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California high school junior Allyson Lng completes Algebra homework online. Kiana Liu
EdSource
How one California school district is moving forward with math in the pandemic
Sydney Johnson
December 11, 2020
In a school year when in-person instruction is already limited, California math teachers are making up for lost time on the fly.
Since school campuses closed in March due to the pandemic, education
experts have sounded the alarm that certain groups, such as low-income
and special education students, could fall further behind academically
than their peers. And now test scores show that students are struggling
in math more during the pandemic than in previous years.
But exactly how school districts have planned to mitigate learning gaps
looks different depending on the district and even classrooms within a
school.
One of California’s largest school districts, San Diego Unified, is
pushing ahead with grade-level math content and addressing questions
and gaps in learning as they come up during lessons. That contrasts
with past approaches to so-called learning loss — when students lose
academic skills and knowledge over a period of time — that have
involved testing students at the beginning of the year to determine
where they need extra help and offer remediation based on the results.
“Over the summer, we kept hearing ‘Shouldn’t we have a diagnostic exam
because they missed so much?’” said Aly Martinez, the instructional
coordinator of mathematics for San Diego Unified.
While there was no question that students missed critical class time,
she and others had major qualms with the diagnostic approach. One of
the biggest concerns was putting students in a position where they feel
inept at the start of an already chaotic school year.
“The diagnostic test is an emotional task. It’s designed to find where
students don’t know the answer,” Martinez said. “My third-grade son had
to take a test at the end of the school year in distance learning, and
it took nearly five days, and he cried every day. For me, it was a
culminating moment about how we are influencing and shaping their math
identity when we start by saying, ‘Look at all the things you don’t
know and you missed.’”
This fall, the district is encouraging teachers to keep on pace with
grade-level content in math and address questions from students as they
come up in a method referred to as “just-in-time teaching.” For
example, while teaching multiplying and dividing fractions in sixth
grade, some students might need a refresher on fractions from fourth
grade. Instead of reviewing fourth-grade fraction lessons for a few
weeks at the start of the term, the idea is to incorporate a quick
lesson or activity that offered some review of the material needed to
master the grade-level standard.
San Diego Unified’s approach stems from guidance shared by education
groups, such as the National Council of Teachers of Mathematics, which
this summer released a toolkit with guidance on how schools should
treat math education as the pandemic continues. Among the top
suggestions was that schools should avoid front-loading the fall term
with testing and review, and instead move straight into grade-level
content and regularly check for gaps that need to be addressed.
“We acknowledge that students have unfinished learning. That’s always
been the case,” said Patrick Callahan, a mathematician and consultant
who has been working with San Diego Unified on its plan for distance
learning. “And, yes, it might have been amplified by school closures.
But the answer was not to hold kids back and delay access.”
To develop the plan for this fall, Callahan and Martinez looked to
research that found diagnostic testing and individual remediation
didn’t lead to significant student growth for New Orleans schools
following Hurricane Katrina. They also pointed to studies that have
shown holding students back in courses such as Algebra 1 rarely leaded
to improve outcomes the second time they took the course.
“We wanted to ensure students had more opportunities to work together
and with each other. If you give a diagnostic, you identify different
gaps for different kids,” he said. “Diagnostics delay access to
grade-level math and discourage students working together
collaboratively.”
Over the summer, the district-level math leadership team at San Diego
Unified created a set of academic priorities for each grade level to
adapt to distance learning. That included a suite of review activities
based on common problem areas that teachers can easily turn to if
students show signs of struggle or are missing a skill necessary for
the lesson.
“We created just-in-time resources for every single unit so teachers
don’t have to go searching for it at that moment,” Martinez said. “We
did the work to anticipate popular unfinished learning opportunities.”
Diagnostic exams can be useful measures to gauge what students know.
Many districts require these kinds of assessments at the beginning of
and throughout the year to track progress. Plus, some regression or
unfinished learning is typical of any school year, especially after
students return to school from an extended break.
But in the era of distance learning, when students have limited and
unequal amounts of time with teachers, even larger gaps in learning
have been anticipated since schools closed last spring.
Early data is showing that those fears were valid — in math at least.
Compared with 2019, about twice the number of students nationwide had a
significant decline in math scores, falling at least 20 percentile
points from last spring to this fall, test results from the
Portland-based nonprofit NWEA showed. The exam tested 4.4 million
students in grades 3 through 8 nationwide. Reading scores on the test
have remained about the same since last year, however.
Molly Keimach, a ninth-grade math teacher at Kearny High School in San
Diego Unified, said she “definitely felt like this year started off
with more of a struggle than in past years content-wise.” But she isn’t
sure whether that’s been because students fell behind last spring, or
simply because of the difficulties of keeping students engaged in an
online environment this fall
“At the beginning of the school year, almost a third of my
ninth-graders were failing. It’s not uncommon to have a high failure
rate for that class, but this was higher than I had ever experienced,”
Keimach said, referring to the Integrated 1 math course she teaches.
The model San Diego Unified is pushing is familiar to Keimach. In any
given year, many of her students come to high school from middle school
with learning gaps. She previously had students take pre-tests and
other assessments, but after a few years began detecting patterns in
the areas that students needed review on, like the distributive
property, an algebra concept that many students struggle with, she said.
Now, she incorporates review activities into her lessons based on what
students have needed help with before, plus what she finds they need
help with from their current work, and skips the diagnostic.
“Just-in-time teaching and learning is essential during distance
learning,” Keimach said. “We have half of the time normally and even in
normal years there isn’t enough. My bigger concern is not if they
learned this before, but are they engaging in online learning now?
That’s the biggest struggle.”
Experts like National Council of Teachers of Mathematics President
Trena Wilkerson fear that testing and remediation could lead to
segregating students into different groups based on their perceived
abilities. Some studies and reports have shown that tracking in
mathematics can lead to segregation among students along racial and
economic lines.
While students can also be separated by skill level in English and
science, math is one of the few subjects where students may be assigned
a course track as early as fifth grade that continues through middle
high school, which in turn can affect their eligibility for college.
“You don’t want to fall into separating students and get into
tracking,” Wilkerson said. “If we start separating them, we are
facilitating inequities when really students just didn’t have the same
opportunity.”
Sara Feiteria, a sixth-grade math and science teacher at Farb Middle
School in San Diego Unified, didn’t notice an increase in learning gaps
this fall compared with any previous year. But the added challenges of
online learning — like not being able to see students who have their
cameras off, for example — has made it difficult to maintain her usual
teaching strategies.
The district’s pre-made resources have helped her manage class time,
she said. And more importantly, they have freed up time for her to
focus on building trust with her students in a strange new learning
environment.
“The priority is the emotional wellbeing of these kids right now,” she
said. “Before even thinking about problem-solving or critical thinking,
you need to think about these human beings who need relationships. No
priority is going to be met before that.”
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