Teaching teachers

# How do you get students fired up about fractions? Reinvent math class.

PHOTO: Alex Zimmerman
Math Lab co-founder Peter Cipparone walks teachers through the morning's lesson before students arrive.

Earlier this week, Peter Cipparone was ending a meticulously planned lesson when the student he’d called to the board suddenly slipped. Kris, a rising fifth grader, was, Cipparone later said, a “plant” — selected because Cipparone felt confident he could clearly explain the fractions problem at hand to the rest of the class.

But when Kris got to the board, his understanding seemed to vanish. He was supposed to be placing the fraction five-thirds on a number line, but instead he marked off five and one-third, almost four points too far.

With just a few minutes left in class, held at the High School for Fashion Industries in Manhattan, Cipparone had to make a split-second decision: Should he offer the correct answer, or let students leave for the day without a clear resolution?

It was a tough call, but Cipparone knew he had backup. Unlike a traditional lesson, where educators teach in isolation, in this case, Cipparone was surrounded by 21 other teachers who would pore over every element of his teaching once the class ended.

The lesson is part of a New York City program, now in its second year, that is tasked with teaching two groups of people simultaneously: A group of rising fifth-graders like Kris, who spend two hours each day learning about fractions — and a group of educators from across the city who have signed up to improve their own teaching.

The program, known as the New York City Math Lab, gives educators an opportunity to perform the surprisingly rare work of watching each other teach. It also lets them hone an approach encouraged by the Common Core learning standards that many of the participating teachers said they have struggled to perfect: Getting students to learn math not just by practicing problems, but also by having conversations.

“With rules-based teaching, if you don’t understand why you’re doing what you’re doing, then that rule only applies to that very specific type of problem,” explains Kim Van Duzer, a teacher at Brooklyn’s P.S. 29 who co-founded the lab program along with Cipparone and Kate Abell, who have both taught in New York City schools. “If you have an underlying understanding of operations and the number system, you can build on that to answer other sorts of questions — that’s what reasoning is.”

***

For a week during the summer, Van Duzer, Cipparone and Abell host roughly 25 educators with a range of teaching experience who watch the trio perform a sequence of lessons on fractions, sitting on the sidelines of a large classroom as the class works. Then, when the students leave, returning to a summer program offered by the Hudson Guild, the teachers talk about what they saw.

The Math Lab’s emphasis on learning math by talking and thinking about it is clear almost as soon as the students enter the room. A list of the class’ “math community agreements,” posted on a board, reminds students to “add onto each other’s thinking” and “analyze and observe each other’s work.”

PHOTO: Elizabeth Green
Teachers observe students taking in Tuesday’s lesson.

To help students internalize that philosophy, Van Duzer led an activity called “convincing a skeptic,” where students were asked to fold pieces of green paper into squares one quarter the size of the original and then convince their partner that the new shape was, in fact, one-fourth of the original.

Some students struggled to articulate why the squares they folded were one-fourth of the whole piece of paper. “Sometimes my partner asked questions I didn’t understand,” one student admitted. But encouraging students to challenge each other’s ideas paid off later that morning.

After introducing the idea of representing fractions on a number line, Cipparone asked students to begin thinking about whether eight-sixths is greater than one. Nine and 10-year-old skeptical voices quickly emerged.

One student declared that eight-sixths is less than one, only to be told by someone sitting nearby that he had the numerator and denominator confused. The ensuing debate ended when the first student admitted his mistake and leapt at the chance to offer a correct answer in his own words.

Many of the teacher observers said the lab was the first time they were able to watch another educator teach consecutive lessons. Watching others teach, they said, helped them become more confident in their own ability to guide students through conversations about fractions.

“You can read a [lesson] plan, but they do so much more that’s not in the plan — how to elicit students’ thinking, or how to get them to respond to each other,” said Julie Heller, a teacher at Brooklyn’s P.S. 29, where Van Duzer also teaches.

Laura Burns, a 20-year veteran teacher from P.S. 73 who also attended last year’s lab, said the experience gave her ideas about how to tweak her instruction, including posting a schedule outlining the elements of the day’s lesson so students have a sense of where they are headed.

“I can just watch and see everything – the language, the materials, the way they’ve laid stuff out. They’ve agonized over every decision,” she said.

***

As teachers reflected on Tuesday’s lesson, a debate of their own emerged. They began wondering about how Cipparone handled what the group would begin calling “Kris’ problem” — the moment that morning when Kris misplaced five-thirds on the number line and Cipparone had to make a split-second decision about whether to correct him before the students left for the day.

Deirdre Flood, a teacher at Brooklyn’s P.S. 11, said it could make sense to end the lesson ambiguously if “every single [student] made a decision before they left, so they were thinking about it on their way out.”

Another teacher wondered whether withholding the correct answer might leave Kris feeling tricked when he inevitably discovered his answer had been wrong all along. Meanwhile, Abell, one of the Math Lab’s facilitators, suggested a different approach altogether.

“It feels like a terrible thing to not let him finish his idea,” she said. “The question for the community is, ‘What is Kris thinking?’ Because he’s thinking something that makes sense.” Instead of debating whether to correct him or not, she argued, teachers should encourage other students to explain why he came to equate five-thirds for five and a third — because he mistakenly considered five as the whole, rather than the number of parts.

For his part, Cipparone never pointed out Kris’ error that morning. He threw the question back to the class for a quick debate. And even though some students argued their classmate was wrong, Cipparone stood back and facilitated.

“Sometimes you have questions and you don’t get the answers all at once,” he said, just moments before students filed out. “If you’re not convinced, that’s OK!”

School choice

# Secret CPS report spotlights big vacancies, lopsided options for students

The school district says the report will help inform how it invests in and engages with communities. Communities groups worry the document will be used to justify more school closings, turnarounds and charters.

An unreleased report by a school choice group backed by the business community paints in stark detail what many Chicagoans have known for years: that top academic schools are clustered in wealthier neighborhoods, and that fewer black and Latino students have access to those schools.

The report highlights startling figures: About 27 percent of black students are in the district’s lowest-rated schools, compared with 8 percent of Latino students and 3 percent of whites. It also says that while Chicago Public Schools has more than 150,000 unfilled seats, 40 percent, or 60,000 of them, are at top-ranked schools. That surplus will grow as enrollment, which has been plummeting for years, is projected to decline further by 5.1 percent over the next three years. What that means is the cash-strapped district is moving toward having nearly one extra seat for every two of its students.

The document effectively shows that, in many areas of the city, students are skipping out on nearby options, with less than half of district students attending their designated neighborhood schools.

In a city still reeling from the largest mass school closure in U.S. history, this report could lay groundwork for another round of  difficult decisions.

The “Annual Regional Analysis” report, compiled by the group Kids First Chicago on CPS’ behalf, has been circulating among select community groups but has not been made public. It comes on the heels of a report showing students’ high school preferences vary with family income level. Students from low-income neighborhoods submit more applications than students from wealthier ones and apply in greater numbers for the district’s charter high schools.

The group behind the latest report has had many iterations: Kids First is a new name, but its origins date back to 2004, when it started as the charter fundraising group Renaissance Schools Fund. That was during the Renaissance 2010 effort, which seeded 100 new schools across the city, including many charters. The group changed its name to New Schools Chicago in 2011 and again rebranded this year as Kids First, with a greater focus on parent engagement and policy advocacy.

The report has caused a stir among some community groups who’ve seen it. Because the school district has used enrollment figures to justify closing schools, some people are worried it could be used to propose more closings, turnarounds, and charter schools.

“To me this is the new reason [for school closings],” said Carolina Gaeta, co-director of community group Blocks Together, which supports neighborhood schools. “Before it was academics, then it was utilization, now it’s going to be access and equity. Numbers can be used any way.”

In a statement on the report, Chicago Teachers Union Spokeswoman Christine Geovanis blasted Mayor Rahm Emanuel’s administration for policies that she alleged “undermine enrollment at neighborhood schools,” such as the proliferation of charter schools, school budget cuts, and building new schools over the objection of community members.

Reached by phone Thursday, Kids First CEO Daniel Anello confirmed that his organization helped put the report together, but declined to comment on its contents, deferring to the district. CPS Spokeswoman Emily Bolton acknowledged the report’s existence in a statement emailed to Chalkbeat Chicago that said the school district “is having conversations with communities to get input and inform decisions” about where to place particular academic programs. The statement said CPS is still in the process of drafting a final version of the document, but gave no timetable. Mayor Rahm Emanuel’s office didn’t grant requests for interviews about the Annual Regional Analysis.

Below is a preview of the report provided to Chalkbeat Chicago.

Data released this week from the district’s GoCPS universal high school application clearly shows what academic programs are most in demand: selective enrollment programs that require children to test in;  arts programs; and career and technical education offerings, or CTE.

The Kids First’s analysis puts those findings into context, however, by detailing how supply is geographically uneven, especially when it comes to arts. Maps in the report divide the city into regions defined by the city’s planning department and show how highly-desirable arts programs are not spread equally throughout the city, and are most concentrated along the northern lakefront and downtown.

PHOTO: Sam Park
This map shows the number of fine & performing arts program seats available per 100 elementary school students in each planning area.

Worse, four regions offer 10 or fewer arts seats per 100 students, including the Bronzeville/South Lakefront region that includes neighborhoods such as South Shore, Woodlawn, Kenwood and Hyde Park. They are also scarce in the West Side region, which includes Austin, North Lawndale, and Humboldt Park and in the Northwest neighborhoods of Belmont Cragin, Dunning, and Portage Park.

The report also shows an imbalance in the number of rigorous International Baccalaureate programs.

This map shows the number of IB program seats per 100 students available to elementary and high school students in each planning area.

The highest number of IB seats are in the wealthy, predominately white Lincoln Park area. In contrast, there are far fewer IB seats in predominantly black communities such as  Englewood and Auburn Gresham, Ashburn and in the predominantly Latino Back of the Yards.

When it comes to selective-enrollment elementary school programs such as gifted centers and classical schools, which require students to pass entrance exams, options tend to be concentrated, too, with fewer choices on the South and West sides of the city. This map shows where selective enrollment high school options are most prevalent:

PHOTO: Sam Park
This map shows the number of selective enrollment high school seats available per 100 students in the city’s planning regions.

STEM programs are more evenly distributed across Chicago than both IB and selective enrollment schools, yet whole swaths of the city lack them, especially on the South Side, including the Greater Stony Island. As the other maps show, that region lacks most of the high-demand academic programs the district has to offer.

PHOTO: Sam Park
This map shows the number of STEM program seats available per 100 elementary school students.

Racial disparities in school quality

The analysis also shows disparities in quality of schools, not just variety.

At CPS, 65 percent of students districtwide are enrolled at Level 1-plus or Level 1-rated schools. But only 45 percent of black students and 72 percent of Latino students are in those top-rated seats, compared with 91 percent of white students.

The disparities are even more severe given that the school district is mostly Latino and black, with fewer than one in 10 students identified as white.

A page from a presentation of the Annual Regional Analysis showed to select community groups.

In the Greater Lincoln Park region, 100 percent of elementary schools have one of the top two ratings — the highest concentration of them in the city.  The highest concentration of top-rated high school seats, 91 percent, is in the Central Area, which includes Downtown and the South Loop.

The lowest concentration of top-rated elementary seats, 35 percent, is in the Near West Side region, and the lowest concentration of high school seats, 14 percent, is in the West Side region.

Long commutes from some neighborhoods

The number of students choosing schools outside their neighborhood boundaries has increased in recent years.

But the report shows that school choice varies by race: 44 percent of black students attend their neighborhood elementary school, compared with 67 percent of Latino students, 69 percent of white students, and 66 percent of Asian students. For high schoolers, only 14 percent of black students attend their neighborhood school, compared with 28 percent of Asians, 30 percent of Latinos, and 32 percent of whites.

More students enrolling outside their neighborhood attendance boundaries means more and more students have longer commutes, but how far they travel depends on their address.

Again, this is an area where the Greater Stony Island area stands out.

A graphic from the Annual Regional Analysis executive report that shows how far elementary school students in each of the city’s 16 planning regions travel from their homes to school. The data shows that students on the South and West Sides tend to have longer commutes.

The average distance traveled for elementary school students is 1.5 miles — but K-8 students in Greater Stony Island travel an average of 2.6 miles. The average distance to class for high schoolers citywide is 2.6 miles, but students in the Greater Stony Island region travel an average of 5 miles, about twice the city average.

A graphic from the Annual Regional Analysis executive report that shows how far high school students in each of the city’s 16 planning regions travel from their homes to school. The data shows that students on the South and West Sides tend to have longer commutes.

Looking forward

The introduction to the Annual Regional Analysis describes it as “a common fact base” to understand the school landscape. It clearly states the intent of the report is to assist with district planning, not to provide recommendations.

It still bothers Wendy Katten, founder of Raise Your Hand, who has seen the report and said it tells little about how kids are actually learning at schools.

“It sounds like some data a company would use to reduce inventory at a manufacturing plant,” she said.

Gaete with Blocks Together said the numbers in the report are also missing important context about how the proliferation of charter schools, a lack of transparent and equitable planning, and a lack of support for neighborhood schools in recent decades has exacerbated school quality disparities across race and neighborhoods in Chicago, one of the nation’s most diverse but segregated cities.

It’s unclear when the final study will be published, or how exactly the school district will use its contents to inform its decisions and conversations with communities.

But an event posting on the website for Forefront, a membership association for “nonprofits, grantmakers, public agencies, advisors, and our allies,” mentions a briefing for the report on Oct. 10.

Kids First Chicago CEO Dan Anello and CPS Director of Strategy Sadie Stockdale Jefferson will share the report there, according to the website.

Q and A

# In a wide-ranging interview, Carranza takes issue with admissions to New York City’s gifted programs

PHOTO: Christina Veiga
Since becoming schools chancellor, Richard Carranza has questioned city admissions methods that critics say exacerbate segregation. Here, he speaks to a crowd at a town hall about school diversity.

Ever since the city launched a push to scrap the entrance exam for its vaunted specialized high schools, Chancellor Richard Carranza has made it clear that he doesn’t believe a single test should be used to make school admissions decisions.

In an exclusive back-to-school interview with Chalkbeat on Friday, he said that also goes for the city’s gifted and talented programs.

Just like specialized high schools, gifted programs are deeply segregated. Only 22 percent of students in gifted programs are black or Hispanic, compared with 70 percent citywide. And just like specialized high schools, admission to most of the city’s gifted programs hinges solely on the results of an exam.

“I think that’s not a good idea,” Carranza said. “When you look at the disparities in representation across this system, you have to ask the question, ‘Do we have the right way of assessing and making decisions about students?’”

Most students enter gifted programs when they’re in kindergarten, so they are only 4 years old when they take the test — an approach that Carranza questioned.

“There is no body of knowledge that I know of that has pointed to the fact that you can give a test to a 4-year-old or a 5-year-old and determine if they’re gifted,” he said. “Those tests — and it’s pretty clear — are more a measure of the privilege of a child’s home than true giftedness.”

A full transcript of our interview with the chancellor is coming soon. We’ll have interesting insights about Carranza’s relationship with his predecessor, what he thinks about the city’s Renewal turnaround program now that he’s had time to get to know it better, and the problems he’s trying to solve with a recent bureaucratic overhaul. Here are some highlights to hold you over until then.

### Why few schools may get shuttered under Carranza’s leadership — even though he’s ‘not scared’ of closures

In one of his very first moves as chancellor, Carranza spared a storied Harlem school that was slated for closure. Since then, he has shaken up the school’s leadership, initiated new partnerships, and brought in a different support structure.

It’s just one example, but it could be a hint of what’s to come during Carranza’s tenure.

The school that won the reprieve is a part of the mayor’s high profile Renewal program, which aims to boost student learning by offering social services and a longer school day. The program has shown mixed results, at best, and many Renewal schools have been shuttered after failing to make progress.

Carranza indicated there could be more closures ahead: “Let me be clear: I’m not scared of closing a school if it’s not serving the needs of the students,” he said.

But he added: “My experience — nine times out of 10 — has been that we haven’t done all we can do to give schools that are struggling to improve the right conditions, the right resources and the right support to actually improve.”

### Did Carranza push City Hall to do something about segregation at specialized high schools?

City Hall has indicated that its plans to overhaul admissions at the city’s vaunted specialized high schools had been in the works for some time. Indeed, de Blasio promised to do something about the stark underrepresentation of black and Hispanic students at the schools during his first run for mayor.

Carranza wouldn’t reveal much about what happened behind the scenes in the lead-up to the city’s June announcement that officials would lobby to scrap the exam that serves as the sole entrance criteria for specialized high schools. The chancellor said he brought up the issue in his talks with the mayor before coming onboard, and said his boss shared the same vision.

“I can tell you the mayor is passionate about making sure that our schools are just as diverse as our city,” Carranza said.

Asked whether he personally played a role in the decision, Carranza would only say that the mayor “knew what he was getting,” when he was tapped to be chancellor.

He later added: “One of the things that I appreciate is, that what the mayor hired was an educator to be the chancellor, and he lets me do my job.”

Alex Zimmerman contributed reporting.