Tag: math

  • Math can be a path to success after prison

    Math can be a path to success after prison

    Hancy Maxis spent 17 years incarcerated in New York prisons. He knew that he needed to have a plan for when he got out.

    “Once I am back in New York City, once I am back in the economy, how will I be marketable?” he said. “For me, math was that pathway.”

    In 2015, Maxis completed a bachelor’s degree in math through the Bard Prison Initiative, an accredited college-in-prison program. He wrote his senior project about how to use game theory to advance health care equity, after observing the disjointed care his mom received when she was diagnosed with breast cancer. (She’s now recovered.)

    When he was released in 2018, Maxis immediately applied for a master’s program at Columbia University’s Mailman School of Public Health. He graduated and now works as the assistant director of operations at Montefiore Medical Center in the Bronx. He helped guide the hospital’s response to Covid.

    Maxis is one of many people I’ve spoken to in recent years while reporting on the role that learning math can play in the lives of those who are incarcerated. Math literacy often contributes to economic success: A 2021 study of more than 5,500 adults found that participants made $4,062 more per year for each correct answer on an eight-question math test.

    While there don’t appear to be any studies specifically on the effect of math education for people in prison, a pile of research shows that prison education programs lower recidivism rates among participants and increase their chances of employment after they’re released.

    Hancy Maxis spent 17 years incarcerated in New York prisons. He now works as the assistant director of operations at Montefiore Medical Center in the Bronx. Credit: Yunuen Bonaparte for The Hechinger Report

    Plus, math — and education in general — can be empowering. A 2022 study found that women in prison education programs reported higher self-esteem, a greater sense of belonging and more hope for the future than women who had never been incarcerated and had not completed post-secondary education.

    Yet many people who enter prison have limited math skills and have had poor relationships with math in school. More than half (52 percent) of those incarcerated in U.S. prisons lack basic numeracy skills, such as the ability to do multiplication with larger numbers, long division or interpret simple graphs, according to the most recent numbers from the National Center for Educational Statistics. The absence of these basic skills is even more pronounced among Black and Hispanic people in prison, who make up more than half of those incarcerated in federal prisons.

    In my reporting, I discovered that there are few programs offering math instruction in prison, and those that do exist typically include few participants. Bard’s highly competitive program, for example, is supported primarily through private donations, and is limited to seven of New York’s 42 prisons. The recent expansion of federal Pell Grants to individuals who are incarcerated presents an opportunity for more people in prison to get these basic skills and better their chances for employment after release.

    Alyssa Knight, executive director of the Freedom Education Project Puget Sound, which she co-founded while incarcerated, said that for years, educational opportunities in prison were created primarily by people who were incarcerated, who wrote to professors and educators to ask if they might send materials or teach inside the prison. But public recognition of the value of prison education, including math, is rising, and the Pell Grant expansion and state-level legislation have made it easier for colleges to set up programs for people serving time. Now, Knight said, “Colleges are seeking prisons.”

    Related: Interested in innovations in higher education? Subscribe to our free biweekly higher education newsletter.

    Jeffrey Abramowitz understands firsthand how math can help someone after prison. After completing a five-year stint in a federal prison, his first post-prison job was teaching math to adults who were preparing to take the GED exam.

    Fast forward nearly a decade, and Abramowitz is now the CEO of The Petey Greene Program, an organization that provides one-on-one tutoring, educational supports and programs in reading, writing and now math, to help people in prison and who have left prison receive the necessary education requirements for a high school diploma, college acceptance or career credentials.

    The average Petey Greene student’s math skills are at a fourth- or fifth-grade level, according to Abramowitz, which is in line with the average for “justice-impacted” learners; the students tend to struggle with basic math such as addition and multiplication.

    “You can’t be successful within most industries without being able to read, write and do basic math,” Abramowitz said. “We’re starting to see more blended programs that help people find a career pathway when they come home — and the center of all this is math and reading.”

    Abramowitz and his team noticed this lack of math skills particularly among students  in vocational training programs, such as carpentry, heating and cooling and commercial driving. To qualify to work in these fields, these students often need to pass a licensing test, requiring math and reading knowledge.

    The nonprofit offers “integrated education training” to help  students learn the relevant math for their professions. For instance, a carpentry teacher will teach students how to use a saw in or near a classroom where a math teacher explains fractions and how they relate to the measurements needed to cut a piece of wood.

    “They may be able to do the task fine, but they can’t pass the test because they don’t know the math,” Abramowitz said.

    Math helped Paul Morton after he left prison, he told me. When he began his 10.5 years in prison, he only could do GED-level math. After coming across an introductory physics book in the third year of his time in prison, he realized he didn’t have the math skills needed for the science described in it.

    He asked his family to send him math textbooks and, over the seven years until his release, taught himself algebra and calculus.

    The recent expansion of federal Pell Grants to individuals who are incarcerated presents an opportunity for more people in prison to get these basic skills and better their chances for employment after release. Credit: Helen H. Richardson/The Denver Post via Getty Images

    “I relentlessly spent six hours on one problem one day,” he said. “I was determined to do it, to get it right.”

    I met Morton through the organization the Prison Mathematics Project, which helped him develop his math knowledge inside prison by connecting him with an outside mathematician. After his release from a New York prison in 2023, he moved to Rochester, New York, and is hoping to take the actuarial exam, which requires a lot of math. He continues to study differential equations on his own.

    Related: It used to be a notoriously violent prison. Now it’s home to a first-of-its-kind higher education program

    The Prison Mathematics Project delivers math materials and programs to people in prison, and connects them with mathematicians as mentors. (It also brings math professors, educators and enthusiasts to meet program participants through “Pi Day” events; I attended one such event in 2023 when I produced a podcast episode about the program, and the organization paid for my travel and accommodations.)

    The organization was started in 2015 by Christopher Havens, who was then incarcerated at Washington State Penitentiary in Walla Walla. Havens’ interest in math puzzles, and then in algebra, calculus and other areas of mathematics, was ignited early in his 25-year- term when a prison volunteer slid some sudoku puzzles under his door.

    “I had noticed all these changes happening inside of me,” Havens told me. “My whole life, I was searching for that beauty through drugs and social acceptance … When I found real beauty [in math], it got me to practice introspection.”

    As he fell in love with math, he started corresponding with mathematicians to help him solve problems, and talking to other men at the prison to get them interested too. He created a network of math resources for people in prisons, which became the Prison Mathematics Project.

    The group’s website says it helps people in prison use math to help with “rebuilding their lives both during and after their incarceration.”

    Related: How Danielle Metz got an education after incarceration

    But Ben Jeffers, its executive director, has noticed that the message doesn’t connect with everyone in prison. Among the 299 Prison Mathematics Project participants on whom the program has data, the majority — 56 percent — are white, he told me, while 25 percent are Black, 10 percent are Hispanic, 2 percent are Asian and 6 percent are another race or identity. Ninety-three percent of project participants are male.

    Yet just 30 percent of the U.S. prison population is white, while 35 percent of those incarcerated are Black, 31 percent are Hispanic and 4 percent are of other races, according to the United State Sentencing Commission. (The racial makeup of the program’s 18 female participants at women’s facilities is much more in line with that of the prison population at large.)

    “[It’s] the same issues that you have like in any classroom in higher education,” said Jeffers, who is finishing his master’s in math in Italy. “At the university level and beyond, every single class is majority white male.”

    He noted that anxiety about math tends to be more acute among women and people of any gender who are Black, Hispanic, or from other underrepresented groups, and may keep them from signing up for the program. 

    Sherry Smith understands that kind of anxiety. She didn’t even want to step foot into a math class. When she arrived at Southern Maine Women’s Reentry Center in December 2021, she was 51, had left high school when she was 16, and had only attended two weeks of a ninth grade math class.

    “I was embarrassed that I had dropped out,” she said. “I hated to disclose that to people.”

    Related: ‘Revolutionary’ housing: How colleges aim to support a growing number of formerly incarcerated students 

    Smith decided to enroll in the prison’s GED program because she could do the classes one-on-one with a friendly and patient teacher. “It was my time,” she said. “Nobody else was listening, I could ask any question I needed.”

    In just five months, Smith completed her GED math class. She said she cried on her last day. Since 2022, she’s been pursuing an associate’s degree in human services — from prison — through a remote program with Washington County Community College.

    In Washington, Prison Mathematics Project founder Havens is finishing his sentence and continuing to study math. (Havens has been granted a clemency hearing and may be released as early as this year.) Since 2020, he has published four academic papers: three in math and one in sociology. He works remotely from prison as a staff research associate in cryptography at the University of California, Los Angeles, and wrote a math textbook about continued fractions.

    Havens is still involved in the Prison Mathematics Project, but handed leadership of the program over to Jeffers in October 2023. Now run from outside the prison, it is easier for the program to bring resources and mentorship to incarcerated students.

    “For 25 years of my life, I can learn something that I wouldn’t have the opportunity to learn in any other circumstances,” Havens said. “So I decided that I would, for the rest of my life, study mathematics.”

    Contact editor Caroline Preston at 212-870-8965 or [email protected].

    This story about math in prison was produced by The Hechinger Report, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for the Hechinger higher education newsletter.

    The Hechinger Report provides in-depth, fact-based, unbiased reporting on education that is free to all readers. But that doesn’t mean it’s free to produce. Our work keeps educators and the public informed about pressing issues at schools and on campuses throughout the country. We tell the whole story, even when the details are inconvenient. Help us keep doing that.

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  • These teens can do incredible math in their heads but fail in a classroom

    These teens can do incredible math in their heads but fail in a classroom

    When I was 12, my family lived adjacent to a small farm. Though I was not old enough to work, the farm’s owner, Mr. Hall, hired me to man his roadside stand on weekends. Mr. Hall had one rule: no calculators. Technology wasn’t his vibe. 

    Math was my strong suit in school, but I struggled to tally the sums in my head. I weighed odd amounts of tomatoes, zucchini and peppers on a scale and frantically scribbled calculations on a notepad. When it got busy, customers lined up waiting for me to multiply and add. I’m sure I mischarged them.

    I was thinking about my old job as I read a quirky math study published this month in the journal Nature. Nobel Prize winning economists Abhijit Banerjee and Esther Duflo, a husband and wife research team at MIT, documented how teenage street sellers who were excellent at mental arithmetic weren’t good at rudimentary classroom math. Meanwhile, strong math students their same age couldn’t calculate nearly as well as impoverished street sellers.

    “When you spend a lot of time in India, what is striking is that these market kids seem to be able to count very well,” said Duflo, whose primary work in India involves alleviating poverty and raising the educational achievement of poor children.  “But they are really not able to go from street math to formal math and vice versa.”

    Related: Our free weekly newsletter alerts you to what research says about schools and classrooms.

    In a series of experiments, Duflo’s field staff in India pretended to be ordinary shoppers and purposely bought unusual quantities of items from more than 1,400 child street sellers in Delhi and Kolkata. A purchase might be 800 grams of potatoes at 20 rupees per kilogram and 1.4 kilograms of onions at 15 rupees per kilogram. Most of the child sellers quoted the correct price of 37 rupees and gave the correct change from a 200 rupee note without using a calculator or pencil and paper. The odd quantities were to make sure the children hadn’t simply memorized the price of common purchases. They were actually making calculations. 

    However, these same children, the majority of whom were 14 or 15 years old, struggled to solve much simpler school math problems, such as basic division. (After making the purchases, the undercover shoppers revealed their identities and asked the sellers to participate in the study and complete a set of abstract math exercises.)

    The market sellers had some formal education. Most were attending school part time, or had previously been in school for years.

    Duflo doesn’t know how the young street sellers learned to calculate so quickly in their heads. That would take a longer anthropological study to observe them over time. But Duflo was able to glean some of their strategies, such as rounding. For example, instead of multiplying 490 by 20, the street sellers might multiply 500 by 20 and then remove 10 of the 20s, or 200. Schoolchildren, by contrast, are prone to making lengthy pencil and paper calculations using an algorithm for multiplication. They often don’t see a more efficient way to solve a problem.

    Lessons from this research on the other side of the world might be relevant here in the United States. Some cognitive psychologists theorize that learning math in a real-world context can help children absorb abstract math and apply it in different situations. However, this Indian study shows that this type of knowledge transfer probably won’t happen automatically or easily for most students. Educators need to figure out how to better leverage the math skills that students already have, Duflo said. Easier said than done, I suspect.  

    Related: Do math drills help children learn?

    Duflo says her study is not an argument for either applied or abstract math.  “It would be a mistake to conclude that we should switch to doing only concrete problems because we also see that kids who are extremely good at concrete problems are unable to solve an abstract problem,” she said. “And in life, at least in school life, you’re going to need both.” Many of the market children ultimately drop out of school altogether.

    Back at my neighborhood farmstand, I remember how I magically got the hang of it and rarely needed pencil and paper after a few months. Sadly, the Hall farm is no longer there for the town’s children to practice mental math. It’s now been replaced by a suburban subdivision of fancy houses. 

    Contact staff writer Jill Barshay at 212-678-3595 or [email protected].

    This story about applied math was written by Jill Barshay and produced by The Hechinger Report, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for Proof Points and other Hechinger newsletters.

    The Hechinger Report provides in-depth, fact-based, unbiased reporting on education that is free to all readers. But that doesn’t mean it’s free to produce. Our work keeps educators and the public informed about pressing issues at schools and on campuses throughout the country. We tell the whole story, even when the details are inconvenient. Help us keep doing that.

    Join us today.

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  • Students Explore STEM with Engineers

    Students Explore STEM with Engineers

    Middletown, PA – Phoenix Contact engineers head back into the classroom this week to teach sixth-grade science class at Middletown Area Middle School in Middletown, Pa. The classes are part of Phoenix Contact’s National Engineers Week celebration.

    Phoenix Contact has worked with the school every February since 2007. The engineers lead hands-on lessons that make science fun. The goal is to inspire young people to consider careers in science, technology, engineering, and math (STEM).

    The lessons include:

    • Building catapults
    • Racing cookie tins down ramps
    • Building an electric motor
    • Learning about static electricity with the Van de Graaff generator

    “Our engineering team created this outreach program many years ago, and the partnership with Middletown Area School District has stood the test of time,” said Patty Marrero, interim vice president of human relations at Phoenix Contact. “National Engineers Week is a special time for them to share their passion for technology with students. It’s also our chance to thank our engineers for the creativity and innovations that drive our company forward.”

    About Phoenix Contact

    Phoenix Contact is a global market leader based in Germany. Since 1923, Phoenix Contact has created products to connect, distribute, and control power and data flows. Our products are found in nearly all industrial settings, but we have a strong focus on the energy, infrastructure, process, factory automation, and e-mobility markets. Sustainability and responsibility guide every action we take, and we’re proud to work with our customers to empower a smart and sustainable world for future generations. Our global network includes 22,000 employees in 100+ countries. Phoenix Contact USA has headquarters near Harrisburg, Pa., and employs more than 1,100 people across the U.S.

    For more information about Phoenix Contact or its products, visit www.phoenixcontact.com, call technical service at 800-322-3225, or email [email protected].

    eSchool News Staff
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  • Embracing a growth mindset when reviewing student data

    Embracing a growth mindset when reviewing student data

    Key points:

    In the words of Carol Dweck, “Becoming is better than being.” As novice sixth grade math and English teachers, we’ve learned to approach our mid-year benchmark assessments not as final judgments but as tools for reflection and growth. Many of our students entered the school year below grade level, and while achieving grade-level mastery is challenging, a growth mindset allows us to see their potential, celebrate progress, and plan for further successes amongst our students. This perspective transforms data analysis into an empowering process; data is a tool for improvement amongst our students rather than a measure of failure.

    A growth mindset is the belief that abilities grow through effort and persistence. This mindset shapes how we view data. Instead of focusing on what students can’t do, we emphasize what they can achieve. For us, this means turning gaps into opportunities for growth and modeling optimism and resilience for our students. When reviewing data, we don’t dwell on weaknesses. We set small and achievable goals to help students move forward to build confidence and momentum.

    Celebrating progress is vital. Even small wins (i.e., moving from a kindergarten grade-level to a 1st– or 2nd-grade level, significant growth in one domain, etc.) are causes for recognition. Highlighting these successes motivates students and shows them that effort leads to results.

    Involving students in the process is also advantageous. At student-led conferences, our students presented their data via slideshows that they created after they reviewed their growth, identified their strengths, and generated next steps with their teachers. This allowed them to feel and have tremendous ownership over their learning. In addition, interdisciplinary collaboration at our weekly professional learning communities (PLCs) has strengthened this process. To support our students who struggle in English and math, we work together to address overlapping challenges (i.e., teaching math vocabulary, chunking word-problems, etc.) to ensure students build skills in connected and meaningful ways.

    We also address the social-emotional side of learning. Many students come to us with fixed mindsets by believing they’re just “bad at math” or “not good readers.” We counter this by celebrating effort, by normalizing struggle, and by creating a safe and supportive environment where mistakes are part of learning. Progress is often slow, but it’s real. Students may not reach grade-level standards in one year, but gains in confidence, skills, and mindset set the stage for future success, as evidenced by our students’ mid-year benchmark results. We emphasize the concept of having a “growth mindset,” because in the words of Denzel Washington, “The road to success is always under construction.” By embracing growth and seeing potential in every student, improvement, resilience, and hope will allow for a brighter future.

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  • America’s kids are still behind in reading and math. These schools are defying the trend

    America’s kids are still behind in reading and math. These schools are defying the trend

    This story was produced by the Associated Press and reprinted with permission.

    Math is the subject sixth grader Harmoni Knight finds hardest, but that’s changing.

    In-class tutors and “data chats” at her middle school in Compton, California, have made a dramatic difference, the 11-year-old said. She proudly pulled up a performance tracker at a tutoring session last week, displaying a column of perfect 100 percent scores on all her weekly quizzes from January.

    Since the pandemic first shuttered American classrooms, schools have poured federal and local relief money into interventions like the ones in Harmoni’s classroom, hoping to help students catch up academically following COVID-19 disruptions.

    But a new analysis of state and national test scores shows the average student remains half a grade level behind pre-pandemic achievement in both reading and math. In reading, especially, students are even further behind than they were in 2022, the analysis shows.

    Compton is an outlier, making some of the biggest two-year gains in both subjects among large districts. And there are other bright spots, along with evidence that interventions like tutoring and summer programs are working.

    Students interact in a fourth grade classroom at William Jefferson Clinton Elementary in Compton, Calif., Thursday, Feb. 6, 2025. Credit: Eric Thayer/Associated Press

    The Education Recovery Scorecard analysis by researchers at Harvard, Stanford and Dartmouth allows year-to-year comparisons across states and districts, providing the most comprehensive picture yet of how American students are performing since COVID-19 first disrupted learning.

    The most recent data is based on tests taken by students in spring 2024. By then, the worst of the pandemic was long past, but schools were dealing still with a mental health crisis and high rates of absenteeism — not to mention students who’d had crucial learning disrupted.  

    “The losses are not just due to what happened during the 2020 to 2021 school year, but the aftershocks that have hit schools in the years since the pandemic,” said Tom Kane, a Harvard economist who worked on the scorecard.

    In some cases, the analysis shows school districts are struggling when their students may have posted decent results on their state tests. That’s because each state adopts its own assessments, and those aren’t comparable to each other. Those differences can make it impossible to tell whether students are performing better because of their progress, or whether those shifts are because the tests themselves are changing, or the state has lowered its standards for proficiency.

    The Scorecard accounts for differing state tests and provides one national standard.

    Higher-income districts have made significantly more progress than lower-income districts, with the top 10 percent of high-income districts four times more likely to have recovered in both math and reading compared with the poorest 10 percent. And recovery within districts remains divided by race and class, especially in math scores. Test score gaps grew by both race and income.

    A student works in a classroom at Benjamin O. Davis Middle School in Compton, Calif., Thursday, Feb. 6, 2025. Credit: Eric Thayer/Associated Press

    “The pandemic has not only driven test scores down, but that decline masks a pernicious inequality that has grown during the pandemic,” said Sean Reardon, a Stanford sociologist who worked on the scorecard. “Not only are districts serving more Black and Hispanic students falling further behind, but even within those districts, Black and Hispanic students are falling further behind their white district mates.”

    Still, many of the districts that outperformed the country serve predominantly low-income students or students of color, and their interventions offer best practices for other districts.

    Related: Become a lifelong learner. Subscribe to our free weekly newsletter featuring the most important stories in education.

    In Compton, the district responded to the pandemic by hiring over 250 tutors that specialize in math, reading and students learning English. Certain classes are staffed with multiple tutors to assist teachers. And schools offer tutoring before, during and after school, plus “Saturday School” and summer programs for the district’s 17,000 students, said Superintendent Darin Brawley.

    To identify younger students needing targeted support, the district now conducts dyslexia screenings in all elementary schools.

    The low-income school district near downtown Los Angeles, with a student body that is 84 percent Latino and 14 percent Black, now has a graduation rate of 93 percent, compared with 58 percent when Brawley took the job in 2012.

    Harmoni, the sixth-grader, said that one-on-one tutoring has helped her grasp concepts and given her more confidence in math. She gets separate “data chats” with her math specialist that are part performance review, part pep talk.

    “Looking at my data, it kind of disappoints me” when the numbers are low, said Harmoni. “But it makes me realize I can do better in the future, and also now.”

    Brawley said he’s proud of the district’s latest test scores, but not content.

    “Truth be told, I wasn’t happy,” he said. “Even though we gained, and we celebrate the gains, at the end of the day we all know that we can do better.”

    A tutor helps students at Benjamin O. Davis Middle School in Compton, Calif., Thursday, Feb. 6, 2025. Credit: Eric Thayer/Associated Press

    As federal pandemic relief money for schools winds down, states and school districts will have limited resources and must prioritize interventions that worked. Districts that spent federal money on increased instructional time, either through tutoring or summer school, saw a return on that investment.

    Reading levels have continued to decline, despite a movement in many states to emphasize phonics and the “science of reading.” So Reardon and Kane called for an evaluation of the mixed results for insights into the best ways to teach kids to read.

    Related: Why are kids struggling in school four years after the pandemic?

    The researchers emphasized the need to extend state and local money to support pandemic recovery programs that showed strong academic results. Schools also must engage parents and tell them when their kids are behind, the researchers said.

    And schools must continue to work with community groups to improve students’ attendance. The scorecard identified a relationship between high absenteeism and learning struggles.

    In the District of Columbia, an intensive tutoring program helped with both academics and attendance, said D.C. Public Schools Chancellor Lewis Ferebee. In the scorecard analysis, the District of Columbia ranked first among states for gains in both math and reading between 2022 and 2024, after its math recovery had fallen toward the bottom of the list.

    Pandemic-relief money funded the tutoring, along with a system of identifying and targeting support at students in greatest need. The district also hired program managers who helped maximize time for tutoring within the school day, Ferebee said.

    Students who received tutoring were more likely to be engaged with school, Ferebee said, both from increased confidence over the subject matter and because they had a relationship with another trusted adult.

    Related: Some of the $190 billion in pandemic money for schools actually paid off

    Students expressed that “I’m more confident in math because I’m being validated by another adult,” Ferebee said. “That validation goes a long way, not only with attendance, but a student feeling like they are ready to learn and are capable, and as a result, they show up differently.”

    Federal pandemic relief money has ended, but Ferebee said many of the investments the district made will have lasting impact, including the money spent on teacher training and curriculum development in literacy.

    Students walk through a hallway at Benjamin O. Davis Middle School in Compton, Calif., Thursday, Feb. 6, 2025. Credit: Eric Thayer/Associated Press

    Christina Grant, who served as the District of Columbia’s state superintendent of education until 2024, said she’s hopeful to see the evidence emerging on what’s made a difference in student achievement.

    “We cannot afford to not have hope. These are our students. They did not cause the pandemic,” Grant said. “The growing concern is ensuring that we can … see ourselves to the other side.”

    The Associated Press’ education coverage receives financial support from multiple private foundations. AP is solely responsible for all content. Find AP’s standards for working with philanthropies, a list of supporters and funded coverage areas at AP.org.

    The Hechinger Report provides in-depth, fact-based, unbiased reporting on education that is free to all readers. But that doesn’t mean it’s free to produce. Our work keeps educators and the public informed about pressing issues at schools and on campuses throughout the country. We tell the whole story, even when the details are inconvenient. Help us keep doing that.

    Join us today.

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  • A dismal report card in math and reading

    A dismal report card in math and reading

    The kids are not bouncing back. 

    The results of a major national test released Wednesday showed that in 2024, reading and math skills of fourth and eighth grade students were still significantly below those of students in 2019, the last administration of the test before the pandemic. In reading, students slid below the devastatingly low achievement levels of 2022, which many educators had hoped would be a nadir. 

    The test, the National Assessment of Educational Progress (NAEP), is often called the nation’s report card. Administered by the federal government, it tracks student performance in fourth and eighth grades and serves as a national yardstick of achievement. Scores for the nation’s lowest-performing students were worse in both reading and math than those of students two years ago. The only bright spot was progress by higher-achieving children in math. 

    The NAEP report offers no explanation for why students are faltering, and the results were especially disappointing after the federal government gave schools $190 billion to aid in pandemic recovery. 

    “These 2024 results clearly show that students are not where they need to be or where we want them to be,” said Peggy Carr, the commissioner of the National Center for Education Statistics, in a briefing with journalists. 

    Related: Our free weekly newsletter alerts you to what research says about schools and classrooms.

    More than 450,000 fourth and eighth graders, selected to be representative of the U.S. population, took the biennial reading and math tests between January and March of 2024. 

    Depressed student achievement was pervasive across the country, regardless of state policies or instructional mandates. Student performance in every state remained below what it was in 2019 on at least one of the four reading or math tests. In addition to state and national results, the NAEP report also lists the academic performance for 26 large cities that volunteer for extra testing.

    An ever-widening gap

    The results also highlighted the sharp divergence between higher- and lower- achieving students. The modest progress in fourth grade math was entirely driven by high-achieving students. And the deterioration in both fourth and eighth grade reading was driven by declines among low-achieving students. 

    “Certainly the most striking thing in the results is the increase in inequality,” said Martin West, a professor of education at Harvard University and vice chair of the National Assessment Governing Board, which oversees the NAEP test. “That’s a big deal. It’s something that we hadn’t paid a lot of attention to traditionally.”

    The starkest example of growing inequality is in eighth grade math, where the achievement gap grew to the largest in the history of the test.

    Source: NAEP 2024

    The chart above shows that the math scores of all eighth graders fell between 2019 and 2022. Afterward, high-achieving students in the top 10 percent and 25 percent of the nation (labeled as the 90th and 75th percentiles above) began to improve, recovering about a quarter of the setbacks for high achievers during the pandemic. That’s still far behind high-performing eighth graders in 2019, but at least it’s a positive trend. 

    The more disturbing result is the continuing deterioration of scores by low-performing students in the bottom 10 percent and 25 percent. The huge pandemic learning losses for students in the bottom 10 percent grew 70 percent larger between 2022 and 2024. Learning losses for students in the bottom 25 percent grew 25 percent larger.

    “The rich get richer and the poor are getting shafted,” said Scott Marion, who serves on the NAEP’s governing board and is the executive director of the National Center for the Improvement of Educational Assessment, a nonprofit consultancy. “It’s almost criminal.”

    More than two-thirds of students in the bottom 25 percent are economically disadvantaged. A quarter of these low performers are white and another quarter are Black. More than 40 percent are Hispanic. A third of these students have a disability and a quarter are classified as English learners. 

    By contrast, fewer than a quarter of the students in the top 25 percent are economically disadvantaged. They are disproportionately white (61 percent) and Asian American (14 percent). Only 5 percent are Black and 15 percent are Hispanic. Three percent or fewer of students at the top have a disability or are classified as English learners.  

    Related: Six puzzling questions from the disastrous [2022] NAEP results

    Although average math scores among all eighth grade students were unchanged between 2022 and 2024, that average masks the improvements at the top and the deterioration at the bottom. They offset each other. 

    The NAEP test does not track individual students. The eighth graders who took the exam in 2024 were a different group of students than the eighth graders who took the exam in 2022 and who are now older. Individual students have certainly learned new skills since 2019. When NAEP scores drop, it’s not that students have regressed and cannot do things they used to be able to do. It means that they’re learning less each year. Kids today aren’t able to read or solve math problems as well as kids their same age in the past.

    Students who were in eighth grade in early 2024, when this exam was administered, were in fourth grade when the pandemic first shuttered schools in March 2020. Their fifth grade year, when students should have learned how to add fractions and round decimals, was profoundly disrupted. School days began returning to normal during their sixth and seventh grade years. 

    Harvard’s West explained that it was incorrect to assume that children could bounce back academically. That would require students to learn more in a year than they historically have, even during the best of times.

    “There’s nothing in the science of learning and development that would lead us to expect students to learn at a faster rate after they’ve experienced disruption and setbacks,” West said. “Absent a massive effort society-wide to address the challenge, and I just haven’t seen an effort on the scale that I think would be needed, we shouldn’t expect more positive results.”

    Learning loss is like a retirement savings shortfall

    Learning isn’t like physical exercise, West said. When our conditioning deteriorates after an injury, the first workouts might be a grind but we can get back to our pre-injury fitness level relatively quickly. 

    “The better metaphor is saving for retirement,” said West. “If you miss a deposit into your account because of a short-term emergency, you have to find a way to make up that shortfall, and you have to make it up with interest.”

    What we may be seeing now are the enduring consequences of gaps in basic skills. As the gaps accumulate, it becomes harder and harder for students to keep up with grade-level content. 

    Another factor weighing down student achievement is rampant absenteeism. In survey questions that accompany the test, students reported attending school slightly more often than they had in 2022, but still far below their 2019 attendance rates. Eleven percent of eighth graders said that they had missed five or more school days in the past month, down from 16 percent in 2022, but still far more than the 7 percent of students who missed that much school in 2019. 

    “We also see that lower-performing readers aren’t coming to school,” said NCES Commissioner Carr. “There’s a strong relationship between absenteeism and performance in these data that we’re looking at today.”

    Eighth graders by the number of days they said they were absent from school in the previous month 

    Source: NAEP 2024

    Fourth grade math results were more hopeful. Top-performing children fully recovered back to 2019 achievement levels and can do math about as well as their previous peers. However, lower-performing children in the bottom 10 percent and 25 percent did not rebound at all. Their scores were unchanged between 2022 and 2024. These students were in kindergarten when the pandemic first hit in 2020 and missed basic instruction in counting and arithmetic.

    Reading scores showed a similar divergence between high- and low- achievers.

    Source: NAEP 2024

    This chart above shows that the highest-performing eighth graders failed to catch up to what high-achieving eighth graders used to be able to do on reading comprehension tests. But it’s not a giant difference. What’s startling is the steep decline in reading scores for low-achieving students. The pandemic drops have now doubled in size. Reading comprehension is much, much worse for many middle schoolers. 

    It’s difficult to say how much of this deterioration is pandemic related. Reading comprehension scores for middle schoolers had been declining for a decade since 2013. Separate surveys show that students are reading less for pleasure, and many educators speculate that cellphone use has replaced reading time.

    Related: Why reading comprehension is deteriorating

    The biggest surprise was fourth grade reading. Over the past decade, a majority of states have passed new “science of reading” laws or implemented policies that emphasize phonics in classrooms. There have been reports of improved reading performance in Mississippi, Florida, Tennessee and elsewhere. But scores for most fourth graders, from the highest to the lowest achievers, have deteriorated since 2022. 

    One possibility, said Harvard’s West, is that it’s “premature” to see the benefits of improved instruction, which could take years.  Another possibility, according to assessment expert Marion, is that being able to read words is important, but it’s not enough to do well on the NAEP, which is a test of comprehension. More elementary school students may be better at decoding words, but they have to make sense of those words to do well on the NAEP. 

    Carr cited the example of Louisiana as proof that it is possible to turn things around. The state exceeded its 2019 achievement levels in fourth grade reading. “They did focus heavily on the science of reading but they didn’t start yesterday,” said Carr. “I wouldn’t say that hope is lost.”

    More students fall below the lowest “basic” level 

    The results show that many more children lack even the most basic skills. In math, 24 percent of fourth graders and 39 percent of eighth graders cannot reach the lowest of three achievement levels, called “basic.” (The others are “proficient” and “advanced.”) These are fourth graders who cannot locate whole numbers on a number line or eighth graders who cannot understand scientific notation. 

    The share of students reading below basic was the highest it’s ever been for eighth graders, and the highest in 20 years for fourth graders. Forty percent of fourth graders cannot put events from a story into sequential order, and one third of eighth graders cannot determine the meaning of a word in the context of a reading passage. 

    “To me, this is the most pressing challenge facing American education,” said West.

    Contact staff writer Jill Barshay at 212-678-3595 or [email protected].

    This story about the 2024 NAEP test was written by Jill Barshay and produced by The Hechinger Report, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for  Hechinger newsletters.

    The Hechinger Report provides in-depth, fact-based, unbiased reporting on education that is free to all readers. But that doesn’t mean it’s free to produce. Our work keeps educators and the public informed about pressing issues at schools and on campuses throughout the country. We tell the whole story, even when the details are inconvenient. Help us keep doing that.

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  • Across All Ages & Demographics, Test Results Show Americans Are Getting Dumber – The 74

    Across All Ages & Demographics, Test Results Show Americans Are Getting Dumber – The 74


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    There’s no way to sugarcoat it: Americans have been getting dumber.

    Across a wide range of national and international tests, grade levels and subject areas, American achievement scores peaked about a decade ago and have been falling ever since. 

    Will the new NAEP scores coming out this week show a halt to those trends? We shall see. But even if those scores indicate a slight rebound off the COVID-era lows, policymakers should seek to understand what caused the previous decade’s decline. 

    There’s a lot of blame to go around, from cellphones and social media to federal accountability policies. But before getting into theories and potential solutions, let’s start with the data.

    Until about a decade ago, student achievement scores were rising. Researchers at Education Next found those gains were broadly shared across racial and economic lines, and achievement gaps were closing. But then something happened, and scores started to fall. Worse, they fell faster for lower-performing students, and achievement gaps started to grow.

    This pattern shows up on test after test. Last year, we looked at eighth grade math scores and found growing achievement gaps in 49 of 50 states, the District of Columbia and 17 out of 20 large cities with sufficient data.

    But it’s not just math, and it’s not just NAEP. The American Enterprise Institute’s Nat Malkus has documented the same trend in reading, history and civics. Tests like NWEA’s MAP Growth and Curriculum Associates’ i-Ready are showing it too. And, as Malkus found in a piece released late last year, this is a uniquely American problem. The U.S. now leads the world in achievement gap growth.

    What’s going on? How can students here get back on track? Malkus addresses these questions in a new report out last week and makes the point that any honest reckoning with the causes and consequences of these trends must account for the timing, scope and magnitude of the changes.

    Theory #1: It’s accountability

    As I argued last year, my top explanation has been the erosion of federal accountability policies. In 2011 and 2012, the Obama administration began issuing waivers to release states from the most onerous requirements of the No Child Left Behind Act. Congress made those policies permanent in the 2015 Every Student Succeeds Act. That timing fits, and it makes sense that easing up on accountability, especially for low-performing students, led to achievement declines among those same kids.

    However,  there’s one problem with this explanation: American adults appear to be suffering from similar achievement declines. In results that came out late last year, the average scores of Americans ages 16 to 65 fell in both literacy and numeracy on the globally administered Program for the International Assessment of Adult Competencies. 

    And even among American adults, achievement gaps are growing. The exam’s results are broken down into six performance levels. On the numeracy portion, for example, the share of Americans scoring at the two highest levels rose two points, from 10% to 12%, while the percentage of those at the bottom two levels rose from 29% to 34%. In literacy, the percentage of Americans scoring at the top two levels fell from 14% to 13%, while the lowest two levels rose from 19% to 28%. 

    These results caused Peggy Carr, the commissioner of the National Center for Education Statistics, to comment, “There’s a dwindling middle in the United States in terms of skills.” Carr could have made the same comment about K-12 education —  except that these results can’t be explained by school-related causes.

    Theory #2: It’s the phones

    The rise of smartphones and social media, and the decline in reading for pleasure, could be contributing to these achievement declines. Psychologist Jean Twenge pinpointed 2012 as the first year when more than half of Americans owned a smartphone, which is about when achievement scores started to decline. This theory also does a better job of explaining why Americans of all ages are scoring lower on achievement tests.

    But there are some holes in this explanation. For one, why are some of the biggest declines seen in the youngest kids? Are that many 9-year-olds on Facebook or Instagram? Second, why are the lowest performers suffering the largest declines in achievement? Attention deficits induced by phones and screens should affect all students in similar ways, and yet the pattern shows the lowest performers are suffering disproportionately large drops.

    But most fundamentally, why is this mostly a U.S. trend? Smartphones and social media are global phenomena, and yet scores in Australia, England, Italy, Japan and Sweden have all risen over the last decade. A couple of other countries have seen some small declines (like Finland and Denmark), but no one has else seen declines like we’ve had here in the States.

    Other theories: Immigration, school spending or the Common Core

    Other theories floating around have at least some kernels of truth. Immigration trends could explain some portion of the declines, although it’s not clear why those would be affecting scores only now. The Fordham Institute’s Mike Petrilli has partly blamed America’s “lost decade” on economic factors, but school spending has rebounded sharply in recent years without similar gains in achievement. Others, including historian Diane Ravitch and the Pioneer Institute’s Theodor Rebarber, blame the shift to the Common Core state standards, which was happening about the same time. But non-Common Core states suffered similar declines, and scores have also dropped in non-Common Core subjects.

    Note that COVID is not part of my list. It certainly exacerbated achievement declines and reset norms within schools, but achievement scores were already falling well before it hit America’s shores.

    Instead of looking for one culprit, it could be a combination of these factors. It could be that the rise in technology is diminishing Americans’ attention spans and stealing their focus from books and other long-form written content. Meanwhile, schools have been de-emphasizing basic skills, easing up on behavioral expectations and making it easier to pass courses. At the same time, policymakers in too many parts of the country have stopped holding schools accountable for the performance of all students.

    That’s a potent mix of factors that could explain these particular problems. It would be helpful to have more research to pinpoint problems and solutions, but if this diagnosis is correct, it means students, teachers, parents and policymakers all have a role to play in getting achievement scores back on track. 


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  • One country wants to close math achievement gaps by ending academic tracking

    One country wants to close math achievement gaps by ending academic tracking

    CHRISTCHURCH, New Zealand — Many students in New Zealand have a story to tell about “streaming” — being grouped into separate math classes based on their perceived ability to master the subject.

    Manaaki Waretini-Beaumont, now 18 and an environmental science major at the University of Canterbury, learned about the downside of streaming when she enrolled in Avonside Girls’, a 1,000-student high school in Christchurch.

    Avonside starts at Year 9, equivalent to eighth grade in the United States, and ends at Year 13, equivalent to 12th grade. Before the start of her Year 9 term, Waretini-Beaumont and her fellow students were divided up into groups to take tests in “maths,” reading comprehension, and patterns and shapes.

    Afterward, the students were separated into lettered groups that spelled out the word B-I-N-O-C-U-L-A-R-S. Waretini-Beaumont was a “9-N” student in mathematics — as she describes it, “the top of the middle block.”

    But she said she didn’t feel comfortable as one of the few Māori students in the class.

    “I felt like I wasn’t good enough to be in that space,” said Waretini-Beaumont, whose iwi, or tribal affiliations, are Te Āti Haunui-A-Pāpārangi, Ngāti Rangi, Ngāti Apa, Ngāti Paoa. “If there was something I wasn’t understanding, I felt like I wasn’t able to say that, because I’m supposed to be in the smart class with all these smart people.”

    So she shifted to another mathematics class with her Māori friends, who were in the “S” classes. 

    “Being in two different spaces, I could really see the change,” Waretini-Beaumont said. “At the top classes, the teachers’ language towards the students was always positive and it was always encouraging. And they really wanted students to learn and were trying to help them.”

    Manaaki Waretini-Beaumont experienced the effects of “streaming,” or academic ability tracking, during her time as a high school student at Avonside Girls’ School in Christchurch, New Zealand. Credit: Image provided by Richie Mills/Ngāi Tahu

    In the classroom where her friends were assigned, in contrast, the mathematics work mostly amounted to simple worksheets — “coloring pages and word find,” Waretini-Beaumont said.

    Related: Sign up for a limited-run newsletter that walks you through some of the most promising solutions for helping students conquer math.

    For years, much like in the United States, New Zealand has worried about sliding student proficiency in mathematics, as captured by both national and international test scores. Later this month — the beginning of the New Zealand school year — the country is launching an overhaul of mathematics instruction that education leaders hope will reverse the trend.

    But other groups in the country have been trying to approach the problem of academic achievement from a different angle. They believe that streaming is driving achievement gaps in the country, including in mathematics. Tokona te Raki/Māori Futures Collective, a think tank focused on youth, has been working since 2019 to persuade schools to voluntarily end the practice by 2030. The initiative is called “Kōkirihia”— Māori for “take action.”

    Streaming is just one of many ways that schools group students by academic ability. Ability grouping can include separating students into vocational or university tracks at different schools as early as age 10, as is common in Germany and other Western European countries. But it could also include teachers creating informal and non-permanent groupings within their own classrooms to provide enrichment or extra support to students who need it.

    In New Zealand, critics say streaming pushes two groups into so-called “cabbage,” or lower-level mathematics, at a disproportionate rate: Māori students, who are indigenous to New Zealand, and students who are Pasifika, the New Zealand term for people from Samoa, Tonga and other nations in the Pacific Islands.

    In the 14th century, the Polynesian ancestors of today’s Māori migrated thousands of miles by canoe to what they called Aotearoa, the land of the long white cloud. Hundreds of years later, English settlers came to engage in trade and now represent the majority ethnic group in New Zealand. In 1840, the two groups signed the Treaty of Waitangi that established New Zealand’s bicultural identity.

    Many youth with Pacific Island backgrounds are descended from people who were encouraged to move to New Zealand after World War II to address a labor shortage.

    Both Māori and Pasifika are a fast-growing, and young, population. By the 2040s, more than a third of children in the country are expected to identify as Māori, according to Stats NZ, the country’s official data agency.

    Related: Eliminating advanced math ‘tracks’ often prompts outrage. Some districts buck the trend

    The New Zealand Ministry of Education’s official stance discourages streaming, but the country’s more than 2,500 schools operate with a great deal of independence: Principals have similar powers and responsibilities as school superintendents in the United States, and each school has an elected board that sets policy and manages budgets.

    New Zealand does not track streaming or ability grouping by race or ethnicity, but surveys show it is common: Eighty percent of students are in schools that group students by ability level in mathematics, according to a 2022 survey conducted by the Program for International Student Assessment.

    Other data shows a wide academic gap among students of different ethnicities in New Zealand.

    Students at May Road School in Auckland, New Zealand, work through a lesson on fractions. Credit: Becki Moss for The Hechinger Report

    In the Auckland region, the country’s most densely populated of 16 regions in all, 76 percent of Asian students left secondary school with the highest of three levels on the country’s National Certificate of Educational Achievement in 2022. Like a high school diploma, the NCEA Level 3 is a minimum qualification to enter college in New Zealand.

    About 66 percent of Pākehā, or white, students left school with that credential. About 46 percent of Pasifika students and 40 percent of Māori students did the same.

    In comparison, the high school graduation rate by race and ethnicity in the United States in the 2021-22 school year was 94 percent for Asian American/Pacific Islander students, 90 percent for white students, 83 percent for Hispanic students, 81 percent for Black students and 74 percent for American Indian/Alaskan Native students.

    Misbah Sadat, the newly appointed principal at Kuranui College, a high school 50 miles northeast of the capital of Wellington, began actively working to “destream” mathematics courses soon after emigrating to New Zealand in 2009 and becoming a teacher there.

    As head of mathematics at a high school called Horowhenua College, she started by identifying promising Māori students on her own, moving them to higher level classes, and mentoring them, as described in a Ministry of Education newsletter.

    Related: OPINION: As a middle-class Black student, I was tracked into lower-level math classes that kept me back

    Eventually she convinced her colleagues at Horowhenua to create mixed-ability classes rather than dividing the students. She continued the same work as deputy principal at Onslow College in suburban Wellington, where she worked before her new appointment.

    The streaming practice comes from a patronizing mindset, said Sadat, who was also a math teacher in Montgomery County, Maryland.

    Schools are telling parents that their children might be lost and overwhelmed in a more rigorous class. In actuality, “We have demoted some students to learn crap,” she said. “And then we are saying that at age 16, ‘You are dumb at maths.’ How dare we decide what a young person is capable of or not capable of?” 

    Students at Kaiapoi North School in suburban Christchurch, New Zealand, work through a multiplication problem in chalk on the playground blacktop. Credit: Becki Moss for The Hechinger Report

    Both of New Zealand’s unions for elementary and secondary teachers signed onto the pledge to end streaming by 2030. In a newsletter to members, the elementary teachers union noted that its members have noticed “a sense of ingrained hopelessness that comes with being in the ‘cabbage’ classes.”

    But in the same newsletter, another teacher said educators struggle with the mix of abilities in one classroom, along with managing behavior challenges.

    David Pomeroy, a senior lecturer in education at the University of Canterbury in Christchurch, is studying schools that have committed to reducing their reliance on streaming.

    It’s a difficult task, he said. So many teachers are accustomed to the practice, since they went through it in school themselves. Parents of students in high-level classes are worried their children will be shortchanged. Teachers also say that it is easier to work with students who are all roughly on the same skill level.

    And then there is an emotional connection to the practice, Pomeroy said. Unlike in the United States, lower-level mathematics classes are often taught by teachers who have a lot of classroom experience and who express real fondness for their students, he said. Pushing students too hard is seen as setting them up for repeated failure, which teachers were reluctant to do.

    Abby Zonneveld’s bulletin board at St. Clair School in Dunedin, New Zealand, asked students to describe their “tūrangawaewae,” or place where they feel a special connection. Credit: Becki Moss for The Hechinger Report

    “Even if they accepted streaming wasn’t the right next step, they wanted to protect them from anything that could damage their confidence,” Pomeroy said.

    For schools that have made a commitment to reducing or ending streaming, he said, one useful tool has been to bring mathematics teachers in different schools together so they can work through challenges, such as lesson planning, and share successes.

    Related: Racial gaps in math have grown. Could detracking help?

    The research into the benefits or harms of academic tracking or streaming show mixed results. In 2016, a group of researchers compiled all the best U.S-based research on ability grouping and acceleration at that point, going back for a century. They found certain kinds of ability grouping, such as placing highly gifted students together, was a benefit to those students. But grouping students in high- or low-performing classes did not show any benefit or detriment for students.

    The New Zealand Initiative, a right-of-center think tank, said that the country should conduct its own research on the effects of streaming in the country, rather than relying primarily on research done elsewhere and on qualitative reports that primarily capture feelings about the practice. “Research suggests that lowerstream students are often taught less engaging content by less experienced teachers. So, it may not be streaming itself that increases gaps in achievement but streaming done poorly,” the initiative said in a report.

    But the efforts to reduce streaming voluntarily seem to be catching on.

    When looking at all academic subjects, not just mathematics, principals on a 2022 PISA survey said 67 percent of students in New Zealand are grouped by ability into different classes for at least some subjects. That’s a drop from 2015, when 90 percent of principals reported that students were grouped into different classes in their schools.

    The change is welcome, said Waretini-Beaumont, who works on social media for Tokona te Raki. Streaming “has more impact than just cutting off some opportunities and stopping someone from doing calculus,” she said. “Our grandparents have been streamed and they don’t know it was even a thing. They just thought they were dumb.”

    Contact Christina A. Samuels at 212-678-3635 or [email protected].

    This story was produced with support from the Education Writers Association Reporting Fellowship program.

    This story about academic tracking was produced by The Hechinger Report, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for the Hechinger newsletter.

    The Hechinger Report provides in-depth, fact-based, unbiased reporting on education that is free to all readers. But that doesn’t mean it’s free to produce. Our work keeps educators and the public informed about pressing issues at schools and on campuses throughout the country. We tell the whole story, even when the details are inconvenient. Help us keep doing that.

    Join us today.

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