Growing and Shrinking Patterns: What They Are and How to Help Your Child at Home
Mathnasium tutors break down what growing and shrinking patterns are, how they connect to later math skills, and how to practice them at home in just minutes.
Summer in Ohio is full of simple joys—sun-soaked days at Lake Erie, funnel cakes and Ferris wheels at the county fair, and finally a chance for kids to toss their backpacks aside and just be kids. After a long school year, the break feels well deserved.
But with that freedom comes a quiet trade-off. When math practice stalls for too long, skills start to fade.
A study by the American Educational Research Association (AERA) found that in math, the average student loses between 25 and 34 percent of each school-year gain during the following summer—a phenomenon often referred to as the “summer slide.”
This kind of learning loss can make the return to school more stressful than it needs to be.
That’s why more families are rethinking summer as not just a break, but a smart window for learning.
In this guide, we’ll take a look at how summer math programs help students maintain what they’ve learned, close their gaps, rebuild confidence, and even transform how they feel about the subject.
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The “summer slide” may sound like an amusement park ride, but in reality, it’s the steady erosion of academic skills, especially math, that happens when learning takes a backseat during the break.
And it’s not an isolated issue.
One report published in Kappan magazine found that between 70% and 78% of students experience a decline in math performance over the summer months.
Think of a fifth grader who finally grasped long division in the spring but didn’t touch a math problem for two months. Or a middle schooler who spent weeks building confidence with equations, only to forget key steps by August.
These lapses can quickly snowball. Math is a cumulative subject, so when foundational skills fade, it doesn’t just delay progress—it widens gaps.
A student who starts the year already behind may spend the first few months just trying to catch up, often falling further behind as new material keeps coming. That struggle can lead to frustration, lower confidence, and even avoidance of math altogether.
A structured math program during the summer doesn’t mean sacrificing summer fun—it means keeping skills fresh through light, consistent practice. Programs like Mathnasium’s reinforce what students learned during the school year, helping concepts stay sharp and confidence stay intact.
Instead of starting the fall trying to relearn what was lost, students who engage in summer math instruction often pick up right where they left off—or even ahead of the curve.
With a steady rhythm of review and targeted practice, they’re able to maintain momentum and make the back-to-school transition far smoother and more successful.
By the end of the school year, it’s not uncommon for students to be holding onto some shaky understanding, especially when it comes to tougher math topics. Concepts like fractions, percentages, multi-step word problems, or beginning algebra often leave students feeling uncertain.
And for many, even one or two missed lessons due to illness, vacations, or other disruptions can create gaps that stick.
Summer offers an ideal opportunity to address these struggles without the added pressure of homework, tests, or packed weekly schedules. It’s a more relaxed time when students can take a breath, slow down, and focus on truly understanding the concepts they’ve been grappling with.
That’s exactly where structured support can make a difference. At Mathnasium, each student begins with a diagnostic assessment that helps identify their skill level and learning needs.
This allows instructors to craft a personalized learning plan that meets each student where they are, so they can fill in the gaps and move forward with confidence.
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Struggling with math doesn’t just affect grades—it affects how students see themselves. Over time, repeated frustration can chip away at self-esteem, leading kids to believe they’re “just not a math person.”
In some cases, it even develops into math anxiety, where the subject becomes a source of stress rather than a challenge—a mindset that can linger for years if left unaddressed.
But confidence in math isn’t just a personality trait—it’s something that can be built. As students improve their skills and begin to see progress, that inner narrative starts to shift. A once-intimidating problem becomes a puzzle to solve. A correct answer sparks pride. And a little encouragement goes a long way.
Summer math programs intentionally incorporate games, puzzles, and hands-on activities that turn math into something active and rewarding. Whether it’s cracking a tough riddle or winning a number-based strategy game, students begin to associate math with success—and even enjoyment.
This kind of positive experience helps reshape their relationship with the subject. When learning is engaging and progress is visible, students gain more than just skills—they gain confidence.
Hands-on activities in summer math programs make learning fun and rewarding, helping students see math in a whole new light.
While review is important, summer also opens the door for students to explore what’s coming next. For students moving into more advanced material, like algebra in middle school or geometry in high school, early exposure can make a big difference.
Previewing key concepts ahead of time helps ease the transition into unfamiliar territory. Instead of feeling overwhelmed, students walk into the classroom with a solid foundation, and that can lead to higher confidence, stronger participation, and even better grades.
At Mathnasium, summer sessions can be tailored to introduce next year’s material in a way that makes sense and builds gradually. Whether it’s solving for variables, working with linear equations, or mastering geometry proofs, students can approach the school year with clarity and momentum, not catch-up stress.
By getting familiar with upcoming topics in advance, students aren't just staying on track—they’re setting the pace.
By the time summer arrives, many students carry silent assumptions about math—some rooted in past struggles, others shaped by boredom or burnout.
Maybe they’ve started to believe they’ll never “get it.” Or maybe they’ve lost interest altogether, convinced there’s nothing new or exciting left to learn.
These mindsets don’t often get addressed during the school year, when the focus is on performance and pacing. But summer changes the equation.
Without the pressure of tests and grades, students can reconnect with learning in a way that’s low-stress and curiosity-driven. It becomes a space to explore new strategies, uncover hidden strengths, and build skills that support both classroom learning and real-world confidence. Math shifts from something to endure to something they can grow with.
This shift in environment opens the door to something bigger: a shift in mindset. Struggles turn into steps forward. Boredom gives way to challenge. Confidence begins to take root.
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When students have the time and space to focus on their math skills in a fun, no-pressure environment, they start the new school year not just prepared, but confident.
Summer math at Mathnasium is designed to do precisely that.
Mathnasium is a math-only learning center with locations across the U.S. and internationally, helping students of all skill levels—from those who are behind to those who are ready for more—build a solid foundation for math mastery.
For K–12 students in Blue Ash, Ohio, Mathnasium of Blue Ash is the local center families trust for high-quality math instruction year-round.
Our summer math program is designed to give students exactly what they need to catch up, keep up, or get ahead—all while incorporating engaging activities and a lighter summer feel that keeps learning fun and stress-free.
Each student starts their Mathnasium enrollment with a diagnostic assessment that helps us understand exactly where they are in their learning journey. This includes both strengths and skill gaps, which we use to create a personalized learning plan tailored to their pace, needs, and goals.
Combining personalized learning plans with proven teaching techniques in a supportive and fun group environment, our specially trained instructors employ the Mathnasium Method™—an approach focused on building deep conceptual understanding, not rote memorization.
And the impact speaks for itself:
Whether your child needs focused support, a confidence boost, or a head start on next year’s curriculum, Mathnasium of Blue Ash is here to help them make the most of their summer.
At Mathnasium of Blue Ash, students build skills and confidence in a fun, low-pressure setting—ready to catch up, keep up, or get ahead.
Getting started with the summer math program at Mathnasium of Blue Ash is as simple as one-two-three:
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Mathnasium of Blue Ash is a math-only learning center for K-12 students in Blue Ash, OH. Trusted by over a million parents, Mathnasium uses personalized learning plans and the proprietary Mathnasium Method™ to help students catch up, keep up, and get ahead on their math journey.
Our specially trained tutors deliver face-to-face instruction in a supportive and fun small-group environment, working with students both in center and online to develop a deep understanding of math, build confidence, and improve academic performance.
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