suspicion that we children were trying to usher our mother out the door, seeing as how we kept bringing up hospice. The social worker actually interviewed my mother on the subject. What is your relationship with your children, she asked.

Hah!

Next time, Ms. Hospital Social Worker, try asking: What is your relationship with your PCP and why does he keep calling your kids up long-distance to bend their ear about how their mother can have a "peaceful, quiet death" if they talk her into going to hospice sooner rather than later?

My other provisional conclusion: more specialists. Fewer PCPs. (Just kidding.)

In any event, my siblings and I needed to attend to the fact that we were getting wildly different opinions from different physicians, and we needed to find out why that was happening and insist that everyone get on the same page if possible. Instead, we assumed the worst and we grieved. Grieving before the fact clouds your reasoning. I don't think there's any way not to grieve before the fact, but from now on I am going to know that's what I'm doing and try to reason my way around it.

But back to ALEKS. I've got 3 more topics to master, then I return to Algebra 1, which I was working on before I decided to sign up for geometry last June because I was forcing C. to sign up for geometry. During the 9 months I've been away, ALEKS Algebra 1 seems to have grown from 288 topics to 333. Oy. When I switched to Geometry last June, ALEKS erased my Algebra 1 records, but my screen grab says I had mastered 270 topics.

Will I ever get to calculus?




^* Now I just have to get back to Fluenz Spanish and life will be good.

Artsy math; what about mathy art?

Yet another breathless newspaper report of a hands-on, student-centered math class, this one out of North Penn, Pennsylvania. It begins with a typical math diss:

If you think geometry is a bit boring, well, you may be right.

Geometry was one of my favorite math classes--and my favorite class at the time. I especially loved the abstract proofs, and the elegant, infinite world you could construct out of a handful of axioms. This class took me places I'd never been before, and, I think, took my thinking to a whole new level. Writing about it makes me smile.

The article continues:

But for one Pennridge 10th-grade geometry class, a hands-on architecture project has made geometry exciting.

Geometry teacher JoAnn Rubin uses a creative architecture project that teaches her students to use the precision of geometry and architecture as well as the freedom of artistic expression to help all types of students succeed in her math course.

"Not everyone is good at math," Rubin said about the project. "Some kids are really artistic."

The project asks students to create a representation of a building that they think is interesting or original.

They can make a model or a poster or any kind of representation of the building using their geometry skills. There is really only one thing curtailing the student's creativity on the project.

"The only restriction was that the buildings couldn't be rectangular," Rubin said with a smile.

This one restriction led students in many different directions and had them recreating all different kinds of buildings, from architectural classics to the downright bizarre.

Rubin's assignment appears to have fulfilled her goals--with flying colors:

Although the project results were all over the spectrum, students of all mathematical abilities consistently succeeded.

"It's about recognizing that we all have our talents and interests," Rubin said about the project that allowed every student to explore their abilities beyond the chalkboard. "I wanted them to look at the geometry of the actual buildings."

Equality of outcome; celebration of multiple intelligences; real-life examples; it's all there.

But I can't help feeling concerned for one of Rubin's thriving students:

One of the more creative projects was built by Brett Saddington, who turned the parameters for the project completely upside-down.

"I just looked up the world's strangest buildings," Saddington said about the Google search that led him to an upside-down house built in Szymbark, Poland.

He said that he one day hopes to be an architect or an engineer, and he showed off his talent with his topsy-turvy creation.

His teacher is hopeful, too:

Most of Rubin's students will not become architects or engineers, but by giving her students a look at the practical and creative side of geometry, she has given them an appreciation that could take them anywhere.

"They really don't know what direction they may be heading," Rubin said. "But who knows? They may become architects or engineers."

But I'm worried that, in this topsy turvy world of math education, where art is math and appreciation is learning, Brett's high school teachers may never teach him the math he needs to pursue an architecture or engineering degree in college and beyond.

Unless, of course, the art teacher is having Brett and his classmates spend the same amount of time doing math problems about the geometry of perspective drawing and optical wave forms.

yes! (summer plans)

I'm apparently working with the Department of Energy's Ames Lab over the summer under chemist Ning Fang (the guy whose research is on the front page of the web site). While I'm really excited to be investigating the in vivo rotational dynamics of biomolecules by getting cells to "swallow" gold nanoparticle probes, it's also a little out in the middle of nowhere. (Ames, Iowa...)

What do NSF kids do for fun when they're not in the lab? Especially when the lab is out in the Midwest?

The internship also runs from Jun 1 to Aug 6, I also need to figure out what I'm doing between May 15 - May 30 and Aug 7 -- Aug 23 (the days of summer that aren't being used for research). I do not have my own car. In fact I don't yet know how to drive so maybe this would be a good opportunity to take a crash course (literally).

My home is about 700 miles away from my school ... so I don't know if it's worth it go home. My family is a single-parent household and we live on the humble income side so I don't know if it's worth it to go back home to stay cooped in a small apartment for two weeks! (Though the NSF will only pay for transport to and from your home/school, and not say, your uncle's place in NYC. I think. Maybe I can check if they'll be a bit flexible.) Actually I have not yet been to my mother's place ... it's in a totally different city since I moved to college (it's smaller and closer to her work) -- so none of my high school friends are there. So I kind of feel semi-nomadic!

The NSF will also be making me $4250 richer. OK, deduct $300-400 for groceries and the occasional eating out (do people even eat out in Iowa??) ... but I don't know if that affects my EFC (expected family contribution) on my FAFSA, especially if it's government-funded? I know I have to pay tax on it. Should it go to a car... or a med school / grad school fund? My undergrad debt will be about $8k ... assuming my FAFSA EFC doesn't go up. My earnings this year (excluding work-study) are about $1.5k, and AFAIK student doesn't start affecting EFC until it's over $3k. Do NSF stipends count as student income on the FAFSA?

go to video

Dr. M,

In regard to your request for Dempsey & McLaren to define themselves. For the purposes of this discussion we can do a reasonable job in 6 minutes:

Seattle excluded all evidence provided by the public in making the decision to adopt "Discovering" for HS math on May 6, 2009

This was a virtual replay of May 30, 2007 when directors decided to trust their hired professionals instead of using evidence in adopting Everyday Math.

The six minutes is our response to the SPS board on May 20th to their decision to adopt "Discovering" on May 6th.

Let this play past the 4 second intro. Then move the slider to find us from minute 22:15 to minute 28:30

SPS Board meeting video of May 20, 2009 part I:

http://www.seattlechannel.org/videos/video.asp?ID=4538

Now please define traditionalist.

Thanks,

Dan

Dan Dempsey on the Seattle case

The SPS responded in court that "Discovering" was not an inquiry program but a "Balanced" Program. The Judge noticed that all the texts had "Discovering" in the title and on page four the publisher claimed this was an investigative approach to mathematics. She also noticed that every lesson began with an investigation.

Numbers Wars
by Linda Baker

pop quiz, part 3

from:
A Parent’s Guide to Education Reform (pdf file)
By Dan Lips, Jennifer Marshall, and Lindsey Burke
Heritage Foundation
p. 10

How much do American public schools spend per pupil?
American public schools spent an average of $9,266 per pupil during the 2004–2005 school year.19

How much does the U.S. Spend on K–12 education as a nation?
The United States spent $600 billion on K–12 education in 2006—about 4.5 percent of our gross domestic product.20

How many students are in K–12 public schools?
About 50 million students attend American public schools.21

What is the average public school teacher salary?
In 2004, the average public school teacher’s salary was $44,400.22

Who earns a higher hourly wage—public school teachers or mechanical engineers?
Public school teachers. According to the U.S. Bureau of Labor Statistics, public school teachers earned $34.06 per hour in 2005. BLS estimates that mechanical engineers earn $31.93 per hour.23

What percentage of public education funding is spent on classroom expenditures?
61 cents out of every dollar currently spent in American public schools is for instruction.24

What is the average class size in American public schools?
There are 16 students for each teacher in the average public school.25

What percentage of all public school staff are non-teaching employees or administrators?
Non-teaching employees and administrators account for 49 percent of all public school staff.26

What percentage of government funding for education comes from the state, federal, and local governments?
46.9 percent of public school revenue comes from state government. 44 percent of funding comes from local government. Only 9.2 percent comes from the federal government.27

What percentage of American 8th graders cannot read?
26 percent of 8th grade students scored “below basic” on the National Assessment of Educational Progress (NAEP) reading exam.28

What is the percentage of American adults who are illiterate?
The U.S. Department of Education’s 2003 National Assessment of Adult Literacy found that 14 percent of American adults scored “below basic” in literacy, meaning that they could not perform simple everyday tasks that required reading or writing.29

=================

19 U.S. Department of Education, Digest of Education Statistics: 2007, Table 171, at http://www.nces.ed.gov/programs/digest/d07/tables/dt07_171.asp?referrer=list.
20 Ibid., Table 25, at http://www.nces.ed.gov/programs/digest/d07/tables/dt07_025.asp?referrer=list.
21 Ibid., Table 33, at http://www.nces.ed.gov/programs/digest/d07/tables/dt07_033.asp?referrer=list.
22 Ibid., Table 72, at http://www.nces.ed.gov/programs/digest/d07/tables/dt07_072.asp?referrer=list.
23 Jay P. Greene and Marcus Winters, “How Much Are Public School Teachers Paid?” Manhattan Institute Civic Report No. 50, January 2007, at http://www.manhattan-institute.org/html/cr_50.htm.
24 Author calculations based on average spending on instruction divided by total current expenditures. U.S. Department of Education, Digest of Education Statistics: 2007, Table 172, at http://www.nces.ed.gov/programs/digest/d07/tables/dt07_172.asp?referrer=list.
25 Ibid., Table 60, at http://www.nces.ed.gov/programs/digest/d07/tables/dt07_060.asp?referrer=list.
26 Ibid., Table 80 at http://www.nces.ed.gov/programs/digest/d07/tables/dt07_080.asp?referrer=list.
27 Ibid., Table 162, at http://www.nces.ed.gov/programs/digest/d07/tables/dt07_162.asp?referrer=list.
28 U.S. Department of Education, Reading Report Card, 2005.
29 U.S. Department of Education, NCES, “2003 National Assessment of Adult Literacy,” at http://nces.ed.gov/naal/index.asp.

Multicultural approach to polar coordinates

Real world math at its best.

back to the future

West Ashley High ninth-grader Erika Wesolek works on a grammar lesson Thursday.

A reading program given a trial run last year at West Ashley High School has been so successful that other Charleston County and neighboring Dorchester 2 high schools have taken notice and may begin using it.

In Charleston, the curriculum had been used exclusively with special education students. School Principal Mary Runyon saw those students' reading scores improving and decided to experiment and see whether it also would work for students who didn't have a disability.

The research-based curriculum, Language!, teaches English as if it were a foreign language; it breaks down its rules and explains them to students. The class focuses on the five components of reading -- from identifying sounds in words to developing vocabulary -- and the goal is to give students the foundation they need to become better readers.

[snip]

Dorchester 2 Deputy Superintendent Barbara Stroble took a group of her high school teachers to West Ashley High last week to observe the program and get a better understanding of the way it works. Although Dorchester 2, which includes Summerville area schools, is one of the state's higher-performing districts, nearly 13 percent of its freshmen can't read better than a fourth-grader, according to an analysis requested by The Post and Courier.

[snip]

"It's the old way we used to teach English," Stroble said. "A kid who's having difficulty in reading and he or she doesn't know the rules of the game, they get lost."

Freshman Amber Armstrong is in the West Ashley High program this year. She always thought her reading was fine, but after being in this class, she said she feels more confident because she's learning skills that none of her previous schools taught her.

She used to skip words she didn't know, but now she tries to figure out what they mean. It's easier for her to skim through notes and pick out important points, and vocabulary isn't as much of a challenge, she said. She doesn't use slang and she uses correct verbs when speaking. She said she'd like to take the course again next year.

Giant strides
by Diette Courrege
The Post and Courier
Monday, February 22, 2010

Here in my town, it's common knowledge that the kids are gaining all their knowledge of grammar from foreign language classes.

Not from "ELA."

Australian school answering machine

Making the email circuit ----- no idea whether this is real. As much as I should disapprove of this message, I have to say: it's pretty funny.

I would be the person pressing '5.'

snow day

No math on the picnic table today. But soon.

thinner

Speaking of Randi Weingarten and the Campaign to Combat Childhood Obesity, I weighed myself the other morning and the scale said 125.5. Since September 25, I have lost 11 pounds.

11

That's a lot.

That's more than I've lost on any diet, ever, and I lost it during the fall & winter, which is to say I lost 11 pounds at the same time of year (the Halloween-Thanksgiving-Christmas-New Year's-Valentine's Day time of year) when normally I'm regaining the 5 or 6 pounds I managed to lose by dint of determined calorie counting & food logging in the spring and summer.

So, doing my bit for the Campaign, here's my story:

• the diet: plant-based, whole-food, no added fat, sugar, or salt
  
• and: calorie counting via LoseIt (see: "Dose This Pencil Skirt Have an App?")
• not essential but terrifically helpful: Get Running - I have kept up a running program through the depths of winter, thanks entirely to this app along with iAchieve
• still working on incorporating the glycemic index
  
  

The diet is almost bizarrely easy. Most of what people say about it was true for me, e.g.:

• you lose your taste for meat &, to a much lesser degree, fat, over time (but see below)
• minimal hunger
  
• more energy
• so far, going back on the wagon has been as easy as going off the wagon, knock on wood
• sounds dreadful going in but your tastes change
  

I deviated from the true path in two respects: I eased into the diet instead of going cold turkey, and I calorie-counted. Thanks to Magic iTouch, I plan to carry on calorie counting. Fuhrman, Barnard, and Esselstyn all say there's no need to count - or restrict - calories if you're following the diet closely, but given that I'm not following it as closely as I ought, I count calories. Also, I'm guessing that calorie restriction in and of itself is probably going to be as good for me as it is for yeast cells and mice (haven't read that article, fyi).

The hitch: I ended up having problems with the no-added-fat part. First I got cranky, then I started waking up in the middle of the night feeling despairing and grim. So now. . . now, I'm not sure. My plan at the moment is to a) add some walnuts & avocados to my salads and b) cheat more.

We'll see how that goes. Maybe Gerald Reavan is right that what some of us need is a relatively high-fat diet? Dunno.


other:

• apples & soup
• apparently, vegetables actually do consume more calories than they contain
  
• plant foods plants seem to increase metabolism (that may not be the right way to put it: Campbell found that rural Chinese peasants, who are essentially vegetarian, consume more calories than we do but weigh less - see here)
• Campbell also found that animal protein promotes cancer growth (terrific summary)
  

I came across my cholesterol reading from 2006: 190.

Last month I had total cholesterol of 131, LDL (bad cholesterol) 62, HDL (good cholesterol) 60. (I know those figures don't add up.) Triglycerides: 43 (normal is below 150).

So that's it.

For me, adopting a don't-get-diabetes diet means placing a bet -- or, at this point, placing a bet on plant-based/whole foods/no added fat, sugar, or salt and hedging it with plant-based/whole foods/somewhat more fat & somewhat less carb. I don't know and can't guess which expert is right.

But there's no question this works brilliantly for weight loss.


books & blogs

blog: Happy Healthy Long Life

Eat to Live by Joel Fuhrman (for diabetes: "beans and greens")
blog: diseaseproof
Emily's Postmodern Transformation

The China Study by Thomas M. Campbell
20-year study of Chinese diet & health – “this project eventually produced more than 8000 statistically significant associations between various dietary factors and disease...”
Introduction (pdf file)

Prevent and Reverse Heart Disease by Caldwell B. Esselsstyn - all plant food all the time, "not one drop of added fat"
Chapter One

The Engine 2 Diet: The Texas Firefighter's 28-Day Save-Your-Life Plan that Lowers Cholesterol and Burns Away the Pounds by Rip Esselsstyn (haven't read - Rip Esselstyn is Caldwell Esselstyn's son - 28-day before & after photos!)

Dr. Neal Barnard’s Program for Reversing Diabetes by Neal D. Barnard
Neal D. Barnard

The Calorie Restriction Experiment by Jon Gertner New York Times October 7, 2009 - people undereating for two years straight
Calerie study: Comprehensive Assessment of Long-Term Effects of Reducing Energy Intake
The "i" Diet by Susan Roberts (haven't read but it sounds great - Roberts is part of the Calerie study)

Just to confuse everyone: Syndrome X: The Silent Killer by Gerald Reaven, Terry Kirsten Strom, and Barry Fox

Anticancer: A New Way of Life by David Servan-Schreiber "All of us have cancer cells in our body. But not all of us will develop cancer."
David Servan-Schreiber

Volumetrics Eating Plan by Barbara Rolls - "Eat big food."
Barbara Rolls

And: Younger Next Year

scared straight
the Ed diet
Barney adopts a healthy new eating style

the decision - full text

The Honorable Julie Spector

IN THE SUPERIOR COURT OF THE STATE OF WASHINGTON IN AND FOR KING COUNTRY

DA-ZANNE PORTER, MARTHA MCLAREN, and CLIFFORD MASS,

Plaintiffs,

v.

SEATTLE SCHOOL DISTRICT NO. 1, IN KING COUNTRY, STATE OF WASHINGTON, BOARD OF DIRECTORS OF SEATTLE SCHOOL DISTRICT NO. 1, and MARIA GOODLOE-JOHNSON, Superintendent and Secretary of the Board,

Defendants.


NO. 09-2-21771-8 SEA



FINDINGS OF FACT, CONCLUSIONS OF LAW, AND ORDER


THIS MATTER having come on for hearing, and the Court having considered the pleadings, administrative record, and argument in this matter, the Court hereby enters the following Findings of Fact, Conclusions of Law, and Order:


FINDINGS OF FACT

1. On May 6, 2009, in a 4-3 vote, the Seattle School District Board of Directors chose the Discovering Series as the District’s high school basic math materials.

2. In making its decision, the Board considered:

a. A recommendation from the District’s Selection Committee;

b. A January, 2009 report from the Washington State Office of Public Instruction ranking High School math textbooks, listing a series by the Holt Company as number one, and the Discovering Series as number two;

c. A March 11, 2009, report from the Washington State Board of Education finding that the Discovering Series was “mathematically unsound”;

d. An April 8, 2009 School Board Action Report authored by the Superintendent;

e. The May 6, 2009 recommendation of the OSPI recommending only the Holt Series, and not recommending the Discovering Series;

f. WASL scores showing an achievement gap between racial groups;

g. WASL scores from an experiment with a different inquiry-based math text at Cleveland and Garfield High Schools, showing that WASL scores overall declined using the inquiry-based math texts, and dropped significantly for English Language Learners, including a 0% pass rate at one high school;

h. The National Math Achievement Panel (NMAP) Report;

i. Citizen comments and expert reports criticizing the effectiveness of inquiry-based math and the Discovering Series;

j. Parent reports of difficulty teaching their children using the Discovering Series and inquiry-based math;

k. Other evidence in the Administrative Record;

l. One Board member also considered the ability of her own child to learn math using the Discovering Series.


FINDINGS OF FACT, CONCLUSIONS OF LAW, AND ORDER - 2

3. The court finds that the Discovering Series is an inquiry-based math program.

4. The court finds, based upon a review of the entire administrative record that there is insufficient evidence for any reasonable Board member to approve the selection of the Discovering Series.

CONCLUSIONS OF LAW

1. The court has jurisdiction under RCW 28A.645.010 to evaluate the Board’s decision for whether it is arbitrary, capricious, or contrary to law;

2. The Board’s selection of the Discovering Series was arbitrary;

3. The Board’s selection of the Discovering Series was capricious;

4. This court has the authority to remand the Board’s decision for further review;

5. Any Conclusion of Law which is more appropriately characterized as a Finding of Fact is adopted as such, and any Finding of Fact more appropriately characterized as a Conclusion of Law is adopted as such.


ORDER

IT IS HEREBY ORDERED:
The decision of the Board to adopt the Discovering Series is remanded for further proceedings consistent with this opinion.

Dated this 4th day of February, 2010

THE HONORABLE JULIE SPECTOR
KING COUNTY SUPERIOR COURT JUDGE

full text of ruling (pdf file)
support the cause: donate here

math wars

comment left on Numbers Wars: School Battles Heat Up Again in the Traditional versus Reform-Math Debate in the March issue of Scientific American:

Sad but true. I was at a fast food drive thru when the computers were down. They had to make change the old fashioned way. But the girl could not figure out how much change to give me. She seemed lost as she tried to calculate the difference between what I gave her and what the food cost. She had to call in the manger, who took way to long to compute the change (eventually she found a hand-held calculator).

Apparently even simple arithmetic is no longer well taught, learned and/or retained. Reliance on machines to "teach math" is only good if one has a machine when it is needed. My daughter had these classes where the calculator was required. The problem was that after smacking the keyboard a few times, she could come up with an obviously nonsensical answer. She would just write it down and move on. I asked her one time how she could multiple two numbers that each were less than one and come up with an answer that was greater than ten. The blank stare said it all (fyi - she failed to enter the decimal points correctly).

Want to terrify a teen-ager? Ask them to multiply 12 times 12. Is the answer immediate or not? Forget adding simple fractions. And we expect these kids to learn algebra and higher mathematics?

Are kids today less proficient even in arithmetic than in the past? Surely we can tell if these newer teaching methods are getting better results or not. As for me, I think my daughter did better in arithmetic in elementary school. After middle and high school, she seems to have "lost" the ability to easily do the arithmetic she learned earlier in life. I blame the calculator.

Twenty years of reform math.

That's a long time.

for immediate release

Statement by Randi Weingarten, President, American Federation of Teachers, In Support of Campaign to Combat Childhood Obesity

I feel much better about childhood obesity now that we've got Randi Weingarten on the case.

I'm sorry.

I had to say it.

rightwingprof: "I Would Like an Answer Now"

Clay Bond posted this to rightwingprof on March 29, 2006. It's a keeper.

'Yes, I posted this some time ago. However, the questions are not rhetorical. I really would like an answer from my colleagues in the primary and secondary school system — particularly those in the education union establishment. And I’d like an answer because I really do want to know why I have to do your job as well as mine.

Thanks ahead of time for your response. Here it is:

I don’t want anyone to get the wrong idea. I’ve had many extremely bright students. Many. Some had the necessary knowledge for the class, and some did not; of those who did not, most worked their butts off and did well. I also don’t want you to think smarts are what I care most about.

My favorite students are the ones who aren’t that bright, but work their tails off to do as well as they can. My least favorite students are the ones who are extremely sharp, but don’t work.

Sometimes, however, there’s too much missing knowledge, so much that the best thing the student can do is drop the class. It breaks my heart when I get a student like this.

I had a student some time back I’ll call Mark. Mark was bright, though his high school had cheated him, and he was lost almost from the first day. He worked hard, and came to my office hours. But … well, there was too much missing, as I discovered early in the semester when he was in my office.

I asked him what he wanted me to clarify, and he said he didn’t understand the 68-95-99 Rule. The conversation went something like this:

Me: “In a normal distribution, 68% of the data fall within one standard deviation in either direction of the mean. So here’s our distribution,” I drew a bell curve on the whiteboard, “And here’s our mean,” I drew a dashed line bisecting the curve. “Our mean is 50, and our standard deviation is 2, so 68% of the data fall between 50-2 and 50+2, 48 and 52.” I drew lines and arrows, and a 68% beneath.

Mark: “I don’t understand. Wouldn’t it be 75?”

Me: “Wouldn’t what be 75?”

Mark: “The mean.”

Me: “Why would it be 75?”

Mark: “That’s what you said in class.”

Ah. He was stuck on the example — and being a firm believer in introducing concepts in contexts familiar to students, I introduce basic descriptive stats in terms of grades, since what else are students more familiar with?

Me: “The mean could be 75, sure. In this particular distribution,” I pointed to the curve on the whiteboard, “the mean is 50.” I then erased the 50. “But let’s say the mean is 75,” and I wrote 75 after the x-bar, “then 68% of the data falls between 75-2 and 75+2, 73 and 77.”

Mark: “How do you know if the mean is 50 or 75?”

One of the difficult parts of teaching is diagnosing the problem. Students have questions, but the problem may actually be more fundamental than what they are asking about, as I was beginning to understand here.

Mark was having two basic problems: He didn’t understand what a mean was, and he was having trouble abstracting the idea out of the example. The former is easy to fix; the latter is not.

Me: “Can I erase this?” I pointed to the whiteboard, and he nodded. I erased the curve, and wrote a series of numbers on the board in a vertical column: 90, 85, 70, 65, and 50. “These are test scores,” I said, “How do you calcualate the mean, or average?”

Mark didn’t volunteer an answer.

Me: “Okay, let’s say the whole class takes an exam, and these are the scores. An average, or mean, tells me how well the class did overall. To calculate the average, I add all the scores, then divide by the number of scores. Here, you do it.” I have him the marker.

Mark added the numbers, then stopped.

Me: “How many scores are there?”

Mark: “Five.”

Me: “Okay, divide the total by five.”

Mark complied.

Me: “What’s the mean?”

Mark: “Seventy-two.” He looked at the numbers for a minute, then smiled. “I get it!” he said.

That’s when I realized what I’d suspected: Mark was a university freshman who had not, until just now, understood the concept of an average. I found that disturbing, but Mark was on a roll.

Mark: “So what’s a median?”

Me: “The middle score.” I pointed to the five numbers. “Half of the scores will fall above the median, and half will fall below the median. What’s the median of these scores?”

Mark: “Seventy.”

Mark was in my office three hours. No wonder he’d been lost. He didn’t understand an average. He didn’t understand sampling or distributions. We didn’t get to the 68-95-99 rule that day, because there was too much he didn’t understand.

I worked with him twice every week, and he got a B in the class. He worked harder than nearly any other student I’ve had. But if he had not come to my office every chance he got, he would never have passed.

Mark had no sense of entitlement. He wanted to understand, and he wanted a good grade, and he worked for both. He was bright. The thing is, I pretty much ran him through a high school math program in the office during the course of the semester.

I’m a teacher, so I can ask the obvious question, and some other teacher can’t come back with any of the usual non-answers.

I did it. Why couldn’t you, when Mark was in high school? It’s not money. I got no extra pay for helping Mark. It’s not time. I spent many hours in the office working with him. It’s not his intelligence or ability to learn. He’s smart, and he learned quickly, once we got started.

So I’ll ask again: Why couldn’t you do your job? It wasn’t my job to teach Mark high school math, but I did. Why did I have to? How did Mark get through all the required high school math courses without understanding what an average is? How did Mark get through all the required math courses without ever having seen y=mx+b? How did Mark get through all the required math courses and not understand that each flip of the coin is independent of all others? Most of all, how did you, his teachers, let such a bright, hard-working, motivated student slip through the cracks?

What’s going on there?

rightwingprof at ktm

here

speaking of rightwingprof

I've just seen this posted on the Clay Bond Memorial Facebook Page:

warning to Clay's Internet friends: Central Pennsylvania Orthodox will probably stay up for awhile because it runs on freeware. Right Wing Nation will vaporize at some point because there is a monthly charge for the blogspace. Cut and scrape things you want to keep, ok?

I'm going to save I Want an Answer now, but there must be a zillion other keepers on his site--does anyone have any ideas?

why can't U teach me to read?

Years ago, I asked a special needs attorney when it would be possible for parents of general education students to sue schools. He wasn't encouraging. (scroll down) In fact, he wasn't even interested.

I had thought such a case finally existed, but now that I've looked at Jennie's links (thank you, Jennie!) I see we're not there yet.

That's fine. I'm patient.





I miss rightwingprof.


Why can't U teach me 2 read?: Three Students and a Mayor Put Our Schools to the Test by Beth Fertig
due process for parents of general education students
diagnosis diagnosed
crack in the wall (educational malpractice)
status quo la-la-la

Laurie Rogers on the Delphi Technique

I remember, back when I started writing ktm-1, somebody mentioning the Delphi technique. At the time, I thought: that's a little far-out.

Now I think: what a helpful explanation!

My own district has been using a variant of the Delphi technique in its Budget Forums, but we seem to be past that now. I'm told that, at the last forum, someone stood up and suggested that employees take a pay cut in order to prevent further tax increases and the room burst into applause.

Laurie Rogers on the decision

I would like to think if we stuck central office administrators in a reform math classroom and forced them to endure the torture they call K-12 math instruction, they would come to see the light, but I fear they would just get out their color-coded sticky notes, their pens and highlighters and happily spend the rest of the day muddling in herds, getting nowhere, certain that their talking, scribbling and checking for group consensus means "real learning" is going on.

Very droll.

I like droll.


Betrayed

Barry on the Seattle decision

Barry clarifies the question of whether the court ordered the Seattle school district to adopt a particular curriculum (which is what I assumed when I read the news):

....the court did not rule on the textbook or curriculum. Rather, it ruled on the school board’s process of decision making—more accurately, the lack thereof. The court ordered the school board to revisit the decision. Judge Julie Spector found that the school board ignored key evidence—like the declaration from the state’s Board of Education that the discovery math series under consideration was “mathematically unsound”, the state Office of the Superintendent of Public Instruction not recommending the curriculum and last but not least, information given to the board by citizens in public testimony.

The decision is an important one because it highlights what parents have known for a long time: School boards generally do what they want to do, evidence be damned. Discovery-type math programs are adopted despite parent protests, despite evidence of experts and—-judging by the case in Seattle—-despite findings from the State Board of Education and the Superintendent of Public Instruction.
Skydiving without Parachutes

Ed says he heard on NPR of a successful court case in which a parent successfully sued a district for failing to teach her child to read -- apparently someone has written a book about the story.

Has anyone heard anything about this?

Singapore Math at Hackley

here

One question: I don't remember a lot of focus on manipulatives in Singapore Math -- ?

How do Singapore schools handle struggling students?

Hackley School

momof4 on college planning

momof4 says...

I have always felt that the preparation for high school is too little and too late, both in terms of academics and of advance planning. Especially in a system where APs have prerequisites, kids and parents need to know that so they can plan coursework accordingly.

All of the schools my kids attended waited until 8th grade - usually spring -to address the HS plan. Parents need to know the critical nature of the usual sixth grade test, which determines who gets on the top math path, which will also determine eligibility for AP Physics BC (calculus is a co-requisite). There is just far too much mush and wasted time; kids without aware parents who are able to supplement are hosed before they hit 7th grade.

BTW, I've found it fairly common for a shared MS-HS campus, so taking some classes at the HS may be possible. Also community colleges, universitites etc - whatever is available.

SAT scores predict grades in individual courses

contra FairTest....

Individual Differences in Course Choice Result in Underestimation of the Validity of College Admissions Systems
by Christopher M. Berry1 and Paul R. Sackett2

ABSTRACT—We demonstrate that the validity of SAT scores and high school grade point averages (GPAs) as predictors of academic performance has been underestimated because of previous studies’ reliance on flawed performance indicators (i.e., college GPA) that are contaminated by the effects of individual differences in course choice. We controlled for this contamination by predicting individual course grades, instead of GPAs, in a data set containing more than 5 million college grades for 167,816 students. Percentage of variance accounted for by SAT scores and high school GPAs was 30 to 40% lower when the criteria were freshman and cumulative GPAs than when the criteria were individual course grades. SAT scores and high school GPAs together accounted for between 44 and 62% of the variance in college grades. This study provides new estimates of the criterion-related validity of SAT scores and high school GPAs, and highlights the care that must be taken in choosing appropriate criteria in validity studies.
Psychological Science
Volume 20—Number 7

pull:
Thus, to the degree that prediction of grades is a goal of college admissions systems, SAT scores and high school GPA are clearly useful tools for deciding which college applicants will achieve the greatest levels of academic performance.

Inside the same class, the student with higher SAT scores/h.s. grades does better than the student with lower SAT scores/h.s. grades. High school grades were a slightly stronger predictor than SATs.

palisadesk on Direct Instruction and Whole Brain Teaching

(Part 1) Coming back to Liz's question at the end of her post, How congruent is [Whole Brain Teaching] with Direct Instruction, I would have to answer: Not.

The WBT people have adapted some ideas from DI and other sources (Peer-Assisted Learning, Kagan's Cooperative Learning, Fred Jones' Positive Classroom Instruction, Precision Teaching and still more). However, they have put their own spin on all of these so their variants differ in essence as well as in details from the originals.

Take unison responding -- something that is a prominent feature of DI programs at all levels. It is never used in DI as a "management" tool, nor as a rah-rah way to "pump up" the kids or manipulate them. The script, with its unison responses, is carefully researched to ensure clear presentation -- the exact wording, examples and non-examples to ensure than 95% of students will grasp the concept or skill being taught the first time, with practice to mastery built in over a spaced continuum of lessons. Unison responses are an empirically validated way of ensuring participation of all students, instant feedback to the teacher as to hope well the students understand or remember the presentation (if there are errors it is the teacher's responsibility to loop back and re-teach an item until all students can respond correctly. Individuals who make an error are not singled out, but are monitored closely and if additional practice is required for one or two, that is arranged separately so that the dignity of the student is always preserved.)

This I found an important distinction between true DI and WBT -- Engelmann (in his writings, his presentations, and his videoed interactions with children in all settings) is extremely respectful of the dignity of the learner. While he can be funny and show a humorous side (mostly at his own expense), I cannot imagine him ever presenting a task to students and then (as in the 4th grade critical thinking video) asking them to "beg me to let you do it." Even if in jest or in a good-hearted spirit, I found asking students to plead and beg en masse to be disturbing and degrading, however well-intentioned. The kids seemed to go along with it, which is even more disturbing. Why should children have to beg their teacher to engage in a valuable learning activity?

Another fundamental difference between DI and WBT is the principle of parsimony. Engelmann is very explicit in emphasizing the need for instruction to be parsimonious--- to contain nothing extraneous, to include the minimum verbiage needed for clear communication, to require only the amount of practice needed to mastery -- no more and no less. Extraneous yakkety-yak, whether by teacher or students, is a no-go.

It would be completely alien to DI to have the teacher explain a new concept to the class, then ask the STUDENTS to explain it to each other. It's the teacher's responsibility to ensure the students grasp it, not the responsibility of the student's partner. All the scripted cheers and call-and-response stuff in WBT is totally foreign to the DI principle of parsimony, and to the concept of respect for the learner as well.

Only the instructional language in DI is scripted; the teacher is trained to give lots of positive feedback (at a ratio of 5:1 or better), and to teach in an animated and engaging manner, but how he or she does so is an individual matter. This means the teacher can adapt praise and encouragement to his/her own style and the culture of the community or classroom.

Also, DI has the scripted unison-response component to every lessons, but that is only a part of the lesson. All lessons also include individual work, sometimes partner work, sometimes small-group work, so children are not being overwhelmed by all the noise and demands to produce a response. DI makes tracking points an optional feature, but does not suggest extrinsic rewards for these (it suggests they could be tied into normal student evaluation), although teachers may use them in this way if they feel it is necessary, as is sometimes the case.

Finally, DI fundamentally differs from the example of WBT that I saw in several videos, in that it regularly monitors progress in an empirical manner so that the teacher knows what every child is learning, and ensures mastery through a research-based set of criteria at multiple points.

Although the program itself is very tightly crafted and leaves no room for "creativity," the teacher's creativity can blossom in its application and in response to the needs of the individual learners as the program moves along. In fact, it frees the teacher to be more attentive to kids' responses and to devise ways to help them overcome whatever hurdles present in their path. Not needing to re-invent the wheel in every lesson, the teacher can truly engage with and pay attention to each individual student s/he teaches.

(part 3) To be fair to WBT, some of the videoed activities I saw were pretty well done and are based on sound precedents. The one on the Speed Read 100 or something was a good example of peer-assisted learning under a teacher's direction, with children encouraged to help each other (within a pre-trained format), to aspire to beating their own record and to celebrate small steps forward.

If it weren't for the other accoutrements, I would have given this activity two thumbs up, but it was pretty good. I would recommend Peer-Assisted Learning Strategies (see Sopris West for some examples for the primary classroom) as it has a positive effect in several areas, including achievement, student motivation, building classroom community, student self-confidence, and so forth. Similarly, some of the Kagan strategies, such as Think-Pair-Share and Turn and Talk are also well-validated empirically but do not need to be carried out in the chaotic manner we saw in the videos.

Another point: attention signals, such as Class-Yes! are a valuable tool in any classroom. What bothered me was not that they used it, but how it was used -- in a theatrical, almost buffoonish, hyperdramatic way. Learning can be fun and engaging, but it shouldn't be a joke, a circus or a day at the football stadium.

For primary kids, a good attention signal is (teacher says, in calm rhythmic voice) "1,2,3, eyes on me!" Children stop where they are, turn and face the teacher and clap. "1,2, eyes on you!" This is used in a purposeful manner, when something needs to be said to the whole group but it is not necessary for everyone to go back to their seat as if for a lesson. There's nothing manipulative about it, either. Class-Yes! in a straightforward way would be fine for older students, I think. I myself would not allow yelling and silliness to accompany it. We want to keep the focus on learning.

To that end, gestures can be very useful. A popular and effective program for K in the UK, Jolly Phonics, uses hand signals (called "actions") to teach the letter-sound correspondences. I can imagine similar applications at other levels. These have at least two positive benefits: they give the wiggly, energetic student an opportunity to engage in a physically active way, and they provide the teacher with instant formative assessment data on how well the lesson is progressing.

.....I doubt there are any videos out there that show DI and WBT and contrast the differences. WBT is a recent development and that explains why ... there isn't any longitudinal data on how effective it is in ensuring student learning. As for videos exhibiting DI, most that I have seen consist exclusively of video of the teacher presentation (the scripted part) since that is the most difficult to learn to do well. Signaling, pacing and knowing when to loop back and review are the hardest elements to master....

Since basic differences between the two lie in underlying philosophy and curriculum design, those wouldn't be apparent anyway. However, I did note that none of the WBT videos I saw consisted of a teacher presentation that appeared "scripted," i.e. specific language from the teacher, requiring a specific instruction-related response from students, over a period of several minutes. The "scripting" in the WBT videos consisted of management call-and-response practices, not scripted presentation of concepts and content.

Also, I don't know of any DI videos that include the whole lesson -- the non-teacher-directed parts. They don't depict the independent work period, student partner work, or small group/team work. These are an essential element of every lesson, as is the "work check:" students and teacher review and correct the independent work at the end of the lesson, to ensure students can clarify any misunderstanding before going on to the next step.

As for preschool, DI does offer specific programs for that level, most notably in language skills and verbal reasoning. They don't recommend moving on to reading instruction until children are proficient in the language skills, which include making comparisons, understanding and using if/then statements, applying a rule (if all birds have feathers, and Paco is a bird, what else do we know about Paco?).

(2 of 2) The early phases of the reading program for this level teach a lot of the phonological processing skills (blending and segmenting sounds, sequencing,left-right progression) needed for successful reading later on, and introduce only very regular grapheme/phoneme correspondences, in a special orthography modified to be less confusing to very young children whose visual perception and visual efficiency skills are less well-developed.

The letters are darker, bigger and "fatter," with distinct differences between the u and n, the p and q, the b and d, so as to prevent children's confusing them. Visually similar letters are not taught together, but presented one at a time, and when one of the pair is introduced, it is taught to mastery before the other is introduced. The program for 4-year-olds moves quite slowly, and many elements are taught in a playful or gamelike way, with lessons expected to take only about 15 minutes. So it is unlikely a child would be "unready" (after completing the language sequence), and s/he would not be pressured to move too fast.

There is very little written component at this stage; the seatwork consists often of coloring, tracing or making discriminations, such as crossing out an item that doesn't belong. These provide short, frequent opportunities to develop graphomotor skills, but not to the point of frustration.

DI is most valuable at the preschool level for children with a less-advantaged language background, though in Engelmann's early work his comparison group of "middle class" kids took off like a rocket with DI and were able to do very advanced work in reading and math by age 6, as well as verbal reasoning skills that Piaget thought impossible before age 11 or 12. He talks about that in one of his books; I'll see about finding an appropriate link....

remembering what you understand

Reading through the whole-brain thread I've just come across this observation by Tracy W:

Understanding is good, but it's only momentary. In my work I often spend hours trying to understand a problem, and then finally getting the flash of insight. And I've learnt that when the flash of insight comes I need to write it down and store it somewhere I can find it again, because otherwise I forget.

There's a terrific scene in Mad Men built on this premise. One of the copy writers stays up all night working on a brilliant idea for an ad campaign, and then, the next morning, he can't remember what his brilliant idea was.

The punchline: with Don Draper glowering and Peggy Olsen nervously trying to cover for her colleague, the guy finally cracks and says, "I had a brilliant idea, but I don't remember it."

There's a beat while the audience waits for Don to blow up.

Then Don says, "I hate when that happens."

College Application & Class Rank

I know that GPA (class rank) is one of the key factors in college applications, but applications have to be sent in before much of anything is known about the senior year. Does this mean that the courses you take in the senior year and grades you get don't matter so much? I know that colleges check to see if you crash in the senior year, but exactly what do they know about the senior year? Does this mean that the class ranking at the end of the junior year is all that the college knows? If so, does this mean that students should try to get more AP classes in before the senior year?

I was also looking at the course catalog for the high school my son will enter next year. It finally (!) struck me that if he wanted to take an AP science course, it has to come after taking the regular honors version. Is this typical? Do some kids get authorization to go directly to the AP version? This relates to the senior year issue. If colleges can't base their decisions on the results of the senior year, then do some kids relax their schedules a little in the senior year - perhaps not cram in every last AP class they can?

Register for 5OSME PLUS! and school visits....

Hello,

Early bird registration for 5OSME PLUS! is open through 1 March 2010: www.origami-usa.org/5osme_registration

Registration price increases on 2 March 2010.

Why are we calling it 5OSME PLUS!?

In addition to the 5th international conference on origami in science, mathematics and education (5OSME; 13-15 July 2010), there will be

• a folding convention (PLUS!: 15-17 July 2010),
  
• an origami exhibition (14-17 July 2010),
  
• a cross-country collaborative student origami building project,
  
• two viewings of Between the Folds,
  
• opportunities to visit many sights in Singapore as well as in neighboring Malaysia and Thailand,
  
• an eclectic and infinite array of delicious foods that are very reasonably priced!, and
• more shopping malls than you can count!
  

We have an exciting lineup of presentations from many countries for 5OSME (list of accepted abstract titles will be uploaded to the 5OSME website soon), ranging from the frontiers of research to creative fields in design!

The 5OSME website (www.origami-usa.org/5osme) contains lodging information and forms for teaching and volunteering.

We recently learned that 5OSME PLUS! has been selected by the International Conference Support Program to receive 10% discount for conference participants who make hotel reservations through http://www.hotelscombined.com/Conference_Support

Please read the information at the above link carefully. To receive your 10% rebate, the name on your reservation receipt must match the name registered at the conference.

Should you have any questions/comments/suggestons, please feel free to contact 5osme.queries@gmail.com

I will be leading a small group of individuals (maximum number of 20) to visit schools the week of 19 July 2010. Please contact me if you are interested: pwangiverson@gmail.com

We look forward to seeing you in Singapore in July!

Best regards,

The 5OSME Organizing Committee

Student Names and Addresses

Yesterday, my son had to fill out some sort of science survey that was supposed to collect data to find out how to get more kids to look towards careers in science. He is in 8th grade. It asked about what he wanted to do when he got out of school and even what colleges he was interested in. (What!?) I asked him a lot of questions, but that's the best understanding of the survey I could figure out. However, he had to include his name, address, telephone number, and email. He also said something about perhaps being sent some information. !!?? Is this normal; collecting personal information and sending it off to a third party without parental consent?

onward & upward

more is more

Surprise! Lack of Mastery of Earlier Math Makes Mastering Algebra Difficult

From Today's EdWeek

'Algebra-for-All' Push Found to Yield Poor Results

Spurred by a succession of reports pointing to the importance of algebra as a gateway to college, educators and policymakers embraced “algebra for all” policies in the 1990s and began working to ensure that students take the subject by 9th grade or earlier.

A trickle of studies suggests that in practice, though, getting all students past the algebra hump has proved difficult and has failed, some of the time, to yield the kinds of payoffs educators seek.

[snip]

“There’s no question that taking advanced courses boosts student achievement,” said Adam Gamoran, a professor of education policy studies and sociology at the University of Wisconsin-Madison. His 2000 study on algebra and tracking helped catalyze the interest in expanding access for all students to algebra courses.

“Where the area of disagreement comes,” Mr. Gamoran added, “is what should we do with students who performed poorly previously. In my judgment, the reason studies like mine show that students even with low levels of achievement do better in advanced classes is because the low-level classes are practically worthless.”

“And there’s no simple solution to this problem,” he added, “because we also know that when tracking is eliminated, students at high levels don’t gain as much as they do in high-level or [Advanced Placement] classes.”

[snip]

Tom Loveless, the author of the report from the Washington-based Brookings Institution on “misplaced” math students in algebra, said the issue is even more complex.

“No one has figured out how to teach algebra to kids who are seven or eight years behind before they get to algebra, and teach it all in one year,” said Mr. Loveless, who favors interventions for struggling students at even earlier ages.

Nationwide, research findings may diverge because testing content varies—the TIMSS test has more algebra content than many state exams taken by 8th graders—and because course content varies from classroom to classroom.

“If you take what’s called algebra class, and you look at the actual distribution of allocated time, you find that many of those teachers spend a very large portion of that year on basic arithmetic,” said Mr. Schmidt, who is a distinguished university professor of education at Michigan State’s East Lansing campus. His research on U.S. classrooms has found, in fact, that nearly a third of students studying algebra are using arithmetic books in their classes.

Yet another thing our education experts may have backwards

Besides their confusion of that which is largely development and shouldn't factor into grades (e.g., organization skills) with that which isn't (e.g., math skills), and their confusion of that which most children learn implicitly without deliberate classroom interventions (e.g., social skills) with that which most children do not learn implicitly (e.g., reading, foreign language) and their confusion of that which is best done outside of school (e.g., board games and movies) with that which is best done at school (e.g., the multiplication tables), there's the issue of text-to-self connections in reading.

Text-to-self connections are highly personal connections that a reader makes between a piece of reading material and the reader’s own experiences or life. An example of a text-to-self connection might be, "This story reminds me of a vacation we took to my grandfather’s farm."

So explains the Florida Online Reading Professional Development site, a site dedicated "to providing quality professional development services and support to Florida educators in effective reading instruction through its online course, expert staff, quality resources, and other professional development services."

The ability to make text-to-self connections, FORPD states, is part of what distinguishes good readers from poor ones (emphasis mine):

Good readers draw on prior knowledge and experience to help them understand what they are reading and are thus able to use that knowledge to make connections. Struggling readers often move directly through a text without stopping to consider whether the text makes sense based on their own background knowledge, or whether their knowledge can be used to help them understand confusing or challenging materials. By teaching students how to connect to text they are able to better understand what they are reading (Harvey & Goudvis, 2000). Accessing prior knowledge and experiences is a good starting place when teaching strategies because every student has experiences, knowledge, opinions, and emotions that they can draw upon.

The cognitive science literature, however, suggests that text-to-self advocates may have it exactly backwards.

Consider, for example, a paper by Courtnay Norbury and Dorothy Bishop entitled "Inferential processing and story recall in children with communication problems: a comparison of specific language impairment, pragmatic language impairment, and high functioning autism." This paper finds inferencing difficulties characterizing all poor readers with the above conditions. What Norbury and Bishop find, however, isn't that these readers weren't able to make inferences, but that they made the wrong ones. For example, when asked, in reference to a scene at the seashore with a clock on a pier, "Where is the clock?", many children replied "In her bedroom."

Norbury and Bishop propose that these errors may arise when the child fails to suppress stereotypical information about clock locations based on his/her own experience. In support of this hypothesis, they cite Morton Gernsbacher's book Language Comprehension in Sentence Building, which provides evidence that adults with poor reading difficulties are less able to suppress irrelevant information. As Norbury and Bishop explain it (emphasis mine):

As we listen to a story, we are constantly making associations beween what we hear and our experiences in the world. When we hear "clock," representations of different clocks may be activated, including alarm clocks. If the irrelevant representation is not quickly suppressed, individuals may not take in the information presented in the story about the clock being on the pier. They would therefore not update the mental representation of the story to include references to the seaside which would in turn lead to further comprehension errors.

Text-to-self connections, in other words, may be the default reading mode, and not something that needs to be taught. What needs to be taught instead, at least where poor readers are concerned, is how not to make text-to-self connections.

I'm neither a reading specialist nor a cognitive scientist, but my gut feeling is that, while accessing general background knowledge helps with reading comprehension, accessing personal background knowledge does indeed lead you astray. Text-to-world, OK, fine; but not text-to-self.

Especially, I imagine, for those most entrenched in the self, for example, children on the autistic spectrum.

Seattle School District Loses Lawsuit over Discovery Math Program

News report from Seattle Post Intelligencer is here.

From the article:

Those suing to stop Discovering Math in court were Martha McLaren, a retired Seattle high-school math teacher; Cliff Mass, a professor of atmospheric science at the University of Washington; and Da-Zanne Porter, mother of a Cleveland High School student.

Mass, a well-known local meteorologist, has said college students' math abilities have been decreasing over the past 10 years.

"I've been giving a math diagnostic exam in my 101 class, and the results are stunning; stunningly bad," Mass said in a story that appeared last month before the lawsuit was argued.

This is stunning news. Every school board should be made aware of this decision. That the ruling was based--in part--on the widening achievement gap attributable to the "discovery" series, raises the spectre of civil rights.

Congratulations to Cliff Mass, Martha McLaren, and Da-Zanne Porter.

The court decision goes a long way in giving parents the credibility they need to stand up to school boards across the country.

Special Education Thoughts and Budgets

Here a few recent comments here at KTM, in which the commenters say things such as:

It doesn't cost much to educate my children. It costs a great deal to educate a few children. Our district is reputed to be good with special needs students, thus it draws more sped kids to us. The "cost per student" reflects overall spending, and no longer breaks out sped costs.

So, it's possible to educate students privately for much less than the public cost, because the school has the freedom to avoid heavy sped costs.....

I'm not advocating that sped kids not receive an education. I think that requiring each school district to pony up for unlimited sped burdens in isolation is bad policy. It leads to a poisonous atmosphere between parents and teachers. The school district has a clear conflict of interest between providing an education and balancing the budget. In our state, everything else in the school budget is subject to cuts, but not sped. That builds resentment.

and

This is not PC, but some kids have such severe handicaps/medical conditions that they should not be in the education system at all. I know of a 7-12 school that spent 4 years trying to remove one kid; not toilet trained, unable to speak, mental age about 2 years. Highly disruptive, of course.

What follows is an essay by my friend Lea, who is making herself an expert in funding in our local k-8 school district, Redwood City School District in California. She has a child with special needs. As I'm sure you have all read, California is in a budget crisis. Another piece of the puzzle you may not know is that California school funding is...really, really complicated. District A may be under one kind of funding rules, and District B, contiguous and for all intents and purposes, identical in demographics, may be under a second and more restrictive set.

Special Needs Children and Public Education

by Lea Cuniberti-Duran

Raising and educating children with special needs is expensive. That's just a fact.

I have attended many school district budget meetings in which officials blurted to their audience, "We cannot pay for XYZ because of our financial responsibility toward children with special needs: to educate one special needs student can cost the district $100,000 a year." I also hear about how the district has "an unfunded mandate to educate children with special needs, and how this results into an encroachment to the general fund."

As one can imagine this argument is not always well received by parents of typical kids who want a great education for their children, and are lead to believe that "all those quirky kids" are in the way. It is easy to believe the encroachment argument: how can one argue with the fact that our district has to transfer $7M from general fund to the special education department?

The school district's argument has been so effective that a good friend recently confronted my husband and me. She said she couldn't see why the district had to spend so much money to educate special needs children. She resented spending $100,000 for a child who will may never be a fully contributing member of our society. Why not spend that money toward the education of all the other children, those who will be able to contribute, go to university, and have a career?

Don’t Be Fooled By the Numbers

Districts use children with special needs the way a magician uses props: as a distraction, a way to divert attention from schools underperforming because of problems that have nothing to do with special needs. Just look at the numbers: Redwood City School District spends about $10,000 per student (according to the latest data released by the district). RCSD is rated a 5 out of 10 based on State and Federal tests results for the school year 2008-09

If we look at districts around the Bay Area that, like Redwood City, are revenue-limit (meaning, they rely heavily on state funding), have the same proportion of students with special needs, YET are rated higher by GreatSchools.net; we will see that these districts spend less money per student. From this we can infer that special needs students are not the reason why school districts underperform:

• Cabrillo Unified (in Half Moon Bay) is rated 7 out of 10; per-pupil spending* = $7,477


• San Mateo-Foster City is rated 7 out of 10; per-pupil spending = $7,917


• Mountain View is rated 7 out of 10; per-pupil spending = $8,433


• San Francisco is rated 7 out of 10; per-pupil spending= $8,357


• Millbrae is rated 8 out of 10; per-pupil spending = $7,203


• Novato is rated 8 out of 10; per-pupil spending = $7,203


• Walnut Creek is rated 10 out of 10; per-pupil spending = $7,281

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*Lea crunched these numbers before the real per-pupil spending paper was available to her. So just assume that the real costs are higher.

A Good Investment
Allowing people with disabilities to reach their full potential is a good investment. With appropriate services and support, people with disabilities can lead full and productive lives. And helping those who may never be fully independent reach their full potential costs taxpayers less than funding 24/7 assistance for the rest of their lives.

We, as society, need to move away from thinking that people with a mental or physical disability cannot be contributing members of society. Just look around in your daily life, and notice some examples of people who have gone and beyond those simple expectations: my children’s occupational therapist who is missing an arm, or a tax accountant who happen to be dyslexic, or one of my personal heroes, Dr. Temple Grandin, PhD, who is a leading expert in livestock management as well as an advocate for the autism community.

Work programs can specialize in employing individuals in areas where they excel, like complex but repetitive tasks that a neurotypical person cannot perform with consistent precision. I was told of a woman with Down syndrome whose job is to prepare all the instruments for the surgeons in a mid-west hospital. Educating and teaching skills to a person with a disability may require extra resources, but it leads to more independence – so it’s not only the right thing to do, but it’s the least expensive approach.

We Are Not Sparta
We, as society, value life, and have laws to protect it. We also value diversity. Long gone is the time of Sparta when people with differences were thrown off a cliff. But in the not-so-distant past, American children with disabilities were taken away from their families and put in institutions, where they were often left in very desperate conditions: with minimal food, clothing and shelter and terrible unhygienic conditions. In 1967, for example, state institutions were homes for almost 200,000 persons with significant disabilities. Some of these institutes still exist, like the NAPA State Hospital outside Sacramento, California which has been investigated by the State as recently as 2005 for abuses and infractions against patients.

The birth of IDEA

In the 1950s and 1960s, the Federal government, with the strong support and advocacy of family associations, such as The ARC, began to develop and validate practices for children with disabilities and their families. These practices, in turn, laid the foundation for implementing effective programs and services of early intervention and special education in states and localities across the country.” (From the US Department of Education)

This lead to the creation of IDEA (Individual with Disabilities Educational Act), which gives children with disabilities the right to a free and appropriate public education, in the least restrictive environment, with accommodations, modifications and support so that children can access their education. This law benefits ALL children with an IEP, no matter how few services he or she is receiving.

What Has IDEA Accomplished?
A few examples from the US Dept of Education:

• The majority of children with disabilities are now being educated in their neighborhood schools in regular classrooms with their non-disabled peers.


• High school graduation rates and employment rates among youth with disabilities have increased dramatically. For example, graduation rates increased 14 percent from 1984 to 1997.


• Today, post-school employment rates for youth served under IDEA are twice those of older adults with similar disabilities who did not have the benefit of IDEA.


• Post-secondary enrollments among individuals with disabilities receiving IDEA services have also sharply increased, with the percentage of college freshmen reporting disabilities more than tripling since 1978.

In Conclusion

In a year like 2010, when schools are squeezed by a state in financial disarray, when budgets and programs are slashed with a hatchet; when the panic feeling of saving money makes people cut corners; special needs children will be the easy target for blaming and the victims of further cuts. As a parent and an advocate for my children, I have pledged to stay involved, informed and calm; attend as many school board meetings as I can, and share information with other parents.

.....

I am committed to push further and follow in the footsteps of the parents and advocates before us, who fought for their children to have a more appropriate education and a dignified life.

Power Teaching Revisited, now Whole Brain Teaching

The other day I was over at Tahirih Bushey's excellent site, Autism Games. She had posted Power Teaching and Followup to Whole Brain Teaching.

The name "Whole Brain Teaching" set my skeptical sense tingling -- there is so much "brain" ... (searching for polite word) bushwa... out there, especially in professional development for teachers.

But I thought I'd go look.

Power Teaching was the brainchild of three instructors, Chris Biffle (college), Jay Vanderfin (kindergarten) and Chris Rekstad (4th grade). They called it Power Teaching until sometime last year, when they reorganized into Whole Brain Teaching. They are using the power of YouTube to spread their ideas.

Here's a kindergarten lesson (the video is about 7 minutes). I'm impressed by the engagement of the students, the explicitness of the teacher's presentation, and the number of repetitions she gets in.

The website http://wholebrainteaching.com/ has a lot of resources, and Chris Biffle has posted a lot of video clips showing examples of Whole Brain Teaching at various grade levels and subjects.

I haven't poked around the site enough to know if it is truly congruent with Direct Instruction. I'd like to hear what you think.

Previously, here:

Exo on Power Teaching

Power Teaching from redkudu

Susan Engel's revolutionary new proposals for education reform

In an Op-Ed in yesterday's New York Times, Susan Engel, a senior lecturer in psychology and the director of the teaching program at Williams college, makes the bold proposal that "if we want to make sure all children learn, we will need to overhaul the curriculum itself." Almost as original as Engel's proposals is her original use of language, some of which I've put in bold face.

"Our current educational approach," Engel argues, "is completely at odds with what scientists understand about how children develop during the elementary school years and has led to a curriculum that is strangling children and teachers alike."

In particular, students shouldn't be spending "tedious hours learning isolated mathematical formulas or memorizing sheets of science facts that are unlikely to matter much in the long run."

Engel proceeds to enlighten us on the following things that "scientists know" and that "research has shown unequivocally":

-children "construct knowledge; they don't swallow it."

-"the first step to literacy is simply being immersed, through conversation and storytelling, in a reading environment"

-"the second [step to literacy] is to read a lot and often."

-"people write best when they use writing to think and to communicate rather than to get a good grade."

-"children learn best when they are interested in the material or activity they are learning."

-collaboration is "a skill easily as important as math or reading."

Based on these astonishing new insights from science, Engel boldly proposes the following paradigm-shattering changes to classrooms:

-every child should be given "ample opportunities to read and discuss books."

-children should "spend an hour a day writing about things that have actual meaning to them--stories, newspaper articles, captions for cartoons, letters to one another."

-children should "spend a short period of time practicing computation" and once they are "proficient in those basics they would be free to turn to other activities that are equally essential for math and science: devising original experiments, observing the natural world and counting things, whether they be words, events, or people." (Children love such activities, Engel argues, "if given a chance to do them in a genuine way").

-children should engage in playful activities "from building contraptions to enacting stories to inventing games," which will "help them acquire higher-order thinking skills like generating testable hypotheses, imagining situations from someone else's perspective and thinking of alternative solutions."

-children should have ample time "to collaborate with one another."

Clearly Engel not only knows her cognitive science, but has spent countless hours observing what happens in today's classrooms: all that futile phonics instruction; all those tedious math and science drills; all that dearth of collaborative learning, game playing, letter writing, and cartooning.

But I must reserve my greatest appreciation for the New York Times for deeming it fit to publish this courageous piece, with its original criticisms of today's classrooms, its revolutionary proposals for reform, and its pioneering attempts to bring science into classroom teaching (Dan Willingham, please take note!).

when is a demographer not a demographer?

answer: when he is a retired superintendent of schools

no vendor left behind

hurricane

Martin was quoted as saying: "What's amazing is New Orleans was devastated because of Hurricane Katrina, but because everything was wiped out, in essence, you are building from ground zero to change the dynamics of education in that city."

Duncan was quoted as replying: "It's a fascinating one. I spent a lot of time in New Orleans, and this is a tough thing to say, but let me be really honest. I think the best thing that happened to the education system in New Orleans was Hurricane Katrina. That education system was a disaster, and it took Hurricane Katrina to wake up the community to say that 'we have to do better.' And the progress that they've made in four years since the hurricane is unbelievable. They have a chance to create a phenomenal school district. Long way to go, but that -- that city was not serious about its education. Those children were being desperately underserved prior, and the amount of progress and the amount of reform we've seen in a short amount of time has been absolutely amazing."

Education Secretary Duncan calls Hurricane Katrina Good for New Orleans Schools
Washington Post Saturday January 30, 2010

Barry G on exercises vs. problems

By way of introduction, I am neither mathematician nor mathematics teacher, but I majored in math and have used it throughout my career, especially in the last 17 years as an analyst for the U.S. Environmental Protection Agency. My love of and facility with math is due to good teaching and good textbooks. The teachers I had in primary and secondary school provided explicit instruction and answered students’ questions; they also posed challenging problems that required us to apply what we had learned. The textbooks I used also contained explanations of the material with examples that showed every step of the problem solving process.

I fully expected the same for my daughter, but after seeing what passed for mathematics in her elementary school, I became increasingly distressed over how math is currently taught in many schools.

Optimistically believing that I could make a difference in at least a few students’ lives, I decided to teach math when I retire. I enrolled in education school about two years ago, and have one class and a 15-week student teaching requirement to go. Although I had a fairly good idea of what I was in for with respect to educational theories, I was still dismayed at what I found in my mathematics education courses.

In class after class, I have heard that when students discover material for themselves, they supposedly learn it more deeply than when it is taught directly. Similarly, I have heard that although direct instruction is effective in helping students learn and use algorithms, it is allegedly ineffective in helping students develop mathematical thinking. Throughout these courses, a general belief has prevailed that answering students’ questions and providing explicit instruction are “handing it to the student” and preventing them from “constructing their own knowledge”—to use the appropriate terminology. Overall, however, I have found that there is general confusion about what “discovery learning” actually means. I hope to make clear in this article what it means, and to identify effective and ineffective methods to foster learning through discovery.

To set this in context, it is important to understand an underlying belief espoused in my school of education: i.e., there is a difference between problem solving and exercises. This view holds that “exercises” are what students do when applying algorithms or routines they know and the term can apply even to word problems. Problem solving, which is preferred, occurs when students are not able to apply a mechanical, memorized response, but rather have to figure out what to do in a new situation. Moreover, we future teachers are told that students’ difficulty in solving problems in new contexts is evidence that the use of “mere exercises” or “procedures” is ineffective and they are overused in classrooms.

As someone who learned math largely though mere exercises and who now creatively applies math at work, I have to question this thinking.
Discovery learning in math: Exercises versus problems
by Barry Garelick

Me, too.

authentic 21st century teaching tool

The Inner Life of the Cell

BioVisions at Harvard University

More here.