The Math Teacher’s Job is Neither to Teach the Lesson, Nor to Help Individual Students Who are Struggling!

….but rather, to prepare a lesson from which ALL the students can learn!

… according to the way that Japanese math teachers are taught their craft, as described below. You will find that these methods, which include Lesson Study, are pretty much the exact opposite of American “Direct Instruction” or “Teaching Like A Champion.”  Given that nobody claims that Japanese students lag behind American ones in math or science, perhaps we in the US could profit from examining how other nations’ teachers do it. Note also that this description is of mathematics lessons in elementary school, not middle or high school.

Please read the following description and leave comments on what you think.

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From Tom McDougal. Lesson Study Alliance, Chicago [and brought to my attention by Jerry Becker. – GFB]
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It’s not the teacher’s job to teach the students!

By Tom McDougal

What?? You might be thinking. What else could the teacher’s job be but to teach?

The teacher’s job is to ensure that students learn, all of them, we hope, though we know we will usually fall short.

In Japan, most (elementary) math lessons are designed as  “teaching through problem solving” lessons (TtP). A teaching through problem solving lesson typically includes the following parts:

 
1.  introduce the problem
2.  explicitly pose the task for students
3.  students work on the task (5-10 minutes)
4.  share student ideas
5.  compare and discuss the ideas for the purpose of learning new mathematics
6.  summarize major points from the lesson
7.  student reflections

(There is sometimes overlap, and a back-and-forth between some of these, e.g. #4 & #5 may be combined.)

While students are working on the task (#3), the teacher walks around the room, monitoring their progress. Japanese educators have a term for this, kikkan shido, or  “providing] guidance between the desks.” They recognize that there are different ways to do kikkan shido, and it is often a subject of discussion in Lesson Study. During planning, for example, a team will usually discuss how – or whether  – the teacher should respond to a student who exhibits a particular misconception; during the post-lesson discussion, there may be argument about whether the kikkan shido was effective. And, it is considered a skill that new teachers need to develop.

Teachers who are inexperienced with TtP lessons often make an unfortunate error while doing kikkan shido: they see a student who is struggling, or who has done something wrong, and they stop and help that student. After several minutes the teacher moves on, encounters another student who is having trouble, helps that student, and so on. Then, suddenly, time is up, and the lesson ends.

There are at least four important drawbacks to this type of kikkan shido. First, as my description suggests, it uses up a lot of time. The teacher may never get around to all of the students, and other students who need help may never get it. Second, by addressing misconceptions privately rather than publicly, the teacher deprives other students of the opportunity to analyze those misconceptions and learn why they are incorrect. Any experienced teacher knows that certain misconceptions are very common, so when one student makes an error that stems from a common misconception, that offers an opportunity to “inoculate” other students against making the same error sometime later.

The third problem with tutoring students individually is that it conflicts with the whole premise of teaching through problem solving. You expect that some, or even all, of the students will have difficulty with the task; that’s why it’s called “problem solving” and not “practice.” Teaching through problem solving involves an expectation that students will have difficulty, but that the comparison and discussion phase will address their difficulties and that, by the end of the lesson, all (or almost all) of the students will have learned what they need to know.

And fourth, we want to help students learn to give viable arguments and to critique the reasoning of others, the third Standard for Mathematical Practice in the Common Core State Standards. To accomplish this, we need for students to share and discuss different, perhaps conflicting solutions. Students need to do the critiquing, not the teacher.

 
Of course, some errors are simply the result of sloppiness, or otherwise unrelated to the main learning goals of the lesson. So when the teacher sees an error while conducting kikkan shido, he or she has to decide: should this be addressed privately or publicly? What should I say to this student? Do I expect that, by the end of the lesson, this student will understand what he or she has done wrong? This is a tricky decision, and an important part of lesson planning is anticipating different student responses, correct and incorrect, and deciding ahead of time how to handle them.

Caring teachers naturally feel drawn to help struggling students: they feel like it is their duty to help those students right now. To counteract that impulse, I say, bluntly:

It is not the teacher’s job to teach the students. It’s the teacher’s job to create a lesson that teaches the students.

 

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DC’s Black, Hispanic and White Students Progress on the NAEP Under Mayoral Control and Before – 8th Grade Reading

8th grade naep reading, DC, B + W + H

We are looking at the average scale scores for 8th grade black, Hispanic, and white students in DC on the NAEP reading tests over the past two decades. Ten years ago, Washington DC made the transition from a popularly-elected school board to direct mayoral control of the school system. Michelle Rhee and Kaya Henderson, our first and second Chancellors under the new system, promised some pretty amazing gains if they were given all that power and many millions of dollars from the Walton, Arnold, and Broad foundations, and I showed that almost none of their promises worked out.

In the graph above, the vertical, dashed, green line shows when mayoral control was imposed, shortly after the end of school in 2007, so it marks a convenient end-point for school board control and a baseline for measuring the effects of mayoral control.

For 8th grade black students in reading in DC, their average scale scores went from 233 in 1998 to 238 in 2007, under the elected school board, which is a (very small) rise of 5 points in 9 years, or about 0.6 points per year. Under mayoral control, their scores went from 238 to 240, which is an even tinier increase of 2 points in 10 years, or 0.2 points per year.

Worse, not better.

For the Hispanic students, scores only increased from 246 to 249 before we had chancellors, or 3 points in 9 years, or about 0.3 points per year. After mayoral control, their scores went DOWN from 249 to 242 in 10 years, or a decrease of 0.7 points per year.

Again, worse, not better: going in the wrong direction entirely.

For white DC 8th graders, it’s not possible to make the same types of comparisons, because there were not sufficient numbers of white eighth-grade students in DC taking the test during five of the last ten test administrations for the NCES statisticians to give reliable results. However, we do know that in 2005 (pre-mayoral control) white 8th graders in DC scored 301 points. And since the mayors and the chancellors took over direct control of education in DC, not once have white students scored that high.

Again, worse, not better.

Why do we keep doing the same things that keep making things worse?

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My previous posts on this topic:

  1. https://gfbrandenburg.wordpress.com/2018/04/20/comparing-dcs-4th-grade-white-black-and-hispanic-students-in-the-math-naep/
  2. https://gfbrandenburg.wordpress.com/2018/04/17/the-one-area-where-some-dc-students-improved-under-mayoral-control-of-education/
  3. https://gfbrandenburg.wordpress.com/2018/04/17/more-flat-lines-4th-grade-reading-for-hispanic-and-white-students-dc-and-nationwide/
  4. https://gfbrandenburg.wordpress.com/2018/04/17/one-area-with-a-bit-of-improvement-4th-grade-math-for-black-students-on-the-naep/
  5. https://gfbrandenburg.wordpress.com/2018/04/16/was-there-any-progress-in-8th-grade-math-on-the-naep-in-dc-or-elsewhere/
  6. https://gfbrandenburg.wordpress.com/2018/04/16/progress-perhaps-with-8th-grade-white-students-in-dc-on-naep-after-mayoral-control/
  7. https://gfbrandenburg.wordpress.com/2018/04/16/maybe-there-was-progress-with-hispanic-students-in-dc-and-elsewhere/
  8. https://gfbrandenburg.wordpress.com/2018/04/16/just-how-much-success-has-there-been-with-the-reformista-drive-to-improve-scores-over-the-past-20-years/

 

One Area With A Bit of Improvement: 4th Grade Reading for Black Students on the NAEP

If you’ve been following this series, you’ve noticed that pretty much all of the trends for all subgroups in 8th grade math and reading have been flat — essentially no change after 20 years and billions of dollars of ill-spent money on ‘reforms’ that most teachers have found to be utterly worthless.

This graph, however, for 4th grade students in reading in DC and elsewhere, does show a little bit of improvement in DC only for the period 2013-now. However, there have also been drops. Mostly, there is not much change at all. But if you look very carefully you can see a small increase during that time period – just as there were small increases for DC’s hispanic students BEFORE mayoral control.

How good are your eyes?

4th grade math naep black students dc + elsewhere 1998-2017

 

EDIT: My bad: this was reading, not math. It’s fixed now, and I edited some of the text. GFB, 4/17/2018, 2:12 pm

Was There Any Progress in 8th Grade Math on the NAEP in DC or Elsewhere?

The answer is, basically, no.

You can see for yourself. This time I am posting a graph and table for average math NAEP scale scores for 8th graders who were black, Hispanic, or white. Honestly, they show that billions of dollars spent in dubious schemes such as having students spend an enormous fraction of the school year doing test prep, firing teachers based on students’ test scores (either their own students or those whom they’ve never met) and turning over much of our public educational system over to billionaires and profiteers — it’s all been a failure. Based on their own yardstick — test scores.

Here are the graphs. Read them and either weep or get determined to do something better about this ‘reformster’ charade.

8th grade math naep black students 1996-2017

8th grade math naep hispanic students 1996-2917

8th grade math Naep scores, white students, 1996-2017

Ten Years of Educational Reform in DC – Results: Total MathCounts Collapse for the Public AND Charter Schools

Just having finished helping to judge the first three rounds of the DC State-Level MathCounts competition, I have some sad news. NOT A SINGLE TEAM FROM ANY DC PUBLIC OR CHARTER SCHOOL PARTICIPATED. Two kids from Hardy MS were the only ones from any DC public or charter school.

I was in the judging room where all the answer sheets were handed in, and I and some engineers and mathematicians had volunteered to come in and score the answers.*

In past years, for example, when I was a math teacher and MathCounts coach at Alice Deal JHS/MS, the public schools often dominated the competitions. It wasn’t just my own teams, though — many students from other public schools, and later on, from DC’s charter schools, participated. (Many years, my team beat all of the others. Sometimes we didn’t, but we were always quite competitive, and I have a lot of trophies.)

While a few public or charter schools did field full or partial teams on the previous “chapter” level of competition last month, this time, at the “state” level I am sad to report that there were none at all. (Including Deal. =-{ )

That’s what ten years of Education ‘Reform’ has brought to DC public and charter schools.

Such excellence! a bunch of rot.

In addition to the facts that

  • one-third of last year’s DCPS senior class had so many unexcused class absences that they shouldn’t have graduated at all;
  • officials simply lied about massive attendance and truancy problems;
  • officials are finally beginning to investigate massive enrollment frauds at desirable DC public schools
  • DCPS hid enormous amounts of cheating by ADULTS on the SAT-9 NCLB test after Rhee twisted each principal’s arm to produce higher scores or else.
  • the punishment of pretty much any student misbehavior in class has been forbidden;
  • large number of actual suspensions were in fact hidden;
  • there is a massive turnover of teachers and school administrators – a revolving door as enormous percentages of teachers break down and quit mid-year (in both public and charter schools);
  • there isfraudulent manipulation of waiting lists;
  • these frauds are probably also true at some or all of charter schools, but nobody is investigating them at all because they don’t have to share data and the ‘state’ agency hides what they do get;
  • DC still has the largest black-white standardized test-score gap in the nation;
  • DC is still attempting to implement a developmentally-inappropriate “common core” curriculum funded by Bill Gates and written by a handful of know-it-alls who had never taught;
  • Rhee and Henderson fired or forced out massive numbers of African-American teachers, often lying about the reasons;
  • they implemented a now-many-times-discredited“value-added method” of determining the supposed worth of teachers and administrators, and used that to terminate many of them;
  • they also closed  dozens of public schools in poor, black neighborhoods.

Yes, fourth-grade NAEP national math and reading scores have continued to rise – but they were rising at just about that exact same rate from 2000 through 2007, that is to say, BEFORE mayoral control of schools and the appointment of that mistress of lies, fraud, and false accusations: Michelle Rhee.

So what I saw today at the DC ‘state’-wide competition is just one example of how to destroy public education.

When we will we go back to having an elected school board, and begin having a rational, integrated, high-quality public educational system in DC?

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* Fortunately, we didn’t have to produce the answers ourselves! Those questions are really HARD! We adults, all mathematically quite proficient, had fun trying to solve a few of them when we had some down time — and marveled at the idea of sixth, seventh, or eighth graders solving them at all! (If you are curious, you can see previous year’s MathCounts questions here.)

Poverty vs Proficiency In DC Public and Charter Schools

You’ve all heard the slogan:

“A child’s course in life should be determined not by the zip code she’s born in.” Source

Reformers like Bush2, Barack Obama, Michelle Rhee, Joel Klein, Arne Duncan, Adrian Fenty, Bill Gates, the Bradleys and the Waltons, all said they were going to bust the educational effects of poverty in DC and other places around the country. Their chosen methods were gutting the teachers’ unions, establishing lots of charter schools, firing or forcing into retirement thousands of teachers, establishing a revolving door of inexperienced teachers who almost all crash and burn out after a few years, and transforming schooling into all testing and test prep, all the time, especially on-line, so as to collect lots of data.

Have they been successful at solving the zip-code-and-destiny problem?

If we look at the only publicly-available data that we have for Washington, DC, namely PARCC scores and percentages of students who are designated as ‘At Risk’, the answer is:

NO.

Look at these two graphs, which I’ve prepared by matching the percentages of students scoring ‘Proficient’ or ‘Advanced’ in Washington, DC, at every single DC public school and charter school, versus OSSE’s official list of the percentages and numbers of students officially designated as being ‘At Risk’.

Unfortunately, the correlation is extremely strong, and negative. In other words, the fewer the kids who are officially ‘At Risk’ at any given school, the higher the percentage of kids scoring ‘Proficient’ or ‘Advanced’ on the PARCC – the Big Standardized test given in April of 2017. And obversely the greater the percentage of students at risk at any school, the lower the percentage of students ‘passing’ the PARCC.

The effect is particularly strong in the English and Reading part of the test.

(Note: I didn’t make up the ‘At Risk’ category. It’s relatively new, but combines statistics regarding homelessness, receiving food, living in poverty, divorces, family members being incarcerated, and so on.)

Here is the graph I made for the English Language Arts test. That R-squared correlation, 0.7016, is one of the strongest correlations you will find anywhere in the social sciences.

2017 ELA Parcc, proficient vs at risk, public and charter

Now here is the graph for the Math section of the PARCC:

2017 math PARCC proficiency vs at risk, public and charter

This is certainly not an indication that education ‘reform’ in DC has been a success. After more than a decade.

Next time I’ll break this down into charters and public schools. I think you will find that many of the charter schools have populations near the middle of these charts, while the regular DC public schools have populations near the extremes.


Many thanks to Ruth Wattenberg, Mary Levy and Matthew Frumin for showing me where these data files were kept – here and here. Any errors are my own.

 

 

Progress (or not) in DC public schools after democracy was discarded

I continue looking at the (lack of) miraculous progress in education in the District of Columbia, my home town, ever since PERAA was passed and the democratically-elected school board was stripped of all of its power.

Today I am comparing the progress of successive cohorts of white, Hispanic, and black students about 11 years afterwards as shown on the National Assessment of Educational Progress, or NAEP, which is given nation-wide to carefully-selected samples of students. In a few months we will have the 2017 NAEP scores available, which I will add on to these graphs. So far, however, I do not see any evidence that the gap between the reading and math scores for 4th or 7th grade students in DC — which is the largest gap of any city or state measured – has been eliminated.

Look for yourself.

As in my previous posts, I drew a vertical red line in the year 2008 (not a NAEP testing year) because that separates the scores obtained under the ancien regime and the scores under PERAA. The NAEP is not given every single year, and in some years, scores were not published for some groups because of statistical reliability issues. I drew in dotted lines in those cases. All my data is taken from the NCES DATA explorer, and you are free to check it yourself.

Here are my graphs for 4th and 8th grade math. Click on them to see an enlarged version. Do you see any evidence of the educational miracle that is often advertised as happening AFTER mayoral control of schools? Me neither.

 

And here are my graphs for 4th and 8th grade reading:

Again: Do you see any miracle happening after that vertical red line?

You can see my previous posts on this here and here.

Has Mayoral Control In DC Caused A Miracle Regarding Hispanic Students?

I will now post graphs showing how Hispanic students in fourth and eighth grade in DC have scored in math and reading in comparison to other US large cities and the nation’s public schools. As with the previous post, I drew a thick, vertical, red, dotted line showing where the previous, democratically-elected school board was replaced by mayoral control under a law called PERAA.

Here are the ‘average scale scores’ for eighth-grade Hispanic students in math and reading in DC (green), the NAEP sample of Hispanic 8th graders in US large cities (orange), and the NAEP sample of all Hispanic 8th grade students in public schools:

Do you see a miracle that happened to the right of that dotted red line?

I don’t.

What I do see is that in math, the rate of improvement for DC’s Hispanic 8th graders from 2000 to 2007 (under democratic local control of schools) seems considerably faster than the corresponding rate afterwards (under mayoral control).

In reading, it seems like Hispanic 8th grade students in DC were scoring generally higher than their national peers, but after PERAA, they scored lower than their peers. Some miracle.

Let’s look at 4th grade:

Once again, from 2000 through 2007 (under local democratic control of schools), the rate of increase in DC Hispanic students’ scores in both math and reading was considerably higher than after the mayor took over.

Some miracle.

No Signs of Educational Miracle in Washington DC, 10+ Years After Gutting Elected School Board

You may recall that Congress and the DC City Council got rid of local control of the public schools in Washington back in 2007, passing a law whose acronym is PERAA. Michelle Rhee was anointed as the first Chancellor (a brand-new position) in June of that year, only accountable to Mayor Fenty. She told lots of lies and alienated almost the entire non-white population of DC, but she had the full and complete backing of the Washington Post and the rest of the billionaires (Gates, Walton family, Arnold, etc) who think they know exactly how to fix public education.

When Fenty was primaried out of office by a pissed-off electorate before his first term expired, it was clear to most pundits that many of the voters were doing so because they felt Rhee (and by extension Fenty) was so toxic.

It’s now been ten and a half years since that attack on the ‘public’ part of public education in DC. There has been no move to return to an elected school board – an institution which was the first democratically-elected public board in Washington DC in the 20th century. In that time, the charter school enrollment in DC has climbed to nearly equal the enrollment in traditional public schools.

(Not that there is anything miraculous about the charter schools here in general: Over 40 of them have been closed by the PCSB itself either for mismanagement and/or fraud and/or academic failure and/or low enrollment, though 120 remain. That is a huge fraction, and my list of closed schools is about four years out of date! One more charter school just got closed down four days ago, a few months after it was celebrated as a wondrous success by Betsy DeVos, Melania Trump, and the Queen of Jordan. )

But the test scores!

The biggest argument of backers of PERAA and the crazy mix of public and charter schools is basically this: test scores are going up in DC, which shows that what we did worked.

Some of the DC NAEP test scores are in fact going up over time, but:

(1) They were going up, at about the same rate or even higher, BEFORE the gutting of democratic control of schools in 2007 (see graphs below). This means that whatever it is that is slightly raising the average NAEP test scores in DC was in fact going on in DC public schools well before Rhee was appointed;

(2) The gap between scores of white kids and black kids in DC is still the highest anywhere in the nation; and the gap between the top and bottom on the NAEP has gotten much wider since PERAA.

(3) If you look at PERAA’s supposed success in fighting poverty by new educational structures and techniques and all-year-round testing, you will see that there has been no miracle. Among the charter schools AND the public schools, the correlation between poverty markers and test scores is very, very strong, and negative: the higher the percentage of formally denoted ‘at-risk’ students, in general, the lower the school average scores.

Let me show you a few graphs that show point #1.

(I used the NAEP data, since it’s administered nationally, is almost impossible for administrators or teachers to cheat on, and we know that there has been a LOT of cheating on the locally-administered tests like the DC-CAS or PARCC. Not to mention that the local tests keep being changed, drastically. I’m not saying that any of these tests really measure the most important things in a child’s education, but they are the yardstick being wielded by our overlords, so it makes sense to see if their lordships actually measure up. I claim that they don’t.)

My first two graphs show “average scale scores” on the NAEP in reading and math for black eighth-grade DC youngsters over time, starting about 20 years ago and going up to 2015, and compared to all national public school 8th grade black students, and to their AA 8th-grade counterparts in all large US cities. (The 2017 scores should be published this spring).

The DC scores are in green. National Public scores are in blue, and the Large City scores are in orange.

There is a heavy, dotted, vertical, red line separating the period prior to mayoral control and the period afterwards. Look carefully: is there a big difference in trends from, say, 2000-2007 and 2007- 2015?

 

Me, I don’t see one, really, except that in math, for some reason, all three groups saw a small drop in 2015, which makes me suspect some sort of a test glitch. In 8th grade reading, there has been essentially no closing of the gap between 8th grade black students in DC and those elsewhere.

On the other hand, in math at the 8th grade among AA students, that same gap (between DC and elsewhere) has essentially been closed, thanks to steady growth from the year 2000 and 2013. Hmm: PERAA began about half-way through that period, so it didn’t by itself cause that growth!

Now let’s take a look at fourth-grade NAEP scores for the same groups (African-American students in DC, all US Large Cities, and the National Public School sample, over the past couple of decades:

I see two things:

(1) It looks like the gap between black fourth grade students in DC and their national counterparts has essentially closed, thanks to fairly steady progress since the year 2000 (in math) or 2002 (in reading);

(2) On the other hand, you could make the argument that the rate of growth was stronger before PERAA (Mayoral Control of DC Schools) than it was afterwards!

Something to think about on this anniversary of the birth of MLK Jr, and during the 50th anniversary of his murder.

Next I’ll look at the same sort of thing for Hispanic students and white students.

 

Compare ‘Education Reform’ to Ineffective but Profitable Quick-Weight-Loss Schemes

John Viall compares the past 15 years of education ‘reform’ to the past 30 or 40 years of completely counterproductive weight-loss schemes — in both cases, the results are exactly contrary to what they were promised to be. In one case, we can see that America’s obesity rates are some of the worst in the world. In the other, we have certainly not ‘raced to the top’ on TIMMS, PISA, or any other international test, despite all of promises by both the Bush and Obama administrations.

He concludes (I added some color):

“For a sixth time the PISA test was administered in 2015.

Now, 15-year-olds from seventy countries and educational systems took the test. How did U. S. students fare?
The envelope please.
In reading U. S. students scored 497. In other words, after fifteen years of school reform and tens of billions wasted, reading scores were still down seven points.
Fifteen years of listening to blowhard politicians—and U. S. students averaged 470 in math, a depressing 23-point skid.
Surely, all that meddling must have done some good? No. Science scores averaged 496, still down three points.
Fifteen years of diet plans that couldn’t possibly fail and, metaphorically, we were all just a little more fat.
PISA scores had been the foundation on which all school reform was built; and after all these years, America’s 15-year-olds were scoring 33 points worse.
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