Monday, November 20, 2006

D-Ed Reckoning: NYT perplexed over achievement gap

D-Ed Reckoning: NYT perplexed over achievement gap

The edublogosphere is buzzing over the latest article on the achievement gap at the NY Times. So far only D-Ed Reckoning has been brave enough to address the root of the problem.


The achievement gap mirrors the IQ gap. Of IQ gaps we cannot speak amongst polite company, such as those that read still read the NYT.

That's the elephant in the room.
Of course educators can't speak about the IQ gap, because the conversation inevitably leads to the Nature vs. Nurture debate.

Instead, education policy makers have created the "achievement gap" which is basically an arbitrary pass fail line drawn in the sand... draw the line low enough and the gap magically vanishes. Thankfully, we have the NAEP to help keep all the states honest, otherwise states could easily game the system.

Of course, even if the achievement gap is solved, it sill won't fix today's inequities. There are only a finite amount of college positions available, and success is all about higher education today. Even if everyone passed some arbitrary reading and math test, Universities are still only going to take the top performers. Of course, unless the IQ gap has been eliminated, historically low performing groups will still be under represented (especially considering the recent bans on affirmative action).

The inevitable reaction will be for educators to once again raise the standard to be considered "passing" causing another achievement gap. I suppose this might sound a little pessimistic and cynical of me, but hey its Monday morning.

Educators and policy makers need to come up with a realist and pragmatic approach to improving education. Instead of focusing on improving gaps between different groups, educators should be concentrating on ensuring that all students are taught to the highest standards that they are capable of being taught too. While we might never be able to fix the IQ gap in the United States, we need to ensure that any kid with the drive and the capability to excel is provided opportunities to do so. The problem is that there are bright driven poor/minority kids out there that are unable to live up to there full potential because they suffer in an education system that doesn't teach them the basics, doesn't provide scientifically based curriculums, and doesn't provide a safe environment.

Ok... Sermon over. Get back to work.

P.S. Did anyone else catch this in the NY Times article:


Standard & Poors has sifted test data from 16,000 schools in 18 states, identifying 718 schools making significant progress toward the national goal.

They are the classic diamonds in the rough, said Paul Gazzerro, director of analytics at Standard & Poor's School Evaluation Services. But in general, schools are not closing achievement gaps.

One of the exceptions, the unit said, is Hoover Middle School in Lakewood, Calif., a community in Los Angeles County where the aircraft manufacturing industry has been hit by job losses. The school has raised Hispanic scores so much that in the spring of 2005 Hispanic students outperformed whites, said the principal, Michael L. Troyer. He said the progress resulted from focused instruction, frequent diagnostic testing and several tutoring programs.
I suppose the Hispanic - White achievement gap is hard to accurately measure because Hispanic is an ethnic designation, not a racial one. I checked out the scores and even though Hoover Middle appeared to eliminate the one gap, there are still big gaps between other groups.

Hispanics, whites, and Pacific Islanders all appeared to be performing at approximately the same level. AfAmericansricans lag way behind, and Asian and Filipinos's are excelling. Basically, this information tells us nothing without knowing the economic and educational background of all the various groups.

Why is it after all these years, no one can ever point to one school that has eliminated its achievement gap.

My Absence

Sorry for my week off blogging.

Last weekend we discovered my 16 year old niece was "cutting". We confronted her about it which led to some major drama and a trip to the emergency room.

I spent last week dealing with councelors, pyschiatrists, and insurance companies.

A warning to parents of adolescents. Cutting is real, please be on the look out for the signs. It is a sign of much bigger problems.

The Joplin Globe, Joplin, MO - Edgar Simpson: Changing how we teach math

The Joplin Globe, Joplin, MO - Edgar Simpson: Changing how we teach math

Mr Simpson has been drinking from the educrat Kool-Aid. Some background.

What Lankford, now in his eighth year as superintendent of Webb City Schools, did instinctively has become a focal debate in public education. There is an ongoing shift from teaching math by rote, as in mesmerizing tables and formulas, to trying to impart concepts.

This change, controversial and by no means settled, spilled over into tears from an educator during an emotion-filled meeting last week in Seneca. The district introduced a reformed math program into its elementary schools in 2003.

The issue goes by a variety of names, "reform math," "Chicago Math," "Fuzzy Math" and its commercial moniker, "Everyday Math." The concept was conceived and developed in the early 1980s by a team of academics at the University of Chicago and is now peddled by a division of McGraw-Hill.

Mr. Simpson though not explicitly stating so, obviously is pulling for the so called "reform math". He goes to offer this argument.

When Chicago University researchers dug into the problem, they concluded the fundamental issue was the way students were being taught - by memorizing facts and formulas, rather than being forced to understand and apply concepts. The difference is an auto mechanic knowing how to change the spark plugs in an engine, and knowing what the spark plugs do and what happens when they don't work.
Lets take a moment to think about this. How many people out there would take your car to a mechanic who doesn't know how to change spark clubs. I don't care how much he can spout off about the theory of internal combustion engines, if he can't turn a wrench then I am taking my car elsewhere.

The other problem with this analogy is that the purpose of math instruction in school, is not to teach students to be theoretical mathematicians, but to be mathematically literate. A more apt comparison, using the spark plug analogy above, is that we are teaching our students to be competent car owners that can perform routine maintenance of their car. What we as car operators need to know is how to change tires if we have a flat, change spark plugs and oil during routine intervals, and know when to take the car into a professional.

At the end Mr. Simpson says:

She notes that the way public education had been teaching mathematics was not keeping Seneca, Missouri or the nation competitive with the rest of the world. Doing nothing is not an option.

She's right. The core reason we want to be competitive, and we should not try to pretend it is anything else, is jobs. Many employers, primarily manufacturing and technology, say some workers coming to them from public high schools and even colleges are not good at math. They know how to add, subtract, multiply and divide, but not how to think on the fly, to solve problems that require visualizing a logical sequence and then making changes to achieve the desired end.
Once again, Mr. Simpson is missing the point. It does no good to be able to "think on the fly" if you can't perform the basic math operations. California learned its lessons the hard way, but it looks like Seneca is going to have to repeat the same mistakes all over again.

Saturday, November 11, 2006

MULTIPLICATION TRICKS - Danger!

Joy in the Morning: MULTIPLICATION TRICKS

Loni a homeschooling mom of nine kids is going down a treacherous path.

We bought some cheap multiplication math books, and I taped a sheet of paper at the front of each, with tricks, poems, and cartoons of ways to get them to remember these!

I found most of these at Multiplication.Com. One of my favorites is learning the 9's table:

The NINE multiplication fastest is the one less = nine method
Subtract one from the number you are multiplying by. 9 x 5 (One less than 5 is 4)
The first number in the answer is 4. The two numbers that make up the answer will equal 9. So 4 + __ = 9 (5)
The last number in the answer is 5

9 x 5 = 45
One less than 5 is 4 (45)
The answer adds up to nine. 4 + 5 =9
Tricks like this frustrate me to no end. The intentions are well meaning, but the results can be horrible.

My 6th grader was able to get through 3rd grade by using multiplication table tricks like this, but the problem is that she relied to much on them. Multiplication tables should be learned to mastery, and here is why:

Multi-digit multiplication: When performing problems such as 456 x 35, knowing your multiplication facts to mastery reduces your reliance on working memory, which in turn allows you to use your working memory to perform the carrying and adding functions in the standard algorithms. The more things you have to juggle in your working memory, the more likely you are to forget a step and end up with a mistake in a several step problem.

Division: Not only should you know that 6 x 7 = 42, but if given the number 42, you should be able to recall that its the same as "6 x 7". Unfortunately the 9's trick that is used above doesn't work backwards. If given the problem 54 divided by 9, you can not easily reverse the procedure. The problem becomes even worse if you have a problem like 56 divided by 9.

Factoring: Factoring is a key component to algebra. Factoring relies on being able to quickly recognizing multiplication facts and breaking the number down into smaller products. Once again the tricks do no work backwards.

If Loni really wants to help her kids then she will skip the shortcuts and drill her kids over and over till they can spit the facts out like they can their names.

At our house, we use flash cards. Every child in our house is tested on their multiplication tables at least once a day. We also practice doing reverse multiplication tables. The kids are shown the answer, and have to spit out all the multiplication facts that make up that number.

Last year our 6th grader had to get tutoring for her math. Since then I have re-taught her tables, and on her last interim report in math, she was getting a 91.

Don't be fooled people, some knowledge needs to be committed to memory, and hard work is required.

Update: Rightwingprof has corrected me and pointed out that the trick does work backwards... but a child would have to know all the multiples of 9's to know when to use it, and if they did... then they probably wouldn't need to.

Saturday, November 04, 2006

Quirks

At my 1st graders school, they have a cute little tradition. On fridays, over the loudspeaker, they play the "Friday" song and everyone sings along. It goes like this.

Friday... Friday...

Friday is my favorite day...

Ok... its very simple, but its the cutest thing in the world to see all the Kindergarden and 1st graders sing it at the top of their lungs.

At my 6th graders middle school, friday was "Serendipity Day". At noon time any kid that was passing all his/her classes got to play games, every one else had extra tutoring in their weakess subjects. My daughter tells me its a big deal.

I have heard of Honors day's where kids on the Honor Roll get a field trip or a pizza party, but I liked the idea that they gave a reward to all the other hard working kids who can't quite make the Honor Roll.

Friday, November 03, 2006

Income doesn't explain testing gap

News-Record.com - Greensboro, North Carolina: News - Education: Income doesn't explain testing gap

GREENSBORO — Guilford County's poorest white students on average scored higher on the SAT this year than the wealthiest black students, school board members learned Monday.

Deena Hayes, a member of the Guilford County Board of Education, said the data confirms her belief that the achievement gap in the district is not solely about economics.

A study conducted by the school district showed that white students coming from a household earning less than $20,000 a year scored about 40 points higher on the math and reading sections of the SAT than black students whose households earned more than $70,000 a year.
I have to admit that this surprised me. I am well aware of the persistance of the achievement gap and the arguments over nurture and nature, but this is really depressing. I had expected that achievement would be more tied to SES than to race.

I am sure that many people will blame it on racism, but I am sceptical that this alone could account for everything. Unfortunately I think that the key to improving black academic performance is going to creating a widespread culture of educational achievement in black culture. This is going to be a slow process that can probably only be fixed over generations.

Thursday, November 02, 2006

A Symbol of hope vs the Hawthorne Effect

Via Joanne Jacobs: Philadelphia Inquirer 10/30/2006 Symbol of hope:

An elementary school in the heart of North Philadelphia has grabbed the national spotlight for dramatically improving its test scores.

The initial jumps were so large the Philadelphia school district verified them by having some students retake the tests.

Over four years, the number of fifth graders scoring at the highest level - advanced - soared from 1.2 percent in math and reading to 42.1 percent in math and 29.8 percent in reading.
I double checked their results and overall they are amazing, but I did notice one thing.

In reading their results improved dramatically from a 12.2% proficiency rate in 2002 to a 72.5% in 2005, but all of the sudden in 2006 they dropped back down to a 47.5%. The same pattern is reflected in math scores.

I have noted this trend in several benchmark schools that I have looked up over my brief blogging career. Could it be that the initial rises in performance are a result of the "Hawthorne effect", and that once a system becomes established there is a leveling out of performance? Unfortunately the article doesn't mention the drop off at all. Perhaps its a statistical blip, maybe there were some changes not mentioned in the article, but its something that I might keep an eye out for in the future.

Update: I found a similar but not quite as dramatic drop off in scores at Amistad Academy of Achievement First.

2006 scores weren't available, but there was a drop off in 2005 scores from 2004 after several years of improvements.

Are there any studies that look at whether this is a common phenomenon?

Towson angles to draw males - baltimoresun.com

Towson angles to draw males - baltimoresun.com

The university's decision to tinker with its admission standards to help men comes amid growing national concern about declining enrollment of males, who make up only 42 percent of the U.S. college population. They are just 40 percent of Towson's student body.

The low grades/high scores formula allows the school to draw from a group that is mostly men, without actually using gender as a criterion. "We made a determination two years ago, because this was a group with a large number of males, that it would help us to continue to bring males into the university," said Deborah Leather, Towson's associate provost.
Ok... I should be against this, but I was one of those H.S. graudates that would of benefited from this.

I am no lawyer, but as long as the admission criteria is not based on race, sex, national origin, bla, bla, bla... I see no problem.

It is my understanding that some schools use a reverse policy and base their admissions on GPA and don't even consider SAT scores.

"Pee-Chee" Folder


So tonight I am watching VH1 Hits of the 80's count down and I had a total flashback to High School (Class of '88). Back then, before fuzzy math, new math, and new-new math everyone had "Pee-Chee" folders. My gf has no idea what I am talking about, but it was truly part of my schooling experience. Alas, a quick google told me that "Pee_Chee" folders are no longer being made. Too bad, I would love to get my hands on some.

Tuesday, October 31, 2006

The Power of Demographics

The Enquirer - Waldorf School teaching by arts:

While Ohio requires that kindergartners in public school be "reading ready" by first grade, Waldorf lets youngsters learn to read at their own pace, even if it takes until third grade.

...

"School is not so much about learning factual information," she said. "It's about how you figure out how to learn and make good decisions, how you conceptualize and imagine."
School Demographics

White, non-Hispanic 87%
Black, non-Hispanic 10%
Asian or Pacific Islander 3%
Rich white people trip me out.

Sunday, October 29, 2006

Jim Rex, superintendent of education

Brad Warthen's Blog: Jim Rex, superintendent of education

I listened to the debate. I have read their platforms. I have made my decision.

UC would admit 'broader swath' of students under proposal

MercuryNews.com 10/27/2006 UC would admit 'broader swath' of students under proposal

Colleges are constantly tweaking their entrant requirements to broaden diversity. At first they tried this:

Signed into law by Gov. Pat Brown in 1960, California's master plan of college eligibility guarantees a spot at UC for the top 12.5 percent of the state's high school graduates, who are ranked by test scores and GPAs earned in UC-approved college prep courses.
But that only made things worse:

But that approach has widened the ``achievement gap'' in the increasingly diverse state. Access to UC for many racial and ethnic minorities and for students at ``disadvantaged high schools,'' as defined by socioeconomics or geography, is consistently low.
Now they want to try this:

The recommendation means that a student with a C+ (2.75 GPA) average, who was likely to be shut out under the old system, would now be eligible to have their application reviewed -- giving them the opportunity to list leadership positions, jobs or ways in which they have triumphed over adversity. Low SAT scores, while still considered, would not close the door..

Of course it will be hard for the poor rich and middleclass kids to show that they triumphed over adversity when they had the misfortune to be born to parents with a college degree.

Sooner or later someone is going to propose to simply make college entrance a lottery system, which is the only way they will ensure balanced racial and geographic diversity. Of course this would only ensure that their entering Freshman class is balanced. In conjunction with the lottery, they would probably need to eliminate other hinderances to diversity such as grades. To account for the dismal graduation rates of minorities, they should eliminate the outdated requirement for a high school diploma. Instead just open up the lottery system to the entire population of California.

Of course instead, the UC system could throw their considerable influence around to help fix the current K-12 education system which disproportionately fails disadvantaged populations.

Its ironic that the same systems that decry the number of students who need remedial classes in math and english also continually try and find ways to lower the bar. Sometimes it seems like the whole education system has become a vicious circle.

Saturday, October 28, 2006

Its Over!

Soccer season is finally over so we can return to our normal after school routine, and I can resume my extra-curricular tutoring. We also got our first report cards so I also know more specifically where I need to direct my efforts.

1st Grader - she got all proficients on her report card, but we disagree. We are not at all happy with her reading skills and are going to concentrate on phonics. We don't yet have a organized method of doing this, but are looking into several programs. Right now we just attack each word, one at a time.

3rd Grade Girl - Her only C was in reading. She is already getting after school tutoring and her reading has made some great strides. We are going to have her preform more out loud reading to us so we can monitor her progress. We are also going to work on her multiplication times tables. She is pretty good in math, but we want her to make sure that she is ahead of the power curve. We believe that multiplication facts are the key to almost everything at this level of math.

3rd Grade Boy - His lowest grade was in health which makes it hard for us to help him, since we have he hardly has any health homework. We will be more proactive about the subject. One thing that he could really use is some organizations skills... he really is a scatter brain.

6th Grade Girl - Our hardest worker. Math was her worst grade, but we have pegged it to a lack of mastery of the multiplication tables. We are continuing to work with her on this, because it will help her division and factoring skills. In reading she is way above grade level and is quite the book worm.

10th Grader -What a challenge she is. We recently pulled her off the cheerleading squad, because she 1. got caught smoking as school and 2. slacked off slightly in her English class. She is perhaps the most frustrating since her standardized scores are WAY above average. She, like me as a teenager, has a lazy streak. I wish I had parents like me when I was that age, because my life would of turned out a lot different. As long as we stay on her she will excel, but if we blink... then its back to mediocre. Hopefully, with several more years of nagging, she will internalize good work habits.

After spending two to three hours a night at the soccer fields, it is such a relief to have time at home for the little things. We were eating take out almost every night, but now we have to get back into the routine of cooking.

Closing the Gap, Child by Child - washingtonpost.com

Closing the Gap, Child by Child - washingtonpost.com

In 2004, Gates, the principal, was stunned by scores showing that just two-fifths of his black students had passed the state reading test, compared with three-fourths of his white students.

Even before that year, the school had sought to raise minority student performance. (Scores among Hispanics at the school and others in the county were also a problem.) Hollin Meadows offered after-school tutoring and recruited volunteers to mentor selected students. Gates said the school had energetic teachers. But it wasn't enough.

In retrospect, Gates blamed a tendency to "teach to the middle." He said lessons too often were aimed toward the majority and were not tailored enough to individual students. So teachers generally would march through the curriculum on the assumption that students would either learn the material or eventually catch up.

For most children, that approach worked. But in an increasingly diverse school, some fell through the cracks. "We had kids coming in with different needs, and we didn't say, 'We have to meet you where you are at,' " Gates said.
Why did it take NCLB to force educators to acknowledge what school reformists have been telling them for decades?

Ladson-Billings cited an elementary school in Madison where black students trailed white students. She found that some basic lessons -- such as learning sounds that correspond with letters -- went untaught.

"What teachers said to us is, 'We don't actually teach that,' " Ladson-Billings said. "Most middle-class kids were learning that at home."


Well duh! I know that many teachers and educators have their own kids. Is there some sort of disconnect between what they observe at home and what they do in the classrooms?

Educator's need to come over to my house someday and see what I have to supplement. I spend my afternoons teaching multiplication tables, factoring, algebra, phonics, history, and just about every other subject that should be taught at home. Somehow I manage to teach all these subjects to my five school age kids is a very limited amount of time. Is it too much to ask the teachers to do it at school?

Next leader of L.A. school district vows to remove 'bad teachers' - Los Angeles Times

Next leader of L.A. school district vows to remove 'bad teachers' - Los Angeles Times

"It's called the right teacher in the right classroom in the right school…. Some people do not belong in the classroom, OK? They don't belong there. We're gonna get them out. The question is how is the system going to react to the way we get them out."


I am assuming that all you education junkies are keeping up with the soap opera that is the LAUSD.

I have to wonder if Mr. Brewer (the new LAUSD school chief and former military office) is going to be more than the LAUSD Board of Education bargained for when they hired him.

Now if Major Villaraigosa can managed to shirk the United Teacher's Los Angeles union's influence, perhaps the LAUSD will have a chance.

Charters hurting IPS | IndyStar.com

White: Charters hurting IPS IndyStar.com

Got to love this story; charter schools doing exactly what they are intended to do... forcing a the Indianapolis Public Schools to improve, look outside the box, and compete.

A break in launching new charter schools, White said, would give IPS time to stabilize its enrollment and draw students to new academies and magnet schools. Those are among a wave of reforms and initiatives launched by White since he became superintendent in 2005.

Those improvements are coming, charter school advocates said, only because of the competition from charter schools and the alternatives they offer to parents.

"The very reason IPS is doing what they're doing is in response to these new choices at charter schools," said Kevin Teasley, who oversees two Indianapolis charter schools as president of the GEO Foundation. "I just hate to limit those choices. It's shortsighted and doesn't take into account the forces of the market."


Now the IPS is asking for a time out, a delay in opening more charter schools to help them fully implement their reforms. It's not like they have the last 100 years to reform is it now? Its hard for me to feel sorry for the IPS when there are successful school models out there (thanks to Charter Schools) that they can adopt to improve their system. It may be painful, but I have no doubt that they will find their way.

Friday, October 27, 2006

Sara Comes Around

As I noted a few weeks ago, Sara from the Quick and the Ed seemed to be against single sex education:

Its been fascinating--and disappointing--to me to see how conservatives, who are generally skeptical of conferring victim status, and critical of untested new educational ideas, seem to embrace both so uncritically when the "victims" are boys and the education "innovations" include single sex schools and implementing gender stereotypes in the classroom.

And here:

Educators, parents, and policymakers should therefore be skeptical of simplistic proposals aimed at fixing the boy crisis, such as expanding single-sex schooling, implementing gender-based instructional techniques, or funding new federal programs aimed at improving boys’ achievement.

But in her latest post she says:

...believe in giving children and their families more educational choices, and I think the bar for excluding an entire category of choices (such as single-sex schools) ought to be quite high, and that critics of single-sex education haven't met it yet.
Its what I have been saying for a while:

Any single sex education program in the country should be optional and benefit both genders.
Of course she doesn't come around completely... she is still skeptical about the application of gender differences to education, of course I am guessing that she doesn't have children or any long term experience in a classroom... but we hold out hope. The first step is always the hardest.

Thursday, October 26, 2006

Educating School Teachers

Via Edspresso, I just read this report on Educating School Teachers.

Frankly, it is too depressing to quote, but can be summed up as saying that our current system of educating teachers leaves a lot to be desired.

I have seriously been considering a second career in education after I retire from the Air Force in a few years, but reading this report certainly makes it a tough decision.

-- deleted paragraph --

While Teachers unions fight against merit pay, I myself would prefer it. Of course I have never been accused of being modest, and have a competitive nature that would love the challenge of proving myself in a way that would allow me to see concrete results for any effort or skill I put into a job. I wonder how many other potential teachers there are out there like me; intelligent, hardworking, and looking for a challenge, but staying away from a job that doesn't provide any concrete feedback or award for accomplishments.

Tuesday, October 24, 2006

Homework assignment stolen from Instructivist.


Saturday, October 21, 2006

Carolina School for Inquiry - Takedown

Carolina School for Inquiry

Lets take a closer look at this new charter school, the Carolina School for Inquiry. First of all, here is a bit of history from this article in The State.

When a group of Columbia parents considered expanding a popular private preschool and kindergarten program, they lit on the idea of a charter school. At first, they considered a partnership between the nonprofit Harmony School and a newly formed charter school.

"We realized you can't have a private board interfere with a public board and vice versa," said Jeannie Eidson, a Harmony parent and Carolina School planning committee member.

Plus, parents don't want anything to endanger Harmony's stellar program, Mandrell said. So the parents began planning a charter school separate from Harmony but based on its beliefs.
So many mistakes begin with the best of intentions. Poor rich people… a misguided set of parents who loved their private “inquiry learning” preschool and kindergarten, decided to create their own charter school based on the principle. I am sure they were a bit upset to learn that as a charter school they had to open up enrollment to the surrounding poor minority community. Of course I have no doubt they convinced themselves that “inquiry” based learning will work for everyone, and not just their high SES kids.

Of course, the private Harmony School knew that it might not be a good idea. From another article in The State:

Eventually, though, it became clear that yielding control of the charter school to a parent and employee-run governing board, which is required by law, was a bit risky for the intimate Harmony community, said Deborah Holmes, school director. "We don't know what conflicts could possibly happen," she said.
Gee whiz, what possible conflict could happen when you try and use an unstructured curriculum with poor urban kids… perhaps anarchy?

But not to be deterred, the Carolina School for Inquiry pressed on and opened its doors this year.

Now let’s see what sort curriculum they use at this new school. You guys are lucky that I love you, but I had to read through this drivel to extract some key points.

Unfortunately, our traditional educational system has worked in a way that discourages the natural process of inquiry. Students become less prone to ask questions as they move through the grade levels. In traditional schools, students learn not to ask too many questions, instead to listen and repeat the expected answers.
Straight away we can see where this is heading, anyone want to bet that they eventually say something to the effect that facts are over rated because they can change, and its more important to know how to learn.

Memorizing facts and information is not the most important skill in today's world. Facts change, and information is readily available -- what's needed is an understanding of how to get and make sense of the mass of data.
Damn I am good, so basically inquiry learning is constructivism on steroids.

Unfortunately, the website doesn’t let us know what reading/ELA curriculum they are going to use, but we can make an educated guess based on their math curriculum, Investigations in Number, Data, and Space.

Among their many hair brained idea’s.

They choose from a variety of concrete materials and appropriate technology, including
calculators, as a natural part of their everyday mathematical work.
That’s it; forget the multiplication tables, because they can just use calculators.

They find more than one solution to many of the problems they work on
Someone explain to them that while there may be more than one “method” for solving a problem, there is only one correct “solution” to any given math problem (K-12 math that is), and that some methods are more effective than others.

They express their mathematical thinking through drawing, writing, and talking
Of course they do, because you know actually doing math in math class is sooooo overrated.

They move around the classroom as they explore the mathematics in their environment and talk with their peers
Wouldn’t want the kids to get bored sitting at their desks learning.

In Investigations, homework is a vehicle for connecting school mathematics with students’ everyday lives. Homework is an extension of classroom work. Students are asked to work on problems that extend and solidify their mathematical understanding. Sometimes homework offers review and practice of work done in class, sometimes preparation for upcoming activities, and sometimes numerical practice that revisits work from earlier units.
The real secret to Investigations… send home homework so that the parents can teach their kids what they should of learned at school. Great for high SES kids, but a disaster for low SES working parents.

I think Mathematically Correct best sum’s it up:

There is nothing to recommend about this program. The use of this program in our public schools is a strong argument for vouchers.
Unfortunately, since this school just opened, we won’t get any test results for at least a year, but somehow I have a feeling that it won’t be pretty. Unfortunately, charter schools like this will only serve to give successful charter schools a bad reputation. Perhaps the kindest thing I can say about this charter school is that its an option and not the only choice that parents have.