kitchen table math, the sequel

Monday, December 15, 2014

Advanced Math for Young Students

Phil Keller sent me a copy of his beautiful new book Advanced Math for Young Students.

(Here's his blog. And here's an early review!)

I told Phil, as soon as I laid eyes on the book, that it has the look and feel of an authored work, nothing like the many-authored splendor of a typical commercial textbook.

Plus (and I have to say this) the cover and pages are creamy and smooth, a throwback to the physical beauty of books pre-crash (although of late I've had the sense that decent paper may be making a comeback).

The book is so compelling I may have to buy a second copy to work through myself so the other one can stay on the coffee table.

From the Introduction:
For 26 years, I have been a high school physics teacher. I work in an excellent, well-regarded high school and I have been fortunate to have many talented students who soak up all the physics I can teach them, and more. But every year, I also teach students who struggle to master the topic, despite their great efforts and mine. And I know from discussions with colleagues, both within my school and arose the country, that we are not the only ones struggling. There is something getting in our way. Maybe this will seem obvious to anyone who has struggled in physics, but here's what I think: I think it's the math.

Physics applies math. It's all about finding relationships and solving the puzzles that the laws of physics present. For the most part, this work is done in the language of mathematics, and more specifically, the language of algebra. So to be comfortable learning physics, a student has to be fluent in that language. Algebra cannot just be a memorized set of procedures for finding 'x'. It has to be a symbolic way of representing ideas. But for many students, that level of fluency is not attained unjust one year of algebra--which is all that many students have had when they start studying physics. It's no wonder that some struggle.

It is not only physic students who struggle. For even more than 26 years, I have been teaching students how to prepare for the math portion of the SAT. What I have seen over the years is that most students are not fluent enough in algebra to successfully apply algebra on the SAT. One goal of my SAT course is to teach alternative, non-algebraic approaches to SAT problems. It is also a major theme of my math SAT book, The New Math SAT Game Plan. And I will tell you something you may find surprising (or even distressing): on the SAT, these non-algebraic methods work very nicely. They won't get you to an 800, but they will take you pretty far. And even my top scorers report that they like to mix in the non-algebraic methods along with the standard approaches (which, as top students, they also know how to use).

The non-algebraic methods, however, won't get you very far in physics. In fact, a student who does not really learn the language of algebra is going to struggle in all later math and science classes: physics, statistics, computer science and beyond. That STEM door is swinging closed because one year of algebra class did not lead to sufficient fluency. So why spend only one year? Why not start earlier?

I am not saying every 7th grader should be in a high-school version of Algebra I. But I am saying that every middle school student should, over the course of the middle school years, start learning about and thinking about the ideas of algebra (even some ideas that won't reappear until Algebra II or Pre-calculus). These are ideas that take some time to ponder.

Saturday, December 13, 2014

Happy 12/13/14!

I speak as a fan of 11:11 on digital clocks.

Speaking of digital clocks, several years back my neighbor told me her son couldn't read an analog clock.

Are schools teaching analog clocks these days?

Friday, December 12, 2014

Allison on Math Nights

MSMI has done several parent math nights.

When we are asked to give a math talk by a school and it is well attended, it is because the parents are upset. If it is very well attended, it is because the parents are in an uproar about the math program.

Since we generally are going in to fix the math program, or to support a math change to it, our goal is first to name the problem. We explain the issue (nationally, not just locally, not just here, wherever we are, but nationally) is that US curricula are not preparing kids for algebra. We tell parents what they know intuivitely but can't name. We tell them what they've watched their older kids suffered through. Then we explain we need to change what we teach, when we teach it, and what the teachers know about the maththey teach to fix it. When we are done, generally, parents calm down and give us the benefit of the doubt.

Usually, the second math night (a followup) has 1/4 of the turnout the first one had.

If a math night has no attendees, it is because math is doing just fine--the parents are concerned about some other problem.

Parents don't have time to go to meetings if things are fine. They go to indicate their disapproval or their concern.

We also found if the *children* put on the math night, as one of the grade night programs, it is well received--so if we want parents to learn about the math program, learn the games to practice math facts, etc. then it needs to be a child-centered event. Parents come when kids put on a math carnival. They even enjoy it. It does not need to be fuzzy math--kids LOVE stumping their parents at mental math calculations and bar modeling.
We tell parents what they know intuivitely but can't name.

Knowing intuitively that something is amiss: this is the chronic problem parents face. You know something--your cognitive unconscious knows something, rather--but you can't name it.

I remember, when I first became politically engaged here, living in a state of chronic anxiety that a) I didn't know what I was talking about and b) I was about to be publicly called out on not knowing what I was talking about. I spent hours Googling and reading, and reading and Googling, to make sure everything I said and wrote in my district had already been said and written by someone who did know what they were talking about.

Kitchen Table Math was incredibly important to that effort. I wrote posts to put into words what my cognitive unconscious already knew (or suspected), and I said nothing, in district, without ktm commenters vetting it first.

Funny thing: at some point I stopped feeling anxious, and I stopped obsessively fact-checking myself.

I hadn't become an expert on math or math instruction or public schools in general, but somehow I knew enough to feel confident that anything I said -- even something I said off the top of my head -- would be in the realm. Which it generally was.

I also, and I hesitate putting this in print, developed a sense of how thin my adversaries' knowledge was. That's not a criticism. Administrators can't possibly know everything about every subject (that's the problem with central administrators choosing math curricula), and an administrator who went to ed school before constructivism was in full bloom may not actually know that much about the doctrine and its history, however committed s/he may be to "rolling out" one constructivist initiative after another.

In short, at some point it dawned on me that I could pretty much say whatever I wanted and get away with it. I could get sloppy and no one would know but me.

That came as a bit of a shock.

I see politicians and pundits differently now.

Politicians and pundits are churning out an awful lot of content.

How often do they actually know that what they're saying is true?

How much fact checking happens in politics?

I'm guessing not too much.

Monday, December 8, 2014

More unfortunate headlines

(Unfortunate headline number 1)

Also on page 1 of the 12/3 Education Week:

Parents Get Schooled on New Math Standards

Schools around the country are holding math nights, sending letters home, and posting videos on their websites to teach parents about the Common Core State Standards for mathematics, which require students to use calculation methods that many parents never learned.
Math nights?

Like this one?

Reminds me of that great piece of advice from the Math Trailblazers people re: how to deal with parents:
Be pro-active with parents. Don’t wait until complaints hit. People have done a lot of things to involve parents, from math nights to big math carnivals, where the kids teach the activities to the parents. There are letters in the program that go home to parents.
Math nights are never a good sign.

How to Get Parent Buy-In

Unfortunate headlines

On the front page of the 12/3 Education Week:

Consortium Sets High Bars for Its Common-Core Tests

More than half of students won't reach proficiency, Smarter Balanced predicts


Nail in the coffin.

I think I've mentioned Ed went through this in CA, back when the state was writing bigger, better tests.m(From the old kitchen table math: Regents Math A 2005)

They made the tests hard, and the whole project blew up.

You can't fail half the kids in the country -- more than half! -- and expect parents to sit still for it.


Wednesday, December 3, 2014

Philip Hamburger at CUNY tomorrow

We're going ----

American Education and the Separation of Church and State: Fact vs. Fiction

Event Date: 12/4/2014
Time: 5:30-7:15 pm
Location: Roosevelt House, 47-49 E 65th Street, New York, NY

Philip Hamburger
Maurice and Hilda Friedman Professor of Law
Columbia University

Matthew Yellin
Social Studies Teacher and Curriculum Coordinator
Hillside Arts and Letters Academy, Jamaica, Queens

Ashley Berner
Deputy Director
CUNY Institute for Education Policy

Galloping through world history

re: New York State Common Core Social Studies Framework Grades 9-12
Catherine forwarded this social studies framework (or whatever it is). This monstrosity would be laughable if I didn't know how much pain it was going to inflict on students and teachers. The idea of galloping through world history from 10,000 (!!) BCE to the present in 9th and 10th grades is beyond absurd. The only way to do this is with breathtaking superficiality, especially in the 9th grade, which goes from 10,000 BCE all the way to 1750 (yup, that's 1750 in what used to be called AD). Fourteen-year-olds are supposed to cover all this content knowledge while also learning the "practices" of history and social studies, following the strands of 10 ridiculously huge themes, and developing "literacy" in reading, writing, and talking about history.

It seems as though the geniuses who devised the program fused together the goals of Columbia Teachers College critical thinking devotees with Hirschian content knowledge folks and then added in the ideas of everyone residing between the two poles (Common Core, National History Standards, National Council for the Social Studies, etc.) What an ungodly mess!
and see: A historian reads New York State's Common Core Social Studies Standards 9-12

Devices in boxes

New York City Comptroller Scott M. Stringer said Monday the city school system has poor inventory controls and inaccurate records, leaving thousands of computers and tablets either missing or unused.

[snip]

The comptroller said his team investigated computers and tablets bought from Apple Inc. and Lenovo Group for nine schools and department headquarters from July 2011 through June 2013.

The report said the department was unable to name the whereabouts of 1,817 laptop and desk computers at these sites, and auditors found 394 devices sitting in unopened boxes, some for years.

Mr. Stringer said he believed this was probably “just the tip of the iceberg” of lost or unused goods among city schools.

Audit: Thousands of New York City School Computers Are Missing or Unused
Report by City Comptroller Says School System Has Poor Inventory Controls
By LESLIE BRODY
Dec. 2, 2014 12:10 a.m. ET
Are there recall elections for 2-billion dollar technology bonds?

Hope so.

Monday, December 1, 2014

It's the peers, stupid

I remember being struck, years ago, by Laurence Steinberg's idea that what parents in expensive school districts are really buying isn't good schools but good peers.

Made sense.

From a new NBER paper:
When effort is observable to peers, students may act to avoid social penalties by conforming to prevailing norms. To test for such behavior, we conducted an experiment in which 11th grade students were offered complimentary access to an online SAT preparatory course. Signup sheets differed randomly across students (within classrooms) only in the extent to which they emphasized that the decision to enroll would be kept private from classmates.

[snip]

When offered the course in a non-honors class, these students were 25 percentage points less likely to sign up if the decision was public rather than private. But if they were offered the course in one of their honors classes, they were 25 percentage points more likely to sign up when the decision was public. Thus, students are highly responsive to who their peers are and what the prevailing norm is when they make decisions.

How Does Peer Pressure Affect Educational Investments?
Leonardo Bursztyn, Robert Jensen
NBER Working Paper No. 20714
Issued in November 2014

Monday, November 24, 2014

A historian reads NY's Common Core Social Studies "Framework"

Peter Meyer just sent New York's Common Core Social Studies Framework. Ed (who is an actual historian) is reading, and I am typing:

"hodgepodge"

"trying to do everything in two years with relatively young students"

"Paleolithic to modern day in 2 years"

"breathtakingly superficial"

"trying to teach the analytical abilities--compare & contrast, critical thinking, making arguments--and also covering a massive insane amount of information"

"it's got knowledge, but way too much of it and way too superficial" -- but also it has these "very advanced analytical skills"

"a whole grid of [analytical] things you're supposed to do"

"then there are themes"

"social studies practices"

"gathering, interpreting, and using evidence"

"under that there are 7 things"

"deconstruct and construct plausible and persuasive arguments using evidence"

"create meaningful and persuasive understandings of the past by fusing disparate and relevant evidence from primary and secondary sources and drawing connections to the present" - "that's one thing and that's just one of 7 things - practices! - under the first category of practices"

"categories of practices -- there are six different categories, each of which has between 6 and 8 subcategories, so we've got about 50 categories altogether"

"then we have reading standards for literacy in history/social studies"

"4 different categories under that"

"then there are text types and purposes"

"4 categories under that"

"range of writing, whatever that is"

"then there's speaking and listening standards, a zillion of those"

"only after those things are mentioned do we get to global history and geography"

"I love this"

"we've already gone through 10 pages of practices, reading standards, writing standards, speaking and presentation standards, then we get to a subheading called Global history and geography"

"this two-year sequence is arranged chronologically, beginning with the Paleolithic and continuing to the present"

"and then, the first thing we have after that, is 10 themes"

"Individual Development and Cultural Identity"

"Development, Movement, and Interaction of Cultures"

"the next one I love a lot: Time, Continuity, and Change --- how about that for a small one?"

"Oh my God, this is just .... "

"and so the first unit is called The First Civilizations, it goes from around 10,000 BCE to 630 CE, so that's 11 centuries in the first unit"

"and then of course there's a zillion subthemes under that"

"then the next one is just 1300 years"

"and it's not just Europe, it's the world, it's China, it's Africa..."

"I love the next one, it's called 'An Age of Expanding Connections' and that's also a thousand years"

"we're talking 9th graders, this is still 9th grade"

"so we're now on page 19 and we've gotten to the end of 9th grade"

"teachers should note that some KEY IDEAS -- that's in caps -- may require extra time and attention. For example, 10.1 The World in 750 is a brief introduction and will not require as much time as other key ideas. So it gives the exception rather than the example of a key idea that will require extra time."

"While the course emphasizes the importance of historical and spatial thinking, all of the social studies practices and standards are included in the study of global history and geography -- This is the kitchen sink. They're trying to do all of the politically correct stuff, which is thinking, and then they have knowledge."

"and so the 10th grade course is plausible - it's 1750 to the present - that's completely plausible"

"in 9th grade you're going from 10,000 BC to 1750 AD"

"students will examine efforts to unify, stabilize, and centralize Japan under the Tokugawa Shogunate!"

"oh, and then students will compare and contrast the Tokugawa Shogunate in Japan with France under the rule of the Bourbon Dynasty, looking at the rule of Edo and Paris/Versailles"

"then you're looking at attempts to control the daimyo and nobles ------- and the development of bureaucracies!"

"this is just one of three things you're doing under Theme 10.1, which is the theme you're not supposed to spend very much time of because it's just a snapshot of the world in 1750"

"and then the next unit goes from 1750 to 1914"

"that is a long mother of a unit"

"under that you do Enlightenment, Revolution, Nationalism"

"then the causes and effects of the Industrial Revolution"

"then Imperialism"

"basically they're trying to satisfy all these different constituencies, you've got the Hirsch knowledge constituency, you've got the critical thinking constituency, you've got the historical practices constituency ... they've just thrown it all in... plus you've got all the literacy stuff, too"

"they cover the entire Enlightenment by comparing one text by Hobbes to one text by Locke"

"nothing about the Scottish Enlightenment"

"nothing about the German Englightenment"

"nothing about the French Enlightenment"

"just these two British guys"

Wednesday, November 19, 2014

David Coleman hearts China

I just looked this up for a post on the Parents Forum re: Chinese versus French, and now see that I apparently never posted it here:
The College Board has earned headlines recently for revising the SAT exam and supporting Common Core state education standards. But that's not all the organization does with its outsize influence on American education. This month it announced plans to teach Chinese language and culture in 20 school districts across the U.S.—in partnership with China's state-run Confucius Institutes, which are known to mix cultural exchange with Communist Party propaganda.

The College Board website doesn't mention that Confucius Institutes are Chinese government programs. Nor does it admit to any concerns that Hanban—the Chinese state agency that supervises, funds and provides staff to Confucius Institutes—may bully teachers or censor lessons within American classrooms.

Instead, College Board President David Coleman waxes poetic about the venture: "Hanban is just like the sun. It lights the path to develop Chinese teaching in the U.S.," he said at a conference in Los Angeles on May 8. "The College Board is the moon. I am so honored to reflect the light that we've gotten from Hanban." These remarks, so far reported only by Chinese state media, were confirmed by the College Board.

China's Beachhead in American Schools
by David Feith
May 26, 2014 1:23 p.m. ET
David Coleman is not The One.

Froggiemama on gatekeeping, part 2 (and against zero)

To follow up on the story - we did go the special needs route after my extremely bright kid was gatekeepered out of every honors course for the 9th grade. Our district has cutoffs that range from 90 to 95, which you have to maintain for 3 quarters the year before. The problem is, the 8th grade teachers grade largely on vast reams of homework, which all must be submitted in the exact format mandated. It is all on paper, so everyday is a massive paper shuffle. If anything gets lost, it is a 0. The science teacher would take off points if the pen color was blue instead of black, or the margins were wrong, or there were fraggles left on the paper. So my smart but messy and forgetful kid could never get his average up over the cutoffs even though he aced the tests.

So we had a full neuropsych done to the tune of several thousand dollars, targeted at the school district. We learned, surprise, surprise, that my son scores in one of the higher reaches of the gifted realm (forget the term now for his level), and is also "inattentive ADHD". We did a 504 plan, during which I promised he would see a weekly therapist/coach (to the tune of $195 per week) and would take meds. Those promises finally got him a waiver to get into the honors courses. The last one to capitulate was science (his 8th grade science teacher hated him and refused to help out). And now, guess what? He has the highest average in the class in science, with several 100's on tests that the teacher says "no one gets a 100 on." Bleh to the gatekeepers.
As Susan S used to say, I don't even know where to begin.

Since I don't, and since I don't remember discussing this before, here is Douglas Reeves on "The Case Against Zero."
[T]he common use of the zero today is based not on a four-point scale but on a 100-point scale. This defies logic and mathematical accuracy. On a 100-point scale, the interval between numerical and letter grades is typically 10 points, with the break points at 90, 80, 70, and so on. But when the grade of zero is applied to a 100-point scale, the interval between the D and F is not 10 points but 60 points. Most state standards in mathematics require that fifth-grade students understand the principles of ratios -- for example, A is to B as 4 is to 3; D is to F as 1 is to zero. Yet the persistence of the zero on a 100-point scale indicates that many people with advanced degrees, including those with more background in mathematics than the typical teacher, have not applied the ratio standard to their own professional practices. To insist on the use of a zero on a 100-point scale is to assert that work that is not turned in deserves a penalty that is many times more severe than that assessed for work that is done wretchedly and is worth a D. Readers were asked earlier how many points would be awarded to a student who failed to turn in work on a grading scale of 4, 3, 2, 1, 0, but I'll bet not a single person arrived at the answer "minus 6." Yet that is precisely the logic that is employed when the zero is awarded on a 100- point scale.

There are two issues at hand. The first, and most important, is to determine the appropriate consequence for students who fail to complete an assignment. The most common answer is to punish these students. Evidence to the contrary notwithstanding, there is an almost fanatical belief that punishment through grades will motivate students. In contrast, there are at least a few educators experimenting with the notion that the appropriate consequence for failing to complete an assignment is to require the student to complete the assignment. That is, students lose privileges -- free time and unstructured class or study-hall time -- and are required to complete the assignment. The price of freedom is proficiency, and students are motivated not by threats of failure but by the opportunity to earn greater freedom and discretion by completing work accurately and on time. I know my colleagues well enough to understand that this argument will not persuade many of them. Rewards and punishments are part of the psyche of schools, particularly at the secondary level.
Froggiemama on gatekeeping, part 1

Monday, November 17, 2014

Off-topic, Ebola edition

$20 million to treat one patient with Ebola
Around 100 healthcare workers were involved in treating Spencer while he was isolated at Bellevue, Schumer said.

In addition, a 24-hour-a-day operation which employed approximately 500 staffers was established by the city’s Health Department to keep track of the estimated 300 people who arrive each day from Ebola hotspots in West Africa.

Meryl Nass, who writes the fabulous Anthrax Vaccine, on what scientists don't know about Ebola, according the Institute of Medicine:
  • how long the incubation period may last is unknown
  • how long Ebola virus stays viable on surfaces is unknown
  • how to effectively kill it is unclear
  • the best PPE has not been established
  • whether Ebola can be transmitted before symptoms start is unknown (several cites suggest it can)
  • its potential to be aerosolized is uncertain
  • whether livestock or pets can be intermediate hosts is unknown
IOM workshop admits they don't know what we said they don't know
I have zero patience for public officials telling me they know things they don't.

Apparently there's an entire literature on communication with the public that shows everyone else feels the same way.

Sunday, November 16, 2014

Terrific discussion of "critical thinking" at Cost of College

Trying to teach the enigmatic and increasingly popular skill of critical thinking 

(I'm posting from my iPad -- will clean this up later.)

Hopscotching through the comments, I was struck by two things:

1. "Critical thinking" probably means different things in different disciplines.

2. Writers are always specialists. I can write about education and the brain; I can't write about sports. 

The reason I can write about education and the brain is that I know a good deal about both. 

As a corollary to that statement, I'm only now beginning to be able to write about Common Core because until now I haven't known enough about it to have any thoughts worth writing down. I've wanted for the obsessive, driven focus it would take to actually read CC documents & follow CC developments -- read CC documents and remember what I've read. (My allotment of obsessive, driven reading focus has been directed to macro and grammar/linguistics/writing instruction.)

When I do write about CC, I write about aspects of CC I know: mostly its implementation in my district, but also the top-down & undemocratic nature of its creation and "roll out." 

Or I post snippets from the work of writers who **are** knowledgeable about it.

Nonfiction writers are the ultimate exemplars of the fact that knowledge comes first.

Critical thinking and writing come second.

Saturday, November 15, 2014

Froggiemama on gatekeeping

I can remember being gatekeepered out of 8th grade algebra back in the 70's, and the memory still makes me boil. In my case, I was a year younger than the other kids, so the teachers said I wasn't "developmentally ready" for abstract mathematics. So I wasted a year in consumer math.

Fast forward to today - I was utterly shocked to find out that my kids school gatekeepers 8th grade algebra (as well as a whole slew of other "advanced" courses). I had thought gatekeepering at such a young age had been discredited in the 80's. Why are they still doing it? We end up with a school system that is as tracked as the German system. And worse yet, in my district, the tracking criteria has nothing to do with whether a kid is good at math or not. It is all based on whether they are diligent at submitting homework that is neat and organized according to teacher standards.

However, this has nothing to do with Common Core in our district. They have been doing this for eons. At parents night at our high school last spring, the principal was complaining that we don't send enough students to schools like MIT and CMU. Well, you know, if you gatekeeper out all your most talented students in 8th grade, the messy, creative, smart ones, you won't have much talent left in the 12th grade.

Froggiemama on gatekeeping, part 2
At our middle school, when Chris was there, 7th-grade kids were gatekeepered in and out of Earth Science on the basis of "maturity."

"Maturity" meant, among other things, that the student was proactive (I think that was the actual term, proactive) in "seeking extra help."

(Code for: hire a tutor.)

One of the most talented students in the school was gatekeepered out of Earth Science on grounds that she was "anxious."

Anxious!

As I recall, this student had one of the highest scores on the enrollment test. But she was anxious, so no.

Ed and I got involved in that case because we happened to know the parents, who told us what was going on. (Involved in the sense that we could figure out the relevant statutes and knew people to consult.)

What it boiled down to:

Number one, if a high-achieving student has an emotional issue so disabling that she can't take Earth Science, the school is legally obligated to "identify" her as having special needs, which the school had not done (and was not proposing to do).

Number two, if the school had identified this student as having special needs, it could not keep her out of Earth Science on grounds that she had special needs.

Basically, the building principal was wrong on every conceivable ground.

The assistant superintendent intervened and the girl was enrolled.

Unfortunately, the assistant superintendent didn't last long in our district.

The College Board is betraying our trust

From a teacher at a high-performing high school:
To teach a class called AP anything, you have to have your syllabus approved by the College Board. They want to ensure that you are covering the content that they require. This already annoys me: let my students take the test and see how they do. Their results will indicate whether I am covering the material or not.

But it's their name so it's their rules. I submit my curriculum. First try, it comes back rejected: I have not provided evidence that my course is "student centered" and that I use "guided inquiry" to develop "critical thinking skills."

So to use the AP label, you give the College Board authority to define what you teach and how you teach it.

 Fortunately (as I ranted to my students), educationists use undefined buzzwords that can mean anything we want them to. So I announced that from this day forward, my class is now 100% student-centered. Can you smell the fresh clean scent? We then continued with the lesson as planned...

We can not make "critical thinking" the goal. Whatever critical thinking may mean (and I don't really know), we better hope that it emerges as a result of the careful work that we do teaching our specific subjects. But the goal should always be to teach the subjects!

When you make "critical thinking" the goal, then someone is going to say: so math/history/French/science is not that important -- let's just teach them how to think critically. What follows from that is nearly always some inane, time-wasting idea for an "activity" that is disconnected from reality and certainly disconnected from the subject I thought we were trying to teach.
If the College Board is now simply an outpost of Teachers College, it should say so, out loud.

Is this the work of David Coleman?

And is the ACT the last man standing?

Thursday, November 13, 2014

On the internet, nobody knows you're a dog

I'd forgotten that!

Maria Konnikova mentions the cartoon in an interesting piece about online comments.

I've always been amazed by kitchen table math commenters. Smart, funny, and civil for years on end.

Tuesday, November 11, 2014

Famous last words

Steve Leinwand, principal researcher at the American Institutes for Research’s education program, also argues that America’s math teachers should embrace the shift away from right answers. “Common Core has the audacity to use the word ‘understand’ 218 times,” said Leinwand.

Why so many parents are freaking out about Common Core math
Using the word "understand" 218 times while using the words "right answer" 0 times seems a tad out of whack to me.

Speaking of right answers, I was going through a stack of Education Weeks yesterday & found this:
Ask a child to name a favorite class, and odds are you’ll hear two letters: P.E. Ask an adult which subject has been most valuable in life, and the most popular answer turns out to be math.

That’s according to new survey results by the Gallup organization. About one-third of adults (34 percent) picked math. The next in line was English, at 21 percent, followed by science at 12 percent.

"Gallup Poll Social Series: Work and Education" September 18, 2013
Dollars to donuts, every one of those respondents thinks getting the right answer is a major reason why math is valuable.

Constructivists seem to want authentic, "real-world" problems without authentic, real-world right answers.

I will never get that.

Steve Leinwand, btw, has been singing the same song for decades.

Here he is in 1994:
It's time to recognize that, for many students, real mathematical power, on the one hand, and facility with multidigit, pencil-and-paper computational algorithms, on the other, are mutually exclusive. In fact, it's time to acknowledge that continuing to teach these skills to our students is not only unnecessary, but counterproductive and downright dangerous.

[snip]

Shouldn't we be as eager to end our obsessive love affair with pencil-and-paper computation as we were to move on from outhouses and sundials?

It's Time To Abandon Computational Algorithms By Steven Leinwand | February 9, 1994
Outhouses, sundials, paper and pencil.

Now there's an analogy that hasn't panned out.

As it turns out, it was the analogy between outhouses and paper and pencil that was not only wrong, but counterproductive and downright dangerous.

Monday, November 10, 2014

Debbie Downer, Nervous Nancy, and Unprofessional Sally

From the latest installment of Barry's "Conversations on the Rifle Range":
Like many school districts, mine instituted “late-start Mondays”, in which school started an hour later and periods were shortened from one hour to 47 minutes. We reported at 7:30 (as always) and had to attend a meeting or other activities as announced. On one of my first late-start Mondays, the math teachers were told to meet for a discussion of the upcoming parents’ “math night” scheduled for later that week. The District would present and discuss the various pathways in math under Common Core and answer questions. There was growing concern among parents regarding the increased limit on the number of eighth grade students who can take Algebra 1, and questions about how students could progress to calculus in twelfth grade.

We met in the core area of the module my classroom was in—a hallway/workspace common to all the classrooms in the module. Sally, the District person I had met at the high school earlier, led the meeting. Her talk was similar to what she told us when I last heard her at the high school in the fall: Algebra 1 for eighth graders would be limited to the “truly gifted”.

“I imagine we’ll have the usual Debbie Downers and Nervous Nancies in the audience on ‘math night’. We want to make two things clear: that there’s no shame in taking Grade 8 math; under Common Core it’s equivalent to the traditional Algebra 1. And secondly, placement in eighth grade Algebra 1 will be more difficult. Fewer students will qualify—Common Core is very challenging.” Which all sounds plausible but leaves open the question of why an elite corps of students is then allowed to take the traditional Algebra 1 course in eighth grade.

Conversations on the Rifle Range 14: Late Start Mondays, Debby Downers, Nervous Nancies and a Tiger Mom
Time for a parent uprising.

Speaking of agency

Speaking of agency .....
Giving a student control over their learning has theoretical and intuitive appeal, but its effects are neither powerful nor consistent in the empirical literature base. This meta-analysis updated previous meta-analytic research by Niemiec, Sikorski, and Walberg by studying the overall effectiveness of providing learner control within educational technology, the characteristics of instruction along the continuum of learner control, and elements of the instructional environments that may play a role in the effectiveness of educational technology. The search terms identified 85 distinct articles, 18 of which met the inclusion criteria (29 effects were computed). The overall effect of including learner control within educational technology was almost zero (g = 0.05), and were also near zero when examining most characteristics of control and classroom contextual factors. Moderate effects were reported for providing learner control within social studies/history courses and for comprehensive technology instructional programs. The effects were larger for behavioral outcomes than academic outcomes, but both were small.

Updated Meta-Analysis of Learner Control Within Educational Technology
Abbey C. Karich, Matthew K. Burns, and Kathrin E. Maki
Review of Educational Research
September 2014, Vol. 84, No. 3, pp. 392–410
Yet another fruitless attempt to transfer adult authority to children.

Meme alert

Agency is the new thing.


The Windward School on "self-determination" and direct instruction

My copy of The Beacon, The Windward School's newsletter, arrived today. Here's what the heads of school have to say on the subject of grit, resilience, self-determination theory, and the like:
Autonomy in the classroom does not necessarily mean students roaming at will between workstations, working in groups, and self-directing their own learning. Autonomy, more essentially, is seen in the student who attends to her work with a personally chosen sense of purpose and self-agency. (In this context, we refer to agency as the power taken by an individual to make "decisions regarding their preferences and actions.") Although not obvious, the direct instruction methodology that guides the Windward classroom is fundamental to the development of autonomous learners.

Every direct instruction lesson begins with three elements:

  • the presentation of an aim for the lesson;
  • the review of prior lessons, clarifying how the current instruction connects to knowledge and skills already learned; and
  • a motivation that gives students an anticipation and incentive for the day's lesson.

By ensuring that every lesson has a purpose, builds upon prior knowledge, and engages the motivation of the students, teachers invoke a volitional engagement of students with the curriculum. Students attend to their work and stick to their work with grit, not as a result of fear or dread or the promise of extrinsic rewards, but because they discern and embrace the purpose of their learning.
The Windward School costs ... at least $40K/year, I think. Somewhere in there.

It's incredible, when you think about it.

The only children in Westchester County who can count on receiving direct instruction every day at school are kids who a) have a learning disability and b) have $40K to spend on tuition at The Windward School.

What happened to Khan Academy?

I wasn't a delighted fan of Khan Academy. Every time I wanted to watch, I found an uncorrected error in his video, or a mess on the blackboard. But at least it allowed you to look up a technique for how to compute something.

Salman Khan became a darling of the ed establishment, which only made sense if they were sure they could co-opt his product.

Well, yesterday, I looked at Khan Academy. And the only redeeming feature it had, that it let you just look up whatever technique you needed to see, is gone. Now you must sign in. Now it tells you how to do the whole third grade Common Core standards, it seems, and you can work your way through.

I haven't had time to look to the Wayback Machine, so maybe it's still accessible there.  But really, is what's offered now any different than what IXL and ALEKS and the rest of them claim to do?

Am I missing something? Wasn't there once a whole set of Singapore math problems he was supposedly doing and tracking for you? Is that gone, too?

I keep trying to warn schools that parents are going to revolt against this kind of big-data nonsense. They don't believe me. But I think Khan's complete change into yet another of the same-old-same-old will be another nail in that coffin.