5 Reasons Why Students Should Not Prioritize Speed in Math

Dec 3, 2025 | Manhattan Beach

Between timed tests and classroom pacing, students may come to believe that being fast is what it means to be fluent in math. While quick recall and computation have their place in math learning, they should not be confused with true fluency or deep understanding.

This is something we often stress at Mathnasium. At our centers, each student can progress at their own pace and learn the why and how behind each math concept to foster a true understanding. 

Still, the difference between speed and fluency isn’t always clear to students or parents. That’s why today, our tutors are sharing six insights, shaped by both research and years of hands-on experience, on why understanding beats speed in math.


1. Speed Can Mask Shallow Learning

We often meet students who excel at recalling math formulas or steps in a problem, but when asked to explain why those steps work or apply them in a different context, they hesitate.

What’s at work here is memorization, not comprehension.

Say a student is solving the area of a square. A student quickly recalls the formula, A = a2, and calculates the answer with ease. But when asked why we square the side or what area actually represents, they often can’t explain. They’ve learned the steps, but not the idea behind them.

Even though this might land them the points on a test, it won’t help when the problem is worded differently, extended to other shapes, or requires real-world reasoning. That’s when memorization falls short, and understanding truly matters.

Research exposes this gap, too. A recent study found that students who relied on speed and quick recall didn’t necessarily show stronger number sense or conceptual understanding. In other words, speed alone didn’t reflect true fluency.

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2. Deep Understanding Builds Long-Term Retention

Math is a cumulative subject, and a skill that’s truly grasped becomes a solid base for future learning. 

However, that foundation can be undermined when instruction moves too quickly, when a student’s pace doesn’t match the group, or when the method simply doesn’t make sense to them.

The University of Central Lancashire found that students retained math concepts better when instruction focused on conceptual understanding and engagement. In other words, solid foundations make learning stick.

So when a student is working on something as fundamental as place value, we take the time to ensure they really understand what it means: that a digit’s position changes its value and that numbers are built from tens, hundreds, and thousands, not just symbols on a page. 

With that understanding in place, they’re more likely to remember it and apply it confidently across a wide range of skills, from regrouping in subtraction to estimating large quantities.

3. Speed Emphasis Often Triggers Math Anxiety

Math anxiety is a feeling of stress, worry, or even fear that interferes with a student’s ability to work through math problems. And it’s more common than many people realize. In fact, 67% of U.S. teachers report that students’ math anxiety is a significant challenge in the classroom.

Timed tests and the pressure to respond quickly can heighten this anxiety. This is because, when students feel rushed, their working memory, the part of the brain that holds and processes information, is impacted

This is not to say that tests are to be avoided. But when speed takes center stage, students often begin to associate math with pressure rather than curiosity or confidence.

If students have the room to explore, make sense of concepts, and feel supported, anxiety can subside and give way to clarity. And as their understanding grows, they tend to perform better, even when there’s a time limit.

Strict time limits can trigger math anxiety, even in students who know the material.

4. True Understanding Promotes Critical Thinking & Problem-Solving

We always remind students that math isn’t about getting to the right answer. More likely, it’s about how you get there: the reasoning, the questions you ask, and the connections you make along the way.

Take proportions, for example. A student might memorize how to cross-multiply to solve a ratio problem. But when they’re asked to compare a recipe or scale a model, memorized steps often fall apart. 

What helps is understanding the relationship between the numbers, how one quantity grows in relation to another. That’s reasoning. That’s connection.

Speed-based instruction often skips that part. There’s little time to pause, reflect, or ask why something works the way it does.

When students have time to see the how and why behind an answer, without rushing to get there, they start building critical thinking and problem-solving skills. They learn to ask better questions, test ideas, and figure out what makes sense in math and beyond.

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5. Personalized Pacing Builds Confidence and Independence

When students are expected to move quickly through new material, whether to keep up with the class or to finish on time, many begin to feel lost. They may copy steps or memorize just enough to get through the assignment, but the deeper understanding never clicks.

That kind of pace doesn’t leave room for reflection or real comprehension. Falling behind in that fast-moving environment can even impact their confidence in math and even other classrooms.

A 2015 study on self-paced math learning found that students in individualized settings met significantly more learning standards and developed greater independence and collaboration skills compared to those in traditional classrooms.

At Mathnasium, we build that kind of pacing right into how we teach. Each student follows a personalized learning plan based on their current skill level and learning style. They progress as they master concepts, not when the calendar says it’s time to move on.

This approach helps students build real confidence. They begin to trust their own thinking, take ownership of their progress, and tackle challenges without relying on guesswork or memorized steps. 

Gradually, they become more independent learners because they’re learning in a way that makes sense to them.

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How Mathnasium Promotes Deep Understanding of Math

Each learner has a different way of grasping math. One student might do just fine with verbal instruction and a standard classroom pace. Another might need visual support and a little more time to make sense of the same concept.

We understand that well at Mathnasium. That’s why we go beyond a one-size-fits-all curriculum and use our proprietary teaching approach, the Mathnasium Method™, designed to promote a deep, lasting understanding of math.

It all starts with a diagnostic assessment. But this isn’t your typical formal test, it’s an interactive experience that helps us pinpoint where a student excels, where they need support, and how they prefer to learn. From there, we create a personalized learning plan tailored to their needs.

Once the plan is in place, our tutors follow it closely, teaching math face-to-face in an engaging and supportive setting. They draw on a range of verbal, visual, mental, tactile, and written strategies to match the student’s learning style and make each concept click.

During sessions, students are also given space to work independently or struggle productively before we step in to check their process. Why? Because our goal isn’t just to help them through the work, it’s to build the problem-solving skills they’ll need when we’re not there. We guide them to understand the how and why behind each concept so they can apply their thinking well beyond math class.

Many of our activities are game-based, and we offer meaningful rewards to keep students engaged and motivated as they grow in skill and confidence.

The results? They speak volumes.

  • 94% of parents report an improvement in their child's math skills and understanding

  • 93% of parents report an improved attitude towards math after attending Mathnasium

  • 90% of students saw an improvement in their school grades

Whether your student needs to catch up, keep up, or get ahead, we’ll meet them where they are and guide them toward where they want to go. Contact your nearest Mathnasium Learning Center to schedule a diagnostic assessment and put your child on the path to math mastery.

Visit Us at Mathnasium of Manhattan Beach

Mathnasium of Manhattan Beach is a math-only learning center for K-12 students in Manhattan Beach, CA. 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 to develop a deep understanding of math, build confidence, and improve academic performance.

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