How I Teach

It’s not just about getting the right answer: How a fifth-grade teacher pushes her students in math class

PHOTO: Christina Veiga
Nicole Lent is a math coach at P.S. 294, which has departmentalized the subject.

At P.S. 294 in the Bronx, math is often a matter of debate.

In Nicole Lent’s fifth-grade class, groups of students take turns explaining how they solved the math problem of the day, respectfully disagreeing or enthusiastically lending support to their classmates’ arguments.

Lent floats around the room, asking probing questions but stopping short of revealing the right answer — opting to let students figure it out together instead.

“I always thought you had to teach the easiest way to just get an answer, and that is not the case,” she said. “I wasn’t giving them the opportunity to think critically about the problem and explore it in different ways.”

Lent is one of a team of teachers at P.S. 294, The Walton Avenue School, who focus only on math instruction. The city Department of Education has encouraged elementary schools across the city to take the same approach, called “departmentalization,” as part of its Algebra for All initiative. By placing the most capable teachers in charge of math instruction in fifth grade, the city hopes all students will be able to pass algebra by their first year of high school.

P.S. 294 has embraced the shift, starting departmentalized math instruction even earlier — in third grade. That’s in addition to its discussion-based approach. Lent has had a role of ushering both changes into the classroom.

She began using math debates and discussions after visiting another school that used the same model, and feeling struck by what she saw.

“I just remember going to those classrooms and thinking it was the coolest thing to see kids having a discussion,” about math. “I was just like, ‘How do I get my kids to do that?’”

The answer came through professional training offered by the city, along with picking and choosing the teaching resources that worked best for her needs. Soon, Lent’s new method spread throughout the school.

Now, half her time is spent in the classroom, and the rest of her day is spent working with her fellow math teachers as an instructional coach. She visits classrooms and regularly welcomes teachers into her own, all in an effort to provide constructive feedback, troubleshoot lessons and perfect new teaching strategies.

“It’s a different type of rewarding experience than working with children, but you see the same kind of growth,” she said. “We’re always working together to drive our instruction.”

This interview has been condensed and lightly edited.

Why did you become a teacher?

I never saw myself at a desk job where every day was the same. The great thing about teaching is that every day is different and truly rewarding, as you get to see your students grow and show progress over an extended period of time.

What does your classroom look like?

The students are the focal point of the room. You won’t find a teacher’s desk in my room. Around the perimeter are bookshelves containing student supplies … and “anchor charts” for students to reference … One example of an anchor chart would be to have the steps to adding fractions with unlike denominators, with the example of each step written out.

Students are permitted to get up at any time to access the supplies they need without asking for permission. We have set the expectation that they are in charge of their own learning and can self-assess when they need a resource to help them persevere through math tasks.

You had to learn a whole new way to teach math. What was the hardest thing about making that shift?

The hardest thing for me when making the shift from a teacher-led classroom to an approach that’s based on student inquiry and discussion was a shift in teacher mindset so as not to associate student conversation with off-task behavior.

What advice would you give to school leaders or teachers who might be considering departmentalizing math instruction?

I would advise them to start small and pilot departmentalizing on one grade first to see if it’s something they want to invest in doing at additional grade levels. We did this at P.S. 294, when I taught fourth grade last year, and it was very successful. We were able to work out any challenges and adjust what was necessary because we started small. At P.S. 294, we are now departmentalized on grades 3-5 for both [English Language Arts] and math. Teachers now receive the support they need and are focused on the content area they teach and have become true experts in their practices.

Fill in the blank. I couldn’t teach without my _____________.

I couldn’t teach without my computer because technology now plays a crucial role in education. Without my computer I wouldn’t be able to play instructional videos for my visual learners or have students come up to the Promethean board (an electronic whiteboard) and manipulate math content, which plays a pivotal role in assisting them in understanding math content.

What is one of your favorite lessons to teach? How did you come up with the idea?

One of my favorite lessons to teach this year was on division of fractions. I always thought we had to teach it using the strategy I learned as a child known as “keep, change, flip.” That’s a strategy used to solve an expression such as 1/4 divided by 3. You would keep the fraction, change the sign from division to multiplication, and flip the whole number from 3 to a fraction of 1/3. The quotient is 1/12.

I didn’t know exactly why this strategy works, I just knew it did.

After attending one of the Algebra for All professional developments last summer, I learned from a colleague at another school how to use visual models: We draw three “wholes” and divide each whole into fourths. The quotient is one piece out of the twelve total pieces you have from all three models (wholes you drew). We ask the students to think about the question: “How many fourths fit in three?” When it came time for me to teach them to my students this year, I knew exactly how to show them to divide fractions by whole numbers and by fractions in a purposeful and meaningful way.

How do you respond when a student doesn’t understand your lesson?

After a quick check for understanding that takes place after my mini-lesson, students who don’t understand my lesson meet in a small group with me on the carpet, while the rest of the students engage in differentiated math tasks on their level independently at their seats. During this time, I reteach students using a different method than the first time. This includes the use of manipulatives, instructional videos, and whiteboard work. Once I re-teach the concept using a different strategy, I conduct another quick check to see if they mastered the concept, and if so, they then go off independently to try some math tasks on their own.

How do you see your role as an instructional coach? What do you think is the most effective way to help other teachers improve their practice?

My role as an instructional coach is to build capacity across the school in the area of math instruction. Ultimately this means pushing practices down: taking the rigor and instructional approaches used at the 3-5 level and adjusting them to be used at the K-2 level according to the students’ individual needs.

The most effective way to help other teachers improve their practice is to hold debrief sessions following classroom visits, co-teaching sessions, or modeling lessons in their classroom, and providing actionable feedback that they can implement immediately.

What’s your go-to trick to re-engage a student who has lost focus?

Oftentimes, it takes some time to realize a student is lost and you don’t know exactly where they began to get lost. To avoid guessing and confusing them some more by repeating the last thing I said, I will restart and go step by step from the beginning while having that student assist me. Engaging the student along with the teacher has been the best strategy because you know they are listening and following along, because they are personally and directly involved with the teacher.

Your school has a common planning period. Has that helped change the way you teach?

Common planning periods bring teachers together to learn from one another and collaborate on projects.

During a recent common planning session, we had a consultant from Silicon Valley come and teach us about the difference between re-teaching vs. re-engagement lessons. Re-teaching lessons teach content again to a group of students who didn’t master it the first time. Re-engagement lessons allow students to work with a task to build mathematical ideas.

He showed us the data surrounding re-teaching vs. re-engagement lessons, which indicated that re-engagement lessons are what build students’ critical thinking skills. I realized that instead of having re-teach lessons built into my math block each day, that it would be much more beneficial to my students to participate in re-engagement tasks more often, as research had shown that that’s what truly pushes their levels.

Tell us about a memorable time — good or bad — when contact with a student’s family changed your perspective or approach.

A few years back, one of my students who had always been a Level 4 student [top-scoring on state, city and school assessments] started to act out in negative ways, not complete her homework, and be disruptive during lessons. After several warnings, I decided to call home to speak to the parent to notify the parent as to what was going on. As it turned out, this student’s father had recently moved out of state as the parents were getting divorced. Her mother said she was not taking it well and was acting the same way at home.

I asked the student to stay with me during her recess and spoke to her about what was going on at home. After some time, she finally opened up to me and let me know about her parent’s divorce.

We shared our own personal stories, and I was able to connect with my student on a much deeper level, and let her know that I am here for her any times she needs an ear to listen. From that day on, the student confided in me as she needed to and improved her effort and behavior in the classroom.

What’s the best advice you ever received?

A colleague told me that, “As educators, we learn best from our students.” I thought that had been the silliest thing as I had considered myself the head of the classroom who was supposed to know everything. As I began to dive deeper into my career, I couldn’t agree with her more.

My students have taught me that teaching is not black and white. There is no perfect science to it. Everything we do as educators is based off of what our students know and do, resulting in continuous reflections on our own practices. What needs to be modified? What needs to be revisited the following day? What shouldn’t be done anymore? What can I do further to push or help my students? What worked and what didn’t work? [These] are things we reflect about regularly. My students are the reason my toolbox of promising practices is so strong.

To read more stories in the How I Teach series, click here. 

it's official

An integration plan is approved for Upper West Side and Harlem middle schools

PHOTO: Christina Veiga
Middle schools in District 3, including Wadleigh Secondary School for the Performing Visual Arts, pictured above, will give struggling students priority in admission, the local Community Education Council announced.

The New York City education department on Wednesday approved a plan to integrate middle schools in Manhattan’s District 3, the culmination of years of advocacy amid vocal pushback against admissions changes aimed at creating more economically and academically diverse schools.

The plan marks the city’s first attempt under Mayor Bill de Blasio to integrate middle schools across an entire district, an effort that garnered national attention after the schools Chancellor, Richard Carranza, tweeted a blunt criticism of parents who protested the proposal.

Announcing approval of the plan, Carranza said in a statement that he hopes District 3 will serve as a model for other communities aiming for more diversity.

“Students benefit from integrated schools, and I applaud the District 3 community on taking this step to integrate their middle schools,” he said.

The new admissions system builds on growing momentum to unravel deep segregation in the country’s largest school system. A few weeks ago, de Blasio announced a contentious plan to overhaul admissions at the city’s elite specialized high schools. And later on Wednesday,  a set of recommendations is expected to be unveiled for integrating middle schools in Brooklyn’s District 15.

Under the plan approved in District 3, students who are poor, struggle on state tests, and earn low report card grades will be given admissions priority for a quarter of seats at the district’s middle schools. Of those seats, 10 percent would go to students who struggle the most, and 15 percent would go to the next-neediest group.

Education officials had considered weighing a number of different criteria to determine which students would get priority. They settled on a mix indicators including student poverty and academic achievement because it “identifies students most likely to suffer the consequences of long-term segregation in District 3,” according to a statement released by the Community Education Council, a group of parent volunteers who have supported the district’s integration efforts. 

Since academic performance is often linked to race and class, the new admissions system could integrate schools on a number of different measures. But in aiming for academic diversity explicitly, the district is pushing for a unique and controversial change. In District 3 and across New York City, high-performing students are often concentrated in a tiny subset of schools.

Parents who worried their children would be elbowed out of the most selective schools pushed hard against the plan, including a woman featured on a viral NY1 video saying that the proposal tells hard-working students “life sucks.”  

“I think it was definitely a much harder concept for parents to understand,” said Kristen Berger, a parent on the local Community Education Council who has helped lead the integration effort.  “We have a lot of talk about meritocracy… anything that challenges it, challenges a very basic concept parents have.”

With those concerns in mind, the district says it will boost training training for school staff in strategies to help struggling students. The district will also provide anti-bias training for all middle school staff and teachers will also focus on culturally relevant education practices, which ensure that all students are reflected in what is taught in classrooms.

Despite the backlash, the proposal would actually have a modest impact on many district schools, according to city projections. Among the schools expected to change the most is the Computer School, which would see a 16-point increase in the number of needy students who are offered admission. Still, only 28 percent of students would be poor and have low test scores and report card grades.  

Schools that currently serve the greatest number of struggling students aren’t expected to change much, if at all, according to projections. Many of those schools are in Harlem, prompting education council members to push the education department to do more for those schools.

The council pledged to take on the work itself. Parents want to weigh whether new school options are needed, and “address long-standing challenges such as disparities in resource allocation,” the council’s statement said.

“We need a Harlem vision. That’s really important and that’s key to the next steps,” Berger said.

Spread the wealth

A few Colorado charter schools won ‘the lottery’ in this year’s round of school construction grants

Samantha Belmontes, 7, tries to keep a foam ball rolling in the center of her tennis racket for as long as she can in a class at Ricardo Flores Magón Academy in 2011. (Photo By Helen H. Richardson/The Denver Post via Getty Images)

Five Colorado charter schools are among the nearly three dozen schools getting new roofs, HVAC systems, or even entire new buildings courtesy of state land proceeds, lottery funds, and marijuana tax revenue.

The State Board of Education this month approved $275 million in grants through the Building Excellent Schools Today or BEST program, with schools and districts contributing an additional $172 million for $447 million in total construction projects.

This is the largest award the state has ever given, a 60 percent increase from the nearly $172 million given out last year. It’s also likely to be the largest award for some time to come. With this grant cycle, the board that oversees the BEST program used up its existing ability to issue debt, similar to the limit on a credit card, and next year’s grants will be limited to cash awards of roughly $85 million.

Charter schools traditionally have not done well in the competition for BEST grant money – a sore point for advocates because the schools can’t bond off property tax revenue like school districts can –  but this year, with more to spend overall, the committee that distributes the money also gave more of it to charter schools.

In a typical year, the grant program funds about half of the requests that come in, after prioritizing them based on a number of criteria, including health and safety concerns. This year, almost 70 percent of requests were funded.

Jeremy Meyer, a spokesperson for Colorado Department of Education, said officials in the capital construction program also made a deliberate effort to reach out to charter schools and explain the requirements of the grant program. Some of the successful applicants had applied before and were able to make refinements to this year’s applications. Representatives of charter schools, meanwhile, said this iteration of the BEST board seems more receptive to their needs.

“A lot of it was a function of them having more resources to distribute,” said Dan Schaller of the Colorado League of Charter Schools. “It’s a very positive development, but it’s important to keep it in context that over the last five years, charter schools have received in aggregate less than 1 percent of the funding.”

About 13 percent of Colorado students attend charter schools, which are publicly funded but independently run and exempt from some rules.

Legislation passed in the 2018 session increases the amount of marijuana tax money going to the grant program to 90 percent of all recreational marijuana excise tax revenue. Before, it had been capped at $40 million a year, even as the state took in far more pot tax money than was originally projected. Of this money, 12.5 percent will be set aside for charter school facilities needs.

However, state lawmakers balked at allowing the BEST program to borrow off of marijuana revenue, given the uncertain regulatory future under President Donald Trump and Attorney General Jeff Sessions, who is hostile to legal marijuana.

Without the ability to issue new debt, future awards are more likely to go to roof replacements and new heating and cooling systems than to new buildings, like the new elementary school approved in Adams 14 or the new buildings for Ricardo Flores Magón Academy in northwest Denver and Swallows Charter Academy in Pueblo.

Having the state fund a new building for a charter school is “like winning the lottery,” said Jane Ellis, who works with charters to find low-cost financing for their facilities.

This was Flores Magón Academy’s third attempt at getting a BEST grant. The state-authorized charter school serves roughly 300 students from kindergarten through eighth grade, most of them from low-income families. The school sits in a pocket of unincorporated Adams County at West 53rd Avenue and Lowell Boulevard, near Regis University, and most of the school’s families live in Denver.

In 2011, the school bought the Berkeley Gardens Elementary building, which had been shuttered for a decade. The school was built in 1906 and has several additions.

“Each add-on is very unique and reflective of its decade and comes with its own delightful challenges,” said Kaye Taavialma, a former executive director of the school who is working as a consultant on the building project. “We have to be very cognizant and aware of any precipitation.”

The roof leaks, the pipes leak, there aren’t enough bathrooms, and there’s asbestos in the walls and in the glue that holds down multiple layers of carpet. Portions of the school have been blocked off due to mold problems. The office is in the center of the building, without a clear line of sight on the entrances, creating security concerns. During one storm, a window blew out in a classroom. Fortunately, no students were injured, Taavialma said.

The school got $15.5 million from the BEST program and through a waiver only has to contribute $818,000 to the total project cost, rather than the $3.3 million that would normally be required under a state matching formula. The new building will be built on the site of the play fields and should open to students during the 2020-21 school year.

“For our school, this is tremendous because coming up with $3 million would have been darn near impossible,” Taavialma said. “As we see charters continue to proliferate and they’re being asked to move into buildings that either weren’t constructed to be school buildings, or like we experienced, a school building that has been sitting vacant for a long time, I hope this is a trend that continues.”

You can see the full list of grant winners here.