Over the years, I’ve noticed patterns when I look at student work.

Sometimes the homework pages that look great…

...are the ones that make me pause a little.

Not because neat work is a bad thing.

Clear, organized work is important.

But sometimes a problem can look neat and still be missing something important.

Some Red Flags Don’t Look Like Errors

Most people think mistakes are the biggest problem in math.

But sometimes the real warning signs are quieter.

They don’t jump out right away.

You have to look a little closer.

Here are a few things I tend to watch for when reviewing student work.

Work that looks too clean

If a page has only answers and almost no steps, that’s something I pay attention to.

Good math work should be organized and readable.

But it should also show thinking.

Students cross things out and erase.
They test ideas.
They try again.

When work looks too perfect, it can mean:

• They are skipping steps
• They are guessing and just putting something down
• They are doing everything in their head without checking
• Or they are looking up the answers and copying them down

That might work for simple problems. But as math gets harder, it usually catches up with them.

The same mistake repeated again and again

One mistake isn’t the problem.

Seeing the same mistake in five different situations, now that’s the sign.

That tells me the student didn’t recognize what went wrong.

And when mistakes go unnoticed, small gaps slowly turn into bigger ones.

Shortcuts that only work sometimes

Students are creative. Sometimes they invent their own methods.

That can be a good thing.

But if a shortcut only works on certain problems, it creates confusion later.

Take “adding zero” for example. When multiplying 10 by 5, that rule works, but when multiplying by 2.53, adding zero means students don’t understand what is really going on.

When I see errors in understanding like these, I try to slow things down and rebuild the steps carefully so the method makes sense every time.

Work that suddenly disappears … or get messy

This one is easy to miss.

A student starts showing steps…
then fewer steps…or their work starts getting messier and less organized.

Equal signs aren’t lined up.

Notation is nearly impossible to read.

That usually tells me something changed.

Maybe they felt unsure.
Maybe they felt rushed.
Maybe they weren’t sure what to do next.

Instead of asking, they guessed, or, unfortunately, just copied the answers.

Organized Work Matters—But So Does Showing Thinking

Some of the strongest students I’ve worked with had very organized notebooks.

You could read every step.

You could follow their thinking from beginning to end.

Not perfect, but clear. And they are consistent.

Most of the time, when I can see how a student got their answer, I can also see where confusion starts. And that makes it much easier to fix small problems before they turn into bigger ones.

When students don’t show work, show work that doesn’t match how they think, or start to get disorganized…those are red flags that something else might be the matter.

What Parents Can Watch For

You don’t have to be a math expert to spot this.

You just need to look for patterns.

Next time your child finishes homework, take a quick look and ask yourself:

• Are there steps, or just answers?
• Is the work organized enough to follow?
• Can students identify their mistakes?
• Are there consistent gaps in understanding or errors?
• Does the work suddenly stop halfway through a problem?

You don’t have to correct everything.

Just noticing patterns early can prevent bigger struggles later.

If you’ve ever looked at your child’s math work and felt unsure what you were seeing, you're not the only one. Feel free to reply and describe what you’re noticing. Sometimes a second set of eyes helps more than you’d think.

P.S. Summer is a great time to fix small gaps before they grow into bigger ones. We are excited to offer classes to help student fill in their gaps or get ahead. You can explore our summer class options here: 2026 Summer Math Classes​
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​P.P.S. We’re also working on the fall schedule now. If you'd like to be notified when new classes open, you can join the fall waitlist here: 2026 Fall Classes​