The Hidden Issue Behind Math Struggles

This issue is unassuming—quiet, even—until you disturb it with the right questions, the right prodding, the necessary prompting. Then it unfurls. As a tutor, this “hiding-in-plain-sight” systemic issue needs to be acknowledged and treated with urgency—not ignored or brushed off as mildly inconvenient.

At its core, it shows up as students quietly placing limits on themselves—what they think they’re capable of, what they believe they can pursue, and what they start to rule out altogether. Underneath that is the root problem: a lack of number sense, which is a disconnect between elementary math fundamentals and higher-level math—and broader STEM thinking—they’re supposed to be building into.

What’s more troubling is the age group struggling with this: high school students well into the Algebra pipeline or those heading toward higher level math like Pre-calculus and Calculus. So much is memorizing steps and mnemonics or applying tricks to make the math “work,” yet more effort should be put into developing a strong familiarity and comfort with numbers and intuitive math concepts.

Where the Breakdown Starts

Understanding magnitude matters. Students should be able to accurately compare numbers by size. It feeds into the handling of fractions (is ¾ larger or smaller than ⅘ ), exponents (exponential growth and decay), and even abstract limits applications (the limit as we approach zero or infinity) in calculus.

Multiplication and division fluency matters. Forming the habit of doing multiplication and division by hand (remember “carry the one,” and “add a placeholder”?) sets students up to handle all kinds of multiplication and division. Students should be confident in multiplying and dividing decimals, fractions, binomials, polynomials, radicals, or any form of a number—without a calculator.

Identifying connections matters. How many students can say they truly appreciate the concept that addition graduates to multiplication, and multiplication graduates to exponents—and that progression sets up the idea of acceleration, which calculus builds on from day one?

When Understanding Runs Out

When the foundation isn’t there, this is what it feels like. There’s a point where your understanding runs out, but the class doesn’t stop. You keep going—relying on half-understanding and small tricks to get through it, hoping it will click or at least end soon. Then your stomach drops when you realize you can’t reason any further with the math in front of you—but you’re still expected to keep learning on top of it—with several units and several months of learning left.

And moments like that don’t just stay in the classroom. They follow students when they start thinking about what they can do next—what they should study, what careers feel “off-limits,” and what they quietly decide they’re not cut out for. I know this feeling well—I’ve lived this.

“Students don’t just struggle with math—they start to question whether they’re capable of it at all.”

What Number Sense Actually Is

What I’ve described above—the confusion, the guessing, the moment where understanding runs out—is the product of weak number sense. Making conceptual connections back to elementary number sense is the next step after learning how to do the math. I think it’s great to start with doing—to try your hand at something first before you try to fully wrap your mind around its inner workings.

Number sense comes after the doing, when you start delving into the “why”.

Why is multiplying 3 by 2 equal to 6? It’s not just because 2 + 2 +2 = 6 or because 3 x 2 means “give me two of 3.” It is also because if I have 2 groups of 3 items or 3 groups of 2 items I would have 6 total items. It answers why in more than one way, through more than one lens. Number sense is seeing the process visually in your mind—an idea becoming almost tangible. It is proving it works because all roads point back to the same thing. And most importantly it is being able to explain it in your own words and to be understood in that explanation.

Without this foundation, students don’t just struggle with math—they start to question whether they’re capable of it at all. This thinking can start to bleed into adjacent subjects as well—leading students to write off science, technology, research and anything that calls on the very skills they’ve started to give up on.

Why This Matters Beyond the Classroom

And that’s why this matters beyond the classroom. A big part of this, for me, is what happens after high school. The options students feel like they have—or don’t have. Too many students write off entire fields like math, science, or STEM because it felt “too hard,” when in reality it was never about ability. It was about how they were taught, how they studied, and whether they were given the right systems to actually understand what they were learning.

Why wouldn’t you become a nurse, or an engineer, or a geographer, or a computer scientist, or a researcher, or a chemist, or a biologist, or an entrepreneur, or an economist, or an accountant, or a teacher—just because you once struggled with math?

Math and science aren’t just subjects—they’re training grounds. They test resilience, trial and error, and your ability to learn independently. They require you to figure things out through research, practice, and making connections back to fundamentals. And those are the same skills that carry into careers, hobbies, and the way you move through life.

How We Approach This at MethodK

One of my students once told me they hate math and they knew exactly why. It was because they knew they didn’t have a strong foundation; because they knew they were missing fundamental things that would make it all make sense. Their confidence was butchered early on but I didn’t let my student stay stuck in the finality of that reflection. We’ve been filling in the gaps since that conversation and we continue to progress in ways I don’t think they’ll forget this time around.

Struggling doesn’t have to be the final phase or what we resign ourselves to. It takes time, yes. But it also takes careful strategy to rebuild what’s lost—and that is very possible to do.

At MethodK Learning Design, mastery comes from a fluency-based approach to learning. Students should be able to read, write, speak and do math at every level they are learning at. This means establishing a learning approach that teaches how to do the math, then how to explain it, and most importantly how to connect it to corresponding topics. Students should be experimenting with varying levels of independent learning, study and research so that they don’t become reliant on what they are told to know.

There is Still Time

There is still time to give students the understanding and confidence they deserve—and to undo the limits they may have quietly placed on themselves along the way. But it requires targeted work and better supports around the formal system—not more quick fixes. Schools have a role, but they are not the only pillar; parents, tutors, community programs, and coordinated local efforts matter too.

MethodK plans to be one of those supports: diagnostic tutoring, fluency‑centered lessons, and community access to programs that repair gaps. If your student is progressing through courses but struggles to explain the math, that’s a signal. We can map the issue, show what it affects, and begin the patient, specific work that leads to durable mastery. And in doing that, we don’t just rebuild skills—we reopen doors that once felt closed.

What to Do Next…

…practical steps for parents and students:

Parents

• Check in qualitatively: ask your student to explain a concept in their own words, not just show a correct answer.
• Look for the difference between following steps and actually understanding: your student may get homework right, but struggle when the problem looks different or when they’re put under pressure.
• Treat this as urgent, not inevitable: catching gaps early or before major transitions matters.

Students

• Ask “why” in more than one way: try explaining the idea out loud, drawing a helpful illustration, and also picture it in your head.
• Turn steps and formulas into something you can picture: align it with a story, a pattern, or a simple model that makes sense to you.
• When you relearn something, don’t just repeat it: pause and ask why and how the concept works, then connect it to what you’ve learned before and what comes next.

Work With MethodK

Ways to get started:

• Join an Algebra Readiness cohort this summer
• Become a MethodK private tutoring student
• Attend enrichment programs in local libraries and partner spaces