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The Building Blocks of Math That Young Students Need to Excel — But Aren’t Always Getting

BLACKPRESSUSA NEWSWIRE — An analysis of state tests shows that few states have recovered students from pandemic math losses, with disadvantaged students from low-income neighborhoods hit especially hard

Published

6 months ago

June 9, 2025

Oakland Post

By Holly Korbey, Hechinger Report

This story was produced by The Hechinger Report, a nonprofit, nonpartisan news outlet focused on education.

ATLANTA — Students gathered around a bright blue number board in Melissa Williams’ kindergarten class at the Westminster School, gazing at the bank of 100 blank squares, organized in rows and columns of 10. Their assignment was to pick a numbered tile and figure out where it should go on the board. The task seems simple, but Williams’ goal was to bolster students’ “number sense” — a difficult-to-define skill, but one that is nevertheless essential for more advanced mathematics. One student with a “42” tile carefully counted the squares in each row. “Ten!” he said. Counting each row by tens — 10, 20, 30 — he came to 40, then moved his finger to the next row and counted the next two to arrive at 42. The fact that the student was able to count by tens and then add two, rather than counting each square up to 42, is an example of number sense.

Other examples include understanding the size of numbers about one another, finding missing numbers in a sequence, understanding that written numbers like “100” represent 100 items, and counting by ones, twos, fives, and tens. Each of these skills is critical to understanding math, just like grasping the connection between letters and the sounds they represent is a must-have skill for fluent reading. Number sense is so innate to many adults that they may not remember being taught such skills. It is crucial to mastering more complex math skills like manipulating fractions and decimals or solving equations with unknown variables, experts say. Research shows that a flexible understanding of numbers is strongly correlated to later math achievement and the ability to solve problems presented in different ways. Unlike the recent surge of evidence on science-based reading instruction, research and emphasis on number sense isn’t making its way into schools and classrooms in the same way. Students spend less time on foundational numeracy compared with what they spend on reading; elementary teachers often receive less training in how to teach math effectively; and schools use fewer interventions for students who need extra math support.

Many American students struggle in math. According to the 2024 National Assessment of Educational Progress, nearly 1 in 4 fourth graders and 39 percent of eighth graders scored “below basic,” the test’s lowest category. An analysis of state tests shows that few states have recovered students from pandemic math losses, with disadvantaged students from low-income neighborhoods hit especially hard. For those struggling students — including those diagnosed with dyscalculia and related learning challenges — lack of number sense often plays a significant role. “For kids that have a fundamental weakness in mathematics, 80 percent or 90 percent of the time that’s going to be linked to a lack of understanding numbers,” said Ben Clarke, an early math researcher and department head of special education and clinical sciences at the University of Oregon. “If we want students to be able to access other pieces of mathematics that are really important, then they need to build this foundational understanding of numbers.” Doug Clements, the Kennedy-endowed chair in early childhood learning at the University of Denver, said many American students struggle with seeing relationships between numbers. “Children who see 98 plus 99 and line them up vertically, draw a bar underneath with an addition sign, then sum the eight and the nine, carry the one and so forth — they are not showing relational thinking,” Clements said. “Children who immediately say, ‘That’s 200 take away three, so 197,’ are showing number sense.”

Even in the early years of school, researchers can spot students who can make connections between numbers and use more sophisticated strategies to solve problems, just as some students start school already reading. Also as with reading, gaps between students are present on the first day of kindergarten. Students from low-income and disadvantaged backgrounds arrive at school with less math knowledge than high-income students. Boston College psychologist and early math researcher Elida Laski said research has found income-based differences in how families talk about math with children before they ever reach school. “Lower-income families are more likely to think about math as narrow, it’s counting and numbers,” Laski said. “Whereas higher-income families tend to think about math as more conceptual and around in everyday life.” These differences in thinking play out in how flexible students are with numbers in early elementary school. In one study, Laski and her team found that higher-income kindergarten and first-grade students used more sophisticated problem-solving strategies than lower-income students, who more often relied on counting. The higher-income students also had more basic math facts committed to memory, like the answer to one plus two.

The memory recall and relatively advanced strategies used by higher-income students produced more efficient problem-solving and more correct answers than counting did. Also, when students from high-income families produced a wrong answer, it was often less wrong than students who were relying on strategies like counting. Laski said many of the low-income students in the study struggled with addiction because they didn’t have a firm understanding of how basic concepts of numbers work. For example, “When we’d ask, ‘What’s three plus four,’ we’d get answers like ‘34,’” Laski said. “Whatever ways they’re practicing arithmetic, they don’t have the conceptual basis to make sense of it. They didn’t have the number sense, really.” Laski said early childhood classrooms could be “far more direct” with students in teaching number sense, weaving it in explicitly when working on more concrete skills like addition. Clarke, the early math researcher at the University of Oregon, agreed. “Our understanding has drastically grown in the last 20, 25 years about effective instructional approaches” to help students learn number sense, said Clarke. “If you are only going to get X number of minutes in kindergarten or first grade to support student development in mathematics, kids that are not responding to the core instruction — you have to be pretty focused on what you do and what you offer.”

But elementary school teachers often aren’t trained well on the evidence base for best practices in teaching number sense. A 2022 report from the National Council on Teacher Quality highlights that while teacher training programs have improved in the last decade, they still have a long way to go. By their standard, only 15 percent of undergraduate elementary education programs earned an A for adequately covering both math content and pedagogy. Teachers aren’t often taught to look at math learning as a whole, a progression of skills that takes students through elementary math, beginning with learning to count and ending up in fractions and decimals — something that some instructional coaches say would help emphasize the importance of how early number sense connects to advanced math. Grade-level standards are the focus that can leave out the bigger picture.

Both the Common Core State Standards and Clements, who served on the 2008 National Mathematics Advisory Panel and helped create a resource of early math learning trajectories, outline those skills progressions. However, many teachers are unaware of them. Instructional coach and math consultant Neily Boyd, who is based in Nashville, Tennessee, said she often works with teachers on understanding how one skill builds on another in sequence, how skills are connected, using the progressions as a jumping-off point. “When teachers have been trained on both the whole math concept and how the pieces progress from year to year, they’re able to teach their grade-level piece in a way that builds from the previous pieces and towards the future pieces,” she said. “Learning math becomes about widening and refining understandings you’ve already built, rather than a never-ending list of seemingly disconnected components.”

Young students also spend less time with numbers, which often only appear during “math time,” than they do with letters, reading, and literacy. “Often I’ll go into classrooms with literacy stuff all over the walls, but nothing in terms of number,” said Nancy Jordan, professor of learning sciences at the University of Delaware and author of “Number Sense Interventions.” “In the early grades, there are so many ways to build number sense outside of instructional time as well — playing games, number lines in the classroom. Teachers can think of other ways to build these informal understandings of math and relate them to formal understanding.” On a recent fall day at Nashville Classical Charter School, in Nashville, Tennessee, fourth-grade math teacher Catherine Schwartz was walking students through a complicated subtraction problem with big numbers: “Lyle has 2,302 dog treats, but he needs 13,400. How many more treats does Lyle need?” To solve it, students had to “subtract across zeros,” regrouping from one place value to the next. Subtraction’s standard algorithm is an important skill to learn, Schwartz said, but can’t be done well without strong number sense.

Number sense for older students has some of the same ideas of magnitude and relationships, Schwartz said, but the numbers get bigger. Students began the subtraction problem using 13 thousand and four hundred to recognize the magnitude of the numbers in each place value, for example, but slowly simplified it into the classic stack-and-subtract method. Schwartz, who has taught for seven years, said at first she didn’t realize how big a role number sense played in calculations like subtraction with big numbers. ”Number sense or number flexibility, it’s never truly named” in the curriculum, Schwartz said. “We try to practice it.” Even something as simple as counting big numbers, including hundreds thousands, and millions, some educators say, can help develop number sense. Counting might seem simple, but for young children, it’s foundational and essential. “These are really big ideas for little kids,” Jordan said.

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LIHEAP Funds Released After Weeks of Delay as States and the District Rush to Protect Households from the Cold

BLACKPRESSUSA NEWSWIRE — The federal government has released $3.6 billion in home heating assistance after a delay that left states preparing for the start of winter without the program’s annual funding.

Published

1 week ago

December 1, 2025

Stacy M. Brown

By Stacy M. Brown
Black Press USA Senior National Correspondent

The federal government has released $3.6 billion in home heating assistance after a delay that left states preparing for the start of winter without the program’s annual funding. The Low-Income Home Energy Assistance Program, known as LIHEAP, helps eligible households pay heating and cooling bills. The release follows a shutdown that stretched 43 days and pushed agencies across the country to warn families of possible disruptions.

State officials in Minnesota, Kansas, New York, and Pennsylvania had already issued alerts that the delay could slow the processing of applications or force families to wait until December for help. In Pennsylvania, more than 300,000 households depend on the program each year. Minnesota officials noted that older adults, young children, and people with disabilities face the highest risk as temperatures fall.

The delay also raised concerns among advocates who track household debt tied to rising utility costs. National Energy Assistance Directors Association Executive Director Mark Wolfe said the funds were “essential and long overdue” and added that high arrearages and increased energy prices have strained families seeking help.

Some states faced additional pressure when other services were affected by the shutdown. According to data reviewed by national energy advocates, roughly 68 percent of LIHEAP households also receive nutrition assistance, and the freeze in multiple programs increased the financial burden on low-income residents. Wolfe said families were placed in “an even more precarious situation than usual” as the shutdown stretched into November.

In Maryland, lawmakers urged the Trump administration to release funds after the state recorded its first cold-related death of the season. The Maryland Department of Health reported that a man in his 30s was found outdoors in Frederick County when temperatures dropped. Last winter, the state documented 75 cold-related deaths, the highest number in five years. Rep Kweisi Mfume joined more than 100 House members calling for immediate federal action and said LIHEAP “is not a luxury” for the 100,000 Maryland households that rely on it. He added that seniors and veterans would be placed at risk if the program remained stalled.

Maryland Gov. Wes Moore used $10.1 million in state funds to keep benefits moving, but noted that states cannot routinely replace federal dollars. His administration said families that rely on medical equipment requiring electricity are particularly vulnerable.

The District of Columbia has already mapped out its FY26 LIHEAP structure in documents filed with the federal government. The District’s plan shows that heating assistance, cooling assistance, weatherization, and year-round crisis assistance operate from October 1 through September 30. The District allocates 50 percent of its LIHEAP funds to heating assistance, 10 percent to cooling, 13 percent to year-round crisis assistance, 15 percent to weatherization, and 10 percent to administrative costs. Two percent is used for services that help residents reduce energy needs, including education on reading utility bills and identifying energy waste.

The District’s plan lists a minimum LIHEAP benefit of $200 and a maximum of $1,800 for both heating and cooling assistance. Crisis benefits are provided separately and may reach up to $500 when needed to resolve an emergency. The plan states that a household is considered in crisis if it has been disconnected from energy service, if heating oil is at 5 percent or less of capacity, or if the household has at least $200 owed after the regular benefit is applied.

The District’s filing notes that LIHEAP staff conduct outreach through community meetings, senior housing sites, Advisory Neighborhood Commissions, social media, posters, and mass mailings. The plan confirms that LIHEAP applicants can apply in person, by mail, by email, or through a mobile-friendly online application and that physically disabled residents may request in-home visits.

As agencies nationwide begin distributing the newly released funds, states continue working through large volumes of applications. Wolfe said LIHEAP administrators “have been notified that the award letters have gone out and the states can begin to draw down the funds.”

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Seven Steps to Help Your Child Build Meaningful Connections

BLACKPRESSUSA NEWSWIRE — Swinging side by side with a friend on the playground. Sharing chalk over bright, colorful sidewalk drawings. Hiding behind a tree during a spirited game of hide-and-seek. These simple moments between children may seem small, but they matter more than we think

Published

1 week ago

December 1, 2025

Oakland Post

By Niyoka McCoy, Ed.D., Chief Learning Officer, Stride/K12

Swinging side by side with a friend on the playground. Sharing chalk over bright, colorful sidewalk drawings. Hiding behind a tree during a spirited game of hide-and-seek. These simple moments between children may seem small, but they matter more than we think: They lay the foundation for some of life’s most important skills.

Through everyday play, young children begin learning essential social and emotional skills like sharing, resolving conflicts, showing empathy, and managing their emotions. These social skills help shape emotional growth and set kids up for long-term success. Socialization in early childhood isn’t just a “nice-to-have”—it’s essential for development.

Yet today, many young children who haven’t yet started school aren’t getting enough consistent, meaningful interaction with peers. Research shows that there’s a decline in active free play and peer socialization when compared to previous generations.

There are many reasons for this. Children who are home with a parent during the day may spend most of their time with adults, limiting opportunities for peer play. Those in daycare or preschool may have restricted free play, and large classrooms can reduce supervision and social coaching. Some children live in rural areas, are homebound due to illness, have full schedules, or rely on screens to fill their playtime. And for some families, finding other families with young children to connect with isn’t easy.

While these challenges can feel significant, opportunities for connection still exist in every community. Families can take simple steps to help children build friendships, create a sense of belonging, and strengthen social skills. Here are some ideas to get started:

Storytime sessions at libraries or local bookstores
Community offerings such as parent-child workshops, art, music, gymnastics, swimming, or sports programs
Weekly events at children’s museums, which may include art projects, music workshops, or science experiments
Outdoor exploration, where kids can play with peers
Local parenting groups that organize playdates and group activities
Volunteer opportunities where children can participate, such as pet adoption events or packing meals at a food bank
Classes for kids at local businesses, including hardware, grocery, or craft stores

Some of these community activities are free or low-cost and give kids the chance to build friendships and practice social skills. Parents can also model positive social behavior by interacting with other parents and encouraging their children to play with their peers.

These may seem like small moments of connection, but they can have a powerful impact. Every time your child shares a toy, plays make-believe with peers, or races a friend down the slide, they’re not just playing—they’re learning the skills that build confidence, empathy, and lasting friendships. And it’s good for you, too. Creating intentional opportunities for play also helps you strengthen your own network of parents who can support one another as your children grow together.

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Seven Steps to Help Your Child Build Meaningful Connections

Published

1 week ago

December 1, 2025

Oakland Post

By Niyoka McCoy, Ed.D., Chief Learning Officer, Stride/K12

Storytime sessions at libraries or local bookstores
Community offerings such as parent-child workshops, art, music, gymnastics, swimming, or sports programs
Weekly events at children’s museums, which may include art projects, music workshops, or science experiments
Outdoor exploration, where kids can play with peers
Local parenting groups that organize playdates and group activities
Volunteer opportunities where children can participate, such as pet adoption events or packing meals at a food bank
Classes for kids at local businesses, including hardware, grocery, or craft stores